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प्रश्न
Answer the following question in detail.
Draw a graph showing the variation of gravitational acceleration due to the depth and altitude from the Earth’s surface.
उत्तर १
Variation of g due to depth and altitude from the Earth’s surface
उत्तर २
The graph above illustrates the variation of gravitational acceleration (g) due to both depth (inside the Earth) and altitude (above the Earth's surface).
Explanation:
- Gravitational Acceleration vs. Depth:
- As we move deeper into the Earth, the gravitational acceleration decreases linearly.
- This is because only the mass enclosed within the radius of depth contributes to gravity.
- The relation is given by: `g_d = g_o (1- d/R)`
- Where g0 is surface gravity, d is depth, and R is the Earth's radius.
- Gravitational Acceleration vs. Altitude:
- As we move higher above the Earth’s surface, gravitational acceleration decreases according to the inverse square law:
`g_h = g_o (1/(1+h/R)^2)` - Where h is the altitude above the surface.
- The further we go, the weaker Earth's gravitational pull becomes.
- As we move higher above the Earth’s surface, gravitational acceleration decreases according to the inverse square law:
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संबंधित प्रश्न
Answer the following question.
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Answer the following question in detail.
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Answer the following question in detail.
Obtain the formula for the acceleration due to gravity at the depth ‘d’ below the Earth’s surface.
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Three-point masses, each of mass 'm' are kept at the comers of an equilateral triangle of side 'L'. The system rotates about the centre of the triangle without any change in the eparation of masses during rotation. The period of rotation is directly proportional to ______.
`(cos30^circ=sin60^circ=sqrt3/2, cos60^circ=sin30^circ=1/2)`
The speed with which the earth would have to rotate about its axis so that a person on the equator would weight `3/5`th as much at present is ______.
(g = gravitational acceleration, R = equatorial radius of the earth)
