A 0.35 kg block rests on a frictionless horizontal countertop, where it is attached to a massless spring whose k-value equals 22.0 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 xi = −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 1.90 cm (that is, when x = −1.90 cm)? m/s (c) How fast is the block moving (in m/s) whenever the spring is extended by 1.90 cm (that is, when passing through x = +1.90 cm)? m/s (d) Find the magnitude of the displacement (in cm) at which the block moves with one-half of the maximum speed.
A 0.35 kg block rests on a frictionless horizontal countertop, where it is attached to a massless spring whose k-value equals 22.0 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 xi = −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 1.90 cm (that is, when x = −1.90 cm)? m/s (c) How fast is the block moving (in m/s) whenever the spring is extended by 1.90 cm (that is, when passing through x = +1.90 cm)? m/s (d) Find the magnitude of the displacement (in cm) at which the block moves with one-half of the maximum speed.
A 0.35 kg block rests on a frictionless horizontal countertop, where it is attached to a massless spring whose k-value equals 22.0 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 xi = −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 1.90 cm (that is, when x = −1.90 cm)? m/s (c) How fast is the block moving (in m/s) whenever the spring is extended by 1.90 cm (that is, when passing through x = +1.90 cm)? m/s (d) Find the magnitude of the displacement (in cm) at which the block moves with one-half of the maximum speed.
A 0.35 kg block rests on a frictionless horizontal countertop, where it is attached to a massless spring whose k-value equals 22.0 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 xi = −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 1.90 cm (that is, when
x = −1.90 cm)?
m/s
(c)
How fast is the block moving (in m/s) whenever the spring is extended by 1.90 cm (that is, when passing through
x = +1.90 cm)?
m/s
(d)
Find the magnitude of the displacement (in cm) at which the block moves with one-half of the maximum speed.
Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
