1. Define the term work and derive its SI unit. Write an expression for the kinetic energy
of a body of mass m moving with a uniform speed v.
2. What are conservative and non-conservative forces? Give one example of each.
3. Define kinetic energy. Derive an expression for the kinetic energy of a body moving
with a uniform velocity.
4. Define the term potential energy, and derive its dimensions. Write an expression for
the gravitational potential energy of mass m raised to a height 'h' above the earth's
surface.
5. An elastic spring of force constant k is compressed by an amount x. Show that its
potential energy is 1/2kx2.
6. State and prove work energy theorem.
7. Prove analytically that gravitational force is a conservative force.
8. State and prove the principle of conservation of mechanical energy.
9. Mention four properties of conservative forces.
10. What is the meaning of 'collision' in physics? Differentiate between elastic and in-
elastic collision. Give one example each.
11. Derive expressions for the velocities of two bodies in terms of initial velocities for
elastic one dimensional collision.
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