Tuesday

September 16, 2014

September 16, 2014

Posted by **TechnoBoi11** on Friday, March 9, 2007 at 8:52pm.

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! :)

**Answer this Question**

**Related Questions**

Physics - Zero, a hypothetical planet, has a mass of 1.0x10^23 kg, a radius of 3...

Physics/Math - Ok...I figured out part a but I am having trouble with b. part a ...

Physics/Math - Ok...I figured out part a but I am having trouble with b. part a ...

Physics - Zero, a hypothetical planet, has a mass of 2.7 x 10^23 kg, a radius of...

Physics - Astronomers can calculate the mass of a planet by using the orbital ...

Chemistry - what is Kc at 25 celsius for the following equilibrium? CH3BH3^+ +...

astronomy - Rank the following hypothetical planets -- all of which have the ...

physics - Zero, a hypothetical planet, has a mass of 3.0*10^23 kg, a radius of 3...

physics - A particle with a charge of -4.0x10^-5 C, a mass of 2.0x10^-7 kg and a...

physics - A particle with a charge of -4.0x10^-5 C, a mass of 2.0x10^-7 kg and a...