physics 201 final exam - uw-madison department of … · ____ 4. you have a machine which can...

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Name: ______________________ Date: _________ ID: A 1 Physics 201 Final Exam Information and Instructions Student ID Number: ______________________ Section Number: ______________________ TA Name: ______________________ Please fill in all the information above. Please write and bubble your Name and Student Id number on your scantron. Also, fill in your section number under special codes. Finally question 1 asks you to fill in your test ID code which is necessary to correctly grade your exam. The exam has 25 questions (questions 2-26) and you have 2 hours and 15 to complete the exam. Please use 9.80 m/s^2 for the acceleration of gravity on the Earth. Gravitational Constant: 6.673e-11 Nm^2/kg^2 Volume of a sphere 4/3 pi r^3 Density of standard water: 1000kg/m^3 . ____ 1. Please fill in your test ID code

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Name: ______________________ Date: _________ ID: A

1

Physics 201 Final Exam

Information and Instructions

Student ID Number: ______________________

Section Number: ______________________

TA Name: ______________________

Please fill in all the information above.

Please write and bubble your Name and Student Id number on your scantron. Also, fill in your section number under special codes. Finally question 1 asks you to fill in your test ID code which is necessary to correctly grade your exam.

The exam has 25 questions (questions 2-26) and you have 2 hours and 15 to complete the exam.

Please use 9.80 m/s^2 for the acceleration of gravity on the Earth.Gravitational Constant: 6.673e-11 Nm^2/kg^2 Volume of a sphere 4/3 pi r^3Density of standard water: 1000kg/m^3

.

____ 1. Please fill in your test ID code

Name: ______________________ ID: A

2

a. A c. Cb. B d. D

Multiple ChoiceIdentify the choice that best completes the statement or answers the question.

____ 2. A particle moving with a constant acceleration has a velocity of 20.0 cm/s when its position is x = 10.0 cm. Its position 7.0 s later is x = −30.0 cm. What is the acceleration of the particle?a. −7.3 cm/s2

b. −8.9 cm/s2

c. −11 cm/s2

d. −15 cm/s2

e. −13 cm/s2

____ 3. A block is supported on a compressed spring, which, when released, launches the block straight up with velocity vä = v 0yj8. The spring and ledge it sits on then retract so they are not in the way when the block

falls. You can win a prize by hitting the block with a ball. When should you throw the ball and in what direction to be sure the ball hits the block? (Assume the ball can reach the block before the block reaches the ground and that the ball is thrown from a height equal to the release position of the block.)a. At the instant when the block leaves the spring, directed at the block.b. At the instant when the block leaves the spring, directed at the spring.c. At the instant when the block is at the highest point, directed at the block.d. At the instant when the block is at the highest point, directed at the spring.e. When the block is back at the spring's original position, directed at that position.

____ 4. You have a machine which can accelerate pucks on frictionless ice. Starting from rest, the puck travels a distance x in time t when force F is applied. If force 3F is applied instead, the distance the puck travels in time t isa. x.b. (3/2)x.c. 3x.d. (9/2)x.e. 9x.

____ 5. A box rests on the (horizontal) back of a truck. The coefficient of static friction between the box and the surface on which it rests is 0.24. What maximum distance can the truck travel (starting from rest and moving horizontally with constant acceleration) in 3.0 s without having the box slide?a. 14 mb. 11 mc. 19 md. 24 me. 29 m

Name: ______________________ ID: A

3

____ 6. An airplane moves 140 m/s as it travels around a vertical circular loop which has a 1.0-km radius. What is the magnitude of the resultant force on the 70.0-kg pilot of this plane at the bottom of this loop?a. 2.1 kNb. 1.4 kNc. 0.69 kNd. 1.5 kNe. 1.3 kN

____ 7. When a car goes around a circular curve on a level road without slipping,a. no frictional force is needed because the car simply follows the road.b. the frictional force of the road on the car increases when the car's speed decreases.c. the frictional force of the road on the car increases when the car's speed increases.d. the frictional force of the road on the car increases when the car moves to the

outside of the curve.e. there is no net frictional force because the road and the car exert equal and opposite

forces on each other.

____ 8. A block slides on a rough horizontal surface from point A to point B. A force (magnitude P = 2.0 N) acts on the block between A and B, as shown. Points A and B are 1.5 m apart. If the kinetic energies of the block at A and B are 5.0 J and 4.0 J, respectively, how much work is done on the block by the force of friction as the block moves from A to B?

a. −3.3 Jb. +1.3 Jc. +3.3 Jd. −1.3 Je. +4.6 J

____ 9. Two clowns are launched from the same spring-loaded circus cannon with the spring compressed the same distance each time. Clown A has a 40-kg mass; clown B a 60-kg mass. The relation between their kinetic energies at the instant of launch is

a. KA = 32

KB.

b. KA = 32

KB.

c. KA = KB.

d. KB = 32

KA.

e. KB = 32

KA.

Name: ______________________ ID: A

4

____ 10. A 12-kg block on a horizontal frictionless surface is attached to a light spring (force constant = 0.80 kN/m). The block is initially at rest at its equilibrium position when a force (magnitude P = 80.0 N) acting parallel to the surface is applied to the block, as shown. What is the speed of the block when it is 13 cm from its equilibrium position?

a. 0.78 m/sb. 0.81 m/sc. 0.71 m/sd. 0.58 m/se. 0.64 m/s

____ 11. A particle is acted upon by only two forces, one conservative and one nonconservative and neither being a force of friction, as it moves from point A to point B. The kinetic energies of the particle at points A and B are equal ifa. the sum of the works of the two forces is zero.b. the work of the conservative force is equal to the work of the nonconservative force.c. the work of the conservative force is zero.d. the work of the nonconservative force is zero.e. None of the above.

____ 12. A 4.0-kg mass has a velocity of 4.0 m/s, east when it explodes into two 2.0-kg masses. After the explosion one of the masses has a velocity of 3.0 m/s at an angle of 60.0° north of east. What is the magnitude of the velocity of the other mass after the explosion?a. 7.9 m/sb. 8.9 m/sc. 7.0 m/sd. 6.1 m/se. 6.7 m/s

Name: ______________________ ID: A

5

____ 13. A wheel (radius = 0.20 m) is mounted on a frictionless, horizontal axis. A light cord wrapped around the wheel supports a 0.50-kg object, as shown in the figure. When released from rest the object falls with a downward acceleration of 5.0 m/s2. What is the moment of inertia of the wheel?

a. 0.023 kg⋅m2

b. 0.027 kg⋅m2

c. 0.016 kg⋅m2

d. 0.019 kg⋅m2

e. 0.032 kg⋅m2

____ 14. A solid sphere, a solid cylinder, a spherical shell, and a hoop all have the same mass and radius. Each are rolling on a horizontal surface with the same center of mass speed, and then they roll up identical inclines. Which one goes the greatest distance up its incline?a. the hoopb. the solid spherec. the spherical shelld. the cylindere. They all go the same distance up their inclines.

____ 15. A thin rod of mass M and length L is struck at one end by a ball of clay of mass m , moving with speed v as shown in the figure. The ball sticks to the rod. After the collision, the angular momentum of the clay-rod system about A, the midpoint of the rod, is

a. (m + M/3)(vL/2)b. (m + M/12)(vL/2)c. (m + M/6)(vL/2)d. mvL/2e. mvL

Name: ______________________ ID: A

6

Exhibit 11-1Two blocks of masses m 1 and m 2 are connected by a light cord that passes over a uniform density cylindrical pulley of mass M, as shown. Block m 2 slides on a frictionless horizontal surface. The blocks and pulley are initially at rest. When m 1 is released, the blocks accelerate and the pulley rotates.

Use this exhibit to answer the following question(s).

____ 16. Refer to Exhibit 11-1. The total angular momentum of the system of the two blocks and the pulley relative to the axis of rotation of the pulley isa. proportional to the radius of the pulley.b. proportional to the speed of the blocks.c. proportional to the length of the string.d. to all of the above.e. only to (a) and (b) above.

____ 17. A uniform ladder 15 ft long is leaning against a frictionless wall at an angle of 53° above the horizontal. The weight of the ladder is 30 pounds. A 75-lb boy climbs 6.0-ft up the length of the ladder. What is the magnitude of the friction force exerted on the ladder by the floor? 1 ft = 0.3048 m. 1 lb = 4.4448 N.a. 43 lbb. 34 lbc. 38 lbd. 47 lbe. 24 lb

____ 18. The figure below shows a planet traveling in a counterclockwise direction on an elliptical path around a star located at one focus of the ellipse. When the planet is at point A,

a. its speed is decreasing.b. its angular momentum is increasing.c. the gravitational force does no work on the planet.d. all of the above are correct.e. none of the above is correct.

Name: ______________________ ID: A

7

____ 19. Find the average density of a red giant star with a mass of 20 × 103 0 kg (approximately 10 solar masses) and a radius of 150 × 109 m (equal to the Earth's distance from the sun).a. 1.41 × 10−4 kg/m3

b. 0.007 kg/m3

c. 1.41 kg/m3

d. 710 kg/m3

e. 1.41 × 10−3 kg/m3

____ 20. Some species of whales can dive to depths of one kilometer. What is the total pressure they experience at this depth? (ρsea = 1020 kg/m3 and 1.01 × 105 N/m2 = 1.00 ATM.)a. 9.00 ATMb. 90.0 ATMc. 100 ATMd. 111 ATMe. 130 ATM

____ 21. Melanie says that when a diver enters an underwater cave of height h, the pressure on her is no greater than ρWgh. Rosalind says that if the bottom of the cave is a distance H below the water surface, the pressure on the soles of the diver's feet can reach ρWgH. Which one, if either, is correct? (The density of water is ρW.)a. Melanie, because the roof of the cave absorbs the water pressure from above.b. Melanie, because only the fluid directly above any volume of the fluid can contribute

to the pressure on that volume.c. Rosalind, because a fluid exerts equal pressure in all directions at a given depth.d. Rosalind, because the pressure also depends on the density, ρc, of the material above

the cave roof, so that p = ρcg(H − h) + ρWgh.e. Melanie, because the pressure equals p = ρWgH − ρcg(H − h).

____ 22. Water is flowing at 4.0 m/s in a pipe with circular cross section. If the diameter of the pipe decreases to 1/2 its former value, what is the velocity of the water downstream?a. 1.0 m/sb. 2.0 m/sc. 8.0 m/sd. 16 m/se. 4.0 m/s

____ 23. A fountain sends water to a height of 100 meters. What must be the pressurization (above atmospheric) of the water system? 1 ATM = 1.01 × 105 N/m2.a. 1.0 ATMb. 4.2 ATMc. 7.2 ATMd. 9.7 ATMe. 8.2 ATM

Name: ______________________ ID: A

8

____ 24. A body oscillates with simple harmonic motion along the x axis. Its displacement varies with time according to the equation x = 5.0 cos (πt)), where the amplitude, 5.0, is in meters. The magnitude of the acceleration (in m/s2) of the body at t = 1.0 s is approximatelya. 3.5b. 49c. 14d. 43e. 4.3

____ 25. The mass in the figure slides on a frictionless surface. If m = 2 kg, k1 = 650 N/m and k2 = 650 N/m, the frequency of oscillation (in Hz) is approximately

a. 6b. 2c. 4d. 8e. 10

Exhibit 15-1A graph of position versus time for an object oscillating at the free end of a horizontal spring is shown below.

Use this exhibit to answer the following question(s).

____ 26. Refer to Exhibit 15-1. The point at which the object has zero velocity and positive acceleration isa. Ab. Bc. Cd. De. E

ID: A

1

Physics 201 Final ExamAnswer Section

MULTIPLE RESPONSE

1. ANS: A, B, C, D PTS: 1

MULTIPLE CHOICE

2. ANS: A PTS: 2 DIF: Average 3. ANS: C PTS: 2 DIF: Average 4. ANS: C PTS: 1 DIF: Easy 5. ANS: B PTS: 2 DIF: Average 6. ANS: B PTS: 2 DIF: Average 7. ANS: C PTS: 1 DIF: Easy 8. ANS: A PTS: 2 DIF: Average 9. ANS: C PTS: 1 DIF: Easy 10. ANS: A PTS: 2 DIF: Average 11. ANS: A PTS: 1 DIF: Easy 12. ANS: C PTS: 2 DIF: Average 13. ANS: D PTS: 2 DIF: Average 14. ANS: A PTS: 2 DIF: Average 15. ANS: D PTS: 1 DIF: Easy 16. ANS: E PTS: 2 DIF: Average 17. ANS: B PTS: 2 DIF: Average 18. ANS: E PTS: 1 DIF: Easy 19. ANS: E PTS: 2 DIF: Average 20. ANS: C PTS: 2 DIF: Average 21. ANS: C PTS: 2 DIF: Average 22. ANS: D PTS: 2 DIF: Average 23. ANS: D PTS: 2 DIF: Average 24. ANS: B PTS: 2 DIF: Average 25. ANS: C PTS: 2 DIF: Average 26. ANS: D PTS: 1 DIF: Easy

Name: ______________________ Date: _________ ID: B

1

Physics 201 Final Exam

Information and Instructions

Student ID Number: ______________________

Section Number: ______________________

TA Name: ______________________

Please fill in all the information above.

Please write and bubble your Name and Student Id number on your scantron. Also, fill in your section number under special codes. Finally question 1 asks you to fill in your test ID code which is necessary to correctly grade your exam.

The exam has 25 questions (questions 2-26) and you have 2 hours and 15 to complete the exam.

Please use 9.80 m/s^2 for the acceleration of gravity on the Earth.Gravitational Constant: 6.673e-11 Nm^2/kg^2 Volume of a sphere 4/3 pi r^3Density of standard water: 1000kg/m^3

.

____ 1. Please fill in your test ID code

Name: ______________________ ID: B

2

a. A c. Cb. B d. D

Multiple ChoiceIdentify the choice that best completes the statement or answers the question.

____ 2. A particle moving with a constant acceleration has a velocity of 20.0 cm/s when its position is x = 10.0 cm. Its position 7.0 s later is x = −30.0 cm. What is the acceleration of the particle?a. −8.9 cm/s2

b. −13 cm/s2

c. −15 cm/s2

d. −7.3 cm/s2

e. −11 cm/s2

____ 3. A block is supported on a compressed spring, which, when released, launches the block straight up with velocity vä = v 0yj8. The spring and ledge it sits on then retract so they are not in the way when the block

falls. You can win a prize by hitting the block with a ball. When should you throw the ball and in what direction to be sure the ball hits the block? (Assume the ball can reach the block before the block reaches the ground and that the ball is thrown from a height equal to the release position of the block.)a. At the instant when the block is at the highest point, directed at the spring.b. At the instant when the block leaves the spring, directed at the block.c. At the instant when the block leaves the spring, directed at the spring.d. When the block is back at the spring's original position, directed at that position.e. At the instant when the block is at the highest point, directed at the block.

____ 4. You have a machine which can accelerate pucks on frictionless ice. Starting from rest, the puck travels a distance x in time t when force F is applied. If force 3F is applied instead, the distance the puck travels in time t isa. (3/2)x.b. x.c. 9x.d. 3x.e. (9/2)x.

____ 5. A box rests on the (horizontal) back of a truck. The coefficient of static friction between the box and the surface on which it rests is 0.24. What maximum distance can the truck travel (starting from rest and moving horizontally with constant acceleration) in 3.0 s without having the box slide?a. 24 mb. 14 mc. 29 md. 11 me. 19 m

Name: ______________________ ID: B

3

____ 6. An airplane moves 140 m/s as it travels around a vertical circular loop which has a 1.0-km radius. What is the magnitude of the resultant force on the 70.0-kg pilot of this plane at the bottom of this loop?a. 1.5 kNb. 0.69 kNc. 1.4 kNd. 2.1 kNe. 1.3 kN

____ 7. When a car goes around a circular curve on a level road without slipping,a. the frictional force of the road on the car increases when the car's speed decreases.b. there is no net frictional force because the road and the car exert equal and opposite

forces on each other.c. the frictional force of the road on the car increases when the car moves to the

outside of the curve.d. no frictional force is needed because the car simply follows the road.e. the frictional force of the road on the car increases when the car's speed increases.

____ 8. A block slides on a rough horizontal surface from point A to point B. A force (magnitude P = 2.0 N) acts on the block between A and B, as shown. Points A and B are 1.5 m apart. If the kinetic energies of the block at A and B are 5.0 J and 4.0 J, respectively, how much work is done on the block by the force of friction as the block moves from A to B?

a. +1.3 Jb. −1.3 Jc. +4.6 Jd. −3.3 Je. +3.3 J

____ 9. Two clowns are launched from the same spring-loaded circus cannon with the spring compressed the same distance each time. Clown A has a 40-kg mass; clown B a 60-kg mass. The relation between their kinetic energies at the instant of launch is

a. KA = 32

KB.

b. KB = 32

KA.

c. KB = 32

KA.

d. KA = 32

KB.

e. KA = KB.

Name: ______________________ ID: B

4

____ 10. A 12-kg block on a horizontal frictionless surface is attached to a light spring (force constant = 0.80 kN/m). The block is initially at rest at its equilibrium position when a force (magnitude P = 80.0 N) acting parallel to the surface is applied to the block, as shown. What is the speed of the block when it is 13 cm from its equilibrium position?

a. 0.64 m/sb. 0.78 m/sc. 0.81 m/sd. 0.58 m/se. 0.71 m/s

____ 11. A particle is acted upon by only two forces, one conservative and one nonconservative and neither being a force of friction, as it moves from point A to point B. The kinetic energies of the particle at points A and B are equal ifa. the work of the conservative force is equal to the work of the nonconservative force.b. the sum of the works of the two forces is zero.c. the work of the conservative force is zero.d. the work of the nonconservative force is zero.e. None of the above.

____ 12. A 4.0-kg mass has a velocity of 4.0 m/s, east when it explodes into two 2.0-kg masses. After the explosion one of the masses has a velocity of 3.0 m/s at an angle of 60.0° north of east. What is the magnitude of the velocity of the other mass after the explosion?a. 8.9 m/sb. 6.1 m/sc. 6.7 m/sd. 7.9 m/se. 7.0 m/s

Name: ______________________ ID: B

5

____ 13. A wheel (radius = 0.20 m) is mounted on a frictionless, horizontal axis. A light cord wrapped around the wheel supports a 0.50-kg object, as shown in the figure. When released from rest the object falls with a downward acceleration of 5.0 m/s2. What is the moment of inertia of the wheel?

a. 0.032 kg⋅m2

b. 0.016 kg⋅m2

c. 0.027 kg⋅m2

d. 0.023 kg⋅m2

e. 0.019 kg⋅m2

____ 14. A solid sphere, a solid cylinder, a spherical shell, and a hoop all have the same mass and radius. Each are rolling on a horizontal surface with the same center of mass speed, and then they roll up identical inclines. Which one goes the greatest distance up its incline?a. the cylinderb. the solid spherec. the hoopd. the spherical shelle. They all go the same distance up their inclines.

____ 15. A thin rod of mass M and length L is struck at one end by a ball of clay of mass m , moving with speed v as shown in the figure. The ball sticks to the rod. After the collision, the angular momentum of the clay-rod system about A, the midpoint of the rod, is

a. mvL/2b. (m + M/6)(vL/2)c. mvLd. (m + M/12)(vL/2)e. (m + M/3)(vL/2)

Name: ______________________ ID: B

6

Exhibit 11-1Two blocks of masses m 1 and m 2 are connected by a light cord that passes over a uniform density cylindrical pulley of mass M, as shown. Block m 2 slides on a frictionless horizontal surface. The blocks and pulley are initially at rest. When m 1 is released, the blocks accelerate and the pulley rotates.

Use this exhibit to answer the following question(s).

____ 16. Refer to Exhibit 11-1. The total angular momentum of the system of the two blocks and the pulley relative to the axis of rotation of the pulley isa. proportional to the radius of the pulley.b. proportional to the speed of the blocks.c. proportional to the length of the string.d. to all of the above.e. only to (a) and (b) above.

____ 17. A uniform ladder 15 ft long is leaning against a frictionless wall at an angle of 53° above the horizontal. The weight of the ladder is 30 pounds. A 75-lb boy climbs 6.0-ft up the length of the ladder. What is the magnitude of the friction force exerted on the ladder by the floor? 1 ft = 0.3048 m. 1 lb = 4.4448 N.a. 38 lbb. 43 lbc. 24 lbd. 47 lbe. 34 lb

____ 18. The figure below shows a planet traveling in a counterclockwise direction on an elliptical path around a star located at one focus of the ellipse. When the planet is at point A,

a. its angular momentum is increasing.b. the gravitational force does no work on the planet.c. its speed is decreasing.d. all of the above are correct.e. none of the above is correct.

Name: ______________________ ID: B

7

____ 19. Find the average density of a red giant star with a mass of 20 × 103 0 kg (approximately 10 solar masses) and a radius of 150 × 109 m (equal to the Earth's distance from the sun).a. 710 kg/m3

b. 1.41 kg/m3

c. 1.41 × 10−4 kg/m3

d. 1.41 × 10−3 kg/m3

e. 0.007 kg/m3

____ 20. Some species of whales can dive to depths of one kilometer. What is the total pressure they experience at this depth? (ρsea = 1020 kg/m3 and 1.01 × 105 N/m2 = 1.00 ATM.)a. 111 ATMb. 9.00 ATMc. 130 ATMd. 90.0 ATMe. 100 ATM

____ 21. Melanie says that when a diver enters an underwater cave of height h, the pressure on her is no greater than ρWgh. Rosalind says that if the bottom of the cave is a distance H below the water surface, the pressure on the soles of the diver's feet can reach ρWgH. Which one, if either, is correct? (The density of water is ρW.)a. Rosalind, because a fluid exerts equal pressure in all directions at a given depth.b. Melanie, because only the fluid directly above any volume of the fluid can contribute

to the pressure on that volume.c. Melanie, because the roof of the cave absorbs the water pressure from above.d. Rosalind, because the pressure also depends on the density, ρc, of the material above

the cave roof, so that p = ρcg(H − h) + ρWgh.e. Melanie, because the pressure equals p = ρWgH − ρcg(H − h).

____ 22. Water is flowing at 4.0 m/s in a pipe with circular cross section. If the diameter of the pipe decreases to 1/2 its former value, what is the velocity of the water downstream?a. 16 m/sb. 4.0 m/sc. 1.0 m/sd. 2.0 m/se. 8.0 m/s

____ 23. A fountain sends water to a height of 100 meters. What must be the pressurization (above atmospheric) of the water system? 1 ATM = 1.01 × 105 N/m2.a. 8.2 ATMb. 7.2 ATMc. 1.0 ATMd. 4.2 ATMe. 9.7 ATM

Name: ______________________ ID: B

8

____ 24. A body oscillates with simple harmonic motion along the x axis. Its displacement varies with time according to the equation x = 5.0 cos (πt)), where the amplitude, 5.0, is in meters. The magnitude of the acceleration (in m/s2) of the body at t = 1.0 s is approximatelya. 4.3b. 49c. 43d. 14e. 3.5

____ 25. The mass in the figure slides on a frictionless surface. If m = 2 kg, k1 = 650 N/m and k2 = 650 N/m, the frequency of oscillation (in Hz) is approximately

a. 4b. 10c. 2d. 8e. 6

Exhibit 15-1A graph of position versus time for an object oscillating at the free end of a horizontal spring is shown below.

Use this exhibit to answer the following question(s).

____ 26. Refer to Exhibit 15-1. The point at which the object has zero velocity and positive acceleration isa. Ab. Bc. Cd. De. E

ID: B

1

Physics 201 Final ExamAnswer Section

MULTIPLE RESPONSE

1. ANS: A, B, C, D PTS: 1

MULTIPLE CHOICE

2. ANS: D PTS: 2 DIF: Average 3. ANS: E PTS: 2 DIF: Average 4. ANS: D PTS: 1 DIF: Easy 5. ANS: D PTS: 2 DIF: Average 6. ANS: C PTS: 2 DIF: Average 7. ANS: E PTS: 1 DIF: Easy 8. ANS: D PTS: 2 DIF: Average 9. ANS: E PTS: 1 DIF: Easy 10. ANS: B PTS: 2 DIF: Average 11. ANS: B PTS: 1 DIF: Easy 12. ANS: E PTS: 2 DIF: Average 13. ANS: E PTS: 2 DIF: Average 14. ANS: C PTS: 2 DIF: Average 15. ANS: A PTS: 1 DIF: Easy 16. ANS: E PTS: 2 DIF: Average 17. ANS: E PTS: 2 DIF: Average 18. ANS: E PTS: 1 DIF: Easy 19. ANS: D PTS: 2 DIF: Average 20. ANS: E PTS: 2 DIF: Average 21. ANS: A PTS: 2 DIF: Average 22. ANS: A PTS: 2 DIF: Average 23. ANS: E PTS: 2 DIF: Average 24. ANS: B PTS: 2 DIF: Average 25. ANS: A PTS: 2 DIF: Average 26. ANS: D PTS: 1 DIF: Easy

Name: ______________________ Date: _________ ID: C

1

Physics 201 Final Exam

Information and Instructions

Student ID Number: ______________________

Section Number: ______________________

TA Name: ______________________

Please fill in all the information above.

Please write and bubble your Name and Student Id number on your scantron. Also, fill in your section number under special codes. Finally question 1 asks you to fill in your test ID code which is necessary to correctly grade your exam.

The exam has 25 questions (questions 2-26) and you have 2 hours and 15 to complete the exam.

Please use 9.80 m/s^2 for the acceleration of gravity on the Earth.Gravitational Constant: 6.673e-11 Nm^2/kg^2 Volume of a sphere 4/3 pi r^3Density of standard water: 1000kg/m^3

.

____ 1. Please fill in your test ID code

Name: ______________________ ID: C

2

a. A c. Cb. B d. D

Multiple ChoiceIdentify the choice that best completes the statement or answers the question.

____ 2. A particle moving with a constant acceleration has a velocity of 20.0 cm/s when its position is x = 10.0 cm. Its position 7.0 s later is x = −30.0 cm. What is the acceleration of the particle?a. −7.3 cm/s2

b. −15 cm/s2

c. −11 cm/s2

d. −13 cm/s2

e. −8.9 cm/s2

____ 3. A block is supported on a compressed spring, which, when released, launches the block straight up with velocity vä = v 0yj8. The spring and ledge it sits on then retract so they are not in the way when the block

falls. You can win a prize by hitting the block with a ball. When should you throw the ball and in what direction to be sure the ball hits the block? (Assume the ball can reach the block before the block reaches the ground and that the ball is thrown from a height equal to the release position of the block.)a. When the block is back at the spring's original position, directed at that position.b. At the instant when the block leaves the spring, directed at the spring.c. At the instant when the block is at the highest point, directed at the block.d. At the instant when the block is at the highest point, directed at the spring.e. At the instant when the block leaves the spring, directed at the block.

____ 4. You have a machine which can accelerate pucks on frictionless ice. Starting from rest, the puck travels a distance x in time t when force F is applied. If force 3F is applied instead, the distance the puck travels in time t isa. (3/2)x.b. x.c. 9x.d. 3x.e. (9/2)x.

____ 5. A box rests on the (horizontal) back of a truck. The coefficient of static friction between the box and the surface on which it rests is 0.24. What maximum distance can the truck travel (starting from rest and moving horizontally with constant acceleration) in 3.0 s without having the box slide?a. 11 mb. 19 mc. 14 md. 29 me. 24 m

Name: ______________________ ID: C

3

____ 6. An airplane moves 140 m/s as it travels around a vertical circular loop which has a 1.0-km radius. What is the magnitude of the resultant force on the 70.0-kg pilot of this plane at the bottom of this loop?a. 1.4 kNb. 2.1 kNc. 1.5 kNd. 0.69 kNe. 1.3 kN

____ 7. When a car goes around a circular curve on a level road without slipping,a. the frictional force of the road on the car increases when the car moves to the

outside of the curve.b. there is no net frictional force because the road and the car exert equal and opposite

forces on each other.c. the frictional force of the road on the car increases when the car's speed decreases.d. no frictional force is needed because the car simply follows the road.e. the frictional force of the road on the car increases when the car's speed increases.

____ 8. A block slides on a rough horizontal surface from point A to point B. A force (magnitude P = 2.0 N) acts on the block between A and B, as shown. Points A and B are 1.5 m apart. If the kinetic energies of the block at A and B are 5.0 J and 4.0 J, respectively, how much work is done on the block by the force of friction as the block moves from A to B?

a. +4.6 Jb. −1.3 Jc. −3.3 Jd. +1.3 Je. +3.3 J

____ 9. Two clowns are launched from the same spring-loaded circus cannon with the spring compressed the same distance each time. Clown A has a 40-kg mass; clown B a 60-kg mass. The relation between their kinetic energies at the instant of launch is

a. KA = 32

KB.

b. KB = 32

KA.

c. KA = KB.

d. KB = 32

KA.

e. KA = 32

KB.

Name: ______________________ ID: C

4

____ 10. A 12-kg block on a horizontal frictionless surface is attached to a light spring (force constant = 0.80 kN/m). The block is initially at rest at its equilibrium position when a force (magnitude P = 80.0 N) acting parallel to the surface is applied to the block, as shown. What is the speed of the block when it is 13 cm from its equilibrium position?

a. 0.71 m/sb. 0.78 m/sc. 0.58 m/sd. 0.64 m/se. 0.81 m/s

____ 11. A particle is acted upon by only two forces, one conservative and one nonconservative and neither being a force of friction, as it moves from point A to point B. The kinetic energies of the particle at points A and B are equal ifa. the sum of the works of the two forces is zero.b. the work of the conservative force is zero.c. the work of the nonconservative force is zero.d. the work of the conservative force is equal to the work of the nonconservative force.e. None of the above.

____ 12. A 4.0-kg mass has a velocity of 4.0 m/s, east when it explodes into two 2.0-kg masses. After the explosion one of the masses has a velocity of 3.0 m/s at an angle of 60.0° north of east. What is the magnitude of the velocity of the other mass after the explosion?a. 6.1 m/sb. 6.7 m/sc. 7.9 m/sd. 8.9 m/se. 7.0 m/s

Name: ______________________ ID: C

5

____ 13. A wheel (radius = 0.20 m) is mounted on a frictionless, horizontal axis. A light cord wrapped around the wheel supports a 0.50-kg object, as shown in the figure. When released from rest the object falls with a downward acceleration of 5.0 m/s2. What is the moment of inertia of the wheel?

a. 0.019 kg⋅m2

b. 0.027 kg⋅m2

c. 0.023 kg⋅m2

d. 0.032 kg⋅m2

e. 0.016 kg⋅m2

____ 14. A solid sphere, a solid cylinder, a spherical shell, and a hoop all have the same mass and radius. Each are rolling on a horizontal surface with the same center of mass speed, and then they roll up identical inclines. Which one goes the greatest distance up its incline?a. the solid sphereb. the hoopc. the spherical shelld. the cylindere. They all go the same distance up their inclines.

____ 15. A thin rod of mass M and length L is struck at one end by a ball of clay of mass m , moving with speed v as shown in the figure. The ball sticks to the rod. After the collision, the angular momentum of the clay-rod system about A, the midpoint of the rod, is

a. mvL/2b. (m + M/3)(vL/2)c. mvLd. (m + M/12)(vL/2)e. (m + M/6)(vL/2)

Name: ______________________ ID: C

6

Exhibit 11-1Two blocks of masses m 1 and m 2 are connected by a light cord that passes over a uniform density cylindrical pulley of mass M, as shown. Block m 2 slides on a frictionless horizontal surface. The blocks and pulley are initially at rest. When m 1 is released, the blocks accelerate and the pulley rotates.

Use this exhibit to answer the following question(s).

____ 16. Refer to Exhibit 11-1. The total angular momentum of the system of the two blocks and the pulley relative to the axis of rotation of the pulley isa. proportional to the radius of the pulley.b. proportional to the speed of the blocks.c. proportional to the length of the string.d. to all of the above.e. only to (a) and (b) above.

____ 17. A uniform ladder 15 ft long is leaning against a frictionless wall at an angle of 53° above the horizontal. The weight of the ladder is 30 pounds. A 75-lb boy climbs 6.0-ft up the length of the ladder. What is the magnitude of the friction force exerted on the ladder by the floor? 1 ft = 0.3048 m. 1 lb = 4.4448 N.a. 47 lbb. 34 lbc. 43 lbd. 38 lbe. 24 lb

____ 18. The figure below shows a planet traveling in a counterclockwise direction on an elliptical path around a star located at one focus of the ellipse. When the planet is at point A,

a. its speed is decreasing.b. the gravitational force does no work on the planet.c. its angular momentum is increasing.d. all of the above are correct.e. none of the above is correct.

Name: ______________________ ID: C

7

____ 19. Find the average density of a red giant star with a mass of 20 × 103 0 kg (approximately 10 solar masses) and a radius of 150 × 109 m (equal to the Earth's distance from the sun).a. 1.41 × 10−3 kg/m3

b. 1.41 × 10−4 kg/m3

c. 1.41 kg/m3

d. 0.007 kg/m3

e. 710 kg/m3

____ 20. Some species of whales can dive to depths of one kilometer. What is the total pressure they experience at this depth? (ρsea = 1020 kg/m3 and 1.01 × 105 N/m2 = 1.00 ATM.)a. 9.00 ATMb. 90.0 ATMc. 130 ATMd. 111 ATMe. 100 ATM

____ 21. Melanie says that when a diver enters an underwater cave of height h, the pressure on her is no greater than ρWgh. Rosalind says that if the bottom of the cave is a distance H below the water surface, the pressure on the soles of the diver's feet can reach ρWgH. Which one, if either, is correct? (The density of water is ρW.)a. Melanie, because the roof of the cave absorbs the water pressure from above.b. Melanie, because the pressure equals p = ρWgH − ρcg(H − h).c. Rosalind, because a fluid exerts equal pressure in all directions at a given depth.d. Melanie, because only the fluid directly above any volume of the fluid can contribute

to the pressure on that volume.e. Rosalind, because the pressure also depends on the density, ρc, of the material above

the cave roof, so that p = ρcg(H − h) + ρWgh.

____ 22. Water is flowing at 4.0 m/s in a pipe with circular cross section. If the diameter of the pipe decreases to 1/2 its former value, what is the velocity of the water downstream?a. 4.0 m/sb. 8.0 m/sc. 16 m/sd. 2.0 m/se. 1.0 m/s

____ 23. A fountain sends water to a height of 100 meters. What must be the pressurization (above atmospheric) of the water system? 1 ATM = 1.01 × 105 N/m2.a. 4.2 ATMb. 1.0 ATMc. 8.2 ATMd. 7.2 ATMe. 9.7 ATM

Name: ______________________ ID: C

8

____ 24. A body oscillates with simple harmonic motion along the x axis. Its displacement varies with time according to the equation x = 5.0 cos (πt)), where the amplitude, 5.0, is in meters. The magnitude of the acceleration (in m/s2) of the body at t = 1.0 s is approximatelya. 49b. 3.5c. 43d. 14e. 4.3

____ 25. The mass in the figure slides on a frictionless surface. If m = 2 kg, k1 = 650 N/m and k2 = 650 N/m, the frequency of oscillation (in Hz) is approximately

a. 2b. 8c. 6d. 10e. 4

Exhibit 15-1A graph of position versus time for an object oscillating at the free end of a horizontal spring is shown below.

Use this exhibit to answer the following question(s).

____ 26. Refer to Exhibit 15-1. The point at which the object has zero velocity and positive acceleration isa. Ab. Bc. Cd. De. E

ID: C

1

Physics 201 Final ExamAnswer Section

MULTIPLE RESPONSE

1. ANS: A, B, C, D PTS: 1

MULTIPLE CHOICE

2. ANS: A PTS: 2 DIF: Average 3. ANS: C PTS: 2 DIF: Average 4. ANS: D PTS: 1 DIF: Easy 5. ANS: A PTS: 2 DIF: Average 6. ANS: A PTS: 2 DIF: Average 7. ANS: E PTS: 1 DIF: Easy 8. ANS: C PTS: 2 DIF: Average 9. ANS: C PTS: 1 DIF: Easy 10. ANS: B PTS: 2 DIF: Average 11. ANS: A PTS: 1 DIF: Easy 12. ANS: E PTS: 2 DIF: Average 13. ANS: A PTS: 2 DIF: Average 14. ANS: B PTS: 2 DIF: Average 15. ANS: A PTS: 1 DIF: Easy 16. ANS: E PTS: 2 DIF: Average 17. ANS: B PTS: 2 DIF: Average 18. ANS: E PTS: 1 DIF: Easy 19. ANS: A PTS: 2 DIF: Average 20. ANS: E PTS: 2 DIF: Average 21. ANS: C PTS: 2 DIF: Average 22. ANS: C PTS: 2 DIF: Average 23. ANS: E PTS: 2 DIF: Average 24. ANS: A PTS: 2 DIF: Average 25. ANS: E PTS: 2 DIF: Average 26. ANS: D PTS: 1 DIF: Easy