A 20.0 kg box slides down a 12.0 m long incline at an angle of 30.0 degrees with the horizontal. A force of 50.0 N is applied to the box in the upward direction to try to prevent it from sliding down the incline. The applied force makes an angle of 10.0 degrees to the incline. If the incline has no friction, then the increase in the kinetic energy of the box is

The increase in kinetic energy is 586.32 J.

Explanation:

Force acting to push the object Down the incline = component of weight acting down the incline

Let's call this force

Force acting to push the object UP the incline = component of stopping force acting up the incline

Let's call this force

Calculating these forces we get:

The increase in the kinetic energy will be equal to the work done :

Thus, the increase in kinetic energy is also 586.32 J.

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explanation:

physics means: "the branch of science concerned with the nature and properties of matter and energy. the subject matter of physics, distinguished from that of chemistry and biology, includes mechanics, heat, light and other radiation, sound, electricity, magnetism, and the structure of atoms."