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Dynamics of Toboggan and Block on Ice

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A 4.0 kg toboggan rests on a frictionless icy surface, and a 2.0 kg block rests
on top of the toboggan. The coefficient of static friction µs between the block
and the surface of the toboggan is 0.58, whereas the kinetic friction
16.T op
coefficient is 0.48. The block is pulled by a horizontal force of 30 N as shown.
a. Calculate the block's acceleration.
b. Calculate the toboggan's acceleration
If the applied force is gradually reduced, at what value do the block
and the toboggan have the same acceleration?

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Solution Summary

We solve a problem in classical mechanics involving the dynamics of a block on a toboggan, which sits on ice.

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