Final answer:
Option (A), To find the gravitational force between two masses, we use the formula F = G(m1 * m2) / r^2 with the given masses and distance, resulting in approximately 0.015 N.
Step-by-step explanation:
To calculate the gravitational force between two objects, we use the formula:
F = G \(rac{m1 \cdot m2}{r^2}\)
Where:
- F is the gravitational force between the two masses,
- G is the universal gravitational constant (6.674 \(\times\) 10^-11 N\(\cdot\)m^2/kg2),
- m1 and m2 are the masses of the two objects,
- r is the distance between the centers of the two masses.
For the given problem, we have:
- m1 = 500 kg,
- m2 = 750 kg,
- r = 450 cm = 4.5 m (we convert centimeters to meters as the gravitational constant is in SI units).
Plugging in the values, we get:
F = (6.674 \(\times\) 10^-11 N\(\cdot\)m^2/kg2) \(rac{500 kg \cdot 750 kg}{(4.5 m)^2}\)
After calculating the above expression:
F = (6.674 \(\times\) 10^-11) \(rac{375000}{20.25}\)
F = (6.674 \(\times\) 10^-11) \(\times\) 18518.5185185
F = 0.0012365477 N
So, the correct answer is closest to A) F = 0.015 N.