6. Calculate the gravitational force between you (weight: 140 lb) and your classmate (125 lb)
sitting 20 inches apart on a bench. Answer must be in standard metric units.
I don't want the answer can you just explain how to put it together and how do I add G Which is 6.67x10^-11
To calculate the gravitational force between you and your classmate, you can use Newton's Law of Universal Gravitation. The formula can be expressed as:
F = (G * m1 * m2) / r^2
Where:
F is the gravitational force
G is the gravitational constant (6.67 x 10^-11 N·(m/kg)^2)
m1 is the mass of the first object
m2 is the mass of the second object
r is the distance between the centers of the two objects
In this case, m1 is the mass of you, and m2 is the mass of your classmate. The distance between you and your classmate, r, is given as 20 inches.
To begin with, you need to convert the weights of you and your classmate from pounds to kilograms. Since 1 lb is approximately equal to 0.453592 kg, you can use this conversion factor to find the masses:
Your mass (m1) = 140 lb * 0.453592 kg/lb
Your classmate's mass (m2) = 125 lb * 0.453592 kg/lb
Now that you have the masses in kilograms, you can substitute these values, along with the gravitational constant and the distance, into the formula:
F = (6.67 x 10^-11 N·(m/kg)^2) * (mass1 * mass2) / r^2
After performing the calculations, the final result will be in Newtons, the standard metric unit for measuring force.