# Answer to Question #65213 in Mechanics | Relativity for joal

Question #65213

When comparing Einstein's mass energy equivalence E=mc^2 with potential energy in linear movement ( one diamention or in space)

mc^2=mgh

in space g=acc and h=S(distance)

c^2=aS

to find the maxi distance that can be travelled by a mass m with acc a is S

S=c^2/a

when acc = c/5

S=5c

Thus when the object moves with a acc of c/5 then the maximum distance travelled by the body without change of mass into energy is 15x10^5 kms only.

I have a doubt whether this is correct or not.

mc^2=mgh

in space g=acc and h=S(distance)

c^2=aS

to find the maxi distance that can be travelled by a mass m with acc a is S

S=c^2/a

when acc = c/5

S=5c

Thus when the object moves with a acc of c/5 then the maximum distance travelled by the body without change of mass into energy is 15x10^5 kms only.

I have a doubt whether this is correct or not.

Expert's answer

The understanding of this expression is completely wrong. Einstein equation doesn't consider a potential energy due to gravity. So you can't compare these two parts of the equation.

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