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9. A child projects his toy car up an inclined plane which makes an angle of 37 with the horizontal at a speed of 6.0
9. A child projects his toy car up an inclined plane which makes an angle of 37 with the horizontal at a speed of 6.0 m/s. The coefficient of kinetic friction is 0.50. a. How far does the car go up the incline? b. What is the speed of the car as it returns to its starting position? 10. A 45.0 g bullet, traveling at a velocity of 9.50 x 10" m/s [E], strikes a 2.26 kg block which is resting on a horizontal surface. The coefficient of kinetic friction between the block and the surface is 0.536. After the impact the bullet remains embedded in the block. a. What is the velocity of the block and the bullet after the impact? b. How far does the block with the bullet move before coming to rest?11. A baseball pitcher gives a 0.80 kg baseball a velocity of 30 m/s towards home plate. If the ball was in contact with the pitcher's hand for 0.40 seconds find: a. The kinetic energy given to the ball b. The work done by the pitcher on the ball c. The momentum of the ball d. The impulse the pitcher applied to the ball e. The average force that the pitcher applied to the ball12. A bullet is fired horizontally into a block which is supported as a simple pendulum. The bullet which has a mass of 0.0200 kg, is moving at 4.00 x 10" m/s east just before it hits the block. The block's mass is 2.00 kg. The bullet remains embedded in the block after the collision. a. At what speed will the block and bullet be moving just after the collision? b. What impulse did the bullet impart to the block? c. How high will the block and bullet rise above the original level, assuming that no energy was lost after the collision? Up + 3. h bullet block13. A man aims his gun vertically and shoots a 0.245 kg bird which is perched on a telephone wire. The bullet has a mass of 55.0 g and is travelling at a velocity of 7.50 x 102 mis upwards just before It hits the bird. The bullet passes through the bird, emerging with a velocity of 5.55 x 10:L mfs upwards. How high does the bird rise after being hit by the bullet? 14. A 5.00 kg mass, originallyr held at rest in position 1 as shown in the diagram below, slides down a frictionless quadrant of a vertical circle of radius 2.50 m. It then collides with another 5.00 kg mass at rest a position 2. Theilr stick together and move on the horizontal frictionless surface and up another frictionless quadrant of a vertical circle. Calculate the vertical height \"h\" at which they would momentarily come to rest. Position 1 15. Two masses 3 m and m are connected by a light inextensible cord passing over a smooth frictionless pulley. The system is at rest with the 3 at mass resting on the ground as shown in the diagram. A third mass m falls through a height of 2.5 m and strikes the mass m on the pulley, adheres to it and sets the whole system in motion. Calculate the height to which the 3 m mass will rise before coming to rest momentarily. kiln
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