What is the gravitational field strength at a distance of 10 m from a mass of 10
Practice Questions
Q1
What is the gravitational field strength at a distance of 10 m from a mass of 100 kg? (G = 6.67 × 10^-11 N m²/kg²)
6.67 × 10^-10 N/kg
6.67 × 10^-9 N/kg
6.67 × 10^-8 N/kg
6.67 × 10^-7 N/kg
Questions & Step-by-Step Solutions
What is the gravitational field strength at a distance of 10 m from a mass of 100 kg? (G = 6.67 × 10^-11 N m²/kg²)
Step 1: Identify the values given in the question. We have the mass (M) = 100 kg, the distance (r) = 10 m, and the gravitational constant (G) = 6.67 × 10^-11 N m²/kg².
Step 2: Write down the formula for gravitational field strength (g): g = G * M / r².
Step 3: Substitute the values into the formula. Replace G with 6.67 × 10^-11, M with 100, and r with 10.
Step 4: Calculate r² (the square of the distance). r² = 10² = 100.
Step 5: Now substitute r² back into the formula: g = (6.67 × 10^-11) * (100) / (100).
Step 6: Simplify the equation. The 100 in the numerator and denominator cancel out, leaving g = 6.67 × 10^-11 N/kg.
Step 7: Therefore, the gravitational field strength at a distance of 10 m from a mass of 100 kg is g = 6.67 × 10^-10 N/kg.
