Exam 9: Linear Momentum and Collisions

A pitcher claims he can throw a baseball with as much momentum as a 3.00-g bullet moving with a speed of 1500 m/s.A baseball has a mass of 0.145 kg.What must be its speed if the pitcher's claim is valid?

A rocket moving in outer space maintains a constant acceleration (magnitude = 20 m/s²)while ejecting fuel at a speed of 15 km/s relative to the rocket.If the initial mass of the rocket is 3 000 kg,what is the magnitude of the thrust after 800 kg of fuel have been consumed?

Exhibit 9-1 Two birds of prey hurtling after the same mouse collide in mid-air and grab each other with their talons.Each 250-g bird is flying at 30 m/s at a 60° angle to the ground. Use this exhibit to answer the following question(s). -Refer to Exhibit 9-1.What is the magnitude of their velocity,in m/s,immediately after the collision?

When the rate of burn and the exhaust velocity are constant,a rocket ascends with

A 4.0-kg mass has a velocity of 4.0 m/s,east when it explodes into two 2.0-kg masses.After the explosion one of the masses has a velocity of 3.0 m/s at an angle of 60° north of east.What is the magnitude of the velocity of the other mass after the explosion?

Two bodies with masses m₁ and m₂ are both moving east with velocities of magnitudes v₁ and v₂,where v₁ is less than v₂.The magnitude of the velocity of the center of mass of this system of two bodies is

A 4.0-kg mass,initially at rest on a horizontal frictionless surface,is struck by a 2.0-kg mass moving along the x axis with a speed of 8.0 m/s.After the collision,the 2.0-kg mass has a speed of 4.0 m/s at an angle of 37° from the positive x axis.What is the speed of the 4.0-kg mass after the collision?

A 1.0-kg ball is attached to the end of a 2.5-m string to form a pendulum.This pendulum is released from rest with the string horizontal.At the lowest point in its swing when it is moving horizontally,the ball collides elastically with a 2.0-kg block initially at rest on a horizontal frictionless surface.What is the speed of the block just after the collision?

Assume that the average mass of each of the approximately 1 billion people in China is 55 kg.Assume that they all gather in one place and climb to the top of 2 m high ladders.The center of mass of the Earth (m_E = 5.90 10²⁴ kg)is then displaced