What is the net force inward acting on a spherical bathysphere of diameter 2.00 m at an ocean depth of 1 000 m? (The pressure inside the bathysphere is, hopefully, 1 ATM.) ρ_{(sea water)} = 1.02 × 10³ kg/m³. A) 1.26 × 10⁴ N B) 1.26 × 10⁶ N C) 1.26 × 10⁸ N D) 1.26 × 10¹⁰ N E) 1.26 × 10² N

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Quizplus · Accepted Answer

The net force is calculated using the pressure difference between the inside and outside of the bathysphere. The pressure at 1000 m depth is ρgh = (1.02 × 10³ kg/m³)(9.81 m/s²)(1000 m) = 1.00 × 10⁷ Pa. The area of the sphere is 4πr² = 4π(1 m)² = 12.57 m². The net force is pressure difference times area: (1.00 × 10⁷ Pa - 1.01 × 10⁵ Pa) × 12.57 m² ≈ 1.26 × 10⁸ N.

What Is the Net Force Inward Acting on a Spherical