AP Physics 2mediummcq1 pt

A spherical balloon with a radius of 0.5 m is filled with helium (density = 0.18 kg/m³). The balloon is released in air (density = 1.2 kg/m³). What is the buoyant force acting on the balloon? (g = 9.8 m/s²)

A.6.2 N
B.12.3 N
C.24.6 N
D.49.2 N

Explanation

Core Concept

The buoyant force equals the weight of the displaced air. The volume of the sphere is (4/3)πr³ = (4/3)π(0.5)³ ≈ 0.5236 m³. Fb = ρ_air × V × g = (1.2 kg/m³)(0.5236 m³)(9.8 m/s²) ≈ 6.2 N.

Correct Answer

A6.2 N

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