Acceleration due to Gravity

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Important Questions

A stone is released from the top of a tower of height m. Calculate its final velocity just before touching the ground.

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A ball thrown up vertically returns to the thrower after s. Find
The velocity with which it was thrown up,
The maximum height it reaches, and
Its position after s.

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A stone is thrown vertically upward with an initial velocity of . Taking , find the maximum height reached by the stone. What is the net displacement and the total distance covered by the stone?

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The time period of oscillation of a simple pendulum is .measured value of length is 20cm known to have 1mm accuracy and time for 100 oscillation of the pendulum is found to be 90s using wrist watch of 1s resolution.what is the accuracy in determining the value of acceleration due to gravity?

 

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Derive an expression for acceleration due to gravity at a depth 'd' below the earth's earth surface.

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A planet is having a mass twice to that of earth's mass and its radius as 4 times that of the earth's radius. Determine four times the acceleration due to gravity at the surface of this planet. Acceleration due to gravity at the earth's surface is .

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Obtain an expression for acceleration due to gravity at a height above the earth's surface.

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The acceleration due to gravity on the surface of moon is 1.7 m s. What is the time period of a simple pendulum on the surface of moon if its time period on the surface of earth is 3.5 s? (g on the surface of earth is 9.8 m s)

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What is the acceleration of free fall?

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Suppose a planet exists whose mass and radius both are half those of the earth. Calculate the acceleration due to gravity on the surface of this planet.

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