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PHY 101 PHY 101 Past Questions Objective Question

Question

Two 8 kg spherical lead balls are placed with their centers 0.5 m apart. The magnitude of the gravitational force each exerts on the other is approximately (G = 6.67 × 10⁻¹¹ Nm²/kg²):
Options
A 1.71 × 10⁻⁷ N
B 1.71 × 10⁻⁸ N
Correct Answer
C 1.71 × 10⁻⁹ N
D 1.71 × 10⁻¹⁰ N
Correct Answer

Option B is the correct answer.

Detailed Explanation

Using F = G m₁m₂/r², F = (6.67 × 10⁻¹¹ Nm²/kg²)(8 kg)(8 kg) / (0.5 m)² = (6.67e-11 * 64) / 0.25 = 4.2688e-9 / 0.25 = 1.70752e-8 N, which is approximately 1.71 × 10⁻⁸ N.

Hint

Substitute the given values directly into Newton's law of gravitation formula.

Question Info