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The gravitational acceleration at the surface of a certain planet is 48 m/s^2. C

ID: 1489193 • Letter: T

Question

The gravitational acceleration at the surface of a certain planet is 48 m/s^2. Calculate the weight of (the gravitational force on) a 2-kg object at the surface. Find the object's mass and weight at a height where the gravitational acceleration is 27 m/s^2. How far from the center of the planet, relative to the planet's radius R, is the position in part (b) A 6-kg log has the same volume as 10 kg of water. When floating, what fraction of the log is submerged How much downward force is needed to submerge it fully

Explanation / Answer

a) weight=w=mg=2kg*48 m/s2=96 N

b) m'=2kg

w'=27*2=54N

c) g'=gR^2/r'^2

r'=sqrt(g/g')R=sqrt(48/27)=1.33

r'=1.33

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