A car travelling at a speed of 30 km / h is brought to a halt in 8 meters by applying brakes. I

Name: Problem 349, Chapter 3: JEE Physics
Uploaded: 2021-10-03T10:22:41-08:00
Duration: 3 min 11 s
Channel: Vysakh M
Description: A car travelling at a speed of 30 km / h is brought to a halt in 8 meters by applying brakes. If the same car is travelling at 60 km / h it can be brought to a halt with the same breaking power in (A) 8 m (B) 16 m (C) 24 m (D) 32 m

step 1 Hi, student. Welcome to the solution of problem number 349. See, a car is moving at a speed of 3

Question

A car travelling at a speed of $30 \mathrm{~km} / \mathrm{h}$ is brought to a halt in 8 meters by applying brakes. If the same car is travelling at $60 \mathrm{~km} / \mathrm{h}$ it can be brought to a halt with the same breaking power in (A) $8 \mathrm{~m}$ (B) $16 \mathrm{~m}$ (C) $24 \mathrm{~m}$ (D) $32 \mathrm{~m}$

    A car travelling at a speed of $30 \mathrm{~km} / \mathrm{h}$ is brought to a halt in 8 meters by applying brakes. If the same car is travelling at $60 \mathrm{~km} / \mathrm{h}$ it can be brought to a halt with the same breaking power in
(A) $8 \mathrm{~m}$
(B) $16 \mathrm{~m}$
(C) $24 \mathrm{~m}$
(D) $32 \mathrm{~m}$

JEE Physics

StemEZ 1st Edition

Chapter 3, Problem 349

Instant Answer

Solved by Expert Vysakh M

10/03/2021

Step 1

This can be written as: \[W = \Delta KE\] where $W$ is the work done, $\Delta KE$ is the change in kinetic energy. Show more…

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A car travelling at a speed of $30 \mathrm{~km} / \mathrm{h}$ is brought to a halt in 8 meters by applying brakes. If the same car is travelling at $60 \mathrm{~km} / \mathrm{h}$ it can be brought to a halt with the same breaking power in (A) $8 \mathrm{~m}$ (B) $16 \mathrm{~m}$ (C) $24 \mathrm{~m}$ (D) $32 \mathrm{~m}$

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Key Concepts

Kinematics and Uniform Deceleration

This concept deals with the motion of objects under constant acceleration or deceleration. By applying kinematic equations, especially the relation v² = u² + 2as, one can determine the stopping distance given an initial velocity and constant deceleration. This principle is fundamental in analyzing how changes in speed affect the distance needed to come to a halt.

Kinetic Energy and the Work-Energy Principle

Kinetic energy, described by the equation (1/2)mv², increases with the square of the velocity. The work-energy principle states that the work done by friction (or braking force) is equal to the reduction in kinetic energy. Consequently, when speed is doubled, the kinetic energy—and hence the braking distance—quadruples if the braking force remains constant.

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