Question

A 50.0 gram mass connected to a spring with a spring constant of 35 N m oscillates on a horizontal, frictionless surface with an amplitude of 4.00 cm. (i) What is the total mechanical energy of the system? (ii) What is the speed of the mass when the displacement is 1.00 cm? (iii) What is the potential energy when the displacement is 3.00 cm? (iv) What is the kinetic energy when the displacement is 3.00 cm?

Answer #1

A 35.0-g object connected to a spring with a force constant of
45.0 N/m oscillates with an amplitude of 5.00 cm on a frictionless,
horizontal surface.
(a) Find the total energy of the system.
mJ
(b) Find the speed of the object when its position is 1.30 cm. (Let
0 cm be the position of equilibrium.)
m/s
(c) Find the kinetic energy when its position is 3.00 cm.
mJ
(d) Find the potential energy when its position is 3.00 cm....

A 70.0-g object connected to a spring with a force constant of
30.0 N/m oscillates with an amplitude of 8.00 cm on a frictionless,
horizontal surface.
(a) Find the total energy of the system.
Answer- mJ
(b) Find the speed of the object when its position is 1.30 cm.
(Let 0 cm be the position of equilibrium.)
Answer- m/s
(c) Find the kinetic energy when its position is 3.00 cm.
Answer- mJ
(d) Find the potential energy when its position...

A 70.0 g object connected to a spring with a force constant of
25.0 N/m oscillates on a horizontal, frictionless surface with an
amplitude of 6.00 cm.
(a) Find the total energy of the system. mj
(b) Find the speed of the object when the position is 1.05
cm.
m/s
(c) Find the kinetic energy when the position is 3.50 cm.
mJ
(d) Find the potential energy when the position is 3.50 cm.

A 50.0-g object connected to a spring with a force constant of
100.0 N/m oscillates on a horizontal frictionless surface with an
amplitude of 8.00 cm.
a) What is the period (in seconds) and frequency of its
motion?
b) Assuming that the object's equilibrium position (i.e. when
the spring is unstretched) is designated as x = 0, and that at t =
0 the object is located at maximum amplitude, x(t) = A cos (ωt),
describes the motion. What is...

(15 pts) A 0.50 kg object connected to a spring with a spring
constant of 350 N/m oscillates on a horizontal, frictionless
surface with an amplitude of 4.00 cm. a) What is the angular
frequency of the oscillation? b) What is the maximum speed of the
object? c) At what position does this maximum speed occur? d) What
is the acceleration of the object at x = 2.00 cm? e) What is the
total energy of the mass-spring system?

A mass of 60.0 g, attached to a weightless spring with a force
constant of 40.0 N / m, vibrates at an amplitude of 5.00 cm on a
horizontal, frictionless plane.
(a) The total energy of the vibrating system,
(b) the velocity of the mass when the displacement is 2.00
cm.
Find.
When the displacement is 2.50 cm,
(c) kinetic energy and
(d) potential energy
Find.

A 0.43 kg object connected to a light spring with a spring
constant of 18.4 N/m oscillates on a frictionless horizontal
surface. The spring is compressed 4.0 cm and released from
rest.
(a) Determine the maximum speed of the mass.
cm/s
(b) Determine the speed of the mass when the spring is
compressed 1.5 cm.
cm/s
(c) Determine the speed of the mass when the spring is stretched
1.5 cm.
cm/s
(d) For what value of x does the speed...

A massless spring of spring constant k = 4872 N/m is
connected to a mass m = 210 kg at rest on a horizontal,
frictionless surface.
Part (a) The mass is displaced from equilibrium
by A = 0.73 m along the spring’s axis. How much potential
energy, in joules, is stored in the spring as a result?
Part (b) When the mass is released from rest at
the displacement A= 0.73 m, how much time, in seconds, is
required for...

A 0.400-kg object
attached to a spring with a force constant of 8.00 N/m vibrates in
simple harmonic motion with an amplitude of 12.2
cm.
the maximum value of its speed is
54.6
WHAT IS THE MAXIMUM VALUE OF IT'S
ACCELERATION?
QUESTION 2
A 45.0-g object
connected to a spring with a force constant of 40.0
N/m oscillates with an amplitude of 7.00
cm on a frictionless, horizontal
surface.
the total energy of
the system is 98
the speed of...

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...

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