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 free fall?
What do you mean by acceleration due to gravity?
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.
State whether the following statement is true or false :
A falling stone also attracts the earth.
Fill in the following blank with suitable word :
The acceleration due to gravity on the moon is about ………………of that on the earth.
During a free fall, will heavier objects accelerate more than lighter ones ?
Explain why, a wide steel belt is provided over the wheels of an army tank.
Name the force which wears away two surfaces as they move over one another.
i) If g = GM/r2 then where will the value of g be high at Goa Beach or on top of Mount Everest?
For freely falling object we can write the Newton’s second equation of motion as …..
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 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)
What is escape velocity?
In vacuum, all freely falling objects have the same force. Is it true?
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.
Explain why:
Objects fall to the earth.
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.
