The coefficient of kinetic friction between the box and the floor will be [tex]\boxed{0.4}[/tex] .
Further Explanation:
Given:
The mass of the box is [tex]5\,{\text{kg}}[/tex] .
The force applied on the box is [tex]20\,{\text{N}}[/tex] .
The constant velocity at which the box moves is [tex]3\,{{\text{m}}\mathord{\left/{\vphantom{{\text{m}}{\text{s}}}}\right.\kern-\nulldelimiterspace}{\text{s}}}[/tex] .
Concept:
The box is pushed on the rough floor and due to this; the box will experience a friction force acting in the direction opposite to the motion of the box.
Since the box moves with a constant velocity of [tex]3\,{{\text{m}}\mathord{\left/{\vphantom{{\text{m}}{\text{s}}}}\right.\kern-\nulldelimiterspace}{\text{s}}}[/tex] , the acceleration of the box will be considered as zero.
From Newton’s second law of motion, as the acceleration of the box is zero, the net force acting on the box is zero.
[tex]\boxed{{F_{net}}=m\times a}[/tex]
The free-body diagram of the box moving on the rough floor is as shown in figure attached below.
From the above explanation, in order to make the net force zero, the friction acting on the box should be equal to the force applied on the box.
[tex]{F_{friction}}={F_{applied}}[/tex]
The friction force acting on the bxlock is:
[tex]\begin{aligned}{F_{friction}}&=\mu N\\&=\mu mg\\\end{aligned}[/tex]
Substitute the value of friction force in the above expression.
[tex]\begin{aligned}\mu mg&={F_{applied}}\\\mu\left({5\times10}\right)&=20\\\mu &=\frac{{20}}{{50}}\\&=0.4\\\end{aligned}[/tex]
Thus, the coefficient of kinetic friction between the box and the floor will be [tex]\boxed{0.4}[/tex].
Learn More:
1. A 30.0-kg box is being pulled across a carpeted floor by a horizontal force of 230 N https://brainly.com/question/7031524
2. Choose the 200 kg refrigerator. Set the applied force to 400 n (to the right). Be sure friction is turned off https://brainly.com/question/4033012
3. Which of the following is not a component of a lever https://brainly.com/question/1073452
Answer Details:
Grade: High School
Subject: Physics
Chapter: Friction
Keywords:
Horizontal 20N force, 5 kg box, push, a rough horizontal floor, constant velocity, friction force, coefficient of kinetic friction, box and the floor.
