11. Momentum & Impulse

Why is $p$ (momentum) considered a vector quantity in physics?

If two particles have equal momenta, which of the following statements must be true? ($p=mv$)

In a two-block system, two blocks collide and stick together. If the initial kinetic energy is $K_{\mathrm{initial}}$ and the final kinetic energy is $K_{\mathrm{final}}$, what is the change in kinetic energy $\Delta K=K_{\mathrm{final}}-K_{\mathrm{initial}}$ due to the collision?

Five cars are moving along a straight road. Car 1 has a mass of $1000$ kg and a velocity of $20$ m/s to the right. Car 2 has a mass of $2000$ kg and a velocity of $10$ m/s to the right. Car 3 has a mass of $1000$ kg and a velocity of $-20$ m/s to the left. Car 4 has a mass of $1500$ kg and a velocity of $15$ m/s to the right. Car 5 has a mass of $2000$ kg and a velocity of $-10$ m/s to the left. Which pairs of cars have the same magnitude of momentum?

Which of the following statements is true regarding momentum for moving objects?

Which of the following formulas correctly shows the relationship between momentum, mass, and velocity?

Which of the following objects has the least $p$ (momentum)?

Two bowling balls of different masses are rolling on a smooth surface. Which of the following best explains how they can have the same $p$ (momentum)?

In physics, is $\mathrm{momentum}$ considered a $\mathrm{vector}$ or a $\mathrm{scalar}$ quantity?

Four balls are rolling on a flat surface. Ball A has a mass of $2$ kg and a velocity of $3$ m/s, Ball B has a mass of $3$ kg and a velocity of $2$ m/s, Ball C has a mass of $1$ kg and a velocity of $6$ m/s, and Ball D has a mass of $4$ kg and a velocity of $1$ m/s. Which ball has the greatest momentum?

For a system at rest that explodes into two pieces, if piece a has mass $m_a$ and moves with velocity $v_a$ immediately after the explosion, what is the magnitude of the momentum $\left|p_a\right|$ of piece a before the explosion?