Question

To measure the mass of a planet with the same
radius as earth, an astronaut drops an object from
rest (relative to the planet) from an altitude of one
radius above the surface. When the object hits, its
speed is 4 times what it would be if the same
experiment were carried out for Earth. The ratio
of mass of planet to the mass of earth is
(1) 2
(2)4
(4) 16
(3) 8​

Answer 1

Answer:

(4) 16

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Answer 2

1.5%

Precise measurement of the Earth mass is difficult, as it is equivalent to measuring the gravitational constant, which is the fundamental physical constant known with least accuracy, due to the relative weakness of the gravitational force.