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Explain Bot To find the magnitude of the force of gravity on a person, we can use Newton's law of universal gravitation. According to this law, the gravitational force between two objects is given by the equation:
F = G * (m1 * m2) / r^2
Where:
F is the force of gravity,
G is the gravitational constant (approximately 6.674 x 10^-11 Nm^2/kg^2),
m1 and m2 are the masses of the two objects, and
r is the distance between the centers of the two objects.
In this case, we only have the mass of the person, which is 80.0 kg. We assume that the person is on the surface of the Earth, so the distance between the person's center and the Earth's center is approximately the radius of the Earth (6,371 km or 6.371 x 10^6 m).
Now, let's calculate the magnitude of the force of gravity on the person:
F = G * (m1 * m2) / r^2
F = (6.674 x 10^-11 Nm^2/kg^2) * (80.0 kg) * (5.972 x 10^24 kg) / (6.371 x 10^6 m)^2
After substituting the values, we can solve for F.