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Q. 2

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Found in: Page 415

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# An air-track glider is attached to a spring. The glider is pulled to the right and released from rest at . It then oscillates with a period of and a maximum speed of . a. What is the amplitude of the oscillation?b. What is the glider’s position at ?

a. The oscillation has an amplitude of .

b. The glider’s position at is .

See the step by step solution

Time period, .

Maximum speed, .

## Step 2 :Formula used (part a)

Time period,

Amplitude,

Where, is the angular frequency.

## Step 3 : Calculation (part a)

Substitute the values of and to obtain .

## Step 4 : Final Answer (part a)

The oscillation has an amplitude of

## Step 5 : Given Information (part b)

Time period,

Maximum speed,

Time,

Angular frequency,

Amplitude,

Initial condition, ,.

## Step 6 : Formula used (part b)

Equation of the simple harmonic motion is .

Where, is the amplitude, is the position, is the angular frequency and is the phase.

Then,

## Step 8 : Final Answer (part b)

At time , the position of the glider is .