Question

if the velocity of an object is increased by 20% by how much it's momentum increase

Answer 1

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%