Problem 38PE

(a) How long will it take an 850-kg car with a useful power output of 40.0 hp (1 hp = 746 W) to reach a speed of 15.0 m/ s, neglecting friction? (b) How long will this acceleration take if the car also climbs a 3.00-m-high hill in the process?

Then calculate the time required for the car to climb 3.00 m height.

Ignore the friction in all this case.

(a)Step 2 of 3<p>The power output of the car isThe mass of the car is kg and the velocity is m/s. Now the energy of the car when the velocity of the car is 15 m/s is

So the time taken to accelerate is

So, the car will take 3.21 s to reach 15 m/s.

(b)