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hk4491
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Homework Statement
A force of 5 N acts upon a body of 8 kg in the +x direction. Formulate an expression for the power generated as a function of time. The body is in the beginning at t=0 and x=0 (Sorry I'm translating this question from German, so excuse the mistakes).
Homework Equations
Work = Force * distance
Power = ΔW/Δt
Force = mass * acceleration
The Attempt at a Solution
Since the force of 5N is acting on the body, by Newton's third law, it is also exerting the same force, so that:
F = m * a
5 = 8*a
a=5/8 m/s^2
By integrating the acceleration twice I get the distance as a function of time:
x(t) = 5/8 t^2
Work = Force * distance = 5 * (5/8)t^2 = (25/8)t^2
P(t) = (25/8)t
Was my method correct?