Energy required to bring 1 kg 1000 meter above the surface of the Earth

In summary, the energy required to lift 1 kg of mass to a height of 1000 meters above the Earth's surface is calculated using the formula for gravitational potential energy, which is given by \( E = mgh \), where \( m \) is the mass (1 kg), \( g \) is the acceleration due to gravity (approximately 9.81 m/s²), and \( h \) is the height (1000 m). This results in an energy requirement of approximately 9810 joules.
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Mikael17
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How can i calculate the Energy required to bring 1 kg 1000 meter above the surface of the earth ?
 
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  • #2
Look up "gravitational potential energy". You need the difference in its value for a 1000kg mass at the two distances from the center of the Earth.
 
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I had a friend and colleague who was asked a question he didn't know on an oral exam.

Him: "Well, I know where to look it up if I ever need it."
Prof: "But you need it now."
 
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In either case this one is so easy/basic you really should be able to memorize it, plus knowing how it works you can deconstruct, rearrange and apply it to other kinds of energy/problems.
 
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Mikael17 said:
There are formulae and there are basic principles which can often be expressed by formulae. To understand and know a basic principle it is necessary for you to be able to put names (words) to the basic symbols that a shorthand formula tells you.
Do you carry and use a map / gps with you when you go to work every morning or do you actually learn the route? Your brain is a great learning device - give it a chance.
 

FAQ: Energy required to bring 1 kg 1000 meter above the surface of the Earth

1. What is the formula to calculate the energy required to lift an object?

The energy required to lift an object is calculated using the formula: E = m * g * h, where E is the energy in joules, m is the mass in kilograms, g is the acceleration due to gravity (approximately 9.81 m/s² on Earth), and h is the height in meters.

2. How much energy is needed to lift 1 kg to a height of 1000 meters?

Using the formula E = m * g * h, for 1 kg at a height of 1000 meters, the energy required is E = 1 kg * 9.81 m/s² * 1000 m, which equals 9810 joules.

3. Does the energy required change with altitude?

Yes, the energy required can slightly change with altitude because the acceleration due to gravity (g) decreases as you move further from the Earth's surface. However, for heights like 1000 meters, the change is negligible, and g is often approximated as 9.81 m/s².

4. What are the practical applications of calculating this energy?

Calculating the energy required to lift objects is crucial in various fields, including engineering, physics, and aerospace. It helps in designing elevators, cranes, and spacecraft, as well as in understanding energy consumption and efficiency in lifting operations.

5. Are there any energy losses to consider when lifting an object?

Yes, in practical scenarios, there are energy losses due to factors such as air resistance, friction in pulleys or lifting mechanisms, and inefficiencies in engines or motors used to perform the lifting. These factors mean that the actual energy consumed will be greater than the calculated energy required to lift the object vertically.

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