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A block of mass m is pulled along a horizontal surface by applying a force at an angle o with horizontal. If the block travels with a uniform velocity and has a displacement d and the coefficient of friction is c, then the work done by the applied force is?
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A block of mass m is pulled along a horizontal surface by applying a f...
Problem Statement: A block of mass m is pulled along a horizontal surface by applying a force at an angle o with horizontal. If the block travels with a uniform velocity and has a displacement d and the coefficient of friction is c, then the work done by the applied force is?
Solution:
Understanding the problem:
The problem states that a block is being pulled on a horizontal surface by applying a force at an angle o with horizontal. The block moves with a uniform velocity and has a displacement d. The coefficient of friction is c. We need to calculate the work done by the applied force.
Calculating the work done:
The work done by the applied force can be calculated using the formula,
Work done = Force x Displacement x cos(theta)
where,
Force = Applied force - Frictional force
Displacement = d
theta = Angle between the applied force and the displacement
The frictional force can be calculated as,
Frictional force = c x Normal force
where,
Normal force = Force perpendicular to the surface = mg
So,
Frictional force = c x mg
Therefore,
Force = Applied force - c x mg
Now, we can substitute the values in the formula for work done to get,
Work done = (Applied force - c x mg) x d x cos(theta)
Since the block moves with a uniform velocity, the net force acting on it is zero. Therefore,
Applied force = Frictional force
So,
Work done = Frictional force x d x cos(theta)
Substituting the values,
Work done = (c x mg) x d x cos(theta)
Hence, the work done by the applied force is c x m x g x d x cos(theta).
Final Answer: The work done by the applied force is c x m x g x d x cos(theta).
Solution:
Understanding the problem:
The problem states that a block is being pulled on a horizontal surface by applying a force at an angle o with horizontal. The block moves with a uniform velocity and has a displacement d. The coefficient of friction is c. We need to calculate the work done by the applied force.
Calculating the work done:
The work done by the applied force can be calculated using the formula,
Work done = Force x Displacement x cos(theta)
where,
Force = Applied force - Frictional force
Displacement = d
theta = Angle between the applied force and the displacement
The frictional force can be calculated as,
Frictional force = c x Normal force
where,
Normal force = Force perpendicular to the surface = mg
So,
Frictional force = c x mg
Therefore,
Force = Applied force - c x mg
Now, we can substitute the values in the formula for work done to get,
Work done = (Applied force - c x mg) x d x cos(theta)
Since the block moves with a uniform velocity, the net force acting on it is zero. Therefore,
Applied force = Frictional force
So,
Work done = Frictional force x d x cos(theta)
Substituting the values,
Work done = (c x mg) x d x cos(theta)
Hence, the work done by the applied force is c x m x g x d x cos(theta).
Final Answer: The work done by the applied force is c x m x g x d x cos(theta).
Community Answer
A block of mass m is pulled along a horizontal surface by applying a f...
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A block of mass m is pulled along a horizontal surface by applying a force at an angle o with horizontal. If the block travels with a uniform velocity and has a displacement d and the coefficient of friction is c, then the work done by the applied force is?
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A block of mass m is pulled along a horizontal surface by applying a force at an angle o with horizontal. If the block travels with a uniform velocity and has a displacement d and the coefficient of friction is c, then the work done by the applied force is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A block of mass m is pulled along a horizontal surface by applying a force at an angle o with horizontal. If the block travels with a uniform velocity and has a displacement d and the coefficient of friction is c, then the work done by the applied force is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A block of mass m is pulled along a horizontal surface by applying a force at an angle o with horizontal. If the block travels with a uniform velocity and has a displacement d and the coefficient of friction is c, then the work done by the applied force is?.
A block of mass m is pulled along a horizontal surface by applying a force at an angle o with horizontal. If the block travels with a uniform velocity and has a displacement d and the coefficient of friction is c, then the work done by the applied force is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A block of mass m is pulled along a horizontal surface by applying a force at an angle o with horizontal. If the block travels with a uniform velocity and has a displacement d and the coefficient of friction is c, then the work done by the applied force is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A block of mass m is pulled along a horizontal surface by applying a force at an angle o with horizontal. If the block travels with a uniform velocity and has a displacement d and the coefficient of friction is c, then the work done by the applied force is?.
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