Final answer:
The gravitational force between two spheres of mass 105kg each and 240 meters apart can be calculated using Newton's law of universal gravitation, with the gravitational constant G. Plug in the values to find the force.
Step-by-step explanation:
Calculating Gravitational Force Between Two Spheres
To calculate the gravitational force exerted by one sphere on another, we can use Newton's law of universal gravitation. This law states that the force (F) between two masses (m1 and m2) is proportional to the product of their masses and inversely proportional to the square of the distance (r) between their centers. The equation is given by:
F = G * (m1 * m2) / r2
Where:
- G is the gravitational constant (6.674×10-11 N·m2/kg2)
- m1 and m2 are the masses of the two spheres
- r is the distance between the centers of the two spheres.
In this case, with both spheres having a mass of 105 kg and a separation of 240 meters, the force F can be calculated as follows:
F = (6.674×10-11 N·m2/kg2) * (105 kg * 105 kg) / (240 m)2
Plug in the values to find the gravitational force between the two spheres.