On the earth, when an astronaut throws a 0.250-kg stone vertically upward, it returns to his hand a time T later. On planet X he

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On the earth, when an astronaut throws a 0.250-kg stone vertically upward, it returns to his hand a time T later. On planet X he

finds that, under the same circumstances, the stone returns to his hand in 2T. In both cases, he throws the stone with the same initial velocity and it feels negligible air resistance. The acceleration due to gravity on planet X (in terms of g) is _______.a) g/. b) g/4. c) 2g. d) g/2. e) g.

Physics

1 answer:

inna [3.1K] · Answer 1 · 2026-02-22T17:06:30+03:00

Answer:

The correct option is d) a ’= g / 2

Explanation:

To address this scenario, we will apply the equations of kinematics.

On Earth:

v = v₀ - a t

a = (v₀- v) / T

On Planet X:

v = v₀ - a' t’

a ’= (v₀-v) / 2T

Let’s insert the terrestrial values into the model for Planet X:

a’= a / 2

Now applying Newton's second law:

W = ma

m g = m a

a = g

Upon substitution:

a ’= g / 2

Thus, we conclude that on Planet X, the gravitational acceleration is half that of Earth's.