A spring with a spring constant of k = 185.0 N / m is oriented vertically, with one end on the ground. What distance does the spring compress when an m = 1.53 kg object is placed on its upper end?

The distance spring compresses (x) = 0.0811 m

Explanation:

Spring constant (k) = 185 N / m

mass (m) = 1.53 kg

When mass is placed upon the spring the spring force is equal to weight of the mass.

⇒ Spring force (F) = weight of object

⇒  Spring force (F) = k × x

 And weight of the object = mg

⇒ k x =  mg (1)

Put all the values in equation (1) we get

⇒ 185 × x = 1.53 × 9.81

⇒ x = 0.0811 m

This the distance spring compresses, when mass is placed upon it.

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