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A porter lifts a luggage of 15 kg from the ground and puts it on his head 1.5 m above the ground. Find work done by him on the luggage. using formula Work done= Force × Displacement ×cosTheta?
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A porter lifts a luggage of 15 kg from the ground and puts it on his h...
Understanding Work Done
Work done is defined as the energy transferred when a force is applied to an object, causing it to move. The formula for calculating work done is:
Work Done = Force × Displacement × cos(Θ)
where:
- Force is the applied force,
- Displacement is the distance moved in the direction of the force,
- Θ is the angle between the force and the direction of displacement.
Calculating the Force
To find the work done by the porter lifting the luggage:
1. Determine the Force:
The force required to lift the luggage is equal to its weight, which can be calculated using the formula:
Force (F) = mass (m) × gravitational acceleration (g)
Here, the mass (m) of the luggage is 15 kg and the gravitational acceleration (g) is approximately 9.81 m/s².
- F = 15 kg × 9.81 m/s² = 147.15 N (approximately)
Calculating the Displacement
2. Displacement:
The porter lifts the luggage to a height of 1.5 m.
Calculating the Work Done
3. Substituting Values into the Formula:
Since the force is applied vertically upwards and the displacement is also vertical, the angle (Θ) is 0 degrees. Thus, cos(0) = 1.
- Work Done = F × displacement × cos(Θ)
- Work Done = 147.15 N × 1.5 m × 1
- Work Done = 220.725 J (approximately)
Conclusion
The work done by the porter in lifting the luggage is approximately 220.73 Joules. This calculation illustrates how force, displacement, and angle interplay to determine the work done in lifting an object.
Work done is defined as the energy transferred when a force is applied to an object, causing it to move. The formula for calculating work done is:
Work Done = Force × Displacement × cos(Θ)
where:
- Force is the applied force,
- Displacement is the distance moved in the direction of the force,
- Θ is the angle between the force and the direction of displacement.
Calculating the Force
To find the work done by the porter lifting the luggage:
1. Determine the Force:
The force required to lift the luggage is equal to its weight, which can be calculated using the formula:
Force (F) = mass (m) × gravitational acceleration (g)
Here, the mass (m) of the luggage is 15 kg and the gravitational acceleration (g) is approximately 9.81 m/s².
- F = 15 kg × 9.81 m/s² = 147.15 N (approximately)
Calculating the Displacement
2. Displacement:
The porter lifts the luggage to a height of 1.5 m.
Calculating the Work Done
3. Substituting Values into the Formula:
Since the force is applied vertically upwards and the displacement is also vertical, the angle (Θ) is 0 degrees. Thus, cos(0) = 1.
- Work Done = F × displacement × cos(Θ)
- Work Done = 147.15 N × 1.5 m × 1
- Work Done = 220.725 J (approximately)
Conclusion
The work done by the porter in lifting the luggage is approximately 220.73 Joules. This calculation illustrates how force, displacement, and angle interplay to determine the work done in lifting an object.
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A porter lifts a luggage of 15 kg from the ground and puts it on his head 1.5 m above the ground. Find work done by him on the luggage. using formula Work done= Force × Displacement ×cosTheta?
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A porter lifts a luggage of 15 kg from the ground and puts it on his head 1.5 m above the ground. Find work done by him on the luggage. using formula Work done= Force × Displacement ×cosTheta? 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 porter lifts a luggage of 15 kg from the ground and puts it on his head 1.5 m above the ground. Find work done by him on the luggage. using formula Work done= Force × Displacement ×cosTheta? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A porter lifts a luggage of 15 kg from the ground and puts it on his head 1.5 m above the ground. Find work done by him on the luggage. using formula Work done= Force × Displacement ×cosTheta?.
A porter lifts a luggage of 15 kg from the ground and puts it on his head 1.5 m above the ground. Find work done by him on the luggage. using formula Work done= Force × Displacement ×cosTheta? 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 porter lifts a luggage of 15 kg from the ground and puts it on his head 1.5 m above the ground. Find work done by him on the luggage. using formula Work done= Force × Displacement ×cosTheta? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A porter lifts a luggage of 15 kg from the ground and puts it on his head 1.5 m above the ground. Find work done by him on the luggage. using formula Work done= Force × Displacement ×cosTheta?.
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