Problem

1. a Show that the kinetic energy of a body of mass,

m

, and momentum,

p

, can be expressed as

E_K = \frac{p^2}{2m}

. 2. b Calculate the kinetic energy of - i a 3.0 kg mass with momentum

12.0 \text{ kgms}^{-1}

. - ii an electron of mass

9.11 \times 10^{-31} \text{ kg}

with a momentum of

5.4 \times 10^{-24} \text{ kgms}^{-1}

. 3. c Calculate the momentum of - i a mass of 0.60 kg with a

E_K

of 30.0 J. (Direction not required.) - ii a tennis ball of mass 58 g with a

E_K

of 26.1 J. (Direction not required.)