Home
Class 10
PHYSICS
If the mass of a Planet is eight times ...

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 ?

Text Solution

Verified by Experts

Given (1) The mass of the planet (M) is eight times the mass of the earth , i.e, ` 8 xx 6 xx 10^(24) ` kg. (2) The radius of the plant (R ) twice the radius of the earth i.e, ` 2 xx 6.4 xx 10^(6)` km. (3) G ` = 6.67 xx 10^(-11) N.M^(2) // kg^(2)`
Escape velocity for that planet ` v_(ese) = sqrt((2GM)/R)`
= `sqrt((2xx 6.67 xx 10^(-11)N.m^(2)kg^(2)xx8xx6xx10^(24)kg)/(2xx 6.4 xx 10^(6)m))`
` sqrt((20.01)/4) xx 10^(4) m =s = 2.237 xx 10^(4) m//s = 22.37 km//s`
Promotional Banner

Topper's Solved these Questions

  • NUMERICAL EXAMPLES

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Examples for Practice|22 Videos

  • NUMERICAL EXAMPLES

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Lenses|14 Videos

  • NAME THE FOLLOWING/WRITE THE CHEMICAL FORMULA/ELECTRONIC CONFIGURATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Lenses|7 Videos

  • PARAGRAPH BASED QUESTIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise LENSES|5 Videos

Similar Questions

Explore conceptually related problems

The escape velocity for the earth is 11.2 km / sec . The mass of another planet is 100 times that of the earth and its radius is 4 times that of the earth. The escape velocity for this planet will be

The mass of (an imaginary) planet 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 11.2xx10^(3)m//s . Find the escape velocity of a body from the planet.

The mass of a planet is four times that of the earth and its radius is double the radius of earth . The escape velocity of a body from the earth is 11.2xx 10^(3) m/s. Find the escape velocity of a body from the plant .

The acceleration due to gravity on a planet is same as that on earth and its radius is four times that of earth. What will be the value of escape velocity on that planet if it is v_(e) on earth

The mass of a planet is six times that of the earth. The radius of the planet is twice that of the earth. It's the escape velocity from the earth is v , then the escape velocity from the planet is:

The mass of Saturn is 95 times that of earth and radius is 9.5 times the radius of earth. What will be escape velocity on the surface of saturn if the escape velocity on earth's surface is 11.2 kms^(-1) ?

If acceleration due to gravity on the surface of a planet is two times that on surface of earth and its radius is double that of earth. Then escape velocity from the surface of that planet in comparison to earth will be