A block with mass m = 5.7 kg is attached to two springs with spring constants k_left= 36 N/m and k_right= 53 N/m. The block is pulled a distance x = 0.22 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

2)What is the effective spring constant of the two springs?

_N/m

3)What is the period of oscillation of the block?

_s

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

_s

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

_m/s

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

_m/s²

7)Where is the block located, relative to equilibrium, at a time 0.91 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

8)What is the net force on the block at this time 0.91 s? (a negative force is to the left; a positive force is to the right)

_N

9)What is the total energy stored in the system?

_J

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