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If the total mechanical energy of a particle is zero, is its linear momentum necessarily zero? Is it necessarily non-zero ?
if total mechanical energy is 0 then is not necessary that monemtam is also 0...
if KE of particle is 10J & potential energy is -10J then total mechanical energy is 0
but due to KE its momentam exists ....
P = (2mKE)1/2
its not necessary that momentam is 0 when Mechanical energy is 0...
if particle is placed at surface of earth & we take surface as refrence then total
mechanical energy is 0 ...no momentam exists ...
so momentam can be 0 or non zero if its mechanical energy is 0...
No it is not necessary that if mechanical energy is zero than momentum will be zero or non-zero.
Proof-
If PE = -(KE).
Than TE= PE + KE = 0.
But KE is not zero.
Also p(momentum) = 2KE/m.
So momentum is bot zero but M.E. is zero.
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