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Colin, Joris-o Joris-Blac WebAssign the same object on Earth\'s surface QUESTION

ID: 1773800 • Letter: C

Question

Colin, Joris-o Joris-Blac WebAssign the same object on Earth's surface QUESTION A volume of rock has a mass roughly three times a similar volume of world is made of ice whereas another world with the same radius is made of rock. If g is the acceleration of gravity on the surface of the ice world, what is the approximate acceleration of gravity on the rock ice. Suppose one world? PRACTICE IT Use the worked example above to help you solve this problem. An astronaut on a space mission lands on a planet with three times the mass and four times the radius of Earth. What is her weight w on thi planet as a multiple of her Earth weight wE? HINTS: GETTING STARTED I TM STUCK EXERCISE An astronaut lands on a moon that has one-twentieth the mass of Earth and one-fourth the radius. Find the weight of the astronaut standing on this moon in terms of his Earth weight wp. WE Need Help? [. Read it

Explanation / Answer

The gravitational force between two bodies is proportional to both the mass of the body and the inverse of the distance from the center of the body squared (as we are treating them as a point mass).

Force, F1 = F2 = GM1 M2 / r2

Therefore if nothing changes but the mass of the planet (such as the change from ice to rock) the change in mass is directly proportional to the change in gravity.

So, approximate acceleration due to gravity would be 3 times g.

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