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Answered

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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​

Sagot :

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:

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