Challenging Questions

Physics

Learning Unit: Force and Motion

Question PH-02-01

An object of mass \(m=5 kg\) is placed on a smooth inclined plane with an angle \(θ=30^∘\) to the horizontal. Starting from rest at the bottom, it is pushed up the incline by a constant force \(F\) acting parallel to the surface. When the work done by \(F\) reaches \(360 J\), the force is removed. The object continues moving upward under gravity alone until it momentarily stops, then slides back down to the starting point. The total time taken for the upward motion (from the moment it starts at the bottom until it reaches its highest point) is three times the time taken for the downward motion (from the highest point back to the bottom). Using \(g=9.81 ms^{-2}\), find the magnitude of the constant force \(F\).

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