Problem 34.

A 10.0 kg block is towed up an inclined at with respect to the horizontal. The rope is parallel to the incline and has a tension of 100 N. Assume that the block starts from rest at the bottom of the hill, and neglect friction. How fast is the block going after moving 40 m up the hill?

Solution:

To find the speed of the block we need to find the acceleration of the block. The speed is related to acceleration and traveled distance by the following equation (see kinematics)

where . The acceleration is given by the equation

Then