How much power is required if a car needs to pull an object in an inclined road of 45 degrees using 32.5 N in 1 kilometer for 1 minute? Assume that the road is frictionless.

Answer 1

As we know, power is work per unit of time. In our case

(1) P = W / t, here W - work by constant force, t = 60 s - time.

Work (2) W = Fd, where in the problem F = 32.5 N,

and d = 1000m - distance travelled.

Now, if you combine formulas (1) and (2), you get P = Fd / t . Plug in the values and you are done.

P.S. My concern number 1, that if there is no friction, the car will accelerate and soon its velocity will be huge.

Number two. I cannot imagine the car whose engine produces force of 32.5 N. Maybe it is a toy car? But if this is the case, then poor child...

Anyway, problems like this I call "politically incorrect".

Thank you for your attention.