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Calculate the work done in lifting 200 kg of water to a vertical height of 6 m g equals to 10 m per second square?
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Calculate the work done in lifting 200 kg of water to a vertical heigh...
Understanding Work Done
When lifting an object against gravity, work is done. The work done can be calculated using the formula:
Work Done (W) = Force (F) × Distance (d)
Where:
- Force is the weight of the object
- Distance is the height to which the object is lifted
Calculating the Force
To calculate the force (weight) acting on the water, we use the formula:
Force (F) = Mass (m) × Gravity (g)
- Mass (m) = 200 kg
- Gravity (g) = 10 m/s²
Now, substituting the values:
- F = 200 kg × 10 m/s² = 2000 N
Calculating the Work Done
Now, we can calculate the work done in lifting the water to a height of 6 meters:
- Distance (d) = 6 m
Using the work done formula:
W = F × d
- W = 2000 N × 6 m = 12000 J (Joules)
Final Result
The work done in lifting 200 kg of water to a height of 6 meters is:
12000 Joules
This means that 12000 Joules of energy is required to lift the water against the force of gravity. Understanding this concept is essential in physics, especially when dealing with forces and work.
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