Part C If the zero level is a distance 2h/3 above the floor, what is the potential energy U of the block on the floor? Express your answer in terms of some or all the variables m, v, and h and any appropriate constants. ANSWER: U = Part D Considering that the potential energy of the block at the table is mgh/3 and that on the floor is -2mgh/3, what is the change in potential energy AU of the block if it is moved from the table to the floor? Express your answer in terms of some or all the variables m, v, and h and any appropriate constants. Hint 1. Definition of AU By definition, the change in potential energy is given by AU = Ut - Uj. In general, change is always defined as the "final" quantity minus the "initial" one. ANSWER: AU =
Part C If the zero level is a distance 2h/3 above the floor, what is the potential energy U of the block on the floor? Express your answer in terms of some or all the variables m, v, and h and any appropriate constants. ANSWER: U = Part D Considering that the potential energy of the block at the table is mgh/3 and that on the floor is -2mgh/3, what is the change in potential energy AU of the block if it is moved from the table to the floor? Express your answer in terms of some or all the variables m, v, and h and any appropriate constants. Hint 1. Definition of AU By definition, the change in potential energy is given by AU = Ut - Uj. In general, change is always defined as the "final" quantity minus the "initial" one. ANSWER: AU =
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Question
Transcribed Image Text:a distance h/3 above the floor
a distance h/3 below the floor
O a distance 2h/3 above the floor
a distance 2h/3 below the floor
on the floor
Part C
If the zero level is a distance 2h/3 above the floor, what is the potential energy U of the block on the floor?
Express your answer in terms of some or all the variables m, v, and h and any appropriate constants.
ANSWER:
U =
Part D
Considering that the potential energy of the block at the table is mgh/3 and that on the floor is –2mgh/3, what is the change in potential energy AU of the block if it is moved
from the table to the floor?
Express your answer in terms of some or all the variables m, v, and h and any appropriate constants.
Hint 1. Definition of AU
By definition, the change in potential energy is given by AU = Uf – Uj. In general, change is always defined as the "final" quantity minus the "initial" one.
ANSWER:
AU =
Transcribed Image Text:In this problem, we will consider the following situation as depicted in the diagram : A block of mass m slides at a speed v
along a horizontal, smooth table. It next slides down a smooth ramp, descending a height h, and then slides along a
horizontal rough floor, stopping eventually. Assume that the block slides slowly enough so that it does not lose contact with
the supporting surfaces (table, ramp, or floor). You will analyze the motion of the block at different moments using the law of
conservation of energy.
m
Vr = 0
Part A
Which word in the statement of this problem allows you to assume that the table is frictionless?
ANSWER:
straight
smooth
O horizontal
Part B
Suppose the potential energy of the block at the table
given by mgh/3. This implies that the chosen zero level of potential energy is
Hint 1. Definition of U
Gravitational potential energy is given by U = mgh,where h is the height relative to the zero level. Note that h > 0 when the object is above the chosen zero level;
h < 0 when the object is below the chosen zero level.
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