If an object with a mass of #5 kg # changes speed from #3m/s# to #16 m/s#, by how much does its kinetic energy change?

1 Answer
Oct 23, 2016

Answer:

#Delta E=617.5" Joules"#

Explanation:

#m:"mass"#

#v_i:"initial velocity"#

#v_f:"final velocity"#

#E_1=1/2m*v_i^2#

#E_2=1/2*m*v_f^2#

#Delta E=E_2-E_1#

#Delta E=1/2*m-v_f^2-1/2*m*v_i^2#

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

#Delta E=1/2*5*(16^2-3^2)#

#Delta E=5/2(256-9)#

#Delta E=5/2*247#

#Delta E=617.5 " Joules"#