An object of mass 1000 g experiences a time dependent force 
. The power generated by the force at time t is:
Text Solution
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Given Information:
Force: 
Mass of the object, 
Determine Acceleration:
Using Newton's second law, 
.
Thus, the acceleration, 
.
Velocity Calculation:
To find velocity, integrate acceleration with respect to time:
Integrate to find 
:
(Assuming initial velocity is zero, 
, hence 
).
Calculate Power:
Power is defined as the dot product of force and velocity vectors:
Computing the dot product gives:
The power generated at time 
is
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