7) Find the force of gravity between two 74.0 kg physics students that are sitting 0.85 m apart
7579.24 N
5.057 x 10(-7) N
None of these choices are correct
9.8 x 10(-7) N
I'm unsure of how to begin.
F= m1m2/d^2
F= 74*74/(0.85)^2
F= 5476/0.7225
F= 7579.24 N
You left out the universal constant of gravity, G, which is a very small number. Look it up and apply it.
F= G*m1*m2/d^2
To find the force of gravity between two objects, you can use Newton's law of universal gravitation, which states that the force of gravity 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, m1 and m2 are the masses of the objects, and r is the distance between the centers of the two objects.
In this case, the masses of the two students are both 74.0 kg, and the distance between them is 0.85 m.
Now, we just need to substitute the values into the equation to calculate the force of gravity between the two students.
Let's calculate it step-by-step:
Step 1: Identify the given values:
m1 = 74.0 kg
m2 = 74.0 kg
r = 0.85 m
Step 2: Write down the equation for the force of gravity:
F = (G * m1 * m2) / r^2
Step 3: Substitute the given values into the equation:
F = (G * 74.0 kg * 74.0 kg) / (0.85 m)^2
Step 4: Calculate the value of G:
The value of G is approximately 6.67430 × 10^(-11) N*m^2/kg^2.
Step 5: Substitute the value of G into the equation:
F = (6.67430 × 10^(-11) N*m^2/kg^2 * 74.0 kg * 74.0 kg) / (0.85 m)^2
Step 6: Use a calculator to evaluate the expression:
F ≈ 5.05665 × 10^(-8) N
Therefore, the force of gravity between the two 74.0 kg physics students sitting 0.85 m apart is approximately 5.05665 × 10^(-8) N.
To find the force of gravity between two objects, you can use Newton's Law of Universal Gravitation, which states that the force of gravity between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
The formula for gravitational force is:
F = (G * m1 * m2) / r^2
Where:
F is the force of gravity,
G is the gravitational constant (approximately 6.674 × 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 your case, the masses of the two students are 74.0 kg, and the distance between them is 0.85 m. Plugging these values into the formula:
F = (6.674 × 10^(-11) N·m^2/kg^2 * 74.0 kg * 74.0 kg) / (0.85 m)^2
Calculating this expression:
F = (6.674 × 10^(-11) N·m^2/kg^2 * 74.0 kg * 74.0 kg) / (0.85 m * 0.85 m)
F = 5.057 × 10^(-7) N
Therefore, the correct answer is 5.057 × 10^(-7) N, which is the force of gravity between the two physics students sitting 0.85 m apart.