If In an elastic collision, a $1.0 \mathrm{~kg}$ ball moving at $1.0 \mathrm{~m} / \mathrm{s}$ collides with a $2.0 \mathrm{~kg}$ ball moving at $-2.0 \mathrm{~m} / \mathrm{s}$. The $2.0 \mathrm{~kg}$ ball transfers all of its momenta to the $1.0 \mathrm{~kg}$ ball.
a. What velocity does the $1.0 \mathrm{~kg}$ ball have after the collision?
b. What is the initial kinetic energy of the system?
c. What is the final kinetic energy of the system?

Determine the starting disk diameter required to spin the part in the mentioned Figure using a conventional spinning operation. The starting thickness $=2.4 \mathrm{~mm}$.

A stationary $165 \mathrm{~kg}$ football player is tackled by a $178 \mathrm{~kg}$ player running at $8 \mathrm{~m} / \mathrm{s}$
a. How fast are they moving after the collision?
b. What is the impulse imparted on the stationary player?
c. What is the impulse imparted on the moving player?

A $2,000 \mathrm{~kg}$ car moving at $10 \mathrm{~m} / \mathrm{s}$ collides head-on with a $2,500 \mathrm{~kg}$ car moving in the opposite direction at $15 \mathrm{~m} / \mathrm{s}$. The two cars are locked together after impact.
a. Is this an elastic or an inelastic collision? Why?
b. What is the speed of the cars after impact?
c. Calculate the kinetic energies of the cars, both before and after impact.
d. What fraction of the kinetic energy was lost during the impact? Where did the energy go?

A $10,000 \mathrm{~kg}$ railroad car traveling north at $10 \mathrm{~m} / \mathrm{s}$ collides with a $5,000 \mathrm{~kg}$ rail car also moving north but at an unknown speed. After the collision, the two cars lock together and move north at $8 \mathrm{~m} / \mathrm{s}$. How fast was the second car moving before the impact?

A car of mass 2000 kg moving with a speed of 20.0 m/s collides and locks together with a 1500-kg car at rest at a stop sign. Show that momentum is conserved in a reference frame moving at 10.0 m/s in the direction of the moving car.

If A $2.0 \mathrm{~kg}$ puck is moving east at $5.5 \mathrm{~m} / \mathrm{s}$. It catches up to and collides with a second identical puck moving due east at $3.0 \mathrm{~m} / \mathrm{s}$. The collision is perfectly inelastic.

a. What is the resulting velocity of the pucks?
b. What is the initial kinetic energy $E_{k i}$ of the system?
c. What is the change in kinetic energy, $\Delta E_k$, of the system as a result of the collision?
d. If the mass $m$ is doubled, but the initial velocities are unchanged, does the resulting velocity increase, decrease, or remain unchanged?

A 46-kg skater is standing still in front of a wall. By pushing against the wall she propels herself backward with a velocity of - 1.2 m/s. Her hands are in contact with the wall for 0.80 s. Ignore friction and wind resistance. Find the magnitude and direction of the average force she exerts on the wall (which has the same magnitude, but opposite direction, as the force that the wall applies to her).

A volleyball is spiked so that its incoming velocity of +4. 0 m/s is changed to an outgoing velocity of -21 m/s. The mass of the volleyball is 0.35 kg. What impulse does the player apply to the ball?

Calculate the recoil (backward momentum) and velocity of a $4.0 \mathrm{~kg}$ rifle that fires a $20 \mathrm{~g}$ bullet that travels $1.0 \mathrm{~m}$ in $2.15 \times 10^{-3} \mathrm{~s}$.

A golfer, driving a golf ball off the tee, gives the ball a velocity of + 38 m/s. The mass of the ball is 0.045 kg, and the duration of the impact with the golf club is

$$3.0 \times 10 ^ { - 3 } \mathrm { s }$$

Determine the average force applied to the ball by the club.

A golfer, driving a golf ball off the tee, gives the ball a velocity of + 38 m/s. The mass of the ball is 0.045 kg, and the duration of the impact with the golf club is

$$3.0 \times 10 ^ { - 3 } \mathrm { s }$$

What is the change in momentum of the ball?

A $3,000 \mathrm{~kg}$ truck is traveling $28 \mathrm{~m} / \mathrm{s}$ through a rainstorm. At the end of its journey, it has collected $500 \mathrm{~kg}$ of water and is now moving $24 \mathrm{~m} / \mathrm{s}$. Was momentum conserved?

Consider two bowling balls, each with a mass of $4.0 \mathrm{~kg}$. The red ball is moving east at $2.0 \mathrm{~m} / \mathrm{s}$. The blue ball is moving west at $1.0 \mathrm{~m} / \mathrm{s}$. Calculate the total momentum of the system.