Walker, Halliday & Resnick — Kinetic Energy and Work: Problem 19

19 In Fig. 7-23, a block of ice slides down a frictionless ramp at angle \(\theta = 50^{\circ}\) while an ice worker pulls on the block (via a rope) with a force \(\vec{F}_r\) that has a magnitude of 50 N and is directed up the ramp. As the block slides through distance \(d = 0.50 \text{ m}\) along the ramp, its kinetic energy increases by 80 J. How much greater would its kinetic energy have been if the rope had not been attached to the block?