A moving object has a kinetic energy of 200 J and a momentum with a magnitude of 33 kg*m/s.?

Question

A moving object has a kinetic energy of 200 J and a momentum with a magnitude of 33 kg*m/s. Determine the mass and speed of the object.

Answer 1

just use kinetic energy formula and the momentum formula. 200=.5mv^2 and 33=mv, then do some substitution to get v to equal 12.12m/s and m to equal 2.72kg

Answer 2

Kinetic Energy = 1/2(m)(v^2) = 200 Momentum = (m)(V) = 25 where m = mass of the moving object V = velocity of the object From the momentum equation, m = 25/V and substituting this in the first equation, Kinetic energy = 200 = (1/2)(25/V)(V^2) Simplifying, V = 400/25 = 16 m/s Using the momentum equation, m = 25/16 kg. Answers: mass = 25/16 kg. velocity = 16 m/sec.