Which equation expresses the conservation of mechanical energy in a system where the only forms of mechanical energy are kinetic energy and gravitational potential energy?

Answer 1

a.

1/2mvi2 + mghi = 1/2mvf2 + mghf

b.

1/2mvi2 + mghi + 1/2kxi2 = 1/2mvf2 + mghf + 1/2kxf2

c.

1/2mvi2 + 1/2kxi2 = 1/2mvf2 + 1/2kxf2

d.

MEi = MEf

Answer 2

In this case, the conservation of mechanical energy can be expressed as: ( KE_i + PE_i = KE_f + PE_f + W_{nc} ), where ( KE_i ) and ( PE_i ) are the initial kinetic and potential energies, ( KE_f ) and ( PE_f ) are the final kinetic and potential energies, and ( W_{nc} ) is the work done by non-conservative forces.

Answer 3

KE + PE = constant (Assuming that it is indeed constant! It is also possible for mechanical energy to be converted to, and from, other forms of energy.)

Answer 4

1/2g+1/2kxf=0