Exam 7: Momentum, Collisions, and the Center of Mass

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A particle of mass m moving at 5.0 m/s in the positive x direction makes a glancing elastic collision with a particle of mass 2m that is at rest before the collision. After the collision, m moves off at an angle of 45o to the x axis and 2m moves off at 60o to the x axis. The speed of m after the collision is

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Two particles, each of mass m, are moving with velocity Two particles, each of mass m, are moving with velocity   and   The kinetic energy at the center of mass is and Two particles, each of mass m, are moving with velocity   and   The kinetic energy at the center of mass is The kinetic energy at the center of mass is

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A ball of mass m strikes a wall that is perpendicular to its path at speed +v and rebounds in the opposite direction with a speed -v. The impulse imparted to the ball by the wall is

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In a center-of-mass reference frame for a system with no external forces applied to it,

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Two identical air-hockey pucks are moving on an air-hockey track with an x-y axis drawn upon it. Puck A has a velocity of 5 m/s at an angle of 35 degrees above the x-axis. Puck B has a velocity of 6 m/s at an angle of 70 degrees above the horizontal. Which puck has a larger momentum in the x-direction?

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  Two objects, one of mass m<sub>1</sub> = 2 kg and the second of unknown mass, are connected by a compressed spring with negligible mass. The system is at rest on a frictionless table. Both objects are released simultaneously, and m<sub>1</sub> is observed to recoil with velocity v<sub>1</sub> =   2 m/s   , and m<sub>2</sub> shots forward with velocity v<sub>2</sub> = 4 m/s   . What is the mass of m<sub>2</sub>? Two objects, one of mass m1 = 2 kg and the second of unknown mass, are connected by a compressed spring with negligible mass. The system is at rest on a frictionless table. Both objects are released simultaneously, and m1 is observed to recoil with velocity v1 =   Two objects, one of mass m<sub>1</sub> = 2 kg and the second of unknown mass, are connected by a compressed spring with negligible mass. The system is at rest on a frictionless table. Both objects are released simultaneously, and m<sub>1</sub> is observed to recoil with velocity v<sub>1</sub> =   2 m/s   , and m<sub>2</sub> shots forward with velocity v<sub>2</sub> = 4 m/s   . What is the mass of m<sub>2</sub>? 2 m/s   Two objects, one of mass m<sub>1</sub> = 2 kg and the second of unknown mass, are connected by a compressed spring with negligible mass. The system is at rest on a frictionless table. Both objects are released simultaneously, and m<sub>1</sub> is observed to recoil with velocity v<sub>1</sub> =   2 m/s   , and m<sub>2</sub> shots forward with velocity v<sub>2</sub> = 4 m/s   . What is the mass of m<sub>2</sub>? , and m2 shots forward with velocity v2 = 4 m/s   Two objects, one of mass m<sub>1</sub> = 2 kg and the second of unknown mass, are connected by a compressed spring with negligible mass. The system is at rest on a frictionless table. Both objects are released simultaneously, and m<sub>1</sub> is observed to recoil with velocity v<sub>1</sub> =   2 m/s   , and m<sub>2</sub> shots forward with velocity v<sub>2</sub> = 4 m/s   . What is the mass of m<sub>2</sub>? . What is the mass of m2?

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An object of mass M1 is moving with a speed v on a straight, level, frictionless track when it collides with another mass, M2, that is at rest on the track. After the collision, M1 and M2 stick together and move with a speed of

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A car having a total mass of 2250 kg and traveling at 72.0 km/h smashes into a tree. The car is stopped in 0.250 s. The average force acting on the car during the collision is

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A superball of mass m is dropped vertically from a height, h. If the impact time with the floor is Δt, what is the average force on the ball? Assume that the superball bounces back to the same height it started at.)

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Two balls of equal mass are thrown with equal velocities against a massive wall. The first rebounds with a speed equal to its striking speed, and the second sticks to the wall. The impulse that the first ball transmits to the wall, relative to the second, is

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A 7000-kg coal car of a train coasts at 7.0 m/s on a frictionless track when a 3000-kg load of coal is dropped vertically onto the car. The coal car's speed after the coal is added is

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What is the truck speed in terms of vc?

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A golf ball and a Ping-Pong ball are dropped in a vacuum chamber. When they have fallen halfway to the floor, they have the same

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A pitcher throws a baseball with a velocity of 27 m/s. After being struck by a bat the ball travels in the opposite direction with a velocity of 40 m/s. If the ball has a mass of 0.11 kg and is in contact with the bat for 3.0 ms, the average force exerted by the bat on 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 5.0-kg ball and a 10.0-kg ball approach each other with equal speeds of 20 m/s. If they collide perfectly inelastically, the speed of the balls just after the collision is approximately

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For brief collisions between objects with no external forces applied to them,

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A helium atom mass = 4m) moving with speed V collides elastically with a tritium hydrogen 3) atom mass = 3m) at rest. Calculate the speed of the tritium atom after the collision.

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Two billiard balls are traveling to the right with speeds v1 = +0.5 m/s and v2 = +0.3 m/s. If m1 = 2.5m2, calculate the velocity of m1 after it catches up to and impacts m2. The speed of m2 after the collision is +0.55 m/s.

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A particle of mass 2m is moving to the right in projectile motion. At the top of its trajectory, an explosion breaks the particle into two equal parts. After the explosion, one part falls straight down with no horizontal motion. What is the direction of the velocity of the other part in the instant after the explosion?

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