power depend on force time and mass derived the formula for power in term of force time and mass by using dimensional analysis
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Power, as a function of time, is the rate (i.e. derivative) at which work is done, so can be expressed by this equation:
P = dW/dt
where P is power, W is work, and t is time. Because work is a force F applied over a distance x,
W = F ⋅ x
for a constant force, power can be rewritten as :(is in the attachment)
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