Question

A bead is moving with a speed of 20 m/s at position A on the track shown in the
figure. This track is frictionless, and there is no air resistance. How does the total
mechanical energy compare at each of the labeled points?
A=200m b=0 C=160m
A) A B) A=B=C
C) A>B D) A>B>C

Answer 1

In absence of friction, at any point in the track, the total mechanical energy will be the same, A = B = C.

What is total mechanical energy

The total mechanical energy of an object is the sum of the kinetic energy and potential energy of the object.

M.A = P.E + K.E

$M.A = mgh + \frac{1}{2} mv^2$

The potential energy increases with increase in height (h).

The kinetic energy increases with increase in velocity.

In a closed or isolated system, the total mechanical energy is always conserved.

In absence of friction, at any point in the track, the total mechanical energy will be the same. Thus, A = B = C.

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