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

The car will take 4 seconds.

Explanation:

First of all, we convert the power from hp to W:

The work done by the car is equal to the change in its mechanical energy. This means that:

Now, the change in mechanical energy in terms of the kinetic and potential energy is:

Since the initial height and the initial velocity are zero, we have:

Finally,

Plugging in the given values, we obtain:

In words, the car will take 4 seconds.

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.