When tha K.E of body is incressed by 100% the momentum of the body is incressed by?
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KE increased by 100% means it is doubled.
KE = (1/2)* m* v² ⇒ Increasing v to √2 times keeping the mass constant, increases KE 100%. Therefore keeping the mass constant doubling KE means momentum is increased √2 times or 1,41 times . Increases by 41%.
If somehow we are able to increase the mass to two times keeping the velocity constant, then also KE is doubled and the momentum is also doubled i,e., increased by 100 %.
Any other variation of m and v to increse the KE by 100% will cause the momentum to change by a percentage between 41% and 100%. depending on the change of m and v.
KE = (1/2)* m* v² ⇒ Increasing v to √2 times keeping the mass constant, increases KE 100%. Therefore keeping the mass constant doubling KE means momentum is increased √2 times or 1,41 times . Increases by 41%.
If somehow we are able to increase the mass to two times keeping the velocity constant, then also KE is doubled and the momentum is also doubled i,e., increased by 100 %.
Any other variation of m and v to increse the KE by 100% will cause the momentum to change by a percentage between 41% and 100%. depending on the change of m and v.
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