Question

Question #2f990

Answer 1

Kinetic energy increases by 21%

Explanation:

`vec(p) = mvec(v)`

Assuming this increase occurs in the same direction we will just work with magnitudes. I've also assumed this is classical mechanics and that the mass remains constant.

`p = mv`

The object starts with `p_1 = mv_1` and ends with `p_2 = mv_2 = 1.1p_1`.

`(p_2)/(p_1) = (cancel(m)v_2)/(cancel(m)v_1) = (v_2)/(v_1)`

`therefore v_2 = v_1(p_2)/(p_1) = 1.1v_1`

Kinetic energy given by

`KE = 1/2mv^2`

`(KE_2)/(KE_1) = (cancel(1/2m)(v_2)^2)/(cancel(1/2m)(v_1)^2)`

`KE_2 = (1.1v_1)^2/(v_1)^2KE_1`

`KE_2 = 1.21KE_1`