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A box of mass 15kg is pushed across a floor with a force of 50 N, If the coefficient of kinetic friction between the box and the floor is 0.2 , how much work done against friction over a distance of 10m?
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A box of mass 15kg is pushed across a floor with a force of 50 N, If t...
Understanding the Problem
To find the work done against friction while pushing the box, we first need to calculate the force of friction acting on the box. This force is determined by the coefficient of kinetic friction and the normal force.
Calculating the Normal Force
- The normal force (N) equals the weight of the box since it is on a horizontal surface.
- N = mass x gravity = 15 kg x 9.81 m/s² = 147.15 N
Calculating the Force of Friction
- The force of friction (f_friction) can be calculated using the formula:
- f_friction = coefficient of kinetic friction x normal force
- f_friction = 0.2 x 147.15 N = 29.43 N
Work Done Against Friction
- Work done against friction (W_friction) is calculated using the formula:
- W_friction = force of friction x distance
- W_friction = 29.43 N x 10 m = 294.3 J
Conclusion
The work done against friction while pushing the box over a distance of 10 meters is 294.3 Joules. This value represents the energy required to overcome the frictional force acting on the box due to the kinetic friction between the box and the floor.
To find the work done against friction while pushing the box, we first need to calculate the force of friction acting on the box. This force is determined by the coefficient of kinetic friction and the normal force.
Calculating the Normal Force
- The normal force (N) equals the weight of the box since it is on a horizontal surface.
- N = mass x gravity = 15 kg x 9.81 m/s² = 147.15 N
Calculating the Force of Friction
- The force of friction (f_friction) can be calculated using the formula:
- f_friction = coefficient of kinetic friction x normal force
- f_friction = 0.2 x 147.15 N = 29.43 N
Work Done Against Friction
- Work done against friction (W_friction) is calculated using the formula:
- W_friction = force of friction x distance
- W_friction = 29.43 N x 10 m = 294.3 J
Conclusion
The work done against friction while pushing the box over a distance of 10 meters is 294.3 Joules. This value represents the energy required to overcome the frictional force acting on the box due to the kinetic friction between the box and the floor.
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A box of mass 15kg is pushed across a floor with a force of 50 N, If the coefficient of kinetic friction between the box and the floor is 0.2 , how much work done against friction over a distance of 10m?
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A box of mass 15kg is pushed across a floor with a force of 50 N, If the coefficient of kinetic friction between the box and the floor is 0.2 , how much work done against friction over a distance of 10m? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A box of mass 15kg is pushed across a floor with a force of 50 N, If the coefficient of kinetic friction between the box and the floor is 0.2 , how much work done against friction over a distance of 10m? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A box of mass 15kg is pushed across a floor with a force of 50 N, If the coefficient of kinetic friction between the box and the floor is 0.2 , how much work done against friction over a distance of 10m?.
A box of mass 15kg is pushed across a floor with a force of 50 N, If the coefficient of kinetic friction between the box and the floor is 0.2 , how much work done against friction over a distance of 10m? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A box of mass 15kg is pushed across a floor with a force of 50 N, If the coefficient of kinetic friction between the box and the floor is 0.2 , how much work done against friction over a distance of 10m? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A box of mass 15kg is pushed across a floor with a force of 50 N, If the coefficient of kinetic friction between the box and the floor is 0.2 , how much work done against friction over a distance of 10m?.
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