Question

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 4.8 kg block is hung
from its end. **(a)** Calculate the spring constant.
This block is then displaced an additional 2.1 cm downward and
released from rest. Find the **(b)** period,
**(c)** frequency, **(d)** amplitude, and
**(e)** maximum speed of the resulting SHM.

3.The balance wheel of a watch oscillates with angular amplitude
1.4π rad and period 0.41 s. Find **(a)** the maximum
angular speed of the wheel, **(b)** the angular speed
of the wheel at displacement 1.4π/2 rad, and **(c)**
the magnitude of the angular acceleration at displacement 1.4π/4
rad.

**Please do all for me**

Answer #1

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.

Answers + steps
1. A 2.0 kg block sliding on a frictionless horizontal surface
is attached to one end of a horizontal spring (k = 600 N/m) which
has its other end fixed. The speed of the block when the spring is
extended is 0.20 m is equal to 3.0 m/s. What is the maximum speed
of this block as it oscillates? (Or speed when the spring is fully
relaxed?)
2. A 10 kg object is dropped from rest. After...

A 0.225 kg block attached to a light spring oscillates on a
frictionless, horizontal table. The oscillation amplitude is
A = 0.190 m
and the block moves at 3.50 m/s as it passes through equilibrium
at
x = 0.
(a) Find the spring constant, k (in N/m).
N/m
(b) Calculate the total energy (in J) of the block-spring
system.
J
(c) Find the block's speed (in m/s) when x = A/2
m/s.

A block rests on a frictionless horizontal surface and is
attached to a spring. When set into simple harmonic motion, the
block oscillates back and forth with an angular frequency of 8.9
rad/s. The drawing shows the position of the block when the spring
is unstrained. This position is labeled ''x = 0 m.'' The drawing
also shows a small bottle located 0.080 m to the right of this
position. The block is pulled to the right, stretching the spring...

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 0.30 kg block oscillates back and forth along a straight line
on a frictionless horizontal surface. Its displacement from the
origin is given by x = (18 cm)cos[(11 rad/s)t + π/2 rad] (a) What
is the oscillation frequency? (b) What is the maximum speed
acquired by the block? (c) At what value of x does this occur? (d)
What is the magnitude of the maximum acceleration of the block? (e)
At what positive value of x does this occur?...

A 205 g mass attached to a horizontal spring oscillates at a
frequency of 1.00 Hz . At t =0s, the mass is at x= 4.20 cm and has
vx =− 23.0 cm/s . Determine: (a) the period s (b) the angular
frequency rad/s (c) the amplitude cm (d) the phase constant rad (e)
the maximum speed cm/s (f) the maximum acceleration cm/s2 (g) the
total energy J (h) the position at t = 4.2s

A 3.0-kg block sliding on a frictionless horizontal surface is
accelerated by a compressed spring. If the 200 N/m spring is
initially compressed 10 cm, determine (a) the potential energy
stored in the spring. As the block leaves the spring, find (b) the
kinetic energy of the block, and (c) the velocity of the block.

A 1.10 kg block is attached to a spring with spring constant
18.0 N/m . While the block is sitting at rest, a student hits it
with a hammer and almost instantaneously gives it a speed of 43.0
cm/s . What is the block's speed at the point where x=
0.650 A? (if the amplitude of the subsequent oscillations is
10.6cm

A block-spring system consists of a spring with constant
k = 445 N/m attached to a 2.25 kg block on a frictionless
surface. The block is pulled 4.10 cm from equilibrium and released
from rest. For the resulting oscillation, find the amplitude,
angular frequency, frequency, and period. What is the maximum value
of the block's velocity and acceleration?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 10 minutes ago

asked 18 minutes ago

asked 18 minutes ago

asked 18 minutes ago

asked 27 minutes ago

asked 27 minutes ago

asked 38 minutes ago

asked 41 minutes ago

asked 42 minutes ago

asked 47 minutes ago

asked 50 minutes ago

asked 58 minutes ago