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White raven [17]
3 years ago
7

An astronaut weighs 200 N on the Moon where gravity is 1.62 m/s/s. Find his weight on Earth. HELP PLEASE FAST

Physics
1 answer:
Elena-2011 [213]3 years ago
3 0

Answer:

the weight of the astronaut on Earth is 1209.88 N

Explanation:

Given;

weight of the astronaut, W = 200 N

acceleration due to gravity on moon, g = 1.62 m/s²

Apply Newton's second law of motion to determine the mass of the astronaut;

F = ma = mg

m = F/g

m = 200 / 1.62

m = 123.457 kg

The weight of the astronaut on Earth is calculated as follows;

F = mg

where;

g is acceleration due to gravity on Earth = 9.8 m/s²

F = 123.457 x 9.8

F = 1209.88 N

Therefore, the weight of the astronaut on Earth is 1209.88 N

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Answer:

1.69\cdot 10^{10}J

Explanation:

The total energy of the satellite when it is still in orbit is given by the formula

E=-G\frac{mM}{2r}

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U = -G\frac{mM}{r}=-(6.67\cdot 10^{-11})\frac{(525 kg)(5.98\cdot 10^{24}kg)}{6.37\cdot 10^6 m}=-3.29\cdot 10^{10} J

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v=1.90 km/s = 1900 m/s

it also has kinetic energy:

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So the total energy when the satellite hits the ground is

E_f = U+K=-3.29\cdot 10^{10}J+9.48\cdot 10^8 J=-3.20\cdot 10^{10} J

So the energy transformed into internal energy due to air friction is the difference between the total initial energy and the total final energy of the satellite:

\Delta E=E_i-E_f=-1.51\cdot 10^{10} J-(-3.20\cdot 10^{10} J)=1.69\cdot 10^{10}J

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