If the objects are positioned on the steps as shown, what is gravitational potential energy Ug,system of the system? If you redefine the reference height such that the total potential energy of the system is zero, how high ho above the bottom of the stairs is the new reference height? Now, find a new reference height h' (measured from the base of the stairs) such that the highest two objects have the exact same gravitational potential energy. U g,system ho = h = = mgd d d

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter8: Conservation Of Energy
Section: Chapter Questions
Problem 12PQ
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Three different objects, all with different masses, are initially
at rest at the bottom of a set of steps. Each step is of uniform
height d. The mass of each object is a multiple of the base
mass m: object 1 has mass 4.90m, object 2 has mass 2.46m,
and object 3 has mass m. When the objects are at the bottom
of the steps, define the total gravitational potential energy of
the three-object system to be zero.
Each answer requires the numerical coefficient to an
algebraic expression that uses some combination of the
variables m, g, and d, where g is the acceleration due to
gravity. Enter only the numerical coefficient. (Example: If the
answer is 1.23mgd, just enter 1.23)
2
Transcribed Image Text:Three different objects, all with different masses, are initially at rest at the bottom of a set of steps. Each step is of uniform height d. The mass of each object is a multiple of the base mass m: object 1 has mass 4.90m, object 2 has mass 2.46m, and object 3 has mass m. When the objects are at the bottom of the steps, define the total gravitational potential energy of the three-object system to be zero. Each answer requires the numerical coefficient to an algebraic expression that uses some combination of the variables m, g, and d, where g is the acceleration due to gravity. Enter only the numerical coefficient. (Example: If the answer is 1.23mgd, just enter 1.23) 2
If the objects are positioned on the steps as shown, what is
g.system of the system?
gravitational potential energy Ug
If you redefine the reference height such that the total
potential energy of the system is zero, how high ho above the
bottom of the stairs is the new reference height?
Now, find a new reference height h (measured from the base
of the stairs) such that the highest two objects have the exact
same gravitational potential energy.
Ug,system =
ho =
h' =
mgd
d
d
Transcribed Image Text:If the objects are positioned on the steps as shown, what is g.system of the system? gravitational potential energy Ug If you redefine the reference height such that the total potential energy of the system is zero, how high ho above the bottom of the stairs is the new reference height? Now, find a new reference height h (measured from the base of the stairs) such that the highest two objects have the exact same gravitational potential energy. Ug,system = ho = h' = mgd d d
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