A 0.30 kg block rests on a frictionless horizontal surface, where it is attached to a massless spring whose k-value equals 20.5 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; = -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? m/s (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

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Chapter1: Units, Trigonometry. And Vectors
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A 0.30 kg block rests on a frictionless horizontal surface, where it is attached to a massless spring whose k-value equals 20.5 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; = −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?
m/s
(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
Transcribed Image Text:A 0.30 kg block rests on a frictionless horizontal surface, where it is attached to a massless spring whose k-value equals 20.5 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; = −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? m/s (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
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