Work done by a constant and variable force; kinetic and potential energies; work-energy theorem; power; conservative and non-conservative forces; elastic and inelastic collisions in one and two dimensions.
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Q1 · Work, Energy and Power · EASY
A block of mass 2 kg is initially at rest on a frictionless horizontal surface. A constant horizontal force of 10 N is applied to the block for 4 seconds. What is the work done by the force?
Q2 · Work, Energy and Power · EASY
A body of mass 5 kg is thrown vertically upward with a kinetic energy of 490 J. What is the maximum height reached by the body? (Take g = 10 m/s²)
Q3 · Work, Energy and Power · MEDIUM
A particle of mass 0.5 kg moving with velocity 10 m/s collides head-on with another particle of mass 1 kg at rest. If the collision is perfectly elastic, what is the velocity of the 0.5 kg particle after collision?
Q4 · Work, Energy and Power · MEDIUM
A force F = (3x² + 2x) N acts on a particle along the x-axis, where x is in meters. What is the work done by this force in moving the particle from x = 1 m to x = 3 m?
Q5 · Work, Energy and Power · HARD
A particle of mass 2 kg moving with velocity (3i + 4j) m/s collides with another particle of mass 3 kg moving with velocity (-2i + j) m/s. After the collision, they stick together. What is the loss in kinetic energy during this perfectly inelastic collision?