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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 the total mechanical energy of a particle is zero, is its linear momentum necessarily zero? Is it necessarily non-zero ?

Grade:12

2 Answers

vikas askiitian expert
509 Points
11 years ago

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...

Neer Varshney
76 Points
11 years ago

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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