A car comes to a skidding stop in 15 m. The force on the car due to the road is 1000 N. The wo

step 1 In this question we have given a car that comes to skating stops in 15 meters and the force on t

A car comes to a skidding stop in 15 m. The force on the...

A car comes to a skidding stop in $15 \mathrm{~m}$. The force on the car due to the road is $1000 \mathrm{~N}$. The work done by road on the car and car on the road, respectively, is (A) $-15 \mathrm{~kJ}$, zero (B) zero, $15 \mathrm{~kJ}$ (C) $15 \mathrm{~kJ}$, zero (D) $-15 \mathrm{~kJ}, 15 \mathrm{~kJ}$

A car comes to a skidding stop in $15 \mathrm{~m}$. The force on the car due to the road is $1000 \mathrm{~N}$. The work done by road on the car and car on the road, respectively, is
(A) $-15 \mathrm{~kJ}$, zero
(B) zero, $15 \mathrm{~kJ}$
(C) $15 \mathrm{~kJ}$, zero
(D) $-15 \mathrm{~kJ}, 15 \mathrm{~kJ}$

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Key Concepts

Work

Work is a measure of energy transfer that occurs when a force causes a displacement. It is calculated as the dot product of the force and displacement vectors, meaning that the work can be positive, negative, or zero depending on the angle between these vectors.

Friction

Friction is a resistive force that acts opposite to the direction of motion between surfaces in contact. It typically does negative work on a moving object by reducing its kinetic energy, converting it into thermal energy in the process.

Newton's Third Law

Newton's Third Law states that for every action there is an equal and opposite reaction. This means that forces come in pairs; however, the work done by each force can differ if the points of application experience different displacements.

Work-Energy Theorem

The work-energy theorem relates the net work done on an object to its change in kinetic energy. This principle is essential when analyzing how forces such as friction bring a moving object to a stop by reducing its kinetic energy through negative work.

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