Question

A metal ball attached to a spring moves in simple harmonic motion. The amplitude of the ball's motion is 11.0 cm, and the spring constant is 5.50 N/m. When the ball is halfway between its equilibrium position and its maximum displacement from equilibrium, its speed is 27.2 cm/s.

(a) What is the mass of the ball (in kg)?

(b) What is the period of oscillation (in s)?

(c) What is the maximum acceleration of the ball? (Enter the
magnitude in m/s^{2}.)

Answer #1

A plastic ball attached to a spring moves in simple harmonic
motion. The amplitude of the ball's motion is 11.5 cm, and the
spring constant is 6.00 N/m. When the ball is halfway between its
equilibrium position and its maximum displacement from equilibrium,
its speed is 22.7 cm/s.
What is the mass of the ball (in kg)?
Answer- kg
What is the period of oscillation (in s)?
Answer- s
What is the maximum acceleration of the ball? (Enter the...

A block attached to the end of a spring moves in simple harmonic
motion according to the position function where the
period of the motion is 4.0 s and the amplitude of the motion is 15
cm.
g) Determine the first time at which the position of the block
is -1.2 cm. ______ s
h) Determine the first time at which the velocity of the block
is -8.5 cm/s. ______ s
i) Determine the first time at which the acceleration of...

A) A mass on a spring vibrates in simple harmonic motion at a
frequency of 4.0 Hz and an amplitude of 8.0 cm. If a timer is
started when its displacement from equilibrium is a maximum (hence
x = 8 cm when t = 0), what is the displacement of the mass when t =
3.7 s?
B) A mass of 4.0 kg, resting on a horizontal, frictionless
surface, is attached on the right to a horizontal spring with
spring...

Part A
A block of unknown mass is attached to a spring with a spring
constant of 5.50 N/m and undergoes simple harmonic motion with an
amplitude of 10.0 cm. When the block is halfway between its
equilibrium position and the end point, its speed is measured to be
28.0 cm/s.
(a) Calculate the mass of the block.
________kg
(b) Calculate the period of the motion.
________s
(c) Calculate the maximum acceleration of the block.
________m/s2
Part B
A block-spring...

A 301 g weight attached to a horizontal spring moves in simple
harmonic motion with a period of 0.260 s. The total mechanical
energy of the spring-mass system is 5.46 J.
(a)
What is the maximum speed of the weight (in m/s)?
m/s
(b)
What is the spring constant (in N/m)?
N/m
(c)
What is the amplitude of the motion (in m)?
m

A block of unknown mass is attached to a spring with a spring
constant of 5.50 N/m and undergoes simple harmonic motion with an
amplitude of 10.0 cm. When the block is halfway between its
equilibrium position and the end point, its speed is measured to be
27.0 cm/s.
(a) Calculate the mass of the block.
(b) Calculate the period of the motion.
(c) Calculate the maximum acceleration of the block.

A block of unknown mass is attached to a spring with a spring
constant of 7.00 N/m and undergoes simple harmonic motion with an
amplitude of 11.5 cm. When the block is halfway between its
equilibrium position and the end point, its speed is measured to be
25.0 cm/s.
(a) Calculate the mass of the block.
kg
(b) Calculate the period of the motion.
s
(c) Calculate the maximum acceleration of the block.
m/s2

A 280 g object attached to a horizontal spring moves in simple
harmonic motion with a period of 0.330 s. The total mechanical
energy of the springâ€“object system is 2.00 J.
(a) What is the spring constant (in N/m)? N/m
(b) What is the amplitude (in m) of the motion? m
(c) What If? What is the percentage change in amplitude of
motion if the total energy of the system is increased to 6.00
J?

A metal cylinder with a mass of 1.20 kg is attached to a spring
and is able to oscillate horizontally with negligible friction. The
cylinder is pulled to a distance of 0.200 mfrom its equilibrium
position, held in place with a force of 17.0 N, and then released
from rest. It then oscillates in simple harmonic motion. (The
cylinder oscillates along the x-axis, where x = 0
is the equilibrium position.)
(a) What is the spring constant (in N/m)?
_____...

Consider a block attached to a horizontal spring that
undergoes simple harmonic motion as shown with an amplitude of A
=10 cm
If the kinetic energy of the block is increasing the
block must be
(a) moving away from the equilibrium
position
(b) moving towards the equilibrium position
c) at equilibrium position
(d) maximum displacement

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