Subjects physics

Opposing Forces 544273

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. The problem asks us to predict the motion of different objects in clouds with varying updraft forces and explain why water droplets or ice crystals sometimes remain suspended in clouds. 2. The key forces acting on each object are: - Weight (gravity pulling down), given in ounces (oz). - Updraft force (air pushing up), given for Case A (0.01 oz) and Case B (0.1 oz). 3. To determine if an object rises, sinks, or floats, compare the updraft force to the object's weight: - If updraft > weight, the object rises. - If updraft < weight, the object sinks. - If updraft = weight, the object floats (remains stable). 4. Analyze each object for Case A (updraft = 0.01 oz): - Small snowflake (0.0001 oz): $0.01 > 0.0001$, so it rises. - Small water droplet (0.001 oz): $0.01 > 0.001$, so it rises. - Larger water droplet (0.01 oz): $0.01 = 0.01$, so it floats. - Small hailstone (0.1 oz): $0.01 < 0.1$, so it sinks. - Larger hailstone (1.0 oz): $0.01 < 1.0$, so it sinks. 5. Analyze each object for Case B (updraft = 0.1 oz): - Small snowflake (0.0001 oz): $0.1 > 0.0001$, so it rises. - Small water droplet (0.001 oz): $0.1 > 0.001$, so it rises. - Larger water droplet (0.01 oz): $0.1 > 0.01$, so it rises. - Small hailstone (0.1 oz): $0.1 = 0.1$, so it floats. - Larger hailstone (1.0 oz): $0.1 < 1.0$, so it sinks. 6. From this evidence, water droplets or ice crystals remain suspended in clouds when the upward force of the air (updraft) balances their weight, preventing them from falling. 7. When the updraft is weaker than their weight, they fall; when stronger, they rise. This explains why droplets and ice crystals do not always fall from clouds—they can be held aloft by air currents.