Physics

Standing on the surface of a small spherical moon whose radius is 6.30 104 m and whose mass is 8.00 1018 kg, an astronaut throws a rock of mass 2.02 kg straight upward with an initial speed 42.2 m/s. (This moon is too small to have an atmosphere.) What maximum height above the surface of the moon will the rock reach?

The answer is 7400 m. Could someone show me the steps to get this answer? Thank you in advance.

  1. 👍 0
  2. 👎 0
  3. 👁 604
  1. Gravtational acceleration is = GM/r^2
    At the surface , that is

    6.673*10^-11 * 8.00*10^18 / (6.30*10^4)^2 = 0.1345

    h = Vot - 1/2 at^2
    = 42.2t - .06725 t^2

    h=0 at t=0, 627.5

    h is max halfway between the roots, at t = 313.75

    h(313.75) = 6620.223

    Check my typing and math -- I don't get 7400.

    1. 👍 0
    2. 👎 0
  2. I'm getting a negative answer when I checked your math. Also, shouldn't the mass of the rock be considered?

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    Suppose an astronaut drops a feather from 1.4 m above the surface of the Moon. If the acceleration due to gravity on the Moon is 1.62 m/s2 downward, how long does it take the feather to hit the Moon's surface?

  2. Science Physics

    On the surface of the Moon an astronaut has a weight of Fg = 120 N. The radius of the Moon is Rm = 1.74 x 106 m, the gravitational constant is G = 6.67 x 10-11 N m2kg2 and the mass of the Moon is Mm = 7.35 x 1022 kg. Solve

  3. Physics

    The average distance separating Earth and the Moon (center to center) is 384 000 km. Use the data in Table 7.3 to find the net gravitational force exerted by Earth and the Moon on a 3.00 multiplied by 104 kg spaceship located

  4. advanced functions

    The Moon has a diameter of about 3480 km and an orbital radius of about 384 400 km from the centre of Earth. Suppose that the Moon is directly overhead. What is the measure of the angle subtended by the diameter to the Moon as

  1. Physics

    The radius of moon is 27% of the earth radius and its mass is 1.2 % of the earth mass find the acc due to gravity on surface of moon?

  2. physics

    Whenever two Apollo astronauts were on the surface of the Moon, a third astronaut orbited the Moon. Assume the orbit to be circular and 720 km above the surface of the Moon, where the acceleration due to gravity is 0.839 m/s2. The

  3. Physics

    Small, slowly moving spherical particles experience a drag force given by Stokes' law: Fd = 6πηrv where r is the radius of the particle, v is its speed, and η is the coefficient of viscosity of the fluid medium. (a) Estimate

  4. Math

    A spherical balloon is being inflated. Given that the volume of a sphere in terms of its radius is V(r) =4/3 πr^3 and the surface area of a sphere in terms of its radius is S(r) = 4 πr^2, estimate the rate at which the volume of

  1. Science: Physics

    A spherical metal dome of radius 15 cm is electrically charged. It has a positive charge of +2.5 μC distributed uniformly on its surface. a. Calculate the electric field strength on the surface of the dome. b. Explain how your

  2. Physics

    The acceleration of gravity at the surface of the moon is approximately 1/6 that at the surface of the Earth (9.8m/s). What is the weight of an astronaut standing on the moon whose weight on Earth is 180lbs?

  3. physics

    Calculate the mass of moon if free fall acceleration near it surface is know be 1.62 m/s^2 ( radius of moon is 1738 Km )

  4. physics

    A box is dropped from a spacecraft moving horizontally at 27.0 m/s at a distance of 155 m above the surface of a moon. The rate of freefall acceleration on this airless moon is 2.79 m/s2. (a) How long does it take for the box to

You can view more similar questions or ask a new question.