Consider a bead starting at rest point L. It then slides along the frictionless

Question

Consider a bead starting at rest point L. It then slides along the frictionless wire to E. KE refers to the kinetic energy of the bead. PE refers to the gravitational potential energy of the bead. Total Energy refers to the total mechanical energy of the bead.

Tell whether each of the following is greater than, equal to, or less than.

1:The Total Energy of the bead at Point B is _____ the TE at H.

2:The KE of the bead at Point K is _____ the KE at G.
3:The PE of the bead at Point M is _____ the PE at B.
4:The KE of the bead at Point M is _____ the KE of the bead at Point F.

Explanation / Answer

P.E=potential energy, K.E=kinetic energy

As gravitational force is a conservative force, total mechanical energy is constant i.e P.E+K.E =constant

=>When P.E increases (i.e when height increases), K.E decreases

and

When P.E decreases (i.e when height decreases), K.E increases

1)equal to (since, total enery is always constant)

2)less than (point K is higher than G. Therefore, point K has high P.E and less K.E. P.E of G is less as height is less .Therefore , high K.E

3)less than (M at lower height than B => lower P.E than B)

4) equal to (equal heights =>equal P.E & equal K.E)

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