Question

A particle with mass 1.67 kg oscillates horizontally at the end of a horizontal spring. A student measures an amplitude of 0.803 m and a duration of 129 s for 74 cycles of oscillation. Find the frequency, f, the speed at the equilibrium position, vmax, the spring constant, k, the potential energy at an endpoint, Umax, the potential energy when the particle is located 46.9% of the amplitude away from the equilibrium position, U, and the kinetic energy, K, and the speed, v, at the same position.

Answer #1

A particle with mass 1.23 kg oscillates horizontally at the end
of a horizontal spring. A student measures an amplitude of 0.847 m
and a duration of 125 s for 69 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 41.3% of the
amplitude away from the equiliibrium position, ?, and the kinetic
energy, ?, and...

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 0.225 kg block attached to a light spring oscillates on a
frictionless, horizontal table. The oscillation amplitude is
A = 0.190 m
and the block moves at 3.50 m/s as it passes through equilibrium
at
x = 0.
(a) Find the spring constant, k (in N/m).
N/m
(b) Calculate the total energy (in J) of the block-spring
system.
J
(c) Find the block's speed (in m/s) when x = A/2
m/s.

A 0.25 kg mass is attached to the end of a spring connected
horizontally to a wall. The mass is displaced 8.5 cm, then
released, and it undergoes SHM. The spring constant is 1.4 x 10^2
N/m. Assume the amplitude of oscillation remains constant.
a.) How far does the mass move in the first five cycles?
b.) Compare the phase after 2.5 cycles with the initial
phase.
c.) What is the period of oscillation of the mass-spring
system?

A 170 g block attached to a spring with spring constant 3.0 N/m
oscillates horizontally on a frictionless table. Its velocity is 25
cm/s when x0 = -5.6 cm .
What is the amplitude of oscillation?
What is the block's maximum acceleration?
What is the block's position when the acceleration is
maximum?
What is the speed of the block when x1 = 2.6 cm ?

A 120 g block attached to a spring with spring constant 3.0 N/m
oscillates horizontally on a frictionless table. Its velocity is 17
cm/s when x0 = -4.5 cm .
What is the amplitude of oscillation?
What is the block's maximum acceleration?
What is the block's position when the acceleration is
maximum?
What is the speed of the block when x1 = 2.9 cm ?

A 100 g block attached to a spring with spring constant 2.7 N/m
oscillates horizontally on a frictionless table. Its velocity is 22
cm/s when x0 = -5.6 cm . What is the amplitude of oscillation? What
is the block's maximum acceleration? What is the block's position
when the acceleration is maximum? What is the speed of the block
when x1 = 2.9 cm ?

A mass on a spring oscillates with an amplitude of 30.0 cm. How
far from the equilibrium position is the mass when one third of its
total energy is kinetic energy?

A 11.1 kg object on a horizontal frictionless surface is
attached to a spring with k = 1300 N/m. The object is
displaced from equilibrium 55.0 cm horizontally and given an
initial velocity of 12.0 m/s back toward the equilibrium position.
What are (a) the motion's frequency,
(b) the initial potential energy of the
block-spring system, (c) the initial kinetic
energy, and (d) the motion's amplitude?

A 200 g block attached to a spring with spring constant 2.5 N/m
oscillates horizontally on a frictionless table. Its velocity is 15
cm/s when x0 = -5.6 cm .
a. What is the amplitude of oscillation?
b. What is the block's maximum acceleration?
c. What is the block's position when the acceleration is
maximum?
d. What is the speed of the block when x1x1x_1 = 3.0 cm ?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 10 minutes ago

asked 12 minutes ago

asked 26 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago