"A moving object has a kinetic energy of 145 J and a momentum with a magnitude of 40.0 kg·m/s. Determine the mass and speed of the object."

Question

I simply cannot figure it out. I know that KE=.5mv^2 and that p=mv but I can't seem to piece it together. Please explain?

Answer 1

40=mv
145=.5mv^2

divide the second equation by the first.

145/40=.5v

v=290/40 m/s

then figure m.

Answer 2

Thank you so much!