A heavy and a light body have equal kinetic energies. Which one has greater momentum?

Answer 1

momentum = mass * velocity
kinetic energy = 1/2 mass * velocity squared

Suppose you have 200 Kg rock moving at 10 mps. Its energy is 10,000 and the momentum is 2,000.
On the other side is a 2 Kg stone moving at 100 mps. Its energy is 10,000 but the momentum is 200.
In this example, the energies are the same but the heavier rock has more momentum.

If the velocity is = 2 units per second, the two calculations are equal.
If less than 2 units per second, momentum is greater.
If greater than 2 units per second, kinetic energy is greater.

Try different values for speed and mass with the 2 equations and get the energies the same. Then compare momentums.

BTW, both calculations change if the velocity is very fast because relativity comes into play.

Answer 2

because of fact they have equivalent momenta, hence equivalent mv, the heavy physique will flow very slowly and the gentle physique will flow very right away. Kinetic capacity is a million/2*m*v ^2. So the severe velocity of the gentle physique would be squared giving a greater kinetic capacity than the kinetic capacity from the heavy mass. a. *answer could actually remember on incredibly how heavy or gentle the bodies are to one yet another.

Answer 3

k=mv^2/2
k= m*m*v*v/(m*2)
k=p^2/(m*2)
p=(k*m*2)^1/2

since p is directly proportional to (m)_^1/2
A body with higher weight has greater momentum

Answer 4

if the kinetic energie is the same the light body must have a greater speed.

Answer 5

1/2MV^2=1/2m v^2 as M>m v>V
M=k*m k>1 and V= v/sqrt(k)
so MV = mv*sqrt(k)
As k>1 sqrt(k)>1 and MV > mv The heavy one has a greater momentum

Answer 6

Heavy.