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Tutorial 3 Dateline (17 Mei 2015) Linear Momentum 1. A volleyball is spiked so that its coming velocity of +4.0 m/s is changed to an outgoing velocity of -21 m/s. The mass of the volleyball is 0.35 kg. What impulse does the player apply to the ball? 2. A 8.00 kg ball, moving to the right at a velocity of +2.00 m/s on a frictionless table, collides head-on with a stationary 10,5-kg ball. Find the final velocities of the balls if the collision is a. Elastic and b. Completely inelastic. 3. A car (mass = 1100 kg) is traveling at 32 m/s when it collides head-on with a sport utility vehicle (mass = 2500 kg) traveling in the opposite direction. In the collision, the two vehicles come to a halt. At what speed was the sport utility vehicle traveling? 4. A student (m = 75 kg) falls freely from rest and strikes the ground. During the collision with the ground, he comes to rest in a time of 0.040 s. The average force exerted on him by ground is + 18000 N, where the upward direction is taken to be the positive direction. From what height did the student fall? Assume that the only force acting on him during the collision is that due to the ground. 5. A softball of mass 0.220 kg that is moving with a speed of 8.5 m/s collides head-on and elastically with another ball initially at rest. Afterward the incoming softball bounces backward with a speed of 3.7 m/s. Calculate a. The velocity of the target ball after the collision, and b. The mass of the target ball. Energy 6. A person who weighs 720 N steps onto a spring scale in the bathroom, and the spring compressess by 0.79 cm. a. What is the spring constant? b. What is the weight of another person who compresses the spring by 0.51 cm? 7. A 15.0-kg block rests on a horizontal table and is attached to one end massless, horizontal spring. By pulling horizontally on the other end of the spring, someone causes the block to accelerate uniformly and reach a speed of 5.00 m/s in 0.500 s. In the process, the spring is streched by 0.200 m. The block is then pulled at a constant speed of 5.00 m/s, during which time the spring is streched by only 0.0500 m. Find a. The spring constant of the spring and b. The coefficient of kinetic friction between the block and the table 8. A 3.2-kg block is hanging stationary from the end of a vertical spring that is attached to the ceiling. The elastic potential energy of this spring/mass system is 1.8 J. What is the elastic potential energy of the system when the 3.2-kg block is replaced by a 5.0-kg block? 9. A vertical spring (ignore its mass), whose spring stiffness constant is 950 N/m, is attached to a table and is compressed down 0.150 m. a. What upward speed can it give to a 0.3-kg ball when released? b. How high above its origional position (spring compressed) will the ball fly?

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Tutorial 3Dateline (17 Mei 2015)

Linear Momentum1. A volleyball is spiked so that its coming velocity of +4.0 m/s is changed to an outgoing velocity of -21 m/s. The mass of the volleyball is 0.35 kg. What impulse does the player apply to the ball?2. A 8.00 kg ball, moving to the right at a velocity of +2.00 m/s on a frictionless table, collides head-on with a stationary 10,5-kg ball. Find the final velocities of the balls if the collision is a. Elastic and b. Completely inelastic.3. A car (mass = 1100 kg) is traveling at 32 m/s when it collides head-on with a sport utility vehicle (mass = 2500 kg) traveling in the opposite direction. In the collision, the two vehicles come to a halt. At what speed was the sport utility vehicle traveling?4. A student (m = 75 kg) falls freely from rest and strikes the ground. During the collision with the ground, he comes to rest in a time of 0.040 s. The average force exerted on him by ground is + 18000 N, where the upward direction is taken to be the positive direction. From what height did the student fall? Assume that the only force acting on him during the collision is that due to the ground.5. A softball of mass 0.220 kg that is moving with a speed of 8.5 m/s collides head-on and elastically with another ball initially at rest. Afterward the incoming softball bounces backward with a speed of 3.7 m/s. Calculatea. The velocity of the target ball after the collision, andb. The mass of the target ball.Energy6. A person who weighs 720 N steps onto a spring scale in the bathroom, and the spring compressess by 0.79 cm.a. What is the spring constant?b. What is the weight of another person who compresses the spring by 0.51 cm?

7. A 15.0-kg block rests on a horizontal table and is attached to one end massless, horizontal spring. By pulling horizontally on the other end of the spring, someone causes the block to accelerate uniformly and reach a speed of 5.00 m/s in 0.500 s. In the process, the spring is streched by 0.200 m. The block is then pulled at a constant speed of 5.00 m/s, during which time the spring is streched by only 0.0500 m. Find a. The spring constant of the spring andb. The coefficient of kinetic friction between the block and the table

8. A 3.2-kg block is hanging stationary from the end of a vertical spring that is attached to the ceiling. The elastic potential energy of this spring/mass system is 1.8 J. What is the elastic potential energy of the system when the 3.2-kg block is replaced by a 5.0-kg block?

9. A vertical spring (ignore its mass), whose spring stiffness constant is 950 N/m, is attached to a table and is compressed down 0.150 m.a. What upward speed can it give to a 0.3-kg ball when released?b. How high above its origional position (spring compressed) will the ball fly?

10. Two railroad cars, each of mass 7650 kg and traveling 95 km/h in opposite directions, collide head-on and come to rest. How much thermal energy is produced in this collision?