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प्रश्न
Write a short note.
Escape Velocity
Explain the concept of “escape velocity” in detail.
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उत्तर
- The minimum velocity with which a body should be projected from the surface of a planet or moon, so that it escapes from the gravitational influence of the planet or moon is called as escape velocity.
- Escape velocity is given as, `"v"_"esc" = sqrt((2"GM")/"R") = sqrt(2"gR")`, where M is mass of the planet, R is radius of the planet and g is acceleration due to gravity of the planet.
- The escape velocity is different for different planets.
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संबंधित प्रश्न
A ball is thrown vertically upwards with a velocity of 49 m/s. Calculate
- the maximum height to which it rises.
- the total time it takes to return to the surface of the earth.
What is the acceleration produced in a freely falling body of mass 10 kg ? (Neglect air resistance)
What force is responsible for the earth revolving round the sun ?
Fill in the following blank with suitable word :
The acceleration due to gravity on the moon is about ………………of that on the earth.
Explain what is meant by the equation :
`g= Gxxm/r^2`
where the symbols have their usual meanings.
The values of g at six distances A, B, C, D, E and F from the surface of the earth are found to be 3.08 m/s2, 9.23 m/s2, 0.57 m/s2, 7.34 m/s2, 0.30 m/s2 and 1.49 m/s2, respectively.
(a) Arrange these values of g according to the increasing distances from the surface of the earth (keeping the value of g nearest to the surface of the earth first)
(b) If the value of distance F be 10000 km from the surface of the earth, state whether this distance is deep . inside the earth or high up in the sky. Give reason for your answer.
Name the force which pulled the apple off Isaac Newton’s tree.
Name the force which stops you falling through the floor.
An object thrown vertically upwards reaches a height of 500 m. What was its initial velocity? How long will the object take to come back to the earth? Assume g = 10 m/s2.
A force of 15 N acts on a body of mass 2 kg. Calculate the acceleration produced.
A force acts for 0.1 s on a body of mass 2.0 kg initially at rest. The force is then withdrawn and the body moves with a velocity of 2 m s-1. Find the magnitude of the force.
Define the term acceleration due to gravity? Write its S.I. unit.
How is the acccelaration due to gravity on the surface of the earth realted to its mass and radius ?
What is the acceleration due to gravity?
Right or wrong sentence:
The value of gravitational acceleration at the centre of earth is zero.
Right or wrong sentence.
Free fall of an object does not depend on the mass of the object.
Write the acceleration due to gravity value on the surface of Earth.
Distinguish between:
Universal gravitational constant – Gravitational acceleration of earth.
