Physics

Problem

Two stones X and Y are studied by plotting their kinetic energy against

v^2

. For stone X the line passes through

v^2 = 2\,\text{m}^2/\text{s}^2,\; KE = 4\,\text{J}

and

v^2 = 8\,\text{m}^2/\text{s}^2,\; KE = 16\,\text{J}

. For stone Y the line passes through

v^2 = 3\,\text{m}^2/\text{s}^2,\; KE = 9\,\text{J}

and

v^2 = 12\,\text{m}^2/\text{s}^2,\; KE = 36\,\text{J}

. a. (a) Determine the mass of each stone. b. (b) For each stone, calculate the speed required for it to possess

50\,\text{J}

of kinetic energy.