4. Momentum and Collisions

Impulse And Variable Forces — Quiz

Test your understanding of impulse and variable forces with 5 practice questions.

Practice Questions

Question 1

A variable force is described by the function $F(t) = (3t^2 - 2t) \text{ N}$. What is the impulse delivered to an object if this force acts from $t = 0 \text{ s}$ to $t = 2 \text{ s}$?

Question 2

An object of mass $4 \text{ kg}$ is initially moving at $3 \text{ m/s}$. A variable force acts on it, delivering an impulse of $20 \text{ N} \cdot \text{s}$ in the direction opposite to its initial motion. What is the final velocity of the object?

Question 3

A force-time graph for a collision shows a quarter-circular pulse in the first quadrant, with a maximum force of $F_{max}$ and a total duration of $\Delta t$. Which of the following expressions represents the impulse delivered?

Question 4

During a collision, an object experiences a variable force. If the collision time is halved while the change in momentum remains constant, what happens to the average force exerted on the object?

Question 5

A force acting on an object is given by $F(t) = (5t^2 + 3) \text{ N}$. If the force acts from $t = 0 \text{ s}$ to $t = 1 \text{ s}$ what is the impulse delivered to the object?