AP Physics C: Mechanics Unit 4: Linear Momentum

A constant force $F=8$ N acts on a 2 kg object for 3 s. What is the change in velocity?

A 2 kg ball moving at $5$ m/s to the right collides elastically with a 2 kg ball at rest. What are their velocities after the collision?

A 3 kg object moving at $8$ m/s to the right undergoes a perfectly inelastic collision with a 5 kg object moving at $4$ m/s to the left. Find their common velocity after the collision.

A 0.1 kg bullet traveling at $400$ m/s embeds in a 4.9 kg stationary block on a frictionless surface. A spring ($k=1000$ N/m) is in front of the block. What is the maximum spring compression?

A 1 kg ball moving at $6$ m/s to the right undergoes a perfectly inelastic collision with a stationary 2 kg ball. What is their combined velocity after the collision?

Two particles with masses $m_1=4$ kg at $x=0$ and $m_2=2$ kg at $x=6$ m. Where is the center of mass?

In a one-dimensional elastic collision between mass $m_1$ (initial speed $v_0$) and stationary mass $m_2$, the final velocities are $v_1^{\prime }=\frac{m_1-m_2}{m_1+m_2}{v}_0$ and $v_2^{\prime }=\frac{2m_1}{m_1+m_2}{v}_0$. Verify these satisfy energy conservation symbolically.

Using the integral form of the impulse–momentum theorem, a force $F(t)=F_0{e}^{-t/\tau }$ acts on mass $m$ from $t=0$ to $t=\infty$ starting from rest. Find $v(\infty )$.

Three particles have masses and positions: $m_1=2$ kg at $x_1=0$ m, $m_2=3$ kg at $x_2=4$ m, and $m_3=1$ kg at $x_3=6$ m. Find the center of mass.

A 0.5 kg ball moving at $4$ m/s collides with a wall and bounces back at $4$ m/s. What is the magnitude of the impulse on the ball?

The impulse–momentum theorem in integral form states ${\int }_{t_1}^{t_2}F(t)dt=\Delta p$. A force $F(t)=6t^2$ N acts on a 2 kg object from $t=0$ to $t=2$ s starting from rest. Find the final speed.

Two ice skaters (60 kg and 40 kg) push off each other from rest. If the 40 kg skater moves at $3$ m/s to the right, what is the velocity of the 60 kg skater?