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how far do you skid before stopping if the kinetic friction force between your tires and the road is 1.1×104 n ? solve this problem using conservation of energy.

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Answer:

Ff (force of friction) = μ M g = 1.1E4 N the stopping force

1/2 M V^2 = Kinetic Energy - the energy that must be absorbed by the stopping force

Ff S = energy absorbed by force of friction

Ff S = 1/2 M V^2

S = 1/2 M V^2 / (μ M g) = V^2 / (2 μ g)

One needs to know the speed and coefficient of friction to solve numerically.

Using μ M g = 1.1E4 for the frictional force one also has

S = M V^2 / 2.2E4

Note that since the frictional force was given then M appears in the final result.

Normally, the distance is independent of M because it appears in both sides of the equation, but here it is included in the stopping force.

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