Step 1: Understanding the Variables

• Mass of the object (m): 10 kg
• Gravitational constant (G): Approximately 6.674 × 10⁻¹¹ N m²/kg²
• Mass of the Earth (M): Approximately 5.972 × 10²⁴ kg
• Radius of the Earth (r): Approximately 6,371,000 meters (m)

Step 2: Applying Newton's Law of Universal Gravitation

• We can use Newton's law to calculate the gravitational force (F) as follows:
• F = G × ((m × M) / r²)

Step 3: Plugging in Values

• Substituting the known values into the formula:
• F = (6.674 × 10⁻¹¹ N m²/kg²) × ((10 kg × 5.972 × 10²⁴ kg) / (6,371,000 m)²)

Step 4: Calculating the Force

• Now, we calculate the force:
• F = (6.674 × 10⁻¹¹) × ((10 × 5.972 × 10²⁴) / (6,371,000)²)

Step 5: Simplifying the Calculation

• F = (6.674 × 10⁻¹¹) × (5.972 × 10²⁵ / 4.054 × 10¹³)

Step 6: Calculate the Resulting Force

• Calculate the force of gravity:
• F ≈ 9.8 N (approximately)