Inelastic collisions


A pickup truck with mass 2.0×103 kg2.0 \times 10^3\text{ kg} is traveling eastbound at +24 m/s,+24\text{ m/s}, while a compact car with mass 1.0×103 kg1.0 \times 10^3\text{ kg} is traveling westbound at 24 m/s-24\text{ m/s} on the same road. The truck and car collide and thereafter move as a single, tangled mass. Find the change in the kinetic energy of the system consisting of both vehicles.

A 20 g20\text{ g} bullet shot vertically upward with constant speed 2000 m/s2000\text{ m/s} passes through the center of gravity of a 5.0 kg5.0\text{ kg} block at rest, as shown in the above diagram. The bullet moves at 400 m/s400\text{ m/s} right after it passes through the block. How high would the block move from its initial position?

Take the acceleration of gravity as 10 m/s2.10\text{ m/s}^2.
Assume that the effect on the bullet by gravity is negligible.

A bullet with mass 13.0 g13.0\text{ g} and speed 434 m/s434\text{ m/s} hits a wooden block of mass 390.0 g390.0\text{ g} on a frictionless table. This bullet comes to a complete stop inside the wooden block. What is the approximate speed of the wooden block and bullet after the bullet stops inside the block?

Assume that the mass loss of the block by the bullet is negligible.

A bullet with mass 4.40 g4.40\text{ g} and speed 773 m/s773\text{ m/s} flying horizontally hits a wooden block of mass of 520 g520\text{ g} on a frictionless table. Now the bullet passes through the wooden block with a reduced speed of 513 m/s.513\text{ m/s}. What is the speed of the wooden block after the bullet completely passes through it?

Assume that mass loss of the block from the bullet is negligible.

In the above figure, two objects AA and BB with the same mass mm are 1515 m away from each other. Now, AA and BB are thrown horizontally at the same time at the velocities 2020 m/s and 10 -10 m/s, respectively, eventually colliding with each other in the air. If the two objects stick together after a perfectly inelastic collision, what is the speed of the mass at the moment of collision (in m/s)?

Assume that gravitational acceleration is g=10g= 10 m/s2^{2}.


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