Question

A spring is compressed 1.5m by a a 4kg mass, which isn't attached, and the spring has a force constant of 300N/m. Assume the surface has no friction

How fast is the mass moving when it returns to equilibrium after release?

How long does it take in seconds for the mass to return to the equilibrium position after release?

Answer #1

A block with mass 0.382 kg is attached to a horizontal spring
with spring constant k = 1.28 N/m on a frictionless surface. The
block is pulled 0.753 m from equilibrium and released. (a) What is
the amplitude of the block's motion? (b) What is its period? (c)
How long after release does the block take to first return to its
equilibrium position? (d) What is its speed at that position? {b.
3.43 s, d. 1.38 m/s}
a) A=0.753m
b)...

. A block of mass 2.00 kg is attached to a horizontal spring
with a force constant of 500 N/m. The spring is stretched 5.00 cm
from its equilibrium position and released from rest. Use
conservation of mechanical energy to determine the speed of the
block as it returns to equilibrium
(a) if the surface is frictionless
(b) if the coefficient of kinetic friction between the block and
the surface is 0.350

6) A mass of 3 kg is attached to a massless spring with
a force constant 500 N/m. The mass rests on a horizontal
frictionless surface. The system is compressed a distance of 30 cm
from the springs initial position and then released. The momentum
of the mass when the spring passes its equilibrium position
is?
8660.25m/s
Is this right

A book with mass 2.90 kg is attached to a spring. The
spring has force constant k= 290 N/m and negligible mass. The
spring gets compressed x=0.300 m. The book is released and slides
along å surface with kinetic friction coefficient 0.3.
a) If the spring and the surface are horisontal, how
far from the starting point ( when the spring is compressed) will
the book slip before it stops?
b) If the spring had been mounted on a slope...

A 150 gram mass is attached to a horizontally aligned spring on
a frictionless surface. A force of 10 Newtons will stretch the
spring 25 centimeters. If the spring is compressed to 15
centi¬me¬ters and then released, calculate: the spring constant;
the frequency and period of the system; and the position and speed
of the mass one minute after it is released.

A spring has a constant of 270 N/m. A mass of 83 kg is attached
to the spring, pulled down a distance of 5 meters and then
released.
What is the position of the object 2 seconds after the
release?
What is the velocity of the object 3 seconds after the
release?

A 1 kg mass is on a horizontal frictionless surface and is
attached to a horizontal spring with a spring constant of 144 N/m.
The spring's unstretched length is 20 cm. You pull on the mass and
stretch the spring 5 cm and release it.
What is the position of the mass at 15 seconds? What is the
magnitude of its velocity at that instant?
The mass spring system is now flipped vertically such that
gravity must be included in...

A 0.5-kg mass is attached to a spring with spring constant 2.5
N/m. The spring experiences friction, which acts as a force
opposite and proportional to the velocity, with magnitude 2 N for
every m/s of velocity. The spring is stretched 1 meter and then
released.
(a) Find a formula for the position of the mass as a function of
time.
(b) How much time does it take the mass to complete one
oscillation (to pass the equilibrium point, bounce...

A block of mass m = 0.53 kg attached to a spring with force
constant 119 N/m is free to move on a frictionless, horizontal
surface as in the figure below. The block is released from rest
after the spring is stretched a distance A = 0.13 m. (Indicate the
direction with the sign of your answer. Assume that the positive
direction is to the right.)
The left end of a horizontal spring is attached to a vertical
wall, and...

Consider an undamped spring with spring constant k = 9N/m and
with a mass attached with mass 4kg. We apply a driving force of
F(t) = sin(3t/2). Solve the IVP for the position of the mass x(t)
with the string initially at rest at the equilibrium (so x(0) = 0
and ˙x(0) = 0). (Hint: Guess a particular solution of the form Ct
cos(3t/2) and find the constant C.)

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