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Q 10 OQ

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Physics For Scientists & Engineers
Found in: Page 177

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Short Answer

Figure OQ7.10 shows a light extended spring exerting a force to the left on a block. (i) Does the block exert a force on the spring? Choose every correct answer. (a) No, it doesn’t. (b) Yes, it does, to the left. (c) Yes, it does, to the right. (d) Yes, it does, and its magnitude is larger than Fs. (e) Yes, it does, and its magnitude is equal to Fs. (ii) Does the spring exert a force on the wall? Choose your answers from the same list (a) through (e).

(i) The correct options are (c) and (e):

(c) Yes, it does, to the right

(e) Yes, it does, and its magnitude is equal to Fs.

(ii) The correct options are (c) and (e):

(c) Yes, it does, to the right.

(e) Yes, it does, and its magnitude is equal to Fs.

See the step by step solution

Step by Step Solution

Given information

The force exerted by an extended light spring to the left on a block is Fs.

The displacement of the block is x.

The displacement of spring

An elastic spring is compressed to a certain distance when an external force acts on it, and the spring returns to its original position when the force is removed.

The displacement of the elastic spring is determined using the value of force exerted and the spring’s stiffness.

Force exerted by the block on the spring 

(i)

From the diagram, the force Fsacts toward the left on the block, and due to this force, the block moves to a distance of x.

At the equilibrium condition, the force exerted by the block on the spring to the left is balanced by the force exerted by the spring on the block toward the right.

So, the force exerted by the spring on the block toward the right is equal toFs

Hence, the correct options are (c) and (e):

(c) Yes, it does, to the right

(e) Yes, it does, and its magnitude is equal toFs

Force exerted by the spring on the wall 

(ii)

The spring tension exerts equal-magnitude forces toward the center of the spring on objects at both ends.

The force acting from the block to the springFs

toward the left is transferred to the left end connected to the wall. So, the spring tension exerts a force of equal magnitude on the objects at both ends.

The tension on the spring acts towards the center of the spring from both ends.

Hence, the correct options are (c) and (e).

(c) Yes, it does, to the right

(e) Yes, it does, and its magnitude is equal toFs

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