Question

A simple harmonic oscillator has a mass of 1.4 kg, a maximum speed of 0.55 m/s, and a spring constant of 20.5 N/m. Use Conservation of Energy to find the amplitude of the system. Assume that there are no frictional losses.

Answer #1

Here we have given ,

We have a simple harmonic oscillator

Whose mass =1.4 kg

(Vo) maximum speed = 0.55 m/s,

spring constant k = 20.5 N/m

Using Conservation of Energy to find the amplitude of the system we have a relationship as

Kf+ Uf = Ki+Ui

Where Kf and Ki are final kinetic energy and initial kinetic energy respectively

And Ui and Uf are initially potential and final potential energy

Now on plugging values we will have,

1/2×mV1^2 + 1/2×k×x^2 = 1/2×mVo^2 + 0J

0J + 1/2×k×A^2 = 1/ 2×mvo^2

Here A is the amplitude of the system.

So that ,

A = (m/k)^1/2 ×Vo= 0.143730 m

Hence the amplitude of the system = 0.143730 m

A simple harmonic oscillator is made up of a mass-spring system,
with mass of 1.31 kg and a spring constant k = 148 N/m. At time
t=1.66 s, the position and velocity of the block are x = 0.135 m
and v = 3.958 m/s. What is the amplitude, xm, of the
oscillations?
Your answer should be in m, but enter only the numerical part in
the box.

A simple harmonic oscillator consists of a block of mass 3.70 kg
attached to a spring of spring constant 410 N/m. When t = 1.60 s,
the position and velocity of the block are x = 0.102 m and v =
3.050 m/s. (a) What is the amplitude of the oscillations? What were
the (b) position and (c) velocity of the block at t = 0 s?

A simple harmonic oscillator consists of a block of mass 3.00 kg
attached to a spring of spring constant 110 N/m. When t =
2.30 s, the position and velocity of the block are x =
0.127 m and v = 3.580 m/s. (a) What is
the amplitude of the oscillations? What were the
(b) position and (c) velocity of
the block at t = 0 s?

A simple harmonic oscillator consists of a block of mass 2.90 kg
attached to a spring of spring constant 280 N/m. When t =
2.20 s, the position and velocity of the block are x =
0.189 m and v = 3.000 m/s. (a) What is
the amplitude of the oscillations? What were the
(b) position and (c) velocity of
the block at t = 0 s?

A simple harmonic oscillator consists of a block of mass 1.70 kg
attached to a spring of spring constant 340 N/m. When t =
0.840 s, the position and velocity of the block are x =
0.101 m and v = 3.100 m/s. (a) What is
the amplitude of the oscillations? What were the
(b) position and (c) velocity of
the block at t = 0 s?

A simple harmonic oscillator consists of a block of mass 3.30 kg
attached to a spring of spring constant 440 N/m. When t =
1.30 s, the position and velocity of the block are x =
0.154 m and v = 3.540 m/s. (a) What is
the amplitude of the oscillations? What were the
(b) position and (c) velocity of
the block at t = 0 s?

A simple harmonic oscillator consists of a block of mass 1.80 kg
attached to a spring of spring constant 360 N/m. When t = 0.520 s,
the position and velocity of the block are x = 0.200 m and v =
4.420 m/s. (a) What is the amplitude of the oscillations? What were
the (b) position and (c) velocity of the block at t = 0 s?

A simple harmonic oscillator consists of a block of mass
2.60
kg attached to a spring of spring constant
350
N/m. When
t
=
2.20
s, the position and velocity of the block are
x
=
0.175
m and
v
=
3.420
m/s.
(a)
What is the amplitude of the oscillations? What were the
(b)
position and
(c)
velocity of the block at
t
= 0 s?

A simple harmonic oscillator consists of a block of mass 4.50 kg
attached to a spring of spring constant 210 N/m. When t = 1.90 s,
the position and velocity of the block are x = 0.143 m and v =
3.870 m/s. (a) What is the amplitude of the oscillations? What were
the (b) position and (c) velocity of the block at t = 0 s?

A simple harmonic oscillator consists of a block of mass 1.30 kg
attached to a spring of spring constant 490 N/m. When t=
0.500 s, the position and velocity of the block are x =
0.155 m and v = 3.510 m/s. (a) What is
the amplitude of the oscillations? What were the
(b) position and (c) velocity of
the block at t = 0 s?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 40 seconds ago

asked 5 minutes ago

asked 41 minutes ago

asked 46 minutes ago

asked 56 minutes ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago