Question

An object with mass 0.220 kg is acted on by an elastic restoring
force with force constant 10.0 N/m. The object is set into
oscillation with an initial potential energy of 0.140 J and an
initial kinetic energy of 7.00×10^{−2} J.

a)What is the amplitude of oscillation?

b)What is the potential energy when the displacement is one-half the amplitude?

c)At what displacement are the kinetic and potential energies equal?

d)What is the value of the phase angle ϕ if the initial velocity is positive and the initial displacement is negative?

Answer #1

An object with mass 0.160 kg is acted on by an elastic restoring
force with force constant 11.0 N/m . The object is set into
oscillation with an initial potential energy of 0.140 J and an
initial kinetic energy of 7.00×10−2 J . What is the value of the
phase angle ϕ if the initial velocity is positive and the initial
displacement is negative?

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 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 1.0kg object initially moving with a velocity of 3.0m/s to the
right makes an elastic head-on collision with a 1.5kg object
initially moving to the left at 2.0m/s. a) What are the final
velocities of the two objects after the collision? b) Using the
given initial data for the two-object system as well as your
results, show that the total kinetic energy is conserved for this
elastic collision.

Consider a simple pendulum with a bob of mass 4.0 kg and a
string of length 45 cm.
Part A: Which of the following is true for small angular
displacement?
a. The net torque is proportional to the negative of the angle
displaced from the equilibrium
b. The period is inversely proportional to the amplitude
c. The kinetic energy is always equal to the potential energy
d. The minimum velocity is achieved when the bob is at
equilibrium
Part B:...

A ball with mass of 0.025 kg is thrown horizontally with
velocity of 1.5 m/s toward a wall in positive X direction. It
collides with the wall, then bounces back to the left with velocity
of 1.0 m. The Collison takes 0.015s.
What is the total initial momentum?
b) What is the total final momentum?
c)What is change in momentum?
d)What is the impulse?
e) What is the average force acting on the wall by the ball
during the collision?...

Object A has mass
mA
= 8
kg and initial momentum
A,i
= < 19,
-5,
0 > kg
·
m/s, just before it strikes object B, which has mass
mB
= 11
kg. Just before the collision object B has initial momentum
B,i
= < 6,
6,
0 > kg
·
m/s.
Consider a system consisting of both objects A and B. What is the
total initial momentum of this system, just before the
collision?
sys,i =
kg
·...

1. A mass 0.15 kg is attached to a horizontal spring with spring
constant k = 100 N/m moves on a horizontal surface. At the initial
moment in time, the mass is moving to the right at rate of 3.5 m/s
and displacement of 0.2 m to the right of equilibrium.
a) What is the angular frequency, period of oscillation, and
phase constant?
b) What is the amplitude of oscillation (Hint: Use energy.) and
maximum speed of the spring-mass system?

11.2 A mass oscillates on a spring of force constant 25.0 N/m
and is subjected to a damping force Fx = ?bvx , where b = 2.40
kg/s. (a) What special value of the mass m determines whether the
mass undergoes underdamped oscillations, is critically damped, or
is overdamped? (b) If m is eight times this special value, how long
does it take for the amplitude to be reduced by 50%? What is the
period of the oscillation? Plot the...

True or False:
The force in work is the magnitude of the constant force.
T________ F______
When pulling a chest across the floor with a rope tied to the
end, the work increases as the angle decreases towards the
horizontal plane of the floor. T_______ F________
The less the displacement of the apple when pushed across the
desk, the less work that is done. T_____F_____
The work to push the same chair across a surface of 10 m in
distance,...

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