Advertisements
Advertisements
प्रश्न
Calculate the escape velocity on the surface of the moon given the mass and radius of the moon to be 7.34 × 1022 kg and 1.74 × 106 m respectively.
(Given: G = 6.67 × 10-11 Nm2/kg2)
Advertisements
उत्तर
Given:
G = 6.67 × 10-11 Nm2/kg2
Mass of the moon = M = 7.34 × 1022 kg
The radius of the moon = R = 1.74 × 106.
Escape velocity = Vesc = `sqrt((2"GM")/"R")`
= `sqrt((2xx6.67xx10^-11xx7.34xx10^22)/(1.74xx10^6))`
= 2.37 km/s
The escape velocity on the moon is 2.37 km/s.
APPEARS IN
संबंधित प्रश्न
Gravitational force acts on all objects in proportion to their masses. Why then, a heavy object does not fall faster than a light object?
A stone is thrown vertically upward with an initial velocity of 40 m/s. Taking g = 10 m/s2, find the maximum height reached by the stone. What is the net displacement and the total distance covered by the stone?
A ball thrown up vertically returns to the thrower after 6 s. Find
- the velocity with which it was thrown up,
- the maximum height it reaches, and
- its position after 4 s.
When an object is dropped from a height, it accelerates and falls down. Name the force which accelerates the object.
State whether the following statement is true or false :
The acceleration due to gravity acting on a freely falling body is directly proportional to the mass of the body.
Explain what is meant by the equation :
`g= Gxxm/r^2`
where the symbols have their usual meanings.
Give reason for the following :
The force of gravitation between two cricket balls is extremely small but that between a cricket ball and the earth is extremely large.
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 ?
Explain why, a wide steel belt is provided over the wheels of an army tank.
For freely falling object we can write the Newton’s second equation of motion as …..
A metal ball of mass 5 kg falls from a height of 490 m. How much time it will take to reach the ground? (g = 9.8 m/s2)
A force of 15 N acts on a body of mass 2 kg. Calculate the acceleration produced.
How is the acccelaration due to gravity on the surface of the earth realted to its mass and radius ?
How are g and G realated ?
A body is projected vertically upward with an initial velocity u . If acceleartion due to gravity is g , the time for which it remains in air , is :
What is escape velocity?
Write scientific reasons.
When we drop a feather and a stone at the same time from a height the stone reach the earth faster than a feather.
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’.
