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 4.60m, object 2 has mass 1.71m, 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. If the objects are then relocated as shown, what is the new total potential energy of the system? Each answer requires the numerical coefficient to an algebraic 3 expression. Each algebraic expression is given using 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) Ug.system mgd 2.

Principles of Physics: A Calculus-Based Text
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Chapter5: More Applications Of Newton’s Laws
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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 4.60m, object 2 has mass 1.71m,
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. If the objects are then
relocated as shown, what is the new total potential energy of
the system?
Each answer requires the numerical coefficient to an algebraic
3
expression. Each algebraic expression is given using 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)
Ug.system =
mgd
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 4.60m, object 2 has mass 1.71m, 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. If the objects are then relocated as shown, what is the new total potential energy of the system? Each answer requires the numerical coefficient to an algebraic 3 expression. Each algebraic expression is given using 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) Ug.system = mgd
This potential energy was calculated relative to the bottom of
the stairs. If you were to redefine the reference height such
that the total potential energy of the system became zero, how
high above the bottom of the stairs would the new reference
height be?
d
Now, find a new reference height (measured again from the
bottom of the stairs) such that the highest two objects have
the exact same potential energy.
d
Transcribed Image Text:This potential energy was calculated relative to the bottom of the stairs. If you were to redefine the reference height such that the total potential energy of the system became zero, how high above the bottom of the stairs would the new reference height be? d Now, find a new reference height (measured again from the bottom of the stairs) such that the highest two objects have the exact same potential energy. d
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