Question

(a)

What is the equation describing the motion of a mass on the end of a spring which is stretched 8.8 cm from equilibrium and then released from rest, and whose period is 0.66 s? Assume that the displacement at the start of the motion is positive.

Express your answer in terms of t using two significant figures.

(b)

What will be its displacement after 1.9 s ?

Express your answer to two significant figures and include the appropriate units.

Answer #1

A mass is performing simple harmonic motion. You may assume that
there are no significant frictional forces in this problem (the
motion is undamped). The maximum speed of the mass during the
motion is 4.6 m/s . The amplitude of the motion is 25 cm
Part A.)
What is ? , the angular frequency of this motion?
Express your answer using two significant figures.
Part B.)
What is T? , the period of this
motion?
Express your answer using two...

A 0.55 kg block rests on a frictionless horizontal
countertop, where it is attached to a massless spring whose
k-value equals 23.0 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...

A spring with spring constant 15.5 N/m hangs from the ceiling. A
ball is suspended from the spring and allowed to come to rest. It
is then pulled down 6.00 cm and released. The ball makes 25.0
oscillations in 20.0 seconds.
Part A
What is the mass of the ball?
Express your answer to three significant figures and include the
appropriate units.
Part B
What is the maximum speed?
Express your answer to three significant figures and include the
appropriate...

a) A block with a mass of 0.600 kg is connected to a spring,
displaced in the positive direction a distance of 50.0 cm from
equilibrium, and released from rest at t = 0. The block then
oscillates without friction on a horizontal surface. After being
released, the first time the block is a distance of 15.0 cm from
equilibrium is at t = 0.200 s.
What is the block's period of oscillation?
_______ s
b) A block with a...

A spring of negligible mass stretches 3.00 cm from its relaxed
length when a force of 7.10 N is applied. A 0.440-kg particle rests
on a frictionless horizontal surface and is attached to the free
end of the spring. The particle is displaced from the origin to
x = 5.00 cm and released from rest at t = 0.
(Assume that the direction of the initial displacement is positive.
Use the exact values you enter to make later calculations.)
(a)...

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...

A spring of negligible mass stretches 3.00 cm from its relaxed
length when a force of 7.30 N is applied. A 0.520-kg particle rests
on a frictionless horizontal surface and is attached to the free
end of the spring. The particle is displaced from the origin to
x = 5.00 cm and released from rest at t = 0.
(Assume that the direction of the initial displacement is positive.
Use the exact values you enter to make later calculations.)
(f)...

Part A)
A 65 g ice cube can slide without friction up and down a 30∘
slope. The ice cube is pressed against a spring at the bottom of
the slope, compressing the spring 10 cm. The spring constant is 22
N/m . When the ice cube is released, what total distance will it
travel up the slope before reversing direction?
Express your answer to two significant figures and include the
appropriate units
.
Part B) The ice cube is...

One end of a spring with a force constant of k = 10.0
N/m is attached to the end of a long horizontal frictionless track
and the other end is attached to a mass m = 2.20 kg which
glides along the track. After you establish the equilibrium
position of the mass-spring system, you move the mass in the
negative direction (to the left), compressing the spring 2.03 m.
You then release the mass from rest and start your stopwatch,...

A 0.25 kg object is suspended on a light spring of spring
constant 41 N/m . The spring is then compressed to a position 15 cm
above the stretched equilibrium position.
Part A
How much more energy does the system have at the compressed
position than at the stretched equilibrium position?
Express your answer using two significant figures.
?U=
0.49
J
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