**(a)**

Gravitational potential energy:

$\overline{){\mathbf{U}}{\mathbf{=}}{\mathbf{m}}{\mathbf{g}}{\mathbf{h}}}$

Work done by gravity is equal to the change in gravitational potential energy.

Two blocks of unequal mass are connected by a string over a smooth massless pulley with m_{2}>m_{1}. The coefficient of kinetic friction between mass m_{2} and the incline is µ_{k} and the incline makes an angle theta with respect to the horizontal.

(a) Evaluate the work done by gravity in moving the blocks a distance d.

(b) Evaulate the work done by the frictional force in moving the distance d traveled. Is it positive or negative?

(c) Using your answers from "a" and "b" evaluate the speed of the of the blocks after they move a distance d traveled.

(d) Find an expression between masses m1 and m2 such that mass m2 slides down the incline at constant velocity

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