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A particle stays at rest as seen in a fr...

A particle stays at rest as seen in a frame. We can concude that :

A

the frame is inertial

B

resultant force on the particle is zero

C

the frame may be inertial but the resultant force on th particle is zero

D

the frame may be noninertial but there is anonero resultant force

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To solve the question regarding whether a particle at rest in a frame attached to the Earth can be considered to be in an inertial frame or not, we can follow these steps: ### Step 1: Define Inertial and Non-Inertial Frames An inertial frame is one in which an object either remains at rest or moves at a constant velocity unless acted upon by a force. A non-inertial frame is one that is accelerating, meaning that objects in that frame may appear to experience fictitious forces. **Hint:** Remember that an inertial frame is characterized by the absence of acceleration. ### Step 2: Analyze the Earth's Motion The Earth is not stationary; it is rotating about its axis and also revolving around the Sun. This means that any frame of reference attached to the Earth is also in motion. **Hint:** Consider the effects of the Earth's rotation and revolution on the frame of reference. ### Step 3: Determine the Nature of the Frame Attached to the Earth Since the Earth is rotating and revolving, a frame attached to the Earth is not inertial. In such a frame, objects may appear to experience forces (like centrifugal force due to rotation) that are not due to any physical interaction. **Hint:** Think about how objects behave in a rotating frame compared to an inertial frame. ### Step 4: Conclusion Since the frame attached to the Earth is accelerating (due to both rotation and revolution), it cannot be considered an inertial frame. Therefore, any particle at rest in this frame is not in an inertial reference frame. **Hint:** Recall that a particle at rest in a non-inertial frame can still appear to be at rest, but the frame itself is not inertial. ### Final Answer The reference frame attached to the Earth is a non-inertial frame because the Earth is both rotating about its axis and revolving around the Sun.
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