Question

A mass on a spring with constant 3.45 N/m vibrates with position
given by the equation *x* = (5.00 cm) cos(4.40*t*
rad/s).

(a) During the first cycle, for 0 < *t* < 1.43 s,
just when is the system's potential energy of the system changing
most rapidly into kinetic energy?

first time | s |

second time | s |

(b) What is the maximum rate of energy transformation?

mW

Answer #1

The displacement of a block of mass 0.933 kg attached to a
spring whose spring constant is 66N/m is given by x=Asin(ωt) where
A=0.21m. In the first complete cycle find the values of x and t at
which the kinetic energy is equal to one half the potential
energy.
First position: cm...... First time: s.
Second position: cm...... Second
time: s..
Third position: cm...... Third time: s.
Fourth position: cm...... Fourth time: s.

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 0.400-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...

A spring with spring constant 250 N/m vibrates with an amplitude
of 12.0 cm when a 0.380 kg mass hangs from it. (a) What
is the equation describing this motion as a function of time?
Assume that the mass passes through the equilibrium point toward
positive x (upward), at t = 0.110 s. (b) At what times will the
spring have its maximum and minimum lengths? (c) What is the
displacement at t = 0? (d) What is the force exerted...

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...

Consider a 0.85 kg mass oscillating on a massless spring with
spring constant of 45 N/m. This object reaches a maximum position
of 12 cm from equilibrium. a) Determine the angular frequency of
this mass. Then, determine the b) force, c) acceleration, d)
elastic potential energy, e) kinetic energy, and f) velocity that
it experiences at its maximum position. Determine the g) force, h)
acceleration, i) elastic potential energy, j) kinetic energy, and
k) velocity that it experiences at the...

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/s2
(b) Calculate the speed and acceleration when the object is 9.00 cm
from the equilibrium position.
___cm/s
___cm/s2
(c) Calculate the time interval required for the object...

A mass of 60.0 g, attached to a weightless spring with a force
constant of 40.0 N / m, vibrates at an amplitude of 5.00 cm on a
horizontal, frictionless plane.
(a) The total energy of the vibrating system,
(b) the velocity of the mass when the displacement is 2.00
cm.
Find.
When the displacement is 2.50 cm,
(c) kinetic energy and
(d) potential energy
Find.

A 35.0-g object connected to a spring with a force constant of
45.0 N/m oscillates with an amplitude of 5.00 cm on a frictionless,
horizontal surface.
(a) Find the total energy of the system.
mJ
(b) Find the speed of the object when its position is 1.30 cm. (Let
0 cm be the position of equilibrium.)
m/s
(c) Find the kinetic energy when its position is 3.00 cm.
mJ
(d) Find the potential energy when its position is 3.00 cm....

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