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A block of mass 2 kg slides down an inclined pane of inclination 60 degree.Find the work done by force of gravity as the block moves through 1m.?
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A block of mass 2 kg slides down an inclined pane of inclination 60 de...
Given:
Mass of the block, m = 2 kg
Inclination of the inclined plane, θ = 60 degrees
Distance traveled by the block, d = 1 m
To find:
The work done by the force of gravity as the block moves through 1 m.
Explanation:
The work done by a force is given by the formula:
Work = Force × Distance × cos(θ)
Step 1: Calculate the force of gravity acting on the block.
The force of gravity, also known as weight, is given by the formula:
Weight = mass × gravitational acceleration
The gravitational acceleration, g, is approximately 9.8 m/s².
Weight = m × g
Weight = 2 kg × 9.8 m/s²
Weight = 19.6 N
Step 2: Calculate the component of the weight parallel to the inclined plane.
The component of the weight parallel to the inclined plane can be found using the formula:
Force parallel = Weight × sin(θ)
Force parallel = 19.6 N × sin(60°)
Force parallel = 19.6 N × 0.866
Force parallel = 16.97 N
Step 3: Calculate the work done by the force of gravity.
The work done by the force of gravity can be calculated using the formula:
Work = Force parallel × Distance × cos(θ)
Work = 16.97 N × 1 m × cos(60°)
Work = 16.97 N × 1 m × 0.5
Work = 8.485 J
Therefore, the work done by the force of gravity as the block moves through 1 m is 8.485 Joules.
Mass of the block, m = 2 kg
Inclination of the inclined plane, θ = 60 degrees
Distance traveled by the block, d = 1 m
To find:
The work done by the force of gravity as the block moves through 1 m.
Explanation:
The work done by a force is given by the formula:
Work = Force × Distance × cos(θ)
Step 1: Calculate the force of gravity acting on the block.
The force of gravity, also known as weight, is given by the formula:
Weight = mass × gravitational acceleration
The gravitational acceleration, g, is approximately 9.8 m/s².
Weight = m × g
Weight = 2 kg × 9.8 m/s²
Weight = 19.6 N
Step 2: Calculate the component of the weight parallel to the inclined plane.
The component of the weight parallel to the inclined plane can be found using the formula:
Force parallel = Weight × sin(θ)
Force parallel = 19.6 N × sin(60°)
Force parallel = 19.6 N × 0.866
Force parallel = 16.97 N
Step 3: Calculate the work done by the force of gravity.
The work done by the force of gravity can be calculated using the formula:
Work = Force parallel × Distance × cos(θ)
Work = 16.97 N × 1 m × cos(60°)
Work = 16.97 N × 1 m × 0.5
Work = 8.485 J
Therefore, the work done by the force of gravity as the block moves through 1 m is 8.485 Joules.
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A block of mass 2 kg slides down an inclined pane of inclination 60 degree.Find the work done by force of gravity as the block moves through 1m.?
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A block of mass 2 kg slides down an inclined pane of inclination 60 degree.Find the work done by force of gravity as the block moves through 1m.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A block of mass 2 kg slides down an inclined pane of inclination 60 degree.Find the work done by force of gravity as the block moves through 1m.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A block of mass 2 kg slides down an inclined pane of inclination 60 degree.Find the work done by force of gravity as the block moves through 1m.?.
A block of mass 2 kg slides down an inclined pane of inclination 60 degree.Find the work done by force of gravity as the block moves through 1m.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A block of mass 2 kg slides down an inclined pane of inclination 60 degree.Find the work done by force of gravity as the block moves through 1m.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A block of mass 2 kg slides down an inclined pane of inclination 60 degree.Find the work done by force of gravity as the block moves through 1m.?.
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