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PHYS-1600/2000 I6 Curved Path Motion NEBRASKA WESLEYAN UNIVERSITY FALL 2014-2015 DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 14 1 Today’s Puzzler: You are given two slow-burning fuses (like the “wick” for a firecracker or a stick of dynamite), and a box of matches. The fuses are not identical, and burn at different rates. In fact, neither one burns a a constant rate. All you know about each fuse is that each takes exactly one hour to burn from end to end – though the first half might burn in 5 minutes and the second half in 55 minutes. How can you use these two fuses to tell when 45 minutes have passed? 1. I have the answer! 2. I can’t figure it out. source: shared at physicsforums.com

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PHYS-1600/2000 I6 Curved Path Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 141

Today’s Puzzler:

You are given two slow-burning fuses (like the “wick” for a firecracker or a stick of dynamite), and a box of matches.

The fuses are not identical, and burn at different rates. In fact, neither one burns a a constant rate.

All you know about each fuse is that each takes exactly one hour to burn from end to end – though the first half might burn in 5 minutes and the second half in 55 minutes.

How can you use these two fuses to tell when 45 minutes have passed?

1. I have the answer!2. I can’t figure it out.

source: shared at physicsforums.com

PHYS-1600/2000 I6 Curved Path Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 142

ANNOUNCEMENTS

• Handed-in HW now available.• Check MP solutions on schedule page.

ITEM DURATION START

Introductory Concept Survey (Individual) 0:10 0:00

Relationship between Position and Velocity 0:30 0:10

Relationship between Velocity and Acceleration 0:30 0:40

Maze Game 0:20 1:10

Survey Re-vote (Group Discussion Mode) 0:10 1:30

Dismissal 1:40

AGENDA

PHYS-1600/2000 I6 Curved Path Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 143

1 of 3

A bumblebee is flying along the path of motion shown. Which of the vectors shown best represents the displacement of the bumblebee over the time t1 to time t2?

x

r1

y

r2

2 31

4

PHYS-1600/2000 I6 Curved Path Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 144

2 of 3

A bumblebee is flying along the path of motion shown. Which of the vectors shown best represents the average acceleration of the bumblebee over the time t1 to time t2?

x

v1y

2 31

4

v2

PHYS-1600/2000 I6 Curved Path Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 145

3 of 3

Which of the following are true about the kinematic vectors of a body moving along a curved path of motion?

1. Both the velocity and the acceleration point in the direction of motion.2. The velocity points in the direction of motion but the acceleration does not.3. The acceleration points in the direction of motion but the velocity does not.4. Neither the velocity nor the acceleration point in the direction of motion.

PHYS-1600/2000 I6 Curved Path Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 146

ITEM DURATION START

Introductory Concept Survey (Individual) 0:10 0:00

Relationship between Position and Velocity 0:30 0:10

Relationship between Velocity and Acceleration 0:30 0:40

Maze Game 0:20 1:10

Survey Re-vote (Group Discussion Mode) 0:10 1:30

Dismissal 1:40

AGENDA

ANNOUNCEMENTS

• Handed-in HW now available.• Check MP solutions on schedule page.

PHYS-1600/2000 I6 Curved Path Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 147

PHYS-1600/2000 I6 Curved Path Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 148

PHYS-1600/2000 I6 Curved Path Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 149

PHYS-1600/2000 I6 Curved Path Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 1410Etc.

PHYS-1600/2000 I6 Curved Path Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 1411

1 of 3

A bumblebee is flying along the path of motion shown. Which of the vectors shown best represents the displacement of the bumblebee over the time t1 to time t2?

x

r1

y

r2

2 31

4

PHYS-1600/2000 I6 Curved Path Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 1412

2 of 3

A bumblebee is flying along the path of motion shown. Which of the vectors shown best represents the average acceleration of the bumblebee over the time t1 to time t2?

x

v1y

2 31

4

v2

PHYS-1600/2000 I6 Curved Path Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 1413

3 of 3

Which of the following are true about the kinematic vectors of a body moving along a curved path of motion?

1. Both the velocity and the acceleration point in the direction of motion.2. The velocity points in the direction of motion but the acceleration does not.3. The acceleration points in the direction of motion but the velocity does not.4. Neither the velocity nor the acceleration point in the direction of motion.

PHYS-1600/2000 I6 Curved Path Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 1414

1 4 1 4 1 4 1 4

2 5 2 5 2 5 2 5

3 3 3 3

PROJECTION SCREEN

HAND IN TODAY’S ACTIVITY SHEETS

6 6 6 6