Question

A 0.450 kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic motion with an amplitude of 12.0 cm. (Assume the position of the object is at the origin at

*t* = 0.)

(a) Calculate the maximum value (magnitude) of its speed and
acceleration.

___cm/s

___cm/s^{2}

(b) Calculate the speed and acceleration when the object is 9.00 cm
from the equilibrium position.

___cm/s

___cm/s^{2}

(c) Calculate the time interval required for the object to move
from *x* = 0 to *x* = 4.00 cm.

___s

Answer #1

A 0.580-kg object attached to a spring with a force constant of
8.00 N/m vibrates in simple harmonic motion with an amplitude of
13.0 cm. (Assume the position of the object is at the origin at
t = 0.)
(a) Calculate the maximum value of its speed.
cm/s
(b) Calculate the maximum value of its acceleration.
cm/s2
(c) Calculate the value of its speed when the object is 11.00 cm
from the equilibrium position.
cm/s
(d) Calculate the value of...

A 0.560-kg object attached to a spring with a force constant of
8.00 N/m vibrates in simple harmonic motion with an amplitude of
12.6 cm. (Assume the position of the object is at the origin at
t = 0.)
(a) Calculate the maximum value of its speed.
cm/s
(b) Calculate the maximum value of its acceleration.
cm/s2
(c) Calculate the value of its speed when the object is 10.60 cm
from the equilibrium position.
cm/s
(d) Calculate the value of...

A 0.560-kg object attached to a spring with a force constant of
8.00 N/m vibrates in simple harmonic motion with an amplitude of
11.4 cm. (Assume the position of the object is at the origin at
t = 0.)
(a) Calculate the maximum value of its speed.
cm/s
(b) Calculate the maximum value of its acceleration.
cm/s2
(c) Calculate the value of its speed when the object is 9.40 cm
from the equilibrium position.
cm/s
(d) Calculate the value of...

A 0.400-kg object
attached to a spring with a force constant of 8.00 N/m vibrates in
simple harmonic motion with an amplitude of 12.2
cm.
the maximum value of its speed is
54.6
WHAT IS THE MAXIMUM VALUE OF IT'S
ACCELERATION?
QUESTION 2
A 45.0-g object
connected to a spring with a force constant of 40.0
N/m oscillates with an amplitude of 7.00
cm on a frictionless, horizontal
surface.
the total energy of
the system is 98
the speed of...

An object of mass of 2.7 kg is attached to a spring with a force
constant of k = 280 N/m.
At t = 0, the object is observed to be 2.0 cm from its equilibrium
position with a speed of
55 cm/s in the -x direction. The object undergoes simple harmonic
motion “back and
forth motion” without any loss of energy.
(a) Sketch a diagram labeling all forces on the object and
calculate the maximum
displacement from equilibrium of...

A 50.0-g object connected to a spring with a force constant of
100.0 N/m oscillates on a horizontal frictionless surface with an
amplitude of 8.00 cm.
a) What is the period (in seconds) and frequency of its
motion?
b) Assuming that the object's equilibrium position (i.e. when
the spring is unstretched) is designated as x = 0, and that at t =
0 the object is located at maximum amplitude, x(t) = A cos (ωt),
describes the motion. What is...

A 0.9 kg block attached to a spring of force constant 13.1 N/m
oscillates with an amplitude of 3 cm.
A) Find the maximum speed of the block. Answer in units m/s.
B) Find the speed of the block when it is 1.5 cm from the
equilibrium position. Answer in units of m/s.
C) Find its acceleration at 1.5 cm from the equilibrium
position. Answer in units of m/s2.
D) Find the time it takes for the block to move...

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,...

An object with mass 2.5 kg is attached to a spring with spring
stiffness constant k = 270 N/m and is executing simple harmonic
motion. When the object is 0.020 m from its equilibrium position,
it is moving with a speed of 0.55 m/s.
(a) Calculate the amplitude of the motion. ____m
(b) Calculate the maximum velocity attained by the object.
[Hint: Use conservation of energy.] ____m/s

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

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