Question

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 of the block is 0.05 m (in other words, the distance between the block and the equilibrium position is 0.05 m, or the block is half way between the equilibrium and the maximum displacement)?

Answer #1

a)

angular speed is given by

Since

Therefore spring constant is

b)

Total mechnaincal energy is

c)

Maximum speed of the block is

d)

By Conservation of energy

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 6.5-kg mass is attached to an ideal 750-N/m spring. If the
system undergoes simple harmonic motion, what are the frequency,
angular frequency, and period of the motion?
The frequency, f =
The angular frequency, ω =
The period, T =
If the total mechanical energy of the system is 72 J, what are
the amplitude, maximum speed and maximum acceleration of the
motion?
The amplitude, A =
The maximum speed, vmax =
The maximum acceleration, amax =

Question 1) Clearly solve:
* A 0.50 kg mass attached to a spring undergoes a simple
harmonic movement with an amplitude of 0.40 m and a period of 3.0
s.
Find
(a) the total energy of this oscillator
(b) the maximum speed of the dough
(c) the speed when the mass is at x = +0.20 m from the equilibrium
position
(d) the elastic potential energy stored in the spring when the mass
moves at half its maximum speed

Part A
A block of unknown mass is attached to a spring with a spring
constant of 5.50 N/m and undergoes simple harmonic motion with an
amplitude of 10.0 cm. When the block is halfway between its
equilibrium position and the end point, its speed is measured to be
28.0 cm/s.
(a) Calculate the mass of the block.
________kg
(b) Calculate the period of the motion.
________s
(c) Calculate the maximum acceleration of the block.
________m/s2
Part B
A block-spring...

Consider a block attached to a horizontal spring that
undergoes simple harmonic motion as shown with an amplitude of A
=10 cm
If the kinetic energy of the block is increasing the
block must be
(a) moving away from the equilibrium
position
(b) moving towards the equilibrium position
c) at equilibrium position
(d) maximum displacement

A 0.500-kg mass attached to an ideal massless spring with a
spring constant of 12.5 N/m oscillates on a horizontal,
frictionless surface. At time t = 0.00 s, the mass is
located at x = –2.00 cm and is traveling in the positive
x-direction with a speed of 8.00 cm/s.
PART A: Find the angular frequency of the oscillations. Express
your answer in rad/s.
PART B: Determine the amplitude of the oscillations. Express
your answer with the appropriate SI units....

A 5
kg block of wood connected to a horizontal spring (constant 130
N/m) is at rest on a frictionless plane. Bullet (50 mg) is fired at
block and horizontal velocity is 25 m/s and bullet is stuck in it.
The block goes through simple harmonic oscillation.
What is the amplitude of resulting oscillation?
What is the total mechanical energy of the block with the
bullet inside?
What is the magnitude of velocity of the block with the bullet
when...

A block of mass m = 1.5 kg is attached to a massless,
frictionless vertical spring and stretches the spring by an amount
y0 = 0.15m
a)find the spring constant k of the spring
b) the block is then pulled down by an additional 0.05m below
its equilibrium position and is released. express the position of
the block during its resulting simple harmonic motion using the
equation y(t) = ymcos(wt+@).
c) find the maximum acceleration fo the block A(m).
d)...

A block of unknown mass is attached to a spring with a spring
constant of 5.50 N/m and undergoes simple harmonic motion with an
amplitude of 10.0 cm. When the block is halfway between its
equilibrium position and the end point, its speed is measured to be
27.0 cm/s.
(a) Calculate the mass of the block.
(b) Calculate the period of the motion.
(c) Calculate the maximum acceleration of the block.

A 2.30 kg frictionless block is attached to an ideal spring with
force constant 314 N/m . Initially the block has velocity -3.50 m/s
and displacement 0.240 m .
Find the amplitude of the motion.?
Find the maximum acceleration of the block.?
Find the maximum force the spring exerts on the block.?

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