If an object with a mass of #2 kg # changes speed from #3 m/s# to #5 m/s#, by how much does its kinetic energy change?

1 Answer
Jan 3, 2016

I found #DeltaK=16J# from this we deduce that energy was added to the system allowing it to accelerate and so change the velocity.

Explanation:

Kinetic Energy #K# is given as:
#K=1/2mv^2#
The change in kinetic energy will be:
#DeltaK=1/2mv_f^2-1/2mv_i^2=1/2m(v_f^2-v_i^2)#
With our data:
#DeltaK=(1/cancel(2))cancel(2)(5^2-3^2)=25-9=16J#