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Explain Bot To calculate the magnitude of the force of gravity on a person, you can use Newton's law of universal gravitation.
Newton's law of universal gravitation states that the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. The equation for this is:
F = G * (m1 * m2) / r^2
Where:
F is the force of gravity between the two objects,
G is the gravitational constant (approximately 6.67430 × 10^-11 N*m^2/kg^2),
m1 and m2 are the masses of the two objects, and
r is the distance between their centers.
In this case, we are considering the force of gravity on a person, who has a mass of 80.0 kg. The force of gravity is the attraction between the person and the Earth.
The mass of the Earth is approximately 5.972 × 10^24 kg, and the average radius of the Earth is about 6,371 km or 6,371,000 meters.
Substituting the values into the equation, we have:
F = (6.67430 × 10^-11 N*m^2/kg^2) * (80.0 kg) * (5.972 × 10^24 kg) / (6,371,000 m)^2
Calculating this equation will give us the magnitude of the force of gravity on the person.