An object has a kinetic energy of 268 j and a momentum of magnitude 22.4 kg·m/s. find the speed and the mass of the object.

Rearrange equation 2:

m = 20.3/v

Sub into equation 1:

466 = (20.3/v) v^2

466 = 20.3v

v = 466 / 20.3

v = 22.96 m/s

Use to find m:

m = 20.3 / 22.96

m = 0.8843 kg

Rounding:

v = 23.0 m/s to three significant figures.

m = 0.884 kg to three significant figures.