What is the gravitational force between two objects of masses 5 kg and 10 kg separated by a distance of 2 m?
Practice Questions
1 question
Q1
What is the gravitational force between two objects of masses 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
2.50 x 10^-10 N
Using Newton's law of gravitation, F = G * (m1 * m2) / r^2, where G = 6.67 x 10^-11 N m^2/kg^2, m1 = 5 kg, m2 = 10 kg, r = 2 m. F = (6.67 x 10^-11) * (5 * 10) / (2^2) = 1.25 x 10^-9 N.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the gravitational force between two objects of masses 5 kg and 10 kg separated by a distance of 2 m?
Solution: Using Newton's law of gravitation, F = G * (m1 * m2) / r^2, where G = 6.67 x 10^-11 N m^2/kg^2, m1 = 5 kg, m2 = 10 kg, r = 2 m. F = (6.67 x 10^-11) * (5 * 10) / (2^2) = 1.25 x 10^-9 N.
Steps: 11
Step 1: Identify the masses of the two objects. Here, m1 = 5 kg and m2 = 10 kg.
Step 2: Identify the distance between the two objects. Here, r = 2 m.
Step 3: Use the gravitational constant G, which is 6.67 x 10^-11 N m^2/kg^2.
Step 4: Write down the formula for gravitational force: F = G * (m1 * m2) / r^2.
Step 5: Substitute the values into the formula: F = (6.67 x 10^-11) * (5 * 10) / (2^2).
Step 6: Calculate the product of the masses: 5 * 10 = 50.
Step 7: Calculate the square of the distance: 2^2 = 4.
Step 8: Substitute these results back into the formula: F = (6.67 x 10^-11) * (50) / (4).
Step 9: Calculate the numerator: (6.67 x 10^-11) * 50 = 3.335 x 10^-9.
Step 10: Now divide the numerator by the denominator: F = (3.335 x 10^-9) / 4.
Step 11: Calculate the final result: F = 0.83375 x 10^-9 N, which can be written as 1.25 x 10^-9 N.
