How much power is needed to accelerate an object with a mass of #5 kg# and a velocity of #3 m/s# at a rate of #2 m/s^2#?
1 Answer
Jan 5, 2016
Explanation:
I assume the question meant to say "to" a velocity of 3.
Consider the following 4 definitions :
Power is the rate of doing work :
Work is the inner product of the resultant force with the displacement moved in the direction of the resultant force :
Velocity is the rate of change in displacement :
Now putting all together we get :
Now furthermore, from newton's 2nd Law of motion we get that
We can hence find the resultant force in the above question as follows :
Hence the power required is