Question

A 0.60 kg block rests on a frictionless horizontal countertop, where it is attached to a massless spring whose k-value equals 18.0 N/m. Let x be the displacement, where x = 0 is the equilibrium position and x > 0 when the spring is stretched. The block is pushed, and the spring compressed, until x_i = −4.00 cm. It then is released from rest and undergoes simple harmonic motion.

(a)What is the block's maximum speed (in m/s) after it is released?

(b)How fast is the block moving (in m/s) when the spring is momentarily compressed by 2.50 cm (that is, when  x = −2.50 cm)? m/s

(c)How fast is the block moving (in m/s) whenever the spring is extended by 2.50 cm (that is, when passing through  x = +2.50 cm)? m/s

(d)Find the magnitude of the displacement (in cm) at which the block moves with one-half of the maximum speed. |x| =  cm

Answer 1

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