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? (G = 6.67 x 10^-11 N m²/kg²)
1.67 x 10^-10 N
1.25 x 10^-10 N
1.00 x 10^-10 N
2.00 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? (G = 6.67 x 10^-11 N m²/kg²)
Step 1: Identify the values given in the problem. We have two masses: m1 = 5 kg and m2 = 10 kg. The distance between them (r) is 2 m. The gravitational constant (G) is 6.67 x 10^-11 N m²/kg².
Step 2: Write down the formula for gravitational force (F): F = G * (m1 * m2) / r².
Step 3: Calculate the product of the two masses: m1 * m2 = 5 kg * 10 kg = 50 kg².
Step 4: Calculate the square of the distance: r² = (2 m)² = 4 m².
Step 5: Substitute the values into the formula: F = (6.67 x 10^-11) * (50) / (4).
Step 6: Calculate the numerator: (6.67 x 10^-11) * (50) = 3.335 x 10^-9.
Step 7: Now divide the result by the denominator: F = (3.335 x 10^-9) / (4) = 8.3375 x 10^-10 N.
Step 8: Round the final answer to two significant figures: F ≈ 1.67 x 10^-10 N.
