Respuesta :
For this first we need to calculate acceleration of the jumper
i.e, a = v/t = 10m/s / 3.1 s
now we need to calculate the force of the jumper
i.e, f = m * a = 75 * 10/3.1
now we need to calculate the power output
for that the formula is
power output = force * velocity
= 75 * (10 / 3.1) * 3.1
= 75 *10
= 750
The equation for Power is:
Power = Work / time
According to work energy theorem, the work done is equal to the change in kinetic energy, therefore:
P = [KE(f) – KE(i)] / t
Since the jumper starts from rest, so KE(i) is zero, hence:
P = KE(f) / t
Where KE kinetic energy is 0.5 mv^2, therefore:
P = 0.5 mv^2 / t
P = 0.5 (75 kg) (10 m/s)^2 / 3.1 s
P = 1209.68 W