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1) A roller-coaster cart of 1000 kg starts at rest and moves down from 150 m hei

ID: 2034645 • Letter: 1

Question

1) A roller-coaster cart of 1000 kg starts at rest and moves down from 150 m height from the ground and running through a vertically circular rail, the diameter of the rail is 5m,find the force between the rail and roller-coaster in the following positon: a) at top position, (90"), b) bottom position (270°), c) horizontal position (180°), d) 45 degree from top position (1359) 2) A ball with velocity of 10 m/s on the top of 70 meter high building surrounded by level ground. find the speed of the ball at position 50 meter from the ground level. 3) A 20 g stone tied with a rope and rotates vertically on a 10 cm rope (ignore mass of the rope), at the top position the speed is 1.5 m/s. Calculate the speed of the stone, centripetal force on the stone, and the tension force on the rope in the a) top position, b) bottom position, c) 30 degree from the bottom position, d) 60 degree from the top position, e) 90 degree from the top position. 4) A gun has a mass of 0.8 kg and a bullet has a mass of 10 grams. After pull the trigger, the bullet is at a speed of 80 m/s, calculate the speed of the gun. 5) A 8Ograms of billiard ball strikes a rigid wall with the speed of 5 m/s, and is reflected without an change of speed in 0.2 second The ball strikes the wall at an angle of 409 from the perpendicular and bounces off at an angle of 459 from perpendicular to the wall. Calculate, a) the mo the ball before strike to the wall, b) calculate the momentum of the ball after bounce back from the wall, c) calculate the impulse of the ball, d) calculate the force acting on the ball by the wall e) calculate the force acting on the wall by the ball, mentum of that tho mass of halls m1

Explanation / Answer

4) by the conservation of momentum we have

m1v1 = m2v2

0.8*v1 = 0.01*80

v1 = 1 m/s

so the speed of the gun is 1 m/s

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