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If the hollow sphere is released, which of the following best describes the subsequent motion? i. The sphere accelerates upward ii. The sphere moves upward at constant velocity. iii. The sphere stays stationary; iv. The sphere moves downward at constant velocity. v. The sphere accelerates downward vi. We don’t have enough information to know.

Question

If the hollow sphere is released, which of the following best describes the subsequent motion? i. The sphere accelerates upward ii. The sphere moves upward at constant velocity. iii. The sphere stays stationary; iv. The sphere moves downward at constant velocity. v. The sphere accelerates downward vi. We don’t have enough information to know.

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Solution

To answer this question, we need more context. The motion of the hollow sphere after it is released depends on various factors such as the initial conditions (e.g., was it at rest or in motion when released?), the forces acting on it (e.g., gravity, friction, air resistance), and its properties (e.g., mass, size, material).

However, if we assume the sphere is released from rest in a standard Earth environment without any initial upward or downward velocity, the most likely scenario is:

v. The sphere accelerates downward

This is due to the force of gravity, which pulls objects downward towards the center of the Earth. The acceleration due to gravity near the Earth's surface is approximately 9.8 m/s².

Please note that this is a simplified explanation. In reality, the motion could be affected by other factors such as air resistance, which could eventually cause the sphere to reach a terminal velocity and move downward at a constant speed (scenario iv). But without more specific information, we can't definitively rule out any of the options.

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