Question

Q1-For a mass 206g oscillating on a spring, its maximum speed is 0.75m/s. If the spring constant is 71.2N/m, what is the maximum stretch (in unit of cm) of the spring during oscillation?

Q2-A spring is stretched, and stores an elastic potential energy of 332 joule. How much (in cm) has the spring be stretched if it has a spring constant of 136 N/m?

Q3For the application part of this experiment, you have a spring of spring constant 154N/m. You measured that the hanging mass has an oscillation amplitude 4.71cm, and a maximum speed 0.78m/s. How many gram is the mass?

Answer #1

a.) A 100 g mass is oscillating on a spring with a spring
constant of 3.0 N/m. The mass is initially at 15 cm from the
equilibrium position with an initial speed of 80 cm/s. What is the
oscillation amplitude?
b.) A 200 g mass is oscillating on a spring with a spring
constant of 4.0 N/m. The mass is initially at 15 cm from the
equilibrium position with an initial speed of 50 cm/s. What is its
maximum speed?

An oscillating block-spring system has a mechanical energy of
2.46 J, an amplitude of 12.5 cm, and a maximum speed of 1.29 m/s.
Find (a) the spring constant, (b) the mass of the block and (c) the
frequency of oscillation.

A 2 kg object is attached to a spring and is oscillating on a
horizontal surface. When the object has a speed of 10 m/s, the
spring is stretched 2 m. The spring constant is 10 N/m. Neglect
friction.
Find the maximum speed of the object.
What is the maximum stretch in the spring?
What is the object's speed when the spring is stretched 1 m?
What is the stretch in the spring when the object's speed is 5
m/s?

A 0.58 kg mass is attached to a light spring with a force
constant of 31.9 N/m and set into oscillation on a horizontal
frictionless surface. If the spring is stretched 5.0 cm and
released from rest, determine the following.
(a) maximum speed of the oscillating mass
m/s
(b) speed of the oscillating mass when the spring is compressed 1.5
cm
m/s
(c) speed of the oscillating mass as it passes the point 1.5 cm
from the equilibrium position
m/s...

A 0.68 kg mass is attached to a light spring with a force
constant of 36.9 N/m and set into oscillation on a horizontal
frictionless surface. If the spring is stretched 5.0 cm and
released from rest, determine the following.
(a) maximum speed of the oscillating mass
m/s
(b) speed of the oscillating mass when the spring is compressed 1.5
cm
m/s
(c) speed of the oscillating mass as it passes the point 1.5 cm
from the equilibrium...

8. A 0.40-kg mass is attached to a spring with a force constant
of k = 387 N/m, and the mass–spring system is set into
oscillation with an amplitude of A = 3.7 cm. Determine the
following.
(a) mechanical energy of the system
J
(b) maximum speed of the oscillating mass
m/s
(c) magnitude of the maximum acceleration of the oscillating
mass
m/s2

A 0.774 kg mass is on the end of a frictionless, horizontal
spring. The spring is stretched 0.0566 m and released. It completes
12 oscillations in 4.62 s. Calculate: a) the oscillation frequency,
b) the oscillation period, c) the spring force constant, d) the
total mechanical energy of the oscillating spring, e) the maximum
speed of the oscillating spring.

A 0.24 kg mass is attached to a light spring with a force
constant of 30.9 N/m and set into oscillation on a horizontal
frictionless surface. If the spring is stretched 5.0 cm and
released from rest, determine the following.
(a) maximum speed of the oscillating mass
b) speed of the oscillating mass when the spring is compressed
1.5 cm
(c) speed of the oscillating mass as it passes the point 1.5 cm
from the equilibrium position
(d) value of...

An oscillating block–spring system has a mechanical energy of
5.00 J, an amplitude of 22.0 cm, and a maximum speed of 3.20 m/s.
Find the frequency of oscillation.

A mass of 0.5 kg is attached to a horizontal spring with k=12
N/m.. At t=0, the spring has a stretch of 3 cm and the mass moves
at 0.5 m/s. Assume no friction.
(a) What is the amplitude (max stretch) of the oscillation? (b)
What is the maximum speed of the mass? (c) What is the frequency of
the oscillation, in rad/s?

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