A light body and a heavy body have the same kinetic energy. Which one will have greater momentum?

Question

A light body and a heavy body have the same kinetic energy- Which one will have the greater momentum -

Toppr Admin · Accepted Answer

Kinetic energy -k-frac-1-2-my-2-frac-mv-2-2m-frac-p-2-2m-or-160- -p-sqrt-2mk- i-e- -p-propto-sqrt-m-Thus the heavier body has a greater momentum than the lighter one-

A light body and a heavy body have the same kinetic energy. Which one will have the greater momentum ?

Kinetic energy ,
$$k=\frac{1}{2}my^2=\frac{(mv)^2}{2m}=\frac{p^2}{2m}$$
or $$p=\sqrt{2mk}$$ i.e., $$p\propto=\sqrt{m}$$
Thus the heavier body has a greater momentum than the lighter one.

A light body and a heavy body have the same kinetic energy. Which one will have the greater momentum ?

Kinetic energy ,$$k=\frac{1}{2}my^2=\frac{(mv)^2}{2m}=\frac{p^2}{2m}$$or $$p=\sqrt{2mk}$$ i.e., $$p\propto=\sqrt{m}$$Thus the heavier body has a greater momentum than the lighter one.

Kinetic energy ,
$$k=\frac{1}{2}my^2=\frac{(mv)^2}{2m}=\frac{p^2}{2m}$$
or $$p=\sqrt{2mk}$$ i.e., $$p\propto=\sqrt{m}$$
Thus the heavier body has a greater momentum than the lighter one.