3. Mechanics

Impulse Momentum — Quiz

Test your understanding of impulse momentum with 5 practice questions.

Practice Questions

Question 1

In the derivation of the impulse–momentum theorem for a variable force acting on a particle of constant mass m, which fundamental law is directly applied to relate impulse to change in momentum?

Question 2

A particle of mass 2 kg at rest is subjected to a time-varying force $F(t)=5t^2\,$N for $0\le t\le3\,$s. What is its speed at $t=3\,$s?

Question 3

A 3 kg particle moves with initial velocity $\mathbf v_i=(2\mathbf i-1\mathbf j)\,$m/s. It receives an impulse $\mathbf J=(6\mathbf i+9\mathbf j)\,$N·s. What is its final velocity $\mathbf v_f$?

Question 4

In a one-dimensional elastic collision between masses $m_1$ and $m_2$, with $m_1$ initially moving at speed $v$ and $m_2$ at rest, what is the final velocity $v_1'$ of $m_1$?

Question 5

Two masses $m_1=4\,$kg moving at $6\,$m/s and $m_2=2\,$kg at rest collide perfectly inelastically. What fraction of the initial kinetic energy is lost?