The table below shows four examples of pairs of objects, the masses of each object in the pair, and the distances between the objects. In which example is gravitational force of attraction between the two objects the greatest
Example (M = masses (kg)) and the third slide is distance(km)
Ex 1. M1 = 50, M2= 100 , 20 km
Ex 2. M1=50, M2=10, 10 km
Ex 3. M1=200, M2 =150, 10 km
Ex 4. M1=200, M2 =150, 30 km
The gravitational force of attraction between two objects is given by the equation F = G (M1 * M2) / D^2, where G is the gravitational constant (approximately 6.674 x 10^-11 N(m/kg)^2).
To determine which example has the greatest gravitational force of attraction, we need to calculate the force using the given masses and distances for each example.
For Example 1:
F1 = (6.674 x 10^-11) * (50 * 100) / (20^2) = 8.3435 x 10^-9 N
For Example 2:
F2 = (6.674 x 10^-11) * (50 * 10) / (10^2) = 3.3374 x 10^-10 N
For Example 3:
F3 = (6.674 x 10^-11) * (200 * 150) / (10^2) = 2.504 x 10^-7 N
For Example 4:
F4 = (6.674 x 10^-11) * (200 * 150) / (30^2) = 2.504 x 10^-8 N
From the calculations, we can see that Example 3 has the greatest gravitational force of attraction between the two objects.