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# 2000BAP - 2000 156 A 0.50 kg cart moves on a straight...

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A 0.50 kg cart moves on a straight horizontal track. The graph of velocity v versus time t for the cart is given below. a. Indicate every time t for which the cart is at rest. b. Indicate every time interval for which the speed (magnitude of velocity) of the cart is increasing. c. Determine the horizontal position x of the cart at t = 9.0 s if the cart is located at x = 2.0 m at t = 0. d. On the axes below, sketch the acceleration a versus time t graph for the motion of the cart from t = 0 to t = 25 s. e. From t = 25 s until the cart reaches the end of the track, the cart continues with constant horizontal velocity. The cart leaves the end of the track and hits the floor, which is 0.40 m below the track. Neglecting air resistance, determine each of the following: i. The time from when the cart leaves the track until it first hits the floor ii. The horizontal distance from the end of the track to the point at which the cart first hits the floor iii. The kinetic energy of the cart immediately before it hits the floor 2000 156

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Blocks 1 and 2 of masses m l and m 2 , respectively, are connected by a light string, as shown above. These blocks are further connected to a block of mass M by another light string that passes over a pulley of negligible mass and friction. Blocks l and 2 move with a constant velocity v down the inclined plane, which makes an angle θ with the horizontal. The kinetic frictional force on block 1 is f and that on block 2 is 2f. a. On the figure below, draw and label all the forces on block m l .
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2000BAP - 2000 156 A 0.50 kg cart moves on a straight...

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