Physics

posted by .

Escape velocity from the surface of earth depends upon mass of the earth and radius of the earth. Find the realtion between these quantities dimensionely.

  • Physics -

    You can determine the minimal escape velocity required to escape from any planet yourself. Escape velocity from a planet is given by Ve = sqrt[2µ/r] where Ve = escape velocity in feet per second, µ = the planet's gravitational constant, ft.^3/sec.^2 (equal to GM where G = the Universal Gravitational Constant and M = the mass of the planet), and r = the radial distance from the center of the planet in feet. For the earth, µ = 1.407974x10^16 and r = 3963 miles = 20,924,640 ft. so the general escape velocity, direct from the surface, would be Ve = sqrt[2(1.407974x10^16)]/20,924,640 = ~36,685 ft./sec. = ~25,007 mph.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    Earth has a mass of 5.97x10^24kg and a radius of 6.38x10^6m. Find the wight of a 65.0kg person on the surface of the earth and 1000km above the surface of earth?
  2. physics

    the mass of a body is 50 kg on the surface of the earth.find its weight on the surface of a planet whose mass is double than the mass of the earth and radius is 5 times the radius of the earth
  3. physics/math

    Calculate the magnitude of the gravitational force between the Earth and an m = 6.00 kg mass on the surface of the Earth. The distance to the center of the Earth from the surface is 6.37×103 km and the mass of the Earth is 5.98×1024 …
  4. Physics

    a. 2 objects each of mass 200 kg and 500 kg are separated by 50 cm. Where body of mass 20 kg should be placed so that the resultant force of gravity experienced by objects equal to zero?
  5. ALGEBRA

    A satalites escape velocity is 6.5 mi/sec, the radius of the earth is 3960 miles and the earth's gravitational constant(g) is 32.2 ft/sec^2 How far is the satelite from the surface of the earth?
  6. earth

    A satellite's escape velocity is 6.mi./sec, the radius of the earth is 3960 mi, and the earth's gravitational constant (g) is 32.2 ft./sec^2. How far is the satellite from the surface of the earth?
  7. Physics

    Take into account the Earth's rotational speed (1 rev/day) and use 5 significant figures. (a) Determine the necessary speed, with respect to Earth, for a rocket to escape if fired from the Earth at the equator in a direction eastward. …
  8. Physics

    Calculate the escape velocity of a satellite launched from the earth surface if the radius of the earth is 6.4x10^6m
  9. Physics

    calculate the escape velocity on the surface of earth, acceleration due to gravity will be 36 percent of its value on the surface of earth .if mean radius is 6400 km?
  10. Physics

    What is the Earth's gravitational force on you when you are standing on the Earth and when you are riding in the Space Shuttle 380 km above the Earth's surface?

More Similar Questions