rileysuxatmath6095 rileysuxatmath6095
  • 12-08-2018
  • Physics
contestada

A sprinter weighing 50 kg increase her speed from 0 to 4 in 1 sec. what is power developed by her?

Respuesta :

skyluke89
skyluke89 skyluke89
  • 04-09-2018

First of all, we need to calculate the work done by the man to increase his speed. The work done is equal to the gain in kinetic energy. The initial kinetic energy is zero, since the initial velocity is zero; the final kinetic energy of the man is

[tex] K=\frac{1}{2}mv^2 =\frac{1}{2} (50 kg)(4 m/s)^2 =400 J [/tex]

so, the work done is equal to 400 J.

Now we can calculate the power, which is the ratio between the work done and the time taken:

[tex] P=\frac{W}{t}=\frac{400 J}{1 s}=400 W [/tex]

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