Five different experiments are carried out. In each experiment, a block is attac
ID: 1415918 • Letter: F
Question
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 amplitude of oscillation for each of the following situations. (Rank the smallest amplitude as 1). A block of mass M is attached to a spring with a spring constant (1/2)k, pulled back a distance (1/2)d, and released. A block of mass M is attached to a spring with a spring constant k, pulled back a distance d, and released. A block of mass M is attached to a spring with a spring constant k, pulled back a distance 2d, and released. A block of mass (1/2)M is attached to a spring with a spring constant k, pulled back a distance d, and released. A block of mass M is attached to a spring with a spring constant 2k, pulled back a distance d, and released.Explanation / Answer
Since energy at total compression = total elongation
Which means the distance compressed from mean position is same as the distance elongated from mean position
Therefore the ranking in amplitude of different situations are
From smallest to largest
Situation 1)amplitude = 1/2d
Situation 2) amplitude= d
Situation 4) amplitude = d
Situation 5) amplitude = d
Situation 3) amplitude = 2d
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