Question

The relationship between the force $F$ and position $x$ of a body is as shown in figure. The work done in displacing the body for $x=1 \mathrm{~m}$ to $x=5 \mathrm{~m}$ will be: (a) $30 \mathrm{~J}$ (b) $15 \mathrm{~J}$ (c) $25 \mathrm{~J}$ (d) $20 \mathrm{~J}$

Name: Problem 45, Chapter 4: Objective Physics : NEET 2020 Examination textbook Gurukul Oswal
Uploaded: 2021-09-30T15:21:47-08:00
Duration: 3 min 35 s
Channel: Dheeraj Sharma
Description: The relationship between the force F and position x of a body is as shown in figure. The work done in displacing the body for x=1 m to x=5 m will be: (a) 30 J (b) 15 J (c) 25 J (d) 20 J

   The relationship between the force $F$ and position $x$ of a body is as shown in figure. The work done in displacing the body for $x=1 \mathrm{~m}$ to $x=5 \mathrm{~m}$ will be:
(a) $30 \mathrm{~J}$
(b) $15 \mathrm{~J}$
(c) $25 \mathrm{~J}$
(d) $20 \mathrm{~J}$

Objective Physics : NEET 2020 Examination textbook Gurukul Oswal

Gurukul Oswal… 2020 Edition

Chapter 4, Problem 45

Instant Answer

Solved by Expert Dheeraj Sharma

09/30/2021

Step 1

The work done is given by the area under the force-position graph. Show more…

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The relationship between the force $F$ and position $x$ of a body is as shown in figure. The work done in displacing the body for $x=1 \mathrm{~m}$ to $x=5 \mathrm{~m}$ will be: (a) $30 \mathrm{~J}$ (b) $15 \mathrm{~J}$ (c) $25 \mathrm{~J}$ (d) $20 \mathrm{~J}$

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Key Concepts

Force-Displacement Graph

A force-displacement graph visually represents how force varies with position. The area under the curve on such a graph corresponds to the work done on or by an object, making it a crucial tool for understanding energy transfer under variable forces.

Integration in Physics

Integration is the mathematical process of summing infinitesimal contributions to compute a total quantity. In the context of work, integration is used to sum the product of force and differential displacement over an interval, which is equivalent to calculating the area under the force versus displacement curve.

Work Done

Work in physics is the energy transferred when a force acts over a displacement. It is defined as the integral of the force over the change in position, and when the force varies with position, the work can be calculated as the area under the force versus displacement graph.

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