Question

(A)--Five different experiments are carried out. In each experiment, a block is attached to a horizontal...

(A)--Five different experiments are carried out. In each experiment, a block is attached to a horizontal spring. The block is pulled back a certain distance and released. The block oscillates back and forth on a frictionless surface. Rank the maximum force on the block for each of the following situations. (Rank the smallest force as 1).
1 2 3 4 5  A block of mass M is attached to a spring with a spring constant 2k, pulled back a distance d, and released.
1 2 3 4 5  A block of mass M is attached to a spring with a spring constant 2k, pulled back a distance (1/2)d, and released.
1 2 3 4 5  A block of mass M is attached to a spring with a spring constant k, pulled back a distance (1/2)d, and released.
1 2 3 4 5  A block of mass (1/2)M is attached to a spring with a spring constant k, pulled back a distance d, and released.
1 2 3 4 5  A block of mass M is attached to a spring with a spring constant k, pulled back a distance d, and released.

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(B)-- A block rests on a horizontal frictionless table. It is attached to a spring and set into motion. Consider what will happen to the frequency or period in each of the following situations.
Increase Stay the same Decrease  If the spring constant is cut in half (looser spring), the frequency will _______.
Increase Stay the same Decrease  If the amplitude of the motion is cut in half, the frequency will ______.
Increase Stay the same Decrease  If the mass of the block is cut in half, the period will _______.
Increase Stay the same Decrease  If the spring constant is doubled (stiffer spring), the period will _______.

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(C)-- A block is attached to a spring and set in motion on a horizontal frictionless surface by pulling the block back a distance 10cm from equilibrium. Now, replace the block with one double the mass and set the block into motion again by pulling the block a distance 10cm from equilibrium and releasing. How will the following new quantities relate to the quanities with the original block? (If it will be larger by a factor of 2, choose double. sqrt stands for square root.)
quarter half sqrt(1/2) same sqrt(2) double quadruple - Amplitude
quarter half sqrt(1/2) same sqrt(2) double quadruple - Period of oscillation
quarter half sqrt(1/2) same sqrt(2) double quadruple - Maximum Acceleration
quarter half sqrt(1/2) same sqrt(2) double quadruple - Maximum Force of the Spring on the Block

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Answer #1

The answers are in the images. Page number is mentioned at right top. As per Chegg's answering guidelines, I need to answer only the 1st question, as they are separate question and have not specifically mentioned to answer. However, here I answer 1st two questions completely.

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