Chapter 8 Rotational Kinetic Energy and Conservation of Energy Ranking Task 15 o

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Chapter 8

Rotational Kinetic Energy and Conservation of Energy Ranking Task

15 of 21

Constants

The five objects of various masses, each denoted m, all have the same radius. They are all rolling at the same speed as they approach a curved incline.

Part A

Rank the objects based on the maximum height they reach along the curved incline.

Rank from largest to smallest. To rank items as equivalent, overlap them.

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smallest

largest

solid sphere?????????m=1.0kg

solid disk??????????m=0.5kg

solid cylinder???????????m=0.2kg

hollow sphere???????????m=0.2kg

hoop?????????m=0.2kg

The correct ranking cannot be determined.

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Approach the problem through conservation of energy. Notice that when you equate the initial energy (kinetic and rotational kinetic) and the final potential energy, you are equating two quantities that are both proportional to the mass. Therefore, the mass will cancel from the equation.

If a solid disk and a solid cylinder are of equal mass and radius, they will have the same moment of inertia.

If two of the objects reach the same height, stack the cards for the two objects to indicate this equality.Provide Feedback

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Incorrect. Incorrect; Try Again; 5 attempts remaining; no points deducted. Feedback.

Approach the problem through conservation of energy. Notice that when you equate the initial energy (kinetic and rotational kinetic) and the final potential energy, you are equating two quantities that are both proportional to the mass. Therefore, the mass will cancel from the equation.

If a solid disk and a solid cylinder are of equal mass and radius, they will have the same moment of inertia.

If two of the objects reach the same height, stack the cards for the two objects to indicate this equality. End of feedback.

?

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smallest

largest

solid sphere?????????m=1.0kg

solid disk??????????m=0.5kg

solid cylinder???????????m=0.2kg

hollow sphere???????????m=0.2kg

hoop?????????m=0.2kg

The correct ranking cannot be determined.

Explanation / Answer

by using conservation of energy,

1/2*m*v^2 + 1/2*I*w^2 = m*g*h

===> h=(m*v^2 + I*w^2)/(2*m*g)

here,

height(H) is depends on only I

and

the ranking of moment of inertia,

I_loop > I_hollow sphere > I_solid cylinder = I_solid disc > I solid sphere

the ranking of height,

h_loop > h_hollow sphere >h_solid cylinder = h_solid disc > h_solid sphere

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