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- A block is connected to a spring that is suspended from the ceiling. Assuming air resistance is ignored, describe the energy transformations that occur within die system consisting of the block, the Earth, and the spring when the block is set into vertical motion.A small block of mass m = 200 g is released from rest at point along the horizontal diameter on the inside of a frictionless, hemispherical bowl of radius R = 30.0 cm (Fig. P7.45). Calculate (a) the gravitational potential energy of the block-Earth system when the block is at point relative to point . (b) the kinetic energy of the block at point , (c) its speed at point , and (d) its kinetic energy and the potential energy when the block is at point . Figure P7.45 Problems 45 and 46.. A compact car can climb a hill in 10 s. The top of the hill is 30 in higher than the bottom, and the car’s mass is 1,000 kg. What is the power output of the car?
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- Ashley is working on a problem in which a 13 kg rock rolls down a 12 m hill. She reasons that since the rock is moving downward, that the work performed by gravity must be negative, so the total work done is; (9.8m/s^2) (11kg) (-12m) = - 1300 J Is ashley's reasoning correct? if so, explain. If not, what mistake did she make?A grinding wheel 0.2 m in diameter, of mass 3 kg, is rotating at 3600 revolution per minute about an axis through its center. What is its kinetic energy?The figure shows a ball with mass m = 0.348 kg attached to the end of a thin rod with length L=0.453 m and negligible mass. The other end of the rod is pivoted so that the ball can move in a vertical circle. The rod is held horizontally as shown and then given enough of a downward push to cause the ball to swing down and around and just reach the vertically upward position, with zero speed there. How much work is done on the ball by the gravitational force from the initial point to (a) the lowest point, (b) the highest point, and (c) the point on the right level with the initial point? If the gravitational potential energy of the ball-Earth system is taken to be zero at the initial point, what is it when the ball reaches (d) the lowest point, (e) the highest point, and (f) the point on the right level with the initial point? (a) Number i (b) Number (c) Number i (d) Number i (e) Number i (f) Number i Units Units Units Units Units Units
- The figure below shows a ball with mass m = 0.330 kg attached to the end of a thin rod with length L = 0.495 m and negligible mass. The other end of the rod is pivoted so that the ball can move in a vertical circle. The rod is held horizontally as shown and then given enough of a downward push to cause the ball to swing down and around and just reach the vertically up position, with zero speed there. How much work is done on the ball by the gravitational force from the initial point to the following points? (a) the lowest point J (b) the highest point J (c) the point on the right level with the initial point JA 170-lb man carries a 20-lb can of paint up a helical staircase that encircles a silo with radius 30 ft. If the silo is 120 ft high and the man makes exactly four complete revolutions, how much work is done by the man against gravity in climbing to the top? Answer in ft-lbs.A 0.50-kg object moves in a horizontal circular track with a radius of 2.5m. An external force of 3.0N, always tangent to the track, causes the object to speed up as it goes around. The work done by the external force as the mass makes one revolution is: 0. 47J 59J 94J O 122J