Two objects of masses 3 kg and 4 kg are placed 1 m apart. What is the gravitatio

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Question: Two objects of masses 3 kg and 4 kg are placed 1 m apart. What is the gravitational force between them? (G = 6.67 × 10^-11 N m²/kg²)

Options:

Correct Answer: 8.01 × 10^-11 N

Solution:

F = G * (m1 * m2) / r² = (6.67 × 10^-11) * (3 * 4) / (1²) = 8.01 × 10^-11 N

Two objects of masses 3 kg and 4 kg are placed 1 m apart. What is the gravitational force between them? (G = 6.67 × 10^-11 N m²/kg²)

Two objects of masses 3 kg and 4 kg are placed 1 m apart. What is the gravitational force between them? (G = 6.67 × 10^-11 N m²/kg²)

Step 1: Identify the masses of the two objects. The first object has a mass of 3 kg and the second object has a mass of 4 kg.
Step 2: Identify the distance between the two objects. They are placed 1 meter apart.
Step 3: Write down the formula for gravitational force: F = G * (m1 * m2) / r².
Step 4: Substitute the values into the formula. Here, G = 6.67 × 10^-11 N m²/kg², m1 = 3 kg, m2 = 4 kg, and r = 1 m.
Step 5: Calculate the product of the masses: 3 kg * 4 kg = 12 kg².
Step 6: Calculate the square of the distance: 1 m² = 1 m².
Step 7: Substitute these values into the formula: F = (6.67 × 10^-11) * (12) / (1).
Step 8: Perform the multiplication: (6.67 × 10^-11) * (12) = 8.004 × 10^-10 N.
Step 9: Since we are dividing by 1, the result remains the same: F = 8.004 × 10^-10 N.
Step 10: Round the answer to two decimal places: F ≈ 8.01 × 10^-11 N.

Gravitational Force – The gravitational force between two masses is calculated using Newton's law of universal gravitation, which states that the force is proportional to the product of the masses and inversely proportional to the square of the distance between them.
Units and Constants – Understanding the units of gravitational constant (G) and ensuring that all quantities are in the correct units (kg, m, N) is crucial for accurate calculations.
Distance in Gravitational Force – The distance (r) between the two masses must be squared in the formula, which is a common point of confusion.