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A block of mass M on a horizontal surface is attached to a horizontal spring of negligible mass and spring constant 20 N/m. The other end of the spring is attached to a wall, and there is negligible friction between the block and the horizontal surface. When the block is pulled to a position beyond the spring’s natural length and released from rest, the block experiences simple harmonic motion. A graph of the force exerted on the spring as a function of the block’s position is shown.

What is the spring potential energy stored in the spring-block system at position B?

a) 0.1J
b) 0.4J
c) 0.9J
d) 1.6J

A block of mass M on a horizontal surface is attached to a horizontal spring of negligible mass and spring constant 20 Nm The other end of the spring is attache class=

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MathPhys

Answer:

b) 0.4 J

Explanation:

The magnitude of the force at position B is about 4 N.

The spring constant is 20 N/m, so the displacement is:

F = kx

4 = 20x

x = 0.2 m

Therefore, the potential energy is:

E = ½ kx²

E = ½ (20) (0.2)²

E = 0.4 J

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