Physics

Problem

A formula

E = \dfrac12 m v^{3}

is proposed for the kinetic energy

E

of a particle of mass

m

moving with speed

v

. Which single change will make the expression dimensionally consistent with energy? a) Replace the mass

m

m^{2}

. b) No change is needed; it is already dimensionally consistent. c) Replace the exponent

3

v

1

. d) Replace the exponent

3

v

2