Exam 8: Systems of Particles and Conservation of Linear Momentum

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Two equal masses travel in opposite directions with equal speed.If they collide in a perfectly elastic collision,then,just after the collision,their velocities will be

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A car having a total mass of 2250 kg and traveling at 72 km/h smashes into a tree.The car is stopped in 0.25 s.The driver of the car is not held in place by a seat belt or any other restraining device.Just after the impact but before the driver hits any part of the car,the acceleration of the driver is

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A man in a spacecraft that is moving with a velocity V0 in free space runs forward and then stops.The center of mass of the system (that is,the ship and the man)

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A superball of mass m is dropped vertically from a height,h.If the impact time with the floor is Δ\Delta t,what is the average force on the ball? (Assume that the superball bounces back to the same height.)

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Two bodies A and B move toward each other with speeds of 80 cm/s and 20 cm/s,respectively.The mass of A is 140 g and that of B is 60 g.After a head-on,perfectly elastic collision,the speed of B is

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You shoot an arrow with a mass of 0.54 kg at 45º above the horizontal.The bow exerts a force of 125 N for 0.65 s.With no air resistance,the maximum height the arrow reaches is

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A bullet of mass m and velocity A bullet of mass m and velocity   strikes and becomes imbedded in a wooden block of mass M,which is initially at rest on a frictionless surface.The ratio of the velocity of the system after collision to the initial velocity of the bullet is strikes and becomes imbedded in a wooden block of mass M,which is initially at rest on a frictionless surface.The ratio of the velocity of the system after collision to the initial velocity of the bullet is

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While in horizontal flight at a speed of 20 m/s,a baseball of mass 0.11 kg is struck by a bat.After leaving the bat,the baseball has a speed of 29 m/s in a direction opposite to its original direction.The magnitude of the impulse given the ball is

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Consider an inelastic collision between balls of mass m1 and m2.The velocities before the collision are Consider an inelastic collision between balls of mass m<sub>1</sub> and m<sub>2</sub>.The velocities before the collision are   <sub>1</sub> and   <sub>2</sub>,respectively,and the velocities after the collision are   <sub>1</sub> and   <sub>2</sub>,respectively.Which of the following statements concerning this collision is true? 1 and Consider an inelastic collision between balls of mass m<sub>1</sub> and m<sub>2</sub>.The velocities before the collision are   <sub>1</sub> and   <sub>2</sub>,respectively,and the velocities after the collision are   <sub>1</sub> and   <sub>2</sub>,respectively.Which of the following statements concerning this collision is true? 2,respectively,and the velocities after the collision are Consider an inelastic collision between balls of mass m<sub>1</sub> and m<sub>2</sub>.The velocities before the collision are   <sub>1</sub> and   <sub>2</sub>,respectively,and the velocities after the collision are   <sub>1</sub> and   <sub>2</sub>,respectively.Which of the following statements concerning this collision is true? 1 and Consider an inelastic collision between balls of mass m<sub>1</sub> and m<sub>2</sub>.The velocities before the collision are   <sub>1</sub> and   <sub>2</sub>,respectively,and the velocities after the collision are   <sub>1</sub> and   <sub>2</sub>,respectively.Which of the following statements concerning this collision is true? 2,respectively.Which of the following statements concerning this collision is true?

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A block that has a mass M = 4.25 kg is hanging at rest on a light string.A projectile with a mass m = 250 g moving horizontally strikes M and sticks to it.The block and its projectile swing up and the center of mass rises a distance h = 12.0 cm.The speed of the projectile is approximately

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In an elastic collision of two objects,

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If you take the derivative of the kinetic energy of a particle with respect to its velocity,you get

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