A 5 kg block starts from rest and is pulled up a smooth 30° incline with acceleration 1 m s⁻². Find the power delivered by the pulling force at t = 10 s. Take g = 10 m s⁻². Image
Physics · Work , Power and Energy · Power
JEE Mains 11 April 2023 Shift 2 Evening Shift

Question

A 5 kg block starts from rest and is pulled up a smooth 30° incline with acceleration 1 m s⁻². Find the power delivered by the pulling force at t = 10 s. Take g = 10 m s⁻². Image

G1 Physics · Accepted Answer

Along the incline: F - mg sin30° = ma. F = ma + mg/2 = 5×1 + 5×10/2 = 30 N. At t=10 s, v = at = 10 m s⁻¹. Power P = Fv = 30×10 = 300 W. Final value: 300