Escape Speed from Earth for 7500kg Spacecraft

In summary, the escape speed from Earth for a 7500kg spacecraft is approximately 3.4*10ms, calculated using the formula square root of 2GM/R, with the given values of the radius of Earth (6.38*10m) and mass of Earth (5.98*10kg). The correct value for G is approximately 6.673x10-11 m3/kg*s2.
  • #1
kubombelar
9
0
what is the escape speed from Earth for a 7500kg spacecraft ?
radius of Earth is 6.38*10m and mass is 5.98*10kg.

Homework Equations


square root of 2GM/R

3. The Attempt at a Solution . I found escape speed to be 3.4*10ms. Is this right?
 
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  • #2
The radius of the Earth is 6.371x106 m.
The mass of the Earth is 5.9742x1024 Kg.

Your answer is not correct.
 
  • #3
jimmy those were the given values in my test. And am still finding the same answers with yo values
 
  • #4
kubombelar said:
I found escape speed to be 3.4*10ms.
Show the details of your calculation. (Including the exponents!)
 
  • #5
What value are you using for G?

G is approximately 6.673x10-11 m3/kg*s2
 

Related to Escape Speed from Earth for 7500kg Spacecraft

1. What is escape speed from Earth for a 7500kg spacecraft?

The escape speed from Earth for a 7500kg spacecraft is approximately 11.2 kilometers per second. This is the minimum speed required for the spacecraft to break free from Earth's gravitational pull and enter into orbit around the Earth.

2. How is the escape speed calculated?

The escape speed is calculated using the formula v = √(2GM/R), where G is the universal gravitational constant, M is the mass of the Earth, and R is the distance from the center of the Earth to the spacecraft. This formula takes into account the gravitational force between the Earth and the spacecraft.

3. Can the escape speed vary for different spacecraft?

Yes, the escape speed can vary for different spacecraft depending on their mass and distance from the Earth. The formula for calculating escape speed takes into account the mass of the spacecraft, so a larger spacecraft would require a higher escape speed.

4. What is the significance of escape speed for space missions?

Escape speed is crucial for space missions as it determines whether a spacecraft can successfully leave Earth's orbit and travel to other planets or objects in space. It also plays a role in the trajectory and speed of the spacecraft during its journey.

5. Are there other factors that can affect the escape speed?

Yes, there are other factors that can affect the escape speed, such as the atmosphere and weather conditions. The presence of an atmosphere can create drag and increase the escape speed required for a spacecraft. Wind and other weather conditions can also affect the trajectory and speed of the spacecraft during launch.

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