Physics

Zero, a hypothetical planet, has a mass of 1.0x10^23 kg, a radius of 3.0x10^6 m, and no atmosphere. A 10 kg space probe is to be launched vertically from its surface.
(a) If the probe is launched with an initial kinetic energy of 5.0x10^7 J, what will be its kinetic energy when it is 4.0x10^6 m from the center of Zero?
(b) If the probe is to achieve a maximum distance of 8.0x10^6 m from the center of Zero, with what initial kinetic energy must it be launched from the surface of Zero?

For Further Reading

* Physics/Math - drwls, Wednesday, March 7, 2007 at 5:55am

Use the rel;ationship
KE + Potential energy) = constant.

The potential energy at distance R from the center is
-GMm/R
M is the planet's mass and m is the probes.
That means (1/2) mV^2 - GMm/R = constant
Use that fact to compute the unknown kinetic energy in each problem

---------------------

this is what i did..

V = sqrt(2GM/R)
V = sqrt(2(6.67e-11)(1.0e23)/(3.0e6))
V = 2108.7
[..would i use earth's gravity for this question? .. if not.. what should i use for G?]

then..

(1/2) mV^2 - GMm/R = constant
(.5(10)(2108.7)^2 - ((6.67e-11)(1.0e23)(10)/(4.0e6))
111165392.3 - 16675000 = 94490392.3 = 9.4e7

.. what am i doing wrong?

and how would i go about with the 2nd question?

please help!! thanks! :)

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. COLLEGE PHYSICS

    a uniform bridge span weighs 50x10^3 and is 40m long. A car weighing 15X10^3 is parked with its center of gravity located 12m from the right pier. what upward support force does the left pier provide? im lost....this is what i

  2. 8th Grade math PLEASE CHECK MY ANSWERES

    1.Write the number in standard form: 7.1x10^4 A)710 B)7,100 C)71,000 D)710,000*** 2.Write the number in standard form: 5.01x10^-3 A)5,010 B)0.501 C)0.0501 D)0.00501*** 3.Multiply (2.0x10^4)(3.0x10^3)=? A)6.0x10^7*** B)6.0x10^12

  3. science

    A vehicle is travelling 1.0x10^2 km/h. what is the spped of the vehicle in metres per second? 28m/s 27.8m/s 3.6x10^2m/s 1.0x10^4m/s

  4. physics

    A 3.3 kg mass weighs 30.03 N on the surface of a planet similar to Earth. The radius of this planet is roughly 7.4 × 106 m. Calculate the mass of of this planet. The value of the universal gravitational constant is 6.67259 ×

  1. Science

    1.The sound from a bolt of lighting travelled 4.08km in 12.0s. whats was the spped of the sound in metres per second? 0.340m/s 49.0m/s 340m/s 343m/s 2.A vehicle is travelling 1.0x10^2 km/h. what is the spped of the vehicle in

  2. Physics

    A circular loop of radius 0.10m is rotating in a uniform magnetic field of 0.20T. Find magnetic flux B F through the loop and the magnetic field vector in Figure 1 a) Are parallel b) Are perpendicular c) Are at 30o (Ans: 0,

  3. Physics

    A wasp accumulates 1.0x10^-14C of charge while flying perpendicular to the earth's magnetic field of 4.0X10^-5T. How fast is the wasp flying if the magnetic force acting on it is 3.0x 10^-16N?

  4. Physics

    When sugar is poured from the box into a bowl , the rubbing of the sugar grains create a static charge that repels the grains , and causes the sugar to go flying out in all directions. If each of two grains acquires a charge of

  1. Chemistry

    This question has been bugging me for a long time. A rock contains a Pb-206 to U-238 mass ratio of .145 to 1.00. Assuming that it did not contain any Pb-206 at the beginning of its formation, determine its age. I assume from the

  2. astronomy

    Rank the following hypothetical planets -- all of which have the same total mass and same radius -- from lowest moment of inertia to highest moment of inertia: 1) A uniform sphere of mixed up rock and iron 2) A rocky planet with

  3. science

    if all of the following imaginary planets were the same distance from the sun, which would experience the strongest force of gravity due to the sun? planet a: mass 3,500 kg planet b: mass 50,000 kg planet c: mass 750 kg planet d:

  4. Physics

    The volume of a gas is changed along the curved line between A and B in the drawing. Do not assume that the curved line is an isotherm or that the gas is ideal. pressure and volume are: 2.0x10^4 Pa and 2.0x10^(-3) m^3 (a) Find the

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