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A block whose mass m is 680g is fastened...

A block whose mass m is 680g is fastened to a spring whose spring constant k is 65N/m. The block is pulled a distance x=11cm from its equilibrium position at x=0 on a frictionless surface and released from rest at t= 0.
What is the maximum speed `v_(m)` of the oscillating block, and where is the block when it has this speed?

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To solve the problem, we need to find the maximum speed \( v_{m} \) of the oscillating block and determine where the block is when it has this speed. ### Step-by-Step Solution: 1. **Identify Given Values**: - Mass of the block \( m = 680 \, \text{g} = 0.680 \, \text{kg} \) (conversion from grams to kilograms). - Spring constant \( k = 65 \, \text{N/m} \). - Maximum displacement (amplitude) \( x = 11 \, \text{cm} = 0.11 \, \text{m} \) (conversion from centimeters to meters). ...
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