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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 stone is allowed to fall from the top of a tower 100 m high and at the same time another stone is projected vertically upwards from the ground with a velocity of 25 m/s. Calculate when and where the two stones will meet.
State whether the following statement is true or false :
A falling stone also attracts the earth.
During a free fall, will heavier objects accelerate more than lighter ones ?
What is the force of gravity on a body of mass 150 kg lying on the surface of the earth? (Mass of earth = 6 x 1024 kg; Radius of earth = 6.4 x 106 m; G = 6.7 x 10-11 Nm2/kg2)
What is the usual value of the acceleration due to gravity of earth ?
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.
Why does a sharp knife cut objects more effectively than a blunt knife ?
A stone is thrown vertically upwards with initial velocity u reaches a height ‘h’ before coming down. Show that the time taken to go up is the same as the time taken to come down.
For freely falling object we can write the Newton’s second equation of motion as …..
The value of acceleration due to gravity of earth :
The total energy of an object falling freely towards the ground ______.
A force of 10 N acts on a body of mass 5 kg. Find the acceleration produced.
Figure shows the velocity-time graph of a particle of mass 100 g moving in a straight line. Calculate the force acting on the particle.
(Hint : Acceleration = Slope of the v-t graph)
Write scientific reason.
The value of gravitational acceleration (g) decreases as we go deep inside the earth.
Write scientific reason.
When we drop a feather and a stone at the same time from a height the stone reach the earth faster than a feather.
Define acceleration due to gravity.
The mass of planet ‘X” is four times that of the earth and its radius is double the radius of the earth. The escape velocity of a body from the earth is 11.2 × 103 m/s. Find the escape velocity of a body from the planet 'X’.
The mass and weight of an object on earth are 5 kg and 49 N respectively. What will be their values on the moon? Assume that the acceleration due to gravity on the moon is 1/6th of that on the earth.
When is free fall possible?
