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 × 10^-11 N m²/kg²)
1.67 × 10^-10 N
1.67 × 10^-9 N
1.67 × 10^-8 N
1.67 × 10^-7 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 × 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 × 10^-11 N m²/kg².
Step 2: Write down the formula for gravitational force (F) between two masses: F = G * (m1 * m2) / r².
Step 3: Substitute the values into the formula. Replace G with 6.67 × 10^-11, m1 with 5, m2 with 10, and r with 2.
Step 4: Calculate the product of the masses: m1 * m2 = 5 * 10 = 50.
Step 5: Calculate the square of the distance: r² = 2² = 4.
Step 6: Substitute these results back into the formula: F = (6.67 × 10^-11) * (50) / (4).
