Physics

Problem

A stone is whirled in a circle and then released so that it moves in a straight line with a certain speed. Answer the following questions about the stone: a. (i) Write the mathematical expression for the kinetic energy of a body of mass

m

moving with speed

v

. b. (ii) The stone possesses

90\,\text{J}

of kinetic energy while moving with a speed of

6\,\text{m\!/s}

. Calculate the mass of the stone. c. (iii) The speed of the same stone is later reduced to

3\,\text{m\!/s}

. Determine its new kinetic energy. d. (iv) Using your answers to parts (ii) and (iii), state how the kinetic energy of a body depends on its speed when the mass remains constant.

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