Conservation of Energy Ranking Task Six pendulums of various masses m are released from various heights h above a tabletop, as shown in the figures below. All the pendulums have the same length and are mounted such that at the vertical position their lowest points are the height of the tabletop and just do not strike the tabletop when released. Assume that the size of each bob is negligible.
Rank each pendulum on the basis of its initial gravitational potential energy (before being released) relative to the tabletop.
Rank from largest to smallest To rank items as equivalent, overlap them.
Homework Answers
The concept used to solve this problem is gravitational potential energy.
Find the gravitational potential energy in each of the six cases and arrange in the increasing order of gravitational potential energy.
The gravitational potential energy is the energy that an object possesses due to its position above the surface of the earth.
The equation for gravitational potential energy is,
Here gravitational potential energy is 
, mass is 
, acceleration due to gravity is
and height is 
.
The gravitational potential energy is,
Substituting 
for 
, 
for 
and 
for 
.
The gravitational potential energy is given by the expression
Substituting 
for , 
for and for .
The gravitational potential energy is given by the expression
Substituting 
for , 
for and 
for .
The gravitational potential energy is given by the expression
Substituting 
for , 
for and for .
The gravitational potential energy is given by the expression
Substituting 
for , 
for and 
for .
The gravitational potential energy is given by the expression
Substituting 
for , 
for and 
for .
The gravitational potential energy can be arranged in the increasing order as follows:
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