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 stop in 10 meter. During this

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 $\quad$ [NCERT Exemplar] (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 $\quad$ [NCERT Exemplar]
(a) $+2000 \mathrm{~J}$
(b) - $200 \mathrm{~J}$
(c) zero
(d) $-20,000 \mathrm{~J}$

Key Concepts

Work

Work is the energy transferred by a force acting through a displacement. It is calculated by the dot product of the force and the displacement, where only the component of the force in the direction of the displacement contributes. This concept is crucial for determining energy changes in mechanical systems.

Displacement at the Point of Force Application

The work done by a force depends on the displacement of the point where the force is applied. If no displacement occurs at that point, then no work is done, regardless of the force’s magnitude. This principle is essential for understanding situations where forces are present but do not perform work.

Newton's Third Law

Newton’s Third Law states that for every action, there is an equal and opposite reaction. In contexts where forces are exchanged between two bodies, this concept explains that forces come in pairs. However, work done by these forces can differ because it depends on the displacement of the points where the forces act.

Work-Energy Principle

The work-energy principle connects the work done on an object to its change in kinetic energy. It provides a framework to analyze how forces, by doing work (positive or negative), result in increases or decreases in an object’s kinetic energy. This principle highlights the importance of both the magnitude and direction of forces during displacement.

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