Question

A spring has an unstretched length of 10 cm. When a 150 g mass is added the spring stretches to a total length of 15 cm, where the mass rests at equilibrium.

A. What is the spring constant of the spring?

B. Now the mass is pulled down by an additional 5 cm, so that the total length of the spring is 20 cm, and then released. What is the frequency and period of the subsequent oscillation?

C. Draw a graph—including numbers on the position and time axes—that shows the subsequent motion of the spring about the equilibrium position described in part B. Distances above equilibrium are positive; distances below, negative. Show on your graph the amplitude and the period of this motion.

D. Where on your graph for part C is the speed the greatest? Where is the acceleration (magnitude) the greatest?

Answer #1

In this question we have to find different parameters using the concept of spring mass system.

A spring has an unstretched length of 10 cm. When a 150 g mass
is added the spring stretches to a total
length of 15 cm, where the mass rests at equilibrium.
What is the spring constant of the spring?
Now the mass is pulled down by an additional 5 cm, so that the
total length of the spring is 20 cm,
and then released. What is the frequency and period of the
subsequent oscillation?
Draw a graph—including numbers on...

A spring has an unstretched length of 10 cm. When a 150 g mass
is added the spring stretches to a total length of 15 cm, where the
mass rests at equilibrium.
A. What is the spring constant of the spring?
B. Now the mass is pulled down by an additional 5 cm, so that
the total length of the spring is 20 cm,and then released. What is
the frequency and period of the subsequent oscillation?
C. Draw a graph—including...

A 4.00 kg block hangs from a spring, extending it 16.0 cm from
its unstretched position.
(a.) What is the spring constant? = 245 N/m
(b.) The block is removed, and a 0.500 kg mass is hung from the
same spring. If the spring is then stretched and released, what is
its period of oscillation? =.284 sec
(c.) Write the unique equation of motion y(t) for the motion of
the mass in part (b), assuming the mass was initially pulled...

* i need part E , F, G , H
You attach a 150 g mass on a spring hung vertically. a. If the
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You attach a 150 g mass on a spring hung vertically.
a. If the spring initially stretches 16 cm when you hang the
mass on it, what is the spring constant?
b. How long will one oscillation take?
The spring is now oriented horizontally and attached to a glider
on...

You hang a 300 g mass on a spring.
a. If the spring initially stretches 6.20 cm when you hang the mass
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b. How long will one oscillation take?
The spring is now oriented horizontally and attached to a glider on
a frictionless air track. The glider also has a mass of 300g. You
want to observe the oscillations of this spring-mass system in the
lab with a motion detector. You stretch the...

A mass of 0.6 kg stretches spring 12 cm. The mass is pulled down
an additional 5 cm and released. a)Find frequency of oscillation,
b) maximum kinetic energy, and c) total energy at a point 3 cm.
from the equilibrium.

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 mass of 3 kg stretches a spring 61.25 cm. Supposing that there
is no damping and that the mass is set in motion from 0.5 m above
its equilibrium position with a downward velocity of 2 m/s,
determine the position of the mass at any time. Find the amplitude,
the frequency, the period and the phase shift of the motion.

A spring of negligible mass stretches 3.00 cm from its relaxed
length when a force of 7.30 N is applied. A 0.520-kg particle rests
on a frictionless horizontal surface and is attached to the free
end of the spring. The particle is displaced from the origin to
x = 5.00 cm and released from rest at t = 0.
(Assume that the direction of the initial displacement is positive.
Use the exact values you enter to make later calculations.)
(f)...

A block with mass m =6.2 kg is hung from a vertical spring. When
the mass hangs in equilibrium, the spring stretches x = 0.22 m.
While at this equilibrium position, the mass is then given an
initial push downward at v = 4.6 m/s. The block oscillates on the
spring without friction.
What is the spring constant of the spring?
2)
What is the oscillation frequency?
After t = 0.32 s what is the speed of the block?
What...

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