A bicyclist comes to a skidding stop in 10 m. During this process, the force on the bicycle due

step 1 In this question we have given that a bicyclist comes to a skating and stops in 10 meter during

A bicyclist comes to a skidding stop in 10 m. During this...

A bicyclist comes to a skidding stop in $10 \mathrm{~m}$. During this process, the force on the bicycle due to the road is $200 \mathrm{~N}$ and is directly opposed to the motion. The work done by the cycle on the road is $(\mathrm{A})+2000 \mathrm{~J}$ (B) $-200 \mathrm{~J}$ (C) Zero (D) $-20,000 \mathrm{~J}$

A bicyclist comes to a skidding stop in $10 \mathrm{~m}$. During this process, the force on the bicycle due to the road is $200 \mathrm{~N}$ and is directly opposed to the motion. The work done by the cycle on the road is
$(\mathrm{A})+2000 \mathrm{~J}$
(B) $-200 \mathrm{~J}$
(C) Zero
(D) $-20,000 \mathrm{~J}$

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Key Concepts

Point of Application Displacement

The work done by a force depends critically on the displacement of the point at which the force is applied. In many situations, although forces are exchanged between bodies, if the point of contact on one of the bodies (such as the road) does not move relative to that body, the force does no work on that body.

Newton’s Third Law of Motion

Newton’s Third Law states that for every action, there is an equal and opposite reaction. When analyzing work, it is important to distinguish between the force applied by one body and the displacement of the force’s point of application on the other body, as action-reaction pairs do not imply that work is equally transferred between the two bodies.

Work

Work is a measure of energy transfer that happens when a force acts on an object causing displacement. It is defined as the dot product of the force vector and the displacement vector of the point where the force is applied. Without displacement in the direction of the force, no work is done regardless of the force’s magnitude.

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