Q.6

Expert-verifiedFound in: Page 414

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

A block oscillating on a spring has an amplitude of . What will the amplitude be if the total energy is doubled? Explain.

The new amplitude of the block when the total energy is doubled after rounding off to three significant figures is .

The expression for the total energy when a block oscillating on a spring is,

Here, is the spring constant and is the amplitude of the block.

Rewrite the equation for

From the above relation, it is clear that the amplitude of the block is directly proportional to square root of its total energy.

Let be the new amplitude of the block. Thus, the expression for the new amplitude of the block is,

Substitute for and for

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