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A block of mass 2.0 kg kept at rest on an inclined plane of inclination 37 is pulled up the plane by applying a constant force of 20 N parallel to the incline. The force acts for one second. (a) Show that the work done by the applied force does not exceed 40 J. (b) Find the work done by the force of gravity in that one second if the work done by the applied force is 40 J. (c) Find the kinetic energy of the block at the instant the force ceases to act. Take g = 10 m/s2.

A block of mass 2.0 kg kept at rest on an inclined plane of inclination 37 is pulled up the plane by applying a constant force of 20 N parallel to the incline. The force acts for one second. (a) Show that the work done by the applied force does not exceed 40 J. (b) Find the work done by the force of gravity in that one second if the work done by the applied force is 40 J. (c) Find the kinetic energy of the block at the instant the force ceases to act. Take g = 10 m/s2.

Grade:10

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
8 years ago
Sol. Given, v = a √x (uniformly accelerated motion) displacement s = d – 0 = d putting x = 0, v base 1= 0 putting x = d, v base 2= a √d a = v base 2^2/2s = a^2d/2d = a^2/2 force = ma = ma^2/2 work done w = FS cos θ = ma^2/2 * d = ma^2d/2

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