A particle with kinetic energy equal to 282 J has a momentum of magnitude 26.4 kg · m/s. Calculate the speed (in m/s) and the mass (in kg) of the particle.

Explanation:

Recall the formula for linear momentum (p):

 which in our case equals 26.4 kg m/s

and notice that the kinetic energy can be written in terms of the linear momentum (p) as shown below:

Then, we can solve for the mass (m) given the information we have on the kinetic energy and momentum of the particle:

Now by knowing the particle's mass, we use the momentum formula to find its speed: