Question

A 11.1 kg object on a horizontal frictionless surface is
attached to a spring with *k* = 1300 N/m. The object is
displaced from equilibrium 55.0 cm horizontally and given an
initial velocity of 12.0 m/s back toward the equilibrium position.
What are **(a)** the motion's frequency,
**(b)** the initial potential energy of the
block-spring system, **(c)** the initial kinetic
energy, and **(d)** the motion's amplitude?

Answer #1

A 8.07 kg object on a horizontal frictionless surface is
attached to a spring with k = 2180 N/m. The object is
displaced from equilibrium 69.5 cm horizontally and given an
initial velocity of 13.6 m/s back toward the equilibrium position.
What are (a) the motion's frequency,
(b) the initial potential energy of the
block-spring system, (c) the initial kinetic
energy, and (d) the motion's
amplitude? Answers to 3 significant digits (no
scientific notation). Please provide unit of
measurement.

A 5.00 kg object on a hor-
izontal frictionless surface is at-
tached to a spring with
k
1000 N/m. The object is dis-
placed from equilibrium 50.0
cm horizontally and given an initial velocity of 10.0 m/s
back
toward the equilibrium position. What are (a) the motion’s
frequency, (b) the initial potential energy of the block –
spring
system, (c) the initial kinetic energy, and (d) the motion’s
am-
plitude?

If a 1 kg object on a horizontal, frictionless surface is
attached to a spring, displaced, and then released, it will
oscillate. If it is displaced 0.120 m from its equilibrium position
and released with zero initial speed. After 0.8 s its displacement
is found to be 0.120 m on the opposite side, and it has passed the
equilibrium position once during this interval. Find the amplitude,
the period, the frequency, the angular frequency and the spring
constant.

An object of mass m = 0.25 kg has a horizontal spring attached
to its left side, and slides along a frictionless surface. The
spring constant is κ = 0.4 N m . At t = 0 s, the object is
displaced 0.1m to the right of its equilibrium position. Its
initial velocity is 0.4 m s , toward the right.
a) Calculate the period T of the motion. b) Calculate the
angular frequency ω. c) Calculate the frequency ν....

A mass attached to a spring oscillates back and forth on a
horizontal frictionless surface. The velocity of the mass is
modeled by the function v = 2πfA cos(2πft) when at t = 0, x = 0.
What is the magnitude of the velocity in cm/s at the equilibrium
position for an amplitude of 4.5 cm and a frequency of 2.3 Hz?

A 1.50-kg object is attached to a spring and placed on
frictionless, horizontal surface. A horizontal force of 28.0 N is
required to hold the object at rest when it is pulled 0.200 m from
its equilibrium position (the origin of the x axis). The
object is now released from rest from this stretched position, and
it subsequently undergoes simple harmonic oscillations.
a.)Find the force constant of the spring.
b.)Find the frequency of the oscillations.
c.)Find the maximum speed of...

1.A 1.10 kg block sliding on a horizontal frictionless surface
is attached to a horizontal spring with k = 490 N/m. Let
x be the displacement of the block from the position at
which the spring is unstretched. At t = 0 the block passes
through x = 0 with a speed of 3.40 m/s in the positive
x direction. What are the (a) frequency
and (b) amplitude of the block's motion
2.A vertical spring stretches 13 cm when a...

A 3.30-kg object is attached to a spring and placed on
frictionless, horizontal surface. A horizontal force of 21.0 N is
required to hold the object at rest when it is pulled 0.200 m from
its equilibrium position (the origin of the x axis). The
object is now released from rest from this stretched position, and
it subsequently undergoes simple harmonic oscillations.
(a) Find the force constant of the spring.
N/m
(b) Find the frequency of the oscillations.
Hz
(c)...

A 4.70-kg object on a frictionless horizontal surface is
attached to one end of a horizontal spring that has a force
constant k = 570 N/m. The spring is stretched 9.30 cm from
equilibrium and released.
(a) What is the frequency of the motion?
_____Hz
(b) What is the period of the motion?
______s
(c) What is the amplitude of the motion?
______cm
(d) What is the maximum speed of the motion?
______m/s
(e) What is the maximum acceleration of...

A 2 kg object is attached to a horizontal spring with k = 200 N
m . The object slides freely on a horizontal frictionless surface.
You pull the object to an initial displacement of 5 cm and launch
it with an initial velocity of −2 m s .
(a) Find the total energy of the motion.
(b) Write the equation for the position of the object as a
function of time. Make sure you put values in for any...

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