Question

What is the magnitude of the force exerted by a spring with a spring constant of 447N/m, if it is stretched by 77cm?

You attach a 46.8g weight to a vertical spring and let it slowly move down until it is in equilibrium. By how much, measured in cm, the spring is stretched at equilibrium if the spring constant is 24N/m? g=9.8m/ s2

What is the period of the oscillations of a mass-spring system, measured in seconds, if the mass of the object is 3.2kg and the spring constant (or force constant) is 14.9N/m? Do not include the units in the answer.

Assume that you have plotted the period squared vs. mass of the system and the slope is 4.67. What is the spring constant or the force constant in N/m?

Answer #1

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...

Please show step by step explanation including all units.
Part 1 Mass and Spring System
You have a spring with an unknown spring constant. You attach a
10 gram mass and note that the spring stretches 1 cm. Then you
remove that mass and attach a 20 gram mass and note that the spring
stretches 2 cm. a) Find the slope of the line on F vs. x plot. That
will be your spring constant. b) Then you pull the...

For a linear spring
the force is proportional to the stretch. F =kx k is the elastic
constant of the spring in N/m
Masses are placed on a
spring and the stretch is measured (no bouncing). Then the spring
was allowed to bounce and the period was measured.
mass Stretch(cm)
Period (s)
0.15 kg 9 0.6
0.25 15 0.76
0.35 20.5 0.9
0.45 26.5 1.0
Calculate k for the
spring. Be careful mass must be converted to weight in Newtons...

4. A mass is attached to a spring with a force
constant of 40 N/m. The spring and mass are set to simple harmonic
motion with a period of 0.50 s on a frictionless, horizontal
surface.
a) What is the mass of the object?
b) What is the frequency of the
oscillations?
c) At which point will the object be at maximum
speed? Minimum speed?
d) At which point will the object be at max
acceleration? Minimum acceleration?

1. Suppose you attach an object to a vertical spring originally
at rest, and let it bounce up and down. You release the object from
rest at the spring’s original rest length. If the spring has a
force constant of 11.1 N/m and a 0.3 kg-mass object is set in
motion as described, find the amplitude of the oscillations.
2. If your heart rate is 145 beats per minute during strenuous
exercise, what is the time per beat in units...

A block of mass m = 0.79 kg is attached to a spring with force
constant 123.0 N/m. The block is free to move on a frictionless,
horizontal surface as shown in the figure. The block is released
from rest after the spring is stretched a distance A = 0.10 m to
the right. What is the potential energy of the spring/block system
0.25 s after releasing the block?

In the simple harmonic experiment, different masses were added
to a spring. A graph of Force (weight) versus elongation was
plotted. The graph was given by y = 9.4x +3.9. What is the spring
constant of the spring in N/m ?
In the simple harmonic experiment, different masses were added
to a spring. For each mass, the preriod of oscillation was
measured. A graph of Period squared versus mass was ploted. The
linear graph was given by y = 3.36x...

A particle with mass 2.61 kg oscillates horizontally at the end
of a horizontal spring. A student measures an amplitude of 0.923 m
and a duration of 129 s for 65 cycles of oscillation. Find the
frequency, ?, the speed at the equilibrium position, ?max, the
spring constant, ?, the potential energy at an endpoint, ?max, the
potential energy when the particle is located 68.5% of the
amplitude away from the equiliibrium position, ?, and the kinetic
energy, ?, and...

A spring 1.7 m long with force constant 525 N/m is hung from the
ceiling of an elevator, and a block of mass 15 kg is attached to
the bottom of the spring.
(a) By how much is the spring stretched when the block is slowly
lowered to its equilibrium point?
(b) Referring to your answer in Part (a), is the block below or
above its equilibrium position?
(c) If the elevator subsequently accelerates upward at 2.00
m/s2, what is...

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)...

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