How High Must a Rocket Travel for Its Weight to Be 0.4 Times Its Surface Weight?

In summary, the weight of the rocket at 0.4 t is 400 kg. The rocket needs to go approximately 3,921,568 meters above the earth's surface to reach 0.4 t. The weight of the rocket decreases as it goes higher due to the decrease in gravitational pull from the earth. No, the weight of the rocket is not the only factor. Other factors, such as thrust and air resistance, also play a role in determining its height. No, a rocket cannot reach a weight of 0.4 t while still on the earth's surface as the gravitational pull of the earth would make it impossible to reach such a low weight.
  • #1
ahsanmhamid
9
0
how high does a rocket have to go above the Earth's surface until its weight is 0.4 times its weight on the Earth's surface ? The radius of the Earth is 6.37 * 10 ^ 6m and the acceleration of gravity is 9.8 m/s^2. Answer in units of km.

what i got so far, i need help proceeding:

Applying the inverse-square law:

Final weight = 0.4 g = (1/2.5) g

The square root of 2.5 = 1.581

im stuck here, thanks :)
 
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  • #2
??

Wherever have used or set up the inverse square law?
 
  • #3
weight on surface = G*m*M/radius^2

0.4*weight on surface = G*m*M/x^2

Solve for x.
 

FAQ: How High Must a Rocket Travel for Its Weight to Be 0.4 Times Its Surface Weight?

What is the weight of the rocket at 0.4 t?

The weight of the rocket at 0.4 t is 400 kg.

How high does the rocket have to go above the earth's surface to reach 0.4 t?

The rocket needs to go approximately 3,921,568 meters above the earth's surface to reach 0.4 t.

How does the weight of the rocket decrease as it goes higher?

The weight of the rocket decreases as it goes higher due to the decrease in gravitational pull from the earth.

Is the weight of the rocket the only factor in determining its height?

No, the weight of the rocket is not the only factor. Other factors, such as thrust and air resistance, also play a role in determining its height.

Can a rocket ever reach a weight of 0.4 t while still on the earth's surface?

No, a rocket cannot reach a weight of 0.4 t while still on the earth's surface as the gravitational pull of the earth would make it impossible to reach such a low weight.

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