Advertisements
Advertisements
Question
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
Solution
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
RELATED QUESTIONS
Gravitational force acts on all objects in proportion to their masses. Why then, a heavy object does not fall faster than a light object?
What is the acceleration of free fall?
When an object is dropped from a height, it accelerates and falls down. Name the force which accelerates the object.
Fill in the following blank with suitable word :
The acceleration due to gravity on the moon is about ………………of that on the earth.
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.
Name the force which pulled the apple off Isaac Newton’s tree.
Solve the problem.
If the mass of a planet is eight times the mass of the Earth and its radius is twice the radius of the Earth, what will be the escape velocity for that planet?
The value of acceleration due to gravity of earth :
Choose one or more correct alternatives.
Which of the forces involved in dragging a heavy object on a smooth, horizontal surface, have the same magnitude?
- The horizontal applied force
- gravitational force
- reaction force in vertical direction
- force of friction
The total energy of an object falling freely towards the ground ______.
The acceleration produced in a body by a force of given magnitude depends on
A force of 10 N acts on a body of mass 5 kg. Find the acceleration produced.
A force acts for 10 s on a stationary body of mass 100 kg, after which the force ceases to act. The body moves through a distance of 100 m in the next 5 s. Calculate : The acceleration produced by the force
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)
A car is moving with a uniform velocity 30 ms-1. It is stopped in 2 s by applying a force of 1500 N through its brakes. Calculate the following values : The retardation produced in car.
How are g and G realated ?
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.
Define acceleration due to gravity.
Write the acceleration due to gravity value on the surface of Earth.
