What will be the weight of a 120kg body if it is taken to 2000km above earth surface?
Question
What will be the weight of a 120kg body if it is taken to 2000km above earth surface?
Solution
To answer this question, we need to use the formula for gravitational force:
F = G * (m1 * m2) / r^2
Where:
- F is the force of gravity (which is the weight we're trying to find)
- G is the gravitational constant (6.674 * 10^-11 N(m/kg)^2)
- m1 and m2 are the masses of the two objects (in this case, the mass of the Earth and the mass of the body)
- r is the distance between the centers of the two objects
First, we need to find the new distance from the center of the Earth. The radius of the Earth is about 6371 km, so the new distance is 6371 km + 2000 km = 8371 km = 8.371 * 10^6 m.
Next, we plug the values into the formula:
F = (6.674 * 10^-11 N(m/kg)^2) * ((5.972 * 10^24 kg * 120 kg) / (8.371 * 10^6 m)^2)
After calculating the above expression, we get the new weight of the body.
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