Disks A and B are identical and roll across a floor with equal speeds. Then disk A rolls up an incline, reaching a maximum height h, and disk B moves up an incline that is identical except that it is frictionless. Is the maximum height reached by disk B greater than, less than, or equal to h?

Question

Physics

Brittany Sosa

29 December, 16:19

Disks A and B are identical and roll across a floor with equal speeds. Then disk A rolls up an incline, reaching a maximum height h, and disk B moves up an incline that is identical except that it is frictionless. Is the maximum height reached by disk B greater than, less than, or equal to h?

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Answers (1)

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Mitch · Answer 1

Greater than h

Explanation:

Since, Disks A and B are identical and roll across a floor with equal speed, they would start up on the incline with equal kinetic energies. Disk A reaches a maximum height of h. Disk B moves up the incline which is friction less.

Due to incline being friction less, there will be no dissipation of energy due to friction which would occur for Disk A as it rolls up the incline. Thus, Disk B would roll up to a height greater than h.