physics

A rocket is fired straight up through the atmosphere from the South Pole, burning out at an altitude of 208 km when traveling at 5.8 km/s.
(a) What maximum distance from Earth's surface does it travel before falling back to Earth?

asked by nate
  1. The Earth's radius is Re = 6378 km.
    Burnout occurs when R = 6586 km.

    At the highest altitude, the burnout kinetic energy equals the gain in potential energy.
    (1/2) M V^2 = GM[1/R - 1/(R+h)]

    Solve for R+h. R+h-Re is the distance from the surface of the earth.

    M is the Earth's mass and G is the universal constant of gravity.

    In case you don't want to look up M and G,you can use the fact that

    GM/Re^2 = g = 9.81 m/s^2

    posted by drwls

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    A rocket is fired straight up through the atmosphere from the South Pole, burning out at an altitude of 208 km when traveling at 5.8 km/s. (a) What maximum distance from Earth's surface does it travel before falling back to Earth?
  2. physics

    You have designed a rocket to be used to sample the local atmosphere for pollution. It is fired vertically with a constant upward acceleration of 19 m/s2. After 23 s, the engine shuts off and the rocket continues rising (in
  3. math

    a model rocket is projected straight upward from the ground level. It is fired with an initial velocity of 192 ft/s. How high is the rocket after 10 seconds? When is the rocket at a height of 432 feet? What is the maximum height
  4. physics

    A test rocket is fired straight up from rest. The net acceleration is 20 m/s2 upward and continues for 4.0 seconds, at which time the rocket engines cease firing. What maximum elevation does the rocket reach?
  5. physics

    You have designed a rocket to be used to sample the local atmosphere for pollution. It is fired vertically with a constant upward acceleration of 17 m/s2. After 20 s, the engine shuts off and the rocket continues rising (in
  6. physics

    A rocket is fired at a speed of 75.0 m/s from ground level, at an angle of 64.7¡ã above the horizontal. The rocket is fired toward an 11.0 m high wall, which is located 25.0 m away. The rocket attains its launch speed in a
  7. Physics

    A rocket is fired at a speed of 96.0 m/s from ground level, at an angle of 35.0 ° above the horizontal. The rocket is fired toward an 15.2-m high wall, which is located 32.0 m away. The rocket attains its launch speed in a
  8. physics

    A rocket is fired at a speed of 54.0 m/s from ground level, at an angle of 63.0 ° above the horizontal. The rocket is fired toward an 52.8-m high wall, which is located 37.0 m away. The rocket attains its launch speed in a
  9. physics

    A rocket is fired at a speed of 75.0 m/s from ground level, at an angle of 68.0° above the horizontal. The rocket is fired toward an 11.0 m high wall, which is located 26.5 m away. The rocket attains its launch speed in a
  10. Physics

    A rocket is fired at a speed of 75.0 m/s from ground level, at an angle of 56.3 ° above the horizontal. The rocket is fired toward an 11.0-m high wall, which is located 21.5 m away. The rocket attains its launch speed in a

More Similar Questions