Exam 8: Systems of Particles and Conservation of Linear Momentum

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A bullet with a mass of 20 g and a speed of 960 m/s strikes a block of wood of mass 4.5 kg resting on a horizontal surface. The bullet gets embedded in the block. The speed of the block immediately after the collision

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A bullet is fired at 100 m/s horizontally into a 2-kg block suspended by a light string of length 1.2 m. If the block and bullet system swing up by 20 degrees to the vertical, the mass of the bullet is given by:

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The force exerted on a 10-kg mass is given by F = 10 + 2t Where the units are SI. If the mass starts from rest, its velocity after 2 s is

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A 40-kg girl, standing at rest on the ice, gives a 60-kg boy, who is also standing at rest on the ice, a shove. After the shove, the boy is moving backward at 2.0 m/s. Ignore friction. The girl's speed is

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Two balls are dropped from a height of 6 m. Ball A bounces up to a height of 4 m whereas ball B bounces up to 2 m. Which ball experiences the larger impulse during its collision with the floor?

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A boy and girl on ice skates face each other. The girl has a mass of 20 kg and the boy has a mass of 30 kg. The boy pushes the girl backward at a speed of 3.0 m/s. As a result of the push, the speed of the boy is

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Use the scenario below for the next question. You were traveling north at speed vc in your car of mass mc = 2000 kg through an intersection when you were struck by a light truck of mass mt = 4000 kg traveling West. After the collision the two vehicles are stuck together and travel a distance of 20 m in the direction 30 \circ N of W. -What is the truck speed in terms of vc?

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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 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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A particle of unknown mass has a momentum of 73 kg · m/s. At a time 7.3 s later, the momentum of the particle is 38 kg · m/s. What is the magnitude of the force acting on the particle during the interval, assuming the motion is in a straight line?

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  The figure shows a ballistic pendulum in three states. The system (considered to be the ball and the pendulum) will move in such a way that The figure shows a ballistic pendulum in three states. The system (considered to be the ball and the pendulum) will move in such a way that

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In an elastic collision of two objects,

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  Two identical bodies of mass M move with equal speeds v. The direction of their velocities is illustrated above. The magnitude of the linear momentum of the system is Two identical bodies of mass M move with equal speeds v. The direction of their velocities is illustrated above. The magnitude of the linear momentum of the system is

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  A ball of mass m and velocity   <sub>1</sub> collides with and sticks to a ball of mass M and velocity   <sub>2</sub>. If the pair moves on with velocity   , the impulse given the ball of mass m during the collision must have been A ball of mass m and velocity   A ball of mass m and velocity   <sub>1</sub> collides with and sticks to a ball of mass M and velocity   <sub>2</sub>. If the pair moves on with velocity   , the impulse given the ball of mass m during the collision must have been 1 collides with and sticks to a ball of mass M and velocity   A ball of mass m and velocity   <sub>1</sub> collides with and sticks to a ball of mass M and velocity   <sub>2</sub>. If the pair moves on with velocity   , the impulse given the ball of mass m during the collision must have been 2. If the pair moves on with velocity   A ball of mass m and velocity   <sub>1</sub> collides with and sticks to a ball of mass M and velocity   <sub>2</sub>. If the pair moves on with velocity   , the impulse given the ball of mass m during the collision must have been , the impulse given the ball of mass m during the collision must have been

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The SI units of momentum are

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For a system consisting of two particles that undergo an elastic collision,

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In a coordinate system whose center of mass moves with a velocity In a coordinate system whose center of mass moves with a velocity   <sub>c</sub> , the total momentum in the center-of-mass coordinate system after collision of the two masses m<sub>1</sub> and m<sub>2</sub> is c , the total momentum in the center-of-mass coordinate system after collision of the two masses m1 and m2 is

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Use the scenario below for the next question. You were traveling north at speed vc in your car of mass mc = 2000 kg through an intersection when you were struck by a light truck of mass mt = 4000 kg traveling West. After the collision the two vehicles are stuck together and travel a distance of 20 m in the direction 30 \circ N of W. -If your speed is 72 km/h, what is the work done by friction in bringing the two vehicles to rest after the collision?

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Calculate the impulse by the force, as shown in the figure below. Calculate the impulse by the force, as shown in the figure below.

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A Saturn V rocket with an initial mass m0 of 3 ×\times 106 kg has a payload that accounts for 27% of this mass, a burn rate of 15 ×\times 103 kg/s, and a thrust Fth of 35 ×\times 106 N. The burn time tb is

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