Question

A body of mass $3 \mathrm{~kg}$ is acted on by a force which varies as shown in the graph below. The momentum acquired is given by (given initial momentum $=0$ ) (A) Zero (B) $5 \mathrm{~N} / \mathrm{s}$ (C) $30 \mathrm{~N} / \mathrm{s}$ (D) $50 \mathrm{~N} / \mathrm{s}$

Name: Problem 22, Chapter 5: A Complete Resource Book in Physics for JEE Main
Uploaded: 2021-10-04T14:28:12-08:00
Duration: 2 min 18 s
Channel: Dheeraj Sharma
Description: A body of mass 3 kg is acted on by a force which varies as shown in the graph below. The momentum acquired is given by (given initial momentum =0 ) (A) Zero (B) 5 N / s (C) 30 N / s (D) 50 N / s

   A body of mass $3 \mathrm{~kg}$ is acted on by a force which varies as shown in the graph below. The momentum acquired is given by (given initial momentum $=0$ )
(A) Zero
(B) $5 \mathrm{~N} / \mathrm{s}$
(C) $30 \mathrm{~N} / \mathrm{s}$
(D) $50 \mathrm{~N} / \mathrm{s}$

A Complete Resource Book in Physics for JEE Main

Sanjeev Kumar 1st Edition

Chapter 5, Problem 22

Instant Answer

Solved by Expert Dheeraj Sharma

10/04/2021

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The momentum can be found by calculating the area under the force versus time graph. Show more…

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A body of mass $3 \mathrm{~kg}$ is acted on by a force which varies as shown in the graph below. The momentum acquired is given by (given initial momentum $=0$ ) (A) Zero (B) $5 \mathrm{~N} / \mathrm{s}$ (C) $30 \mathrm{~N} / \mathrm{s}$ (D) $50 \mathrm{~N} / \mathrm{s}$

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Key Concepts

Impulse-Momentum Theorem

The impulse-momentum theorem states that the impulse applied to an object equals the change in its momentum. This relationship connects the effect of a force acting for a certain duration with the resulting change in the object's motion.

Area Under a Force-Time Graph

In a force versus time graph, the impulse delivered to an object is represented by the area under the curve. Calculating this area, even if the force is variable, provides the total impulse imparted, which directly relates to the change in momentum.

Impulse

Impulse is the product of force acting over a period of time, defined mathematically as the integral of a force function with respect to time. It quantifies the total effect of the force on an object's motion over a given interval.

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