Question
A cyclist overcomes a resistive force of 30N in order to cycle 30m It takes her 6 seconds to cycle this distance. Calculate the power of the cyclist.
Answer
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Sioned
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Answer
150 W
Explanation
Firstly, the work done by the cyclist to overcome the resistance force is determined by the product of the force and distance. This comes from the formula for work done (W) which is W=Fs (force multiplied by distance). The cyclist's force is 30N and the distance covered is 30m, therefore the work done will be (30N)*(30m).Secondly, the power exerted by the cyclist is ascertained by dividing the work done by the time it took her to do it. This is represented by the formula P=W/t (power is equal to work done divided by time). In our case, the time is 6s.Substituting these values into our power equation, we get the answer to the problem.