2. (a) A rescue helicopter lifts a 93.5 kg person straight up by means of a cable. The person has an upward acceleration of 0.738 m/s² and is lifted from rest through a distance of 7.97 m. (i) What is the tension in the cable. (ii) How much work is done by the tension in the cable? (iii) How much work is done by the person's weight? (iv) Use the work-energy theorem and find the final speed of the ] person. (b) The diagram shows the first two hills of a frictionless rollercoaster ride, marked A and B. At A the 1100 kg carriage is moving at 0.5 m/s, and at B it is moving at 33 m/s. If B is 35 m high, use conservation of energy to calculate the height of A. 68 A B (c) A 73 kg sprinter, starting from rest, reaches a speed of 7 m/s in 1.8 s. Calculate the average power needed to accelerate the runner?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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2. (a) A rescue helicopter lifts a 93.5 kg person straight up by means of a cable.
The person has an upward acceleration of 0.738 m/s² and is lifted from rest
through a distance of 7.97 m.
(i) What is the tension in the cable.
(ii) How much work is done by the tension in the cable?
(iii) How much work is done by the person's weight?
(iv) Use the work-energy theorem and find the final speed of the ]
person.
(b) The diagram shows the first two hills of a frictionless rollercoaster ride,
marked A and B. At A the 1100 kg carriage is moving at 0.5 m/s, and at B it
is moving at 33 m/s. If B is 35 m high, use conservation of energy to
calculate the height of A.
68 A
B
(c) A 73 kg sprinter, starting from rest, reaches a speed of 7 m/s in 1.8 s.
Calculate the average power needed to accelerate the runner?
Transcribed Image Text:2. (a) A rescue helicopter lifts a 93.5 kg person straight up by means of a cable. The person has an upward acceleration of 0.738 m/s² and is lifted from rest through a distance of 7.97 m. (i) What is the tension in the cable. (ii) How much work is done by the tension in the cable? (iii) How much work is done by the person's weight? (iv) Use the work-energy theorem and find the final speed of the ] person. (b) The diagram shows the first two hills of a frictionless rollercoaster ride, marked A and B. At A the 1100 kg carriage is moving at 0.5 m/s, and at B it is moving at 33 m/s. If B is 35 m high, use conservation of energy to calculate the height of A. 68 A B (c) A 73 kg sprinter, starting from rest, reaches a speed of 7 m/s in 1.8 s. Calculate the average power needed to accelerate the runner?
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