What is the gravitational force between two masses of 5 kg and 10 kg separated b
Practice Questions
Q1
What is the gravitational force between two masses of 5 kg and 10 kg separated by a distance of 2 m?
1.67 x 10^-10 N
1.25 x 10^-9 N
1.25 x 10^-10 N
2.5 x 10^-10 N
Questions & Step-by-Step Solutions
What is the gravitational force between two masses of 5 kg and 10 kg separated by a distance of 2 m?
Step 1: Identify the values needed for the formula. We have two masses: m1 = 5 kg and m2 = 10 kg. The distance between them is r = 2 m.
Step 2: Write down the formula for gravitational force: F = G * (m1 * m2) / r^2.
Step 3: Substitute the values into the formula. We know G = 6.67 x 10^-11 N m^2/kg^2, so we replace G, m1, m2, and r in the formula: F = (6.67 x 10^-11) * (5 * 10) / (2^2).
Step 4: Calculate the product of the masses: 5 * 10 = 50.
Step 5: Calculate the square of the distance: 2^2 = 4.
Step 6: Substitute these results back into the formula: F = (6.67 x 10^-11) * (50) / (4).
Step 7: Multiply 6.67 x 10^-11 by 50: 6.67 x 10^-11 * 50 = 3.335 x 10^-9.
Step 8: Now divide this result by 4: 3.335 x 10^-9 / 4 = 8.3375 x 10^-10.
Step 9: The final result is approximately 1.25 x 10^-9 N.
