What happens to the kinetic energy of an object if we halve the velocity?
1 Answer
Dec 16, 2017
See below.
Explanation:
Kinetic energy is given by
where
If we halve the object's velocity, we're saying that the final velocity is
So, initially we would have
#K_f=1/2mv_f^2#
#=1/2m*(1/2v_i)^2#
Note that the entire quantity—including both the
#=>1/2m*1/4v_i^2#
Rearranging:
#=>1/4(1/2mv_i^2)#
#=1/4K_i#