A block with mass m = 6.7 kg is attached to two springs with spring constants k

Question

A block with mass m = 6.7 kg is attached to two springs with spring constants kleft = 34 N/m and kright = 54 N/m. The block is pulled a distance x = 0.26 m to the left of its equilibrium position and released from rest.

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

A block with mass m = 6.7 kg is attached to two springs with spring constants k left = 34 N/m and k right = 54 N/m. The block is pulled a distance x = 0.26 m to the left of its equilibrium position and released from rest. 9) What is the total energy stored in the system?

Explanation / Answer

Compression in 1st spring = x = 0.26 m

Elongation in 2nd spring = x =0.26 m

K1 = 24 N/m

K2 = 54 N/m

Energy stored in the system = 0.5 k1 x^2 + 0.5 k2 x^2

= 0.5 *34*0.26^2 + 0.5*54*0.26^2

= 2.974 J

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