Kinetic energy of space probe problem

In summary, the conversation is about calculating the kinetic energy needed for a 10-kg space probe to be launched from the surface of Planet Zero to reach a maximum distance of 4.0*10^6 m from its center. The method of finding this energy involves calculating the difference in gravitational potential between the probe at the surface and at the desired distance. The individuals discussing the question are advising on double-checking calculations and being careful with signs.
  • #1
chouZ
11
0

Homework Statement


Planet Zero has a mass of 4.0*10^23 kg and a radius of 2.0*10^6 m . With what kinetic energy should a 10-kg space probe be launched vertically from the surface of Zero so as to achieve a maximum distance of 4.0*10^6 m from Zero's center?

The Attempt at a Solution


I found the initial potential Energy, U=(GMm/radius planet Zero) and then the mecahnical energy at the end, E= - (GMm/2d)

its not right..HELP!
 
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  • #2
I think most likely you are not using the right values for the distance.

The question is effective asking for the difference in gravitational potential of two configurations, and they are:

1. The space probe on the surface of this planet (distance of 2.0x10^6 from center)
2. The space probe at a distance off the surface (distance of 4.0x10^6 from the center)

Try doing the calculations carefully again.
 
  • #3
How do you know it isn't right? What did you get for your final value? Be careful of your signs.
 

1. What is kinetic energy?

Kinetic energy is the energy an object possesses due to its motion. It is calculated using the formula KE = 1/2 * m * v^2, where m is the mass of the object and v is its velocity.

2. How is kinetic energy related to space probes?

The kinetic energy of a space probe is important because it affects its speed and its ability to travel through space. In order for a space probe to reach its destination, it needs enough kinetic energy to overcome the force of gravity and other obstacles.

3. How is kinetic energy of a space probe problem solved?

The kinetic energy of a space probe problem can be solved by using the formula KE = 1/2 * m * v^2 and plugging in the given values for mass and velocity. It is important to make sure that the units are consistent, such as using meters per second for velocity and kilograms for mass.

4. What factors can affect the kinetic energy of a space probe?

The kinetic energy of a space probe can be affected by factors such as its mass, velocity, and any external forces acting upon it. Changes in the space probe's trajectory or speed can also affect its kinetic energy.

5. How is the kinetic energy of a space probe important in its mission?

The kinetic energy of a space probe is crucial in determining whether it will successfully complete its mission. If the space probe does not have enough kinetic energy, it may not be able to reach its intended destination or maneuver around obstacles. Additionally, the kinetic energy of a space probe can be harnessed for various purposes, such as powering scientific instruments or adjusting its course.

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