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Sophie [7]
3 years ago
14

What would be the weight of a 59.1-kg astronaut on a planet with the same density as Earth and having twice Earth's radius?

Physics
1 answer:
Olegator [25]3 years ago
5 0
You could always directly use F = G M m / r², but that takes forever. 

<span>It is best to know that, on Earth's surface, the astronaut would weigh </span>
<span>F = m g = 579.2 N </span>
<span>where m = 59.1 kg and g = 9.8 m/s². </span>

<span>You then notice from F = G M m / r² that doubling the mass of the earth would double his weight and doubling the radius would give 1/4 his original weight. So... </span>
<span>F = 1/4 * 2 * 579.2 N = 290 N </span>
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Answer:

g = 11.2 m/s²

Explanation:

First, we will calculate the time period of the pendulum:

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Therefore,

T = \frac{135\ s}{98}

T = 1.38 s

Now, we utilize the second formula for the time period of the simple pendulum, given as follows:

T = 2\pi \sqrt{\frac{l}{g}}

where,

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g = acceleration due to gravity on the planet = ?

Therefore,

(1.38\ s)^2 = 4\pi^2(\frac{0.54\ m}{g} )\\\\g = \frac{4\pi^2(0.54\ m)}{(1.38\ s)^2}

<u>g = 11.2 m/s²</u>

3 0
2 years ago
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