A sledge of mass 20 kg starts from rest on frictionless ice. It is pulled 10 m by a rope with a tension of 50 N at 30° above the horizontal. What is its final speed?
- Work done = Fs cos θ = 50 × 10 × cos 30° = 500 × 0.866 = 433 J.
- With no friction, all of this becomes kinetic energy: ½mv2 = 433.
- v2 = 2 × 433 ÷ 20 = 43.3, so v = √43.3.
Answer: About 6.6 m s−1.