Question 1

Which of the following best describes the physical meaning of the area under a Force vs. Time ($$F vs$$. $$t) $$graph?

Accepted Answer

It represents the impulse delivered to the object.

Question 2

A 2 kg toy car starts from rest and is subjected to a force that varies with time, as shown in a $$F vs$$. $$t$$ graph. If the total impulse delivered is $$8\ \mathrm{N \cdot s}$$, what is the final speed of the car?

Accepted Answer

$$4\ \mathrm{m/s}$$

Question 3

Given the equation $$J = F \Delta t$$, which of the following scenarios would result in the largest impulse?

Accepted Answer

A large force applied over a long time.

Question 4

A baseball bat delivers a force to a 0.2 kg baseball initially at rest. If the impulse delivered is $$10\ \mathrm{N \cdot s}$$, what is the final speed of the baseball?

Accepted Answer

$$50\ \mathrm{m/s}$$

Question 5

If the area under a $$F vs$$. $$t$$ graph is negative, what does this indicate about the impulse?

Accepted Answer

The impulse is negative.

Question 6

A force acts on an object for $$0.5\ \mathrm{s}$$, increasing linearly from $$0 to$$ $$F_{max}. If $$the impulse delivered is $$6\ \mathrm{N \cdot s}$$, what is $$F_{max}$$?

Accepted Answer

$$12\ \mathrm{N}$$

Question 7

Which equation correctly relates impulse to the change in momentum?

Accepted Answer

$$J = m v_f - m v_0$

Question 8

A force of $$10\ \mathrm{N}$$ acts on a $$1\ \mathrm{kg}$$ object for $$0.2\ \mathrm{s}. $$What is the change in velocity of the object?

Accepted Answer

$$2\ \mathrm{m/s}$$

Question 9

Which of the following statements is true regarding the relationship between force, time, and impulse?

Accepted Answer

Impulse is the product of force and the time interval over which it acts.

Question 10

A force acts on an object in the negative direction for $$0.5\ \mathrm{s}$$, resulting in an impulse of $$-4\ \mathrm{N \cdot s}. If $$the object has a mass of $$2\ \mathrm{kg}$$ and was initially moving at $$3\ \mathrm{m/s}$$, what is its final velocity?

Accepted Answer

$$1\ \mathrm{m/s}$$

Question 11

Which of the following best explains why a baseball bat delivers a large impulse in a short time?

Accepted Answer

The bat applies a large force over a short time.

Question 12

If the area under a $$F vs$$. $$t$$ graph is $$0$$, what can be said about the change in momentum of the object?

Accepted Answer

The object's momentum does not change.

Question 13

A force acts on a $$0.5\ \mathrm{kg}$$ object, causing its velocity to change from $$2\ \mathrm{m/s} to$$ $$6\ \mathrm{m/s}. $$What is the impulse delivered to the object?

Accepted Answer

$$4\ \mathrm{N \cdot s}$$

Question 14

Which of the following is the correct formula for the area of a triangle used to calculate impulse from a $$F vs$$. $$t$$ graph?

Accepted Answer

$$A = \frac{1}{2} b \cdot h$$

Question 15

A force acts on an object for $$2\ \mathrm{s}$$, and the $$F vs$$. $$t$$ graph forms a rectangle with height $$3\ \mathrm{N}. $$What is the impulse delivered?

Accepted Answer

$$6\ \mathrm{N \cdot s}$$

Impulse and Momentum: Calculating Impulse from Force vs. Time Graphs

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