A cart of mass 0.8 kg on a horizontal frictionless track has a tension of 4 N applied to on side of the cart. Calculate the acce
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Answer:
Approximately .
Explanation:
The change in the gravitational potential energy of the pendulum is directly related to the change in its height.
Refer to the sketch attached. The pendulum is initially at . Its highest point is at
. The length of segment
gives the change in its height.
The lengths of and
are simply the length of the string,
. To find the length of
, start by calculating the length of
.
forms a leg in the right triangle
. Besides, it is adjacent to the
angle
. Its length would be:
.
The length of would thus be
.
The change in gravitational potential energy can be found with the equation
. In this equation,
is the mass of the object,
near the surface of the earth, and
is the change in the object's height.
In this case, and
. Therefore:
.