If a minimum force of 500 N is required to move a box of mass 100 kg resting on a horizontal f

Name: Problem 99, Chapter 4: IIT JEE Super Course in Physics: Mechanics I
Uploaded: 2021-06-11T17:06:09-08:00
Duration: 1 min
Channel: Ajay Singhal
Description: If a minimum force of 500 N is required to move a box of mass 100 kg resting on a horizontal floor, the coefficient of friction between the box and the floor is (g=10 m s^-2) (a) (3)/(4) (b) (1)/(√(3)) (c) (1)/(√(2)) (d) (2)/(3)

step 1 So in this question we have minimum force F minimum that is equals to 500 Newton which is requir

Question

If a minimum force of $500 \mathrm{~N}$ is required to move a box of mass $100 \mathrm{~kg}$ resting on a horizontal floor, the coefficient of friction between the box and the floor is $\left(\mathrm{g}=10 \mathrm{~m} \mathrm{~s}^{-2}\right)$ (a) $\frac{3}{4}$ (b) $\frac{1}{\sqrt{3}}$ (c) $\frac{1}{\sqrt{2}}$ (d) $\frac{2}{3}$

   If a minimum force of $500 \mathrm{~N}$ is required to move a box of mass $100 \mathrm{~kg}$ resting on a horizontal floor, the coefficient of friction between the box and the floor is $\left(\mathrm{g}=10 \mathrm{~m} \mathrm{~s}^{-2}\right)$
(a) $\frac{3}{4}$
(b) $\frac{1}{\sqrt{3}}$
(c) $\frac{1}{\sqrt{2}}$
(d) $\frac{2}{3}$

IIT JEE Super Course in Physics: Mechanics I

Trishna Knowledge… 1st Edition

Chapter 4, Problem 99

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Solved by Expert Ajay Singhal

06/11/2021

Step 1

The box has a mass $m$ of 100 kg. We are asked to find the coefficient of friction $\mu$ between the box and the floor. Show more…

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If a minimum force of $500 \mathrm{~N}$ is required to move a box of mass $100 \mathrm{~kg}$ resting on a horizontal floor, the coefficient of friction between the box and the floor is $\left(\mathrm{g}=10 \mathrm{~m} \mathrm{~s}^{-2}\right)$ (a) $\frac{3}{4}$ (b) $\frac{1}{\sqrt{3}}$ (c) $\frac{1}{\sqrt{2}}$ (d) $\frac{2}{3}$

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Key Concepts

Static Friction

Static friction is the force that resists the onset of sliding motion between two surfaces that are in contact. It acts up to a maximum value, which is proportional to the normal force, and must be exceeded by any applied force to initiate movement.

Normal Force

The normal force is the force exerted by a surface to support the weight of an object resting on it. On a horizontal surface with no other vertical forces, it is equal in magnitude to the gravitational force acting on the object.

Coefficient of Friction

The coefficient of friction is a dimensionless number that characterizes the frictional resistance between two surfaces. It is defined as the ratio of the maximum static friction force to the normal force acting between the surfaces.

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