a) Force F1 does 6 J of work in 9 seconds, force F2 does 4 J of work in 5 seconds, force F3 does 8 J of work in 20 seconds, and force F4 does 30 J of work in 120 seconds. Calculate the powers of each and rank these forces in order of increasing power they produce. Indicate ties where appropriate. b) A 2000 kg car accelerates from 30 m/s to 65 m/s in 30 seconds. How much power does that require? (Hint: use the work-energy theorem) c) A horse uses 1 kW of power to maintain a constant speed of 10 m/s. What is the average force exerted by the horse?

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Chapter1: Units, Trigonometry. And Vectors
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a) Force F1 does 6 J of work in 9 seconds, force F2 does 4 J of work in 5 seconds, force F3 does 8 J of
work in 20 seconds, and force F4 does 30 J of work in 120 seconds. Calculate the powers of each and
rank these forces in order of increasing power they produce. Indicate ties where appropriate.
b) A 2000 kg car accelerates from 30 m/s to 65 m/s in 30 seconds. How much power does that require?
(Hint: use the work-energy theorem)
c) A horse uses 1 kW of power to maintain a constant speed of 10 m/s. What is the average force
exerted by the horse?

**Problem 1)**

a) Force \( F_1 \) does 6 J of work in 9 seconds, force \( F_2 \) does 4 J of work in 5 seconds, force \( F_3 \) does 8 J of work in 20 seconds, and force \( F_4 \) does 30 J of work in 120 seconds. Calculate the powers of each and rank these forces in order of increasing power they produce. Indicate ties where appropriate.

b) A 2000 kg car accelerates from 30 m/s to 65 m/s in 30 seconds. How much power does that require? (Hint: use the work-energy theorem)

c) A horse uses 1 kW of power to maintain a constant speed of 10 m/s. What is the average force exerted by the horse?
Transcribed Image Text:**Problem 1)** a) Force \( F_1 \) does 6 J of work in 9 seconds, force \( F_2 \) does 4 J of work in 5 seconds, force \( F_3 \) does 8 J of work in 20 seconds, and force \( F_4 \) does 30 J of work in 120 seconds. Calculate the powers of each and rank these forces in order of increasing power they produce. Indicate ties where appropriate. b) A 2000 kg car accelerates from 30 m/s to 65 m/s in 30 seconds. How much power does that require? (Hint: use the work-energy theorem) c) A horse uses 1 kW of power to maintain a constant speed of 10 m/s. What is the average force exerted by the horse?
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