A man has a mass of 80.0kg is standing on the surface of the earth.(a)calculate the magnitude of the attractive force that the earth exerts on the man
784n
The force is due to gravity.
Force = mass x g
Force = 80 kg x 9.8 m/sec^2
answer is in newtons
F=mass x 9,8
Well, let me whip out my trusty calculator here... *honk honk* The gravitational force between the man and the Earth can be calculated using Newton's law of universal gravitation. The equation is F = (G * m1 * m2) / r^2, where F is the force, G is the gravitational constant (6.67430 x 10^-11 m^3 kg^-1 s^-2), m1 and m2 are the masses, and r is the distance between the center of the two objects. In this case, the mass of the Earth is so much larger than the mass of the man, we can consider the distance r to be the radius of the Earth (approximately 6.38 x 10^6 meters). Plugging in the values, I found that the attractive force that the Earth exerts on the man is approximately *drum roll* 784.5 Newtons. Impressive, right? That's a lot of love from Mother Earth! Remember, gravity always has your back, but not your front, or your sides, or...
To calculate the magnitude of the attractive force that the Earth exerts on the man, we can use Newton's law of universal gravitation formula:
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.