In order to sail through the frozen Arctic Ocean, the most powerful icebreaker ever built was constructed in the former Soviet Union. At the heart of the ship's power plant is a nuclear reactor with a power output of 5.60 * 10^7 W. How long will it take for this power plant to do 5.35 * 10^10 J of work?

Question

Physics

Angie Chambers

19 May, 02:38

In order to sail through the frozen Arctic Ocean, the most powerful icebreaker ever built was constructed in the former Soviet Union. At the heart of the ship's power plant is a nuclear reactor with a power output of 5.60 * 10^7 W. How long will it take for this power plant to do 5.35 * 10^10 J of work?

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Jocelynn Griffin · Answer 1

955.36 seconds ≈ 16 minutes

Explanation:

Power (P) is the rate of doing work (W)

That is, P = W/t, where t is the time.

multipying both sides with 't' and dividing with 'P', we get: t=W/P

Here, W = 5.35 x 10^10 J and P = 5.6 x 10^7 W (1 W = 1 J/s).

Therefore, on dividing W with P, we get 955.36 seconds.