The concepts in this problem are similar to those in Multiple-Concept Example 4, except that the force doing the work in this problem is the tension in the cable. A rescue helicopter lifts a 82.3-kg person straight up by means of a cable. The person has an upward acceleration of 0.668 m/s2 and is lifted from rest through a distance of 9.10 m. (a) What is the tension in the cable? How much work is done by (b) the tension in the cable and (c) the person's weight? (d) Use the work-energy theorem and find the final speed of the person.

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An asteroid is moving along a straight line. A force acts along the displacement of the asteroid and slows it down. The asteroid has a mass of 4.8× 104 kg, and the force causes its speed to change from 7100 to 4900m/s. (a) What is the work done by the force? (b) If the asteroid slows down over a distance of 2× 106 m determine the magnitude of the force.

A water-skier is being pulled by a tow rope attached to a boat. As the driver pushes the throttle forward, the skier accelerates. A 61.2-kg water-skier has an initial speed of 5.1 m/s. Later, the speed increases to 12.1 m/s. Determine the work done by the net external force acting on the skier.

While riding on an elevator, a person has twoforces acting on him, a normal force and a gravity force. Suppose the person has mass m is on an elevator that 1 descends a distance d. If the total work on the person is Wiotal = -mgd, what is 4 the magnitude of the normal force? Is the elevator speeding up or slowing down? The knowns in this problem are m and g.

A chain is held on a frictionless table with one fourth hanging over the edge.  If the chain has a length of 57 cm and a mass of 0.020 kg, how much work is required to pull the hanging part back onto the table.  Use g = 10 N/kg.

A farmer is using a rope and pulley to lift a bucket of water from the bottom of a well that is hy = 9.5 m deep. The farmer uses a force F1 = 59.5 N to pull the bucket of water directly upwards. The total mass of the bucket of water is mb + mw = 3.1 kg. a.Calculate how much work Wf in J the farmer does on the bucket of water (via the rope) to raise it to ground level.  b.Calculate how much work Wg in J gravity does on the bucket filled with water as the farmer lifts it up the well.  c. Calculate the net work Wnet in J done on the bucket of water by the two forces F1 and Fg.

The concepts in this problem are similar to those in Multiple-Concept Example 4, except that the force doing the work in this problem is the tension in the cable. A rescue helicopter lifts a 90.5-kg person straight up by means of a cable. The person has an upward acceleration of 0.512 m/s2 and is lifted from rest through a distance of 8.89 m. (a) What is the tension in the cable? How much work is done by (b) the tension in the cable and (c) the person's weight? (d) Use the work-energy theorem and find the final speed of the person.

Do the following situations result in positive work, negative work, or zero work? Force is perpendicular to displacement. A force slows an object down. Force acts in the same direction as displacement. Force acts in the opposite direction of displacement. A force acts on an object that remains stationary.

A 5.8 kg body is at rest on a frictionless horizontal air track when a constant horizontal force F acting in the positive direction of an x axis along the track is applied to the body. A stroboscopic graph of the position of the body as it slides to the right is shown in the figure. The force F is applied to the body at t = 0, and the graph records the position of the body at 0.50 s intervals. How much work is done on the body by the applied force F between t = 0 and t = 1.0 s? t = 0 -0.5 s -1.0 s -1.5 s -2.0s 0.4 x (m) 0.2 0.6 0.8