What is the force of gravity between two 1215 kg cars separated by a distance of 31m on an interstate highway
G M1 M2 /d^2
G = 6.67 * 10^-11
so
6.67*10^-11 * 1215^2 /(31)^2
To calculate the force of gravity between two objects, you can use the formula for gravitational force:
F = G * (m1 * m2) / r^2
Where:
F is the force of gravity
G is the gravitational constant (approximately 6.67430 × 10^-11 N m^2/kg^2)
m1 and m2 are the masses of the objects
r is the distance between the centers of the two objects
In this case, the two cars have a mass of 1215 kg, and they are separated by a distance of 31 m. So, we can plug these values into the formula:
F = (6.67430 × 10^-11 N m^2/kg^2) * (1215 kg * 1215 kg) / (31 m)^2
Now, let's solve the equation step by step:
1. Calculate the square of 31 m:
(31 m)^2 = 961 m^2
2. Multiply the masses of the cars:
1215 kg * 1215 kg = 1,475,225 kg^2
3. Divide the product of the masses by the square of the distance:
1,475,225 kg^2 / 961 m^2 = 1535.290323 kg^2/m^2
4. Multiply by the gravitational constant:
(6.67430 × 10^-11 N m^2/kg^2) * 1535.290323 kg^2/m^2 = 1.023985892 × 10^-7 N
Therefore, the force of gravity between two 1215 kg cars separated by a distance of 31 m on an interstate highway is approximately 1.02 × 10^-7 Newtons (N).