Five different experiments are carried out. In each experiment, a block is attac

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 k, pulled back a distance d, and released.

A block of mass M is attached to a spring with a spring constant (1/2)k, pulled back a distance 2d, and released.

A block of mass M is attached to a spring with a spring constant (1/2)k, pulled back a distance d, 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 k, pulled back a distance (1/2)d, and released.

Explanation / Answer

case 1 A block of mass M is attached to a spring with a spring constant k, pulled back a distance d, and released.

case 2 A block of mass M is attached to a spring with a spring constant (1/2)k, pulled back a distance 2d, and released.

case 3 A block of mass M is attached to a spring with a spring constant (1/2)k, pulled back a distance d, and released.

case 4 A block of mass (1/2)M is attached to a spring with a spring constant k, pulled back a distance d, and released.

case 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.

Amplitude of oscillation is the magntiude displacment from equilibrium position.

smallest is case 5 then case 1 3 and 4 are equal. then largest is case 2

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