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Elaborate clients of a staircase carrying a load of 10 kg on his head the staircase has 20 steps on each step 0.2 M high find the work done by the labour in carrying the load?
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Elaborate clients of a staircase carrying a load of 10 kg on his head ...
To calculate the work done by a laborer in carrying a load of 10 kg up a staircase with 20 steps, each 0.2 m high, we will follow the principles of physics related to work and energy.
Understanding Work Done
Work is defined as the force applied to an object times the distance over which that force is applied. The formula for work done (W) is:
W = F × d
Where:
- F is the force applied (in Newtons)
- d is the distance moved in the direction of the force (in meters)
Calculating Force
The force applied here is equal to the weight of the load being carried. The weight (W) can be calculated using the formula:
Weight (W) = mass (m) × gravitational acceleration (g)
Where:
- m = 10 kg
- g ≈ 9.81 m/s²
Thus,
F = 10 kg × 9.81 m/s² = 98.1 N
Calculating the Distance
The total vertical distance (d) moved up the staircase is calculated as follows:
d = number of steps × height of each step
- Number of steps = 20
- Height of each step = 0.2 m
Therefore,
d = 20 × 0.2 m = 4 m
Calculating Work Done
Now we can calculate the work done:
W = F × d = 98.1 N × 4 m = 392.4 J
Conclusion
The work done by the laborer in carrying a 10 kg load up the staircase is
392.4 Joules.
This calculation illustrates the principles of work and energy in a practical scenario, emphasizing the significance of understanding physics in everyday tasks.
Understanding Work Done
Work is defined as the force applied to an object times the distance over which that force is applied. The formula for work done (W) is:
W = F × d
Where:
- F is the force applied (in Newtons)
- d is the distance moved in the direction of the force (in meters)
Calculating Force
The force applied here is equal to the weight of the load being carried. The weight (W) can be calculated using the formula:
Weight (W) = mass (m) × gravitational acceleration (g)
Where:
- m = 10 kg
- g ≈ 9.81 m/s²
Thus,
F = 10 kg × 9.81 m/s² = 98.1 N
Calculating the Distance
The total vertical distance (d) moved up the staircase is calculated as follows:
d = number of steps × height of each step
- Number of steps = 20
- Height of each step = 0.2 m
Therefore,
d = 20 × 0.2 m = 4 m
Calculating Work Done
Now we can calculate the work done:
W = F × d = 98.1 N × 4 m = 392.4 J
Conclusion
The work done by the laborer in carrying a 10 kg load up the staircase is
392.4 Joules.
This calculation illustrates the principles of work and energy in a practical scenario, emphasizing the significance of understanding physics in everyday tasks.
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Elaborate clients of a staircase carrying a load of 10 kg on his head the staircase has 20 steps on each step 0.2 M high find the work done by the labour in carrying the load?
Question Description
Elaborate clients of a staircase carrying a load of 10 kg on his head the staircase has 20 steps on each step 0.2 M high find the work done by the labour in carrying the load? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Elaborate clients of a staircase carrying a load of 10 kg on his head the staircase has 20 steps on each step 0.2 M high find the work done by the labour in carrying the load? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Elaborate clients of a staircase carrying a load of 10 kg on his head the staircase has 20 steps on each step 0.2 M high find the work done by the labour in carrying the load?.
Elaborate clients of a staircase carrying a load of 10 kg on his head the staircase has 20 steps on each step 0.2 M high find the work done by the labour in carrying the load? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Elaborate clients of a staircase carrying a load of 10 kg on his head the staircase has 20 steps on each step 0.2 M high find the work done by the labour in carrying the load? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Elaborate clients of a staircase carrying a load of 10 kg on his head the staircase has 20 steps on each step 0.2 M high find the work done by the labour in carrying the load?.
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