A moving object has the K.E=100 J and the momentum p=50 kgm/s. What is its mass?

1 Answer
May 8, 2018

#color(blue)(12.5kg)#

Explanation:

#KE=1/2mv^2 \ \ \ \ [1]#

#p=mv#

Plugging in the values you have:

#100=1/2mv^2#

#mv=50#

#v=50/m#

Substituting this in #[1]#

#100=1/2m(50/m)^2=50^2/(2m)#

#50^2/m=200#

#m=50^2/200=12.5kg#