# Impulse with Constant Velocity

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?

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#### 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.

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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