If momentum of an object is increased by 10 %, then its kinetic energy will increase by
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It will be increased by 21%.
Let the initial mass of the body be m and its velocity be v.
Initial momentum of the body = mv
Initial KE = mv^2/2 If the momentum increases by 10%, new momentum = mv + 10% of mv = mv + 10/100mv = mv + mv/10 =11mv/10 =m(11v/10)
New velocity = 11v/10 Increase in velocity =v/10 New KE = m(11v/10)^2/2 = 121/100mv^2/2 Increase in KE = 21%
Let the initial mass of the body be m and its velocity be v.
Initial momentum of the body = mv
Initial KE = mv^2/2 If the momentum increases by 10%, new momentum = mv + 10% of mv = mv + 10/100mv = mv + mv/10 =11mv/10 =m(11v/10)
New velocity = 11v/10 Increase in velocity =v/10 New KE = m(11v/10)^2/2 = 121/100mv^2/2 Increase in KE = 21%
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