Question

A block off mass (2 kg) is placed on a metal spring with spring stiffness (80...

  1. A block off mass (2 kg) is placed on a metal spring with spring stiffness (80 N/m).

    1. (a) How far is the spring compressed?

    2. (b) Imagine that the spring was compressed by twice the distance as in part (a), then released. What is the acceleration of the block after the spring is released?

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Answer #1

Mass of block = 2 kg

Spring stiffness = 80 N/m

Taking acceleration due to gravity =9.81 m/s^2

Weight of block = 2*9.81 = 19.62 N

(A)

Spring compression when block is kept on spring =

(B)

If spring is compressed by 0.4905 m then acceleration of block after spring is released =

From the fbd of block

acceleration when spring is released = 9.81 m/s^2

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