Answer:
On the ceiling, a spring is attached with a 3 kg mass to the other end. Here on earth, the displacement is 0.15m. What would be the displacement of the spring on Mars if the planet has a gravitational acceleration of g= 3.71 m/s2.
Step 1
The mass of the object is m=3 kg.
On Earth,
The acceleration due to gravity is ge=9.81 m/s2.
The displacement is ∆1=0.15 m.
On Mars,
The acceleration due to gravity is gm=3.71 m/s2.
The displacement is ∆2=?.
The relation si given by,
k∆=mg
The spring constant will be the same irrespective of the planet.
Step 2
From the given information,
k×0.15k×∆2==3×9.81 ...(1)3×3.71 ...(2)
Take the ratio of both the equations,
0.15∆2∆2==9.813.710.0567 m
Therefore, the displacement on Mars is 0.0567 m.
Explanation:
