Final answer:
To find the gravitational force between two masses of 25kg and 20kg situated 5m apart, Newton's law of gravitation is used with the gravitational constant G. The calculation yields a force of approximately 1.3 × 10^-9 N, corresponding to option c).
Step-by-step explanation:
To solve the gravitational force between two objects, we can use Newton's universal law of gravitation, which states that the force (F) between two masses (m1 and m2) is proportional to the product of their masses divided by the square of the distance (r) between their centers, and is given by the equation:
F = G × (m1 × m2) / r2
Where G is the gravitational constant with a value of 6.674 × 10-11 N·m2/kg2.
Using the given values:
- Mass of the first object (m1): 25kg
- Mass of the second object (m2): 20kg
- Distance between the objects (r): 5m
The gravitational force can be calculated as follows:
F = (6.674 × 10-11 N·m2/kg2) × (25kg × 20kg) / (5m)2
F = (6.674 × 10-11 × 500kg2) / 25m2
F = (3.337 × 10-8 N·m2/kg2) / 25
F = 1.3348 × 10-9 N
The correct answer is approximately 1.3 × 10-9 N, which corresponds to option c).