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The relation between kinetic energy is proportional to the square of velocity. Momentum is directly proportional to velocity. If the momentum of an object is doubled, but its mass does not increase (so velocity remains well below the speed of light), then its velocity is doubled. If the velocity is doubled then the kinetic energy increases by the square of 2, or four time.

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14y ago
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13y ago

kinetic energy= half mass multiplied by velocity square (KE=1/2mv2)

if velocity is doubled, then KE=1/2mass multiply by 2velocity square

then, 1/4 KE= 1/2 mass velocity square

so it can be deduced that if velocity is doubled of an object, then its kinetic energy will decrease by 4 times.

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14y ago

Increased. Formula is E= Mass x velocity squared. Doubling the velocity has a disproportionate effect on energy because of squaring. 1 grain object at 10 ft per second= 1x 10 squared- 100. 1 grain at 20 fps, 1 x 20 squared- 400 1x 40 gr squared- 1600 etc. Rather steep curve there.

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15y ago

Its kinetic energy is quadupled - KE = (1/2)mv2. If you multiply v by two, then KE = (1/2)m(2v)2, or KE = (1/2)m(4)v2, or KE = 2mv2, 4 times the initial KE.

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13y ago

It will increase by a factor of 4 (2 squared).

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13y ago

When mass of object is doubled, then the potential energy will also double.

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15y ago

Quadrupled (4 times)

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14y ago

Quadrupled.

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13y ago

quadrupled

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Q: If the speed of a moving object is doubled the kinetic energy of the object is?
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