A smooth sphere is moving on a horizontal surface with a velocity vector (2 ^ i + 2 ^ j )ms^ - 1 ~immediately before it hits a vertical wall. The wall is parallel to the vector ^ j ~and the coefficient of restitution

Correct answer: B. - ^ i + 2 ^ j (1)/(2) = 0 - v _ x 2 v _ x = - 1 → v = - ^ i + 2 ^ j

NTA Abhyas 2020

Exam: NTA Abhyas
Year: 2020
Subject: Physics
Chapter: Center of Mass, Momentum and Collision

NTA Abhyas 2020 · Physics · Center of Mass, Momentum and Collision

A smooth sphere is moving on a horizontal surface with a velocity...

A smooth sphere is moving on a horizontal surface with a velocity vector $\left(2\overset{^}{i} + 2\overset{^}{j}\right)ms^{- 1}$ ~immediately before it hits a vertical wall. The wall is parallel to the vector $\overset{^}{j}$ ~and the coefficient of restitution between the sphere and the wall is $e = \dfrac{1}{2}$ . The velocity of the sphere, after it hits the wall, is

Options

A $\overset{^}{i} - \overset{^}{j}$
B $- \overset{^}{i} + 2 \overset{^}{j}$
C $- \overset{&Hat;}{i} - \overset{&Hat;}{j}$
D $2 \overset{&Hat;}{i} - \overset{&Hat;}{j}$

Correct answer

B. $- \overset{^}{i} + 2 \overset{^}{j}$

Step-by-step solution

\dfrac{1}{2} = \dfrac{0 - {v}_{x}}{2}

{v}_{x} = - 1

\overset{→}{v} = - \overset{^}{i} + 2\overset{^}{j}

Practice Center of Mass, Momentum and Collision on Quantrex Academy →

More from Center of Mass, Momentum and Collision

Two identical bodies A and B of equal masses have initial velocities v_1 = 4 i m/s and… JEE Main 2026 The position of center of mass of three masses 2 kg, 3 kg and 15 kg placed with respect… JEE Main 2026 Two blocks of masses 2 kg and 1 kg respectively, are tied to the ends of a string which… JEE Main 2026 The position of an object having mass 0.1 kg as a function of time t is given as r =… JEE Main 2026 A body of mass 14 kg initially at rest explodes and breaks into three fragments of masses… JEE Main 2026 In a perfectly inelastic collision, two spheres made of the same material with masses 15… JEE Main 2026 Given below are two statements : Statement I : For a mechanical system of many particles… JEE Main 2026 In a scattering experiment, a particle of mass 2 m collides with another particle of mass… JEE Advanced 2025 Full Center of Mass, Momentum and Collision list All NTA Abhyas JEE Main PYQs