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Q.6

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 414

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Short Answer

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 .

See the step by step solution

Step by Step Solution

Step 1: Expression for the total energy  

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.

Step 2: 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.

Step 3: Calculation for new amplitude 

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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