A baseball has a mass of 0.145 kilograms, and a bowling ball has a mass of 6.8 kilograms. What is the gravitational force between them if their centers are 0.5 m apart?

1.0 × 10–13 m

1.3 × 10–10 m

2.6 × 10–10 m

1.1 × 10–8 m

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whats the answer

what is the answer

To find the gravitational force between two objects, you can use Newton's law of universal gravitation, which states that the gravitational force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

The formula for calculating gravitational force (F) is:

F = (G * m1 * m2) / r^2

Where:
F is the gravitational force
G is the gravitational constant (approximately 6.67430 × 10^-11 m^3 kg^-1 s^-2)
m1 and m2 are the masses of the two objects
r is the distance between the centers of the two objects

Now, let's calculate the gravitational force between the baseball and the bowling ball:

Mass of the baseball (m1) = 0.145 kg
Mass of the bowling ball (m2) = 6.8 kg
Distance between their centers (r) = 0.5 m

Plugging these values into the formula:

F = (6.67430 × 10^-11 * 0.145 * 6.8) / (0.5^2)

Calculating the numerator:
(6.67430 × 10^-11 * 0.145 * 6.8) = 6.9015944 × 10^-10

Calculating the denominator:
(0.5^2) = 0.25

Now, dividing the numerator by the denominator:

F = 6.9015944 × 10^-10 / 0.25

F = 2.76063776 × 10^-9 N

So, the gravitational force between the baseball and the bowling ball is approximately 2.76063776 × 10^-9 N.

None of the options provided in the question matches this result, so none of the options is correct.

This is a rather simple calculation:

Force=GM1*M2/d^2

Do you have any questions on it?