Question

A ball of mass $m$, travelling with velocity $2 \hat{i}+3 \hat{j}$ receives an impulse $-3 m \hat{i}$. What is the velocity of the ball immediately afterwards?

   A ball of mass $m$, travelling with velocity $2 \hat{i}+3 \hat{j}$ receives an impulse $-3 m \hat{i}$. What is the velocity of the ball immediately afterwards?

Practice Problem in Physics for the JEE Main and Advanced

Practice Problem in Physics for the JEE Main and Advanced

Abhay Kumar 2015 Edition

Chapter 6, Problem 38

Instant Answer

Solved by Expert Hast Aggarwal

01/19/2022

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Step 1: The initial velocity of the ball is given by $v_i = 2 \hat{i}+3 \hat{j}$. Show more…

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A ball of mass $m$, travelling with velocity $2 \hat{i}+3 \hat{j}$ receives an impulse $-3 m \hat{i}$. What is the velocity of the ball immediately afterwards?

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Key Concepts

Impulse

Impulse is a vector quantity that measures the effect of a force acting over a time interval; it results in a change in an object's momentum. Understanding impulse is crucial in dynamics because it directly relates to how forces affect motion.

Momentum

Momentum is the product of an object's mass and its velocity, representing the quantity of motion possessed by the object. It is a conserved quantity in closed systems and plays a fundamental role in analyzing collisions and impulse effects in mechanics.

Impulse-Momentum Theorem

The impulse-momentum theorem states that the impulse applied to an object is equal to the change in its momentum. This relationship connects the force acting over a period of time to the resulting change in velocity, making it a key principle in studying the dynamics of moving objects.

Vector Addition

Vector addition is the process of combining vectors, taking into account both magnitude and direction. This concept is essential in physics when handling quantities like velocity and impulse, as it allows for the correct calculation of resultant vectors in multi-dimensional motion.

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