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# Impulse with Constant Velocity

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An 79.1 kg astronaut is working on the engines of his ship, which is drifting through space with a constant velocity. The astronaut, wishing to get a better view of the Universe, pushes against the ship and much later finds himself 30.4 m behind the ship. Without a thruster, the only way to return to the ship is to throw his 0.505 kg wrench directly away from the ship. If he throws the wrench with a speed of 20.5 m/s relative to the ship, how long does it take the astronaut to reach the ship?

https://brainmass.com/physics/classical-mechanics/55480

#### Solution Summary

This solution uses the concepts of momentum to determine the time taken for the astronaut to reach the ship. All equations and workings shown for further understanding.

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## Impulse and Momentum

QUESTION#1

A 1.0-kg ball has a velocity of 12 m/s downward just before it strikes the ground and bounces up with a velocity of 12m/s upward.

What is the change in momentum of the ball?

Question#2

A 0.1-kg steel ball is dropped straight down onto a hard horizontal floor and bounces straight up. Its speed just before "and just after " with the floor is 10m/s.

Determine the magnitude of impulse delivered to the floor by the steel ball.

Question #3
A 0.50kg-bomb is sliding along an icy pond (frictionless surface) with a velocity of 2.0 m/s to the west. The bomb explodes into two pieces. After the explosion, a 0.20-kg piece moves south at 4 m/s.

What are the components of the velocity of the 0.30-kg piece?

Question #4
Two cars of equal mass collide on a horizontal frictionless surface. Before the collision, Car A is at rest while Car B has a constant velocity of 12m/s. After the collision, the two bodies are stuck together

What is the speed of the composite body (A+B) after the collision?

Question #5

The head of a hammer (m=1.5kg) moving at 4.5 m/s strikes a nail and bounces back with the same speed after an elastic collision lasting 0.075 s.

What is the magnitude of the average force the hammer exerts on the nail?

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