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Jupiter has a gravitational constant of 24.79 m/ s^2. If a space probe is 25 meters above the planet's surface, it generates 25000 J (Joules) to escape. How much does the probe weigh?

Please answer quickly, and 50 points to the whoever answers.

How much does the probe weigh?

User Jangxx
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1 Answer

20 votes
20 votes

Answer:

100.3 kg

Step-by-step explanation:

To find the weight of the probe, you can use the formula for gravitational potential energy:

GPE = mgh

where GPE is the gravitational potential energy, m is the mass of the object, g is the gravitational acceleration, and h is the height above the surface.

In this case, the GPE is 25000 J, the gravitational acceleration is 24.79 m/s^2, and the height above the surface is 25 meters. You can solve for the mass of the object by rearranging the formula:

m = GPE / (g * h) = (25000 J) / (24.79 m/s^2 * 25 m) = 100.3 kg

Therefore, the mass of the probe is approximately 100.3 kg. This is also the weight of the probe, since weight is equal to mass times the acceleration due to gravity. The final answer is 100.3 kg.

User Keto
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