You and a friend move a grand piano across the living room, exerting 25 newtons of force and performing 175 joules of work. It takes you 14 seconds. How far did you move the piano? How much power did you generate, in watts (joules/sec) ?

Distance = 7 m

Power = 12.5 J/s or watts

Explanation:

Work done = 175 Joules

Force exerted = 25 Newtons

Work done is the product of force exerted and the distance moved by a body.

Therefore;

Work done = Force * distance

Rearranging the formula we can work out the distance;

Distance = work done : Force

= 175 J : 25 N

= 7 m

Thus, the grand piano was moved by 7 m across the living room.

On the other hand,

Power is the rate at which the work is done.

Therefore;

Power = Work done : time

Work done = 175 Joules

Time = 14 seconds

Thus;

Power generated = 175 J : 14 sec

= 12.5 J/s or watts

Hence, a power of 12.5 J/s was generated in moving the grand piano.