how much kinetic energy does a 7.2 kg dog need to make a vertical jump of 1.2 m

let us start from the potential energy

P.E =mgh

2.7 * 10 * 1.2 =32.4JOULES

the kinetic energy is therefore

 the sum of kinetic energy  and potential energy of an object is equal to zero

P.E + K.E =0

32.4 + K.E =0

THEREFORE

K.E= 32.4 JOULES

the dog need  32.4 joules of energy to jump to 1.2 meter height.