3. A crate of mass 45kg was pushed from rest by a horizontal force of 120N on a horizontal plane from point A to point B. The distance between A and B was 80m. The friction coefficient between the crate and the plane was 0.2. (a) How much work was invested by the pushing force? (b) How much work was dissipated by the friction force? (c) What was the change in kinetic energy of the crate as it moved from A to B? (d) What was the velocity of the crate at point B? (e) After the crate reached point B, the pushing force stopped, and the crate continued to move until it came to a complete stop at point C, due the friction force. How much work was dissipated by the friction force as the crate moved from A to C?