Five different experiments are carried out. In each experiment, a block is attac
ID: 1418792 • 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 maximum force on the block for each of the following situations. (Rank the smallest force as 1). 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. A block of mass M is attached to a spring with a spring constant 2k, 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 (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.
Explanation / Answer
Amplitude is given by:
A = Force/k
And,mass makes no difference.
So, Block will have maximum amplitude if maximum force is applied across it.
For case 1: F = kd
For case 2: F = 2kd
For case 3: F = kd
For case 4: F = 0.5kd
For case 5: F = kd
So,
A(2) > A(1) = A(3) = A(5) > A(4)
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