Final answer:
The force of gravity between the two bowling balls can be calculated using Newton's law of universal gravitation, which involves the masses of the objects and the distance between them. The gravitational force will be very small due to the relatively small masses and the short distance separating them.
Step-by-step explanation:
The force of gravity exerted on each of the bowling balls by the other can be calculated using Newton's law of universal gravitation. The formula is F = G × (m1 × m2) / r^2, where F is the gravitational force between the two masses, G is the gravitational constant (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 the centers of the two masses. Plugging in the values, we calculate the gravitational force between a 6.5-kg bowling ball and an 8.0-kg bowling ball that are 0.80 meters apart.
To perform the calculation:
- Mass of first ball (m1) = 6.5 kg
- Mass of second ball (m2) = 8.0 kg
- Distance (r) = 0.80 m
- Gravitational Constant (G) = 6.674 × 10^-11 N m^2/kg^2
The gravitational force (F) between the balls can be calculated as follows:
F = (6.674 × 10^-11) × (6.5 × 8.0) / (0.80)^2
After calculating, the magnitude of the gravitational force (F) will be very small, representative of the weak gravitational attraction between objects of relatively small masses at close distances.