newton’s second law can be expressed with an equation: which can be re-arranged to isolate force...

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Page 1: Newton’s Second Law can be expressed with an equation:  Which can be re-arranged to isolate Force like this:
Page 2: Newton’s Second Law can be expressed with an equation:  Which can be re-arranged to isolate Force like this:

Newton’s Second Law can be expressed with an equation:

Which can be re-arranged to isolate Force like this:

Page 3: Newton’s Second Law can be expressed with an equation:  Which can be re-arranged to isolate Force like this:

Force is measured in Newtons

A Newton = the amount of force needed to accelerate a 1 kilogram mass at a rate of 1 m/s2

Since F = m.a

1 N = 1 kg.m/s2

Page 4: Newton’s Second Law can be expressed with an equation:  Which can be re-arranged to isolate Force like this:

1. Describe the motion of the object this graph depicts

2. Using F = ma, calculate the mass of the object

Page 5: Newton’s Second Law can be expressed with an equation:  Which can be re-arranged to isolate Force like this:

1. Describe the motion of the object this graph depicts

the object is accelerating

2. Using F = ma, calculate the mass of the object

using rise/run:

3N-1N/3m/s2 – 1m/s2 = 1 kg

Page 6: Newton’s Second Law can be expressed with an equation:  Which can be re-arranged to isolate Force like this:

If there is acceleration (speed up, slow down, change direction), there is an unbalanced force.

remember: another name for unbalanced force is net force

Page 7: Newton’s Second Law can be expressed with an equation:  Which can be re-arranged to isolate Force like this:

Look at the relationship between force, mass, and acceleration in this equation:

To keep the same acceleration, what must force do if mass is increased? force must increase just as much

Page 8: Newton’s Second Law can be expressed with an equation:  Which can be re-arranged to isolate Force like this:

To be more specific: If acceleration stays constant and the mass of the object doubles, what must the force be doing?

doubling

Page 9: Newton’s Second Law can be expressed with an equation:  Which can be re-arranged to isolate Force like this:

We already know that the formula for the second law of motion is F = ma

We can use this formula to calculate the force of weight

Weight = mass x accelerationgravity

Page 10: Newton’s Second Law can be expressed with an equation:  Which can be re-arranged to isolate Force like this:

It’s really, really important to remember:

a net force results in acceleration

BUT

no net force does not mean no motion – an object will move at a constant speed in a straight line with no net force!!!

Page 11: Newton’s Second Law can be expressed with an equation:  Which can be re-arranged to isolate Force like this:

The force required to accelerate a 2 kg mass at 4 m/s2 is

(a) 6N (b) 2N (c) 8N (d) 16N

Answer The correct answer is 8N because F = ma and so F = (2 kg)(4 m/s2)

Page 12: Newton’s Second Law can be expressed with an equation:  Which can be re-arranged to isolate Force like this:

What force will be needed to accelerate a 8kg mass at the same acceleration as a 4kg mass? (a) the amount of force does not change (b) the force needs to be 4x’s as much (c) the force should double (d) it will take half as much force

Answer The correct answer is “the force should double”

because the mass doubled while acceleration was held constant.

Page 13: Newton’s Second Law can be expressed with an equation:  Which can be re-arranged to isolate Force like this:

A cart has a constant acceleration from rest. The force on the cart must be (a) decreasing (b) zero (c) constant (d) increasing

Answer The correct answer is “constant” because a

constant net force creates a constant acceleration.