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If the momentum of an object is increased by 10% then its kinetic energy will be increased by |
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Answer» Answer: MOMENTUM = velocity × MASS. I’m assuming mass stays constant throughout the transformation, so the difference in momentum is due to changes in velocity. A 10% increase in momentum translates to a 10% increase in velocity, which we can then put into the KE formula (1/2)(m)(v^2). Because v(initial) ×1.1 = v(final) the formula BECOMES 0.5 × m × (1.1v)^2 = 1.21 (0.5mv^2) = 1.21 KE Thus a 10% increase in momentum becomes a 21% increase in KE. |
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