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
What do you mean by acceleration due to gravity?
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?
What force is responsible for the earth revolving round the sun ?
What do you understand by the term 'acceleration due to gravity of earth' ?
Name the force which stops you falling through the floor.
A pressure of 10 Pa acts on an area of 3.0 m2. What is the force acting on the area ? What force will be exerted by the application of same pressure if the area is made one-third ?
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.
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
i) If g = GM/r2 then where will the value of g be high at Goa Beach or on top of Mount Everest?
What would be the value of ‘g’ on the surface of the earth if its mass was twice and its radius half of what it is now?
The value of acceleration due to gravity of earth :
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 The force is then withdrawn and the body moves with a velocity of 2 m s-1.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.
A body falls freely under gravity from rest and reaches the ground in time t. Write the expression for the height fallen by the body.
An object falling freely from rest reaches ground in 2 s. If acceleration due to gravity is 9.8 m s-2, then the velocity of object on reaching the ground will be
What force, in newton, your muscles need to apply to hold a mass of 5 kg in your hand? State the assumption.
State whether the below statement is True or False.
Neglecting air resistance, a body falling freely near the earth's surface has a constant acceleration.
