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Assertion: A person sitting in an artifi...

Assertion: A person sitting in an artificial satellite revolving around the earth feels weightless.
Reason: There is no gravitational force on the satellite.

A

If both the assertion and reason are true and reason is a true explantion of the assertion.

B

If both the assertion and reason are true but the reason is not true the correct explantion of the assertion.

C

If the assertion is true but reason false

D

If both the assertion and reason are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the assertion and reason question, let's break it down step by step: ### Step 1: Understand the Assertion The assertion states that "A person sitting in an artificial satellite revolving around the earth feels weightless." This is true because when an object is in free fall, such as a satellite in orbit, the occupants inside do not experience the sensation of weight. **Hint:** Consider what it means to be in free fall and how it relates to weight perception. ### Step 2: Analyze the Reason The reason given is "There is no gravitational force on the satellite." This statement is incorrect. In fact, there is a gravitational force acting on the satellite, which is what keeps it in orbit around the Earth. **Hint:** Remember that gravity acts at all distances, and even at the altitude of a satellite, gravitational force is still present, though it may be weaker than on the Earth's surface. ### Step 3: Relationship Between Forces In an orbiting satellite, the gravitational force (Fg) provides the necessary centripetal force (Fc) to keep the satellite in circular motion. The gravitational force is equal to the centripetal force required for circular motion, which is why the satellite can maintain its orbit. **Hint:** Use the formula for gravitational force and centripetal force to understand their relationship. ### Step 4: Weightlessness Explained A person inside the satellite feels weightless because both the person and the satellite are in free fall towards the Earth. The normal force, which is what we perceive as weight, is effectively zero because the satellite is accelerating towards the Earth at the same rate as the person inside it. **Hint:** Think about how normal force is related to the sensation of weight. ### Step 5: Conclusion Based on the analysis: - The assertion is true: A person in an artificial satellite feels weightless. - The reason is false: There is indeed a gravitational force acting on the satellite. Thus, the correct conclusion is that the assertion is true, but the reason is false. **Final Answer:** The assertion is true, but the reason is false.

To solve the assertion and reason question, let's break it down step by step: ### Step 1: Understand the Assertion The assertion states that "A person sitting in an artificial satellite revolving around the earth feels weightless." This is true because when an object is in free fall, such as a satellite in orbit, the occupants inside do not experience the sensation of weight. **Hint:** Consider what it means to be in free fall and how it relates to weight perception. ### Step 2: Analyze the Reason ...
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