Question #2f990

1 Answer
Jul 22, 2016

Answer:

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#