Question

Review l Constants ! Periodic Table Part A A block with a mass of 0.30 kg is attached to a horizontal spring The block is pulled back from its equilibrium position until the spring exerts a force of 1.1 N on the block When the block is released, it oscillates with a frequency of 1.2 Hz How far was the block pulled back before being released? Express your answer with the appropriate units. alne Units Submit

Answer 1

Mass of the block = m = 0.3 kg

Spring constant = k

Force exerted by the spring before being released = F = 1.1 N

Frequency of oscillation = f = 1.2 Hz

$f = \frac{1}{2\pi }\sqrt{\frac{k}{m}}$

k = 4$\pi$²f²m

k = 4$\pi$²(1.2)²(0.3)

k = 17.054 N/m

Distance the block was pulled before being released = X

F = kX

1.1 = (17.054)X

X = 0.0645 m

The block was pulled back by a distance of 0.0645 m before being released.