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1.
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Watch out!
In the action adventure film
Indiana Jones and the Raiders of the Lost Ark
, Indiana Jones searches for
the Ark of the Covenant. In one well-known nail biting scene Indiana tries to escape being crushed by a
huge boulder rolling down a sloping terrain inside a tunnel. The rolling boulder of mass
m
rolls down the
only path that Indiana Jones can take. Assume that the friction force between the sphere and the
surface of the hill is negligible.
At a particular time
t
1
the spherical boulder is at location 1 and moving with velocity
v
1
. At a later time
t
2
the sphere is at location 2 and moving with velocity
v
2
. Locations 1 and 2 are at vertical heights
h
and
h
2
respectively, from the bottom of the tunnel.
When answering the following questions use 1 and 2 for subscripts to identify the different variables at
the two different locations.
Part (a)
What is the equation for the potential energy
U
1
of the spherical boulder? (Use any variable or symbol
stated above along with the following as necessary:
g
.)
U
1
=
$$
m
·
g
·
h
1
Part (b)
What is the equation for the translational kinetic energy
K
T,1
of the spherical boulder?
1
Lab 4 - Conservation of Mechanical Energy: PreLab (PreLab)
Shivali Patel
PY 211, section 216, Spring 2016
Instructor: Alexander Thomas Fullmer
WebAssign
The due date for this assignment is past.
Your work can be viewed below, but no changes can be made.

2
1
2

Part (d)
What is the equation for the total kinetic energy
K
total,1
of the spherical boulder in terms of its linear
speed?

Part (c)
What is the equation for the rotational kinetic energy
K
R,1
of the spherical boulder? (Select all that
apply.)
2
5
2
2
2

Part (e)
You can write a similar expression for the potential energy
U
2
and the total kinetic energy
K
total,2
of the
spherical boulder when it is at location 2.
A reasonable choice for the initial location 1 would be the point where the spherical boulder starts from
rest; i.e. where the sphere has zero initial velocity.
Use this fact and your answers to parts (a), (b), (c), and (d) to write the mathematical equation for the
conservation of mechanical energy in terms of the mass, velocity, height and
g
. Keep the kinetic energy
terms on the left and the potential energy terms on the right. Include only non-zero terms. (Use any
variable or symbol stated above along with the following as necessary:
g
.)

Part (f)
Now compare the above situation to the inclined plane experiment you will be performing in this lab.