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Phantasy [73]
3 years ago
15

It takes 23 seconds to hoist a rescue diver of mass 80 kg from the ocean surface to a helicopter hovering 23.9 meters above the

ocean surface using a motor-driven cable. How much power (in Watts) was supplied by the motor to hoist the diver into the helicopter at a constant speed
Physics
1 answer:
tino4ka555 [31]3 years ago
4 0

Answer:

840 W

Explanation:

The energy expended in hoisting the diver up is given by

E = mgh

<em>m</em> is the mass of the diver, <em>g </em>is the acceleration due to gravity and <em>h</em> is the height.

Using the values in the question and taking <em>g</em> as 9.8 m/s²,

E = (80\text{ kg})\times (9.8\text{ m/s}^2)\times (23.9\text{ m}) = 18737.6\text{ J}

The power is given by

P = \dfrac{E}{t}

<em>t</em> is the time.

Hence,

P = \dfrac{18737.6\text{ J}}{23\text{ s}} = 841.678\ldots \text{ W}\approx 840\text{ W}

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