The force is due to gravity.
Force = mass x g
Force = 80 kg x 9.8 m/sec^2
answer is in newtons
Force = mass x g
Force = 80 kg x 9.8 m/sec^2
answer is in newtons
F = (G * m1 * m2) / d^2
where:
F = magnitude of the force
G = gravitational constant (approximately 6.67 x 10^-11 Nm^2/kg^2)
m1 = mass of the first object (man's mass)
m2 = mass of the second object (Earth's mass)
d = distance between the centers of the two objects (radius of the Earth)
Given:
m1 = 80.0 kg (mass of the man)
m2 = mass of the Earth (approximately 5.97 x 10^24 kg)
radius of the Earth = 6,371 km (or 6,371,000 meters)
Now, let's calculate the magnitude of the attractive force using these values.
Step 1: Convert the radius of the Earth from kilometers to meters.
radius of the Earth = 6,371 km * 1,000 m/km = 6,371,000 meters
Step 2: Plug in the given values into the formula.
F = (6.67 x 10^-11 Nm^2/kg^2) * (80.0 kg) * (5.97 x 10^24 kg) / (6,371,000 meters)^2
Step 3: Calculate the magnitude of the force.
F ≈ 7.46 x 10^7 Newtons
Therefore, the magnitude of the attractive force that the Earth exerts on the man is approximately 7.46 x 10^7 Newtons.