If an object with a mass of #2 kg # changes speed from #14 m/s# to # 15m/s#, by how much does its kinetic energy change?

1 Answer
Jan 21, 2016

Answer:

Change in kinetic energy can be calculated using
#Delta E_k=1/2m(v_f^2-v_i^2)#

Explanation:

Kinetic energy is calculated using:

#E_k=1/2mv^2#
Change in #E_k# is just final minus initial, or
#Delta E_k=1/2mv_f^2-1/2mv_i^2#

which factors to

#Delta E_k=1/2m(v_f^2-v_i^2)#

So, in this case,

#Delta E_k=1/2 2kg(15^2-14^2)#

#Delta E_k=29J#