Question

57) A block is attached to the end of a spring such that its
period of oscillation is 4.0 seconds. What is the period of its
kinetic or potential energy change?

Answer #1

A block is attached to a spring, with spring constant k, which
is attached to a wall. It is initially moved to the left a distance
d (at point A) and then released from rest, where the block
undergoes harmonic motion. The floor is frictionless.
The points labelled A and C are the turning points for the
block, and point B is the equilibrium point.
1)
Which of these quantities are conserved for the spring and block
system (Select all...

A 28 kg block on a horizontal surface is attached to a
horizontal spring of spring constant k = 4.8 kN/m. The block is
pulled to the right so that the spring is stretched 7.2 cm beyond
its relaxed length, and the block is then released from rest. The
frictional force between the sliding block and the surface has a
magnitude of 37 N. (a) What is the kinetic energy of the block when
it has moved 1.6 cm from...

A spring is attached to a wall, and a 0.50 kg block is attached
to the other end of the spring. The spring-block system sits on a
frictionless surface so that the block is able to oscillate without
losing energy. The spring constant of the spring is k = 25 N/m. The
block is pushed so that it compresses the spring by 20 cm beyond
its equilibrium position. The block is released from rest at
exactly the same time as...

A simple harmonic oscillator consists of a 675-g block attached
to a lightweight spring. The total energy of the system is 9.40 J,
and its period of oscillation is 0.340 s.
(a) What is the maximum speed of the block?
Did you accidentally divide or take the inverse in your
calculation? m/s
(b) What is the force constant of the spring?
N/m
(c) What is the amplitude of the motion of the block?
m

A block is attached to a horizontal spring with a spring
constant of 5.0 kg s?
2.
The block is displaced
0.5m from equilibrium and released (see the figure below). The
block executes simple harmonic motion
with a period of 4.0 s .Assuming that the block is moving on a
frictionless surface, and the spring is of
negligible mass.
a. Calculate the mass of the block?
b. Determine the velocity of the block 1.0 seconds after it is
released?
The...

A block with mass m = 4.6 kg is attached to two springs with
spring constants kleft = 37 N/m and kright = 51 N/m. The block is
pulled a distance x = 0.27 m to the left of its equilibrium
position and released from rest.
What is the magnitude of the net force on the block (the moment
it is released)?
What is the effective spring constant of the two springs?
What is the period of oscillation of the...

A block with mass m = 4.9 kg is attached to two springs with
spring constants kleft = 30 N/m and kright =
55 N/m. The block is pulled a distance x = 0.22 m to the left of
its equilibrium position and released from rest.
1)
What is the magnitude of the net force on the block (the moment
it is released)?
2)
What is the effective spring constant of the two springs?
3)
What is the period of...

A block of mass m = 4.5 kg is attached to a spring with
spring constant k = 610 N/m. It is initially at rest on an
inclined plane that is at an angle of θ = 29° with respect
to the horizontal, and the coefficient of kinetic friction between
the block and the plane is μk = 0.13. In the
initial position, where the spring is compressed by a distance of
d = 0.19 m, the mass is at...

A block with mass 2 kg is attached to an ideal massless spring
and undergoes simple harmonic oscillations with a period of 0.50 s.
The surface is frictionless. The amplitude of the oscillation is
0.1 m. (a) What is the spring constant of the spring? (b) What is
the total mechanical energy of the system (the spring and block
system)? (c) What is the maximum speed of the block? (d) What is
the speed of the block when the displacement...

A block with mass 2 kg is attached to an ideal massless spring
and undergoes simple harmonic oscillations with a period of 0.50 s.
The surface is frictionless. The amplitude of the oscillation is
0.1 m. (a) What is the spring constant of the spring? (b) What is
the total mechanical energy of the system (the spring and block
system)? (c) What is the maximum speed of the block? (d) What is
the speed of the block when the displacement...

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