A block with mass m $=6\mathrm{.}8$ kg is attached to two springs with spring constants kleft $=35$ N$/$m and kright $=55$ N$/$m$.$ The block is pulled a distance x $=0\mathrm{.}28$ m to the left of its equilibrium position and released from rest.

$1)$

What is the magnitude of the net force on the block $($the moment it is released$)?$

N

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$2)$

What is the effective spring constant of the two springs?

N$/$m

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$3)$

What is the period of oscillation of the block?

s

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$4)$

How long does it take the block to return to equilibrium for the first time?

s

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$5)$

What is the speed of the block as it passes through the equilibrium position?

m$/$s

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$6)$

What is the magnitude of the acceleration of the block as it passes through equilibrium?

m$/$s$2$

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$7)$

Where is the block located, relative to equilibrium, at a time $1\mathrm{.}14$ s after it is released? $($if the block is left of equilibrium give the answer as a negative value; if the block is right of equilibrium give the answer as a positive value$)$

m

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$8)$

What is the net force on the block at this time $1\mathrm{.}14$ s$?($a negative force is to the left; a positive force is to the right$)$

N

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$9)$

What is the total energy stored in the system?

J

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$10)$

If the block had been given an initial push, how would the period of oscillation change?

the period would increase

the period would decrease

the period would not change

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