Answer on Question 83629, Physics, Other
Question:
You weigh
. What would you weigh if the Earth were two times as massive as it is and its radius were three times its present value? Answer in units of N.
Solution:
From the definition of the weight, we have:
,
here,
is the mass of the person,
is the acceleration due to gravity.
By the definition of the acceleration due to gravity, we have:
,
here,
is the universal gravitational constant,
is the mass of the Earth and
is the radius of the Earth.
Substituting the expression for
into the first equation, we get:
.
Then, we can find the new weight from the relationship:
,
.
Finally, we get:
.
Answer:
.
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