Answer:
a. 245 m
b. 40 m
c. The g-value of Mars is smaller than that of Earth.
Explanation:
From the question, the distance the object has fallen due to gravity is given by
Earth
Given that g= 9.8 m/s²,
d= 9.8t²
(a) When t= 5,
d
= 9.8(5²)
= 9.8(25)
= 245 m
Moon
Given that g= 1.6 m/s²,
d= 1.6t²
(b) When t= 5,
d
= 1.6(5²)
= 40 m
Mars
(c) Relationship: smaller g, smaller d
Given the same value of t, which is 5 seconds, we are given that the distance (d) is 46.25 m.
This distance is smaller that than when dropped near the surface of the earth, but larger than that when dropped near the surface of the moon.
In summary,
- d of Mars (45.25 m) <d of Earth (245 m)
- Thus g of Mars <g of Earth
Thus, we can conclude that the g-value on Mars is smaller than that of the Earth.