Physics

posted by .

Suppose a planet is discovered orbiting a distant star with 13 times the mass of the Earth and 1/13 its radius. How does the escape speed on this planet compare with that of the Earth?

Ve new
------- =
ve earth

  • Physics -

    Escape velocity derives from Ve = sqrt[2µ/r] where Ve = escape velocity in ft/sec., µ = the gravitational constant of the earth and r = the surface radius.

    µ can also be stated as GM where G = the gravitational and M = the mass of the planet.

    Therefore, Ve can be simply expressed by
    Ve = sqrt[2(13)µ/(r/13)] = sqrt[169(2µ/r] =
    13 times earth's escape velocity of Ve = 36,747fps = 25,054mph or 325,712mph.

    V(new)/V(earth) = 13

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics help 3!! **

    Based on the following data about planet X (which orbits around the Sun): Planet X's distance from Sun = 3.6*1012 m Planet X's radius = 2*106 m Planet X's mass = 8.2*1022 kg a.) Find gx, the size of the acceleration due to gravity …
  2. physics

    Astonomers discover a new planet orbiting a fixed point in space, but for reasons unknown, they can't directly observe a star where one is expected. The radius of the orbit is measured to be 1.85 x 10^8 km, and the lone planet completes …
  3. Chemistry

    A newly discovered giant planet has an aver- age radius 12 times that of the Earth and a mass 722 times that of the Earth. Calculate the ratio of the new planet’s den- sity to the Earth’s density.
  4. college

    A spaceship lands on the planet whose radius is 5 times that of planet earth and whose mass is 25 times that of planet earth. Find the apparent weight of the astronaut on the second planet if the astronaut weighs 150lbs on planet earth
  5. Physics

    A simple pendulum has a period T on the surface of planet Earth. When taken to the surface of planet X, the same pendulum has a period 2T. a) If the radius of planet X is 1/2 the radius of Earth, what is the mass of Planet X, relative …
  6. Physics

    Suppose a new extrasolar planet is discovered. Its mass is double the mass of the Earth, but it has the same density and spherical shape as the Earth. How would the weight of an object at the new planet's surface differ from its weight …
  7. college physics

    new planet is discovered orbiting a distant star. Observations have confirmed that the planet has a circular orbit with a radius of 21 AU and takes 118 days to orbit the star. Determine the mass of the star. State your answer with …
  8. physics

    A planet has a radius of about 0.85 times Earth's radius and a mass of only 0.74 times Earth's mass. Estimate the acceleration due to gravity on the planet. Use M_{Earth} = 5.972 x 10^{24} kilograms and r_{Earth} = 6370 kilometers …
  9. Physics

    A distant planet has a mass of 0.6400 ME and a radius of 0.9000 RE. What is the ratio of the escape speed from this planet to the escape speed from the earth?
  10. Physics

    A distant planet has a mass of 0.6400 ME and a radius of 0.9000 RE. What is the ratio of the escape speed from this planet to the escape speed from the earth?

More Similar Questions