Question

An object is moving in the z direction as *z*(*t*)
= (13.2 cm) cos[(3.14 rad/s)*t* - 1.57]. The object weighs
21.2 N on Earth.

What is the total kinetic plus potential energy of the object?

The mass is under the influence of a spring. What is its spring constant?

Answer #1

1. An object-spring system moving with simple harmonic motion
(SHM) has an amplitude A.
(a) What is the total energy of the system in terms of k and A
only?
(b) Suppose at a certain instant the kinetic energy is twice the
elastic potential energy, KE = 2PE. Re-write this equation by using
only the variables for the mass, m, velocity, v, spring constant,
k, and position, x.
(c) Using the results of (a) and (b) and conservation of energy,...

1) The position of a particle is given in cm by x = (4)
cos 3πt, where t is in seconds.
(a) Find the maximum speed.
m/s
(b) Find the maximum acceleration of the particle.
m/s2
2) An object of mass m is suspended from a vertical
spring of force constant 1692 N/m. When the object is pulled down
2.51 cm from equilibrium and released from rest, the object
oscillates at 5.10 Hz. Write expressions for the acceleration
ax...

An object of mass of 2.7 kg is attached to a spring with a force
constant of k = 280 N/m.
At t = 0, the object is observed to be 2.0 cm from its equilibrium
position with a speed of
55 cm/s in the -x direction. The object undergoes simple harmonic
motion “back and
forth motion” without any loss of energy.
(a) Sketch a diagram labeling all forces on the object and
calculate the maximum
displacement from equilibrium of...

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 small object with mass 4.10 kg moves counterclockwise with
constant speed 1.35 rad/s in a circle of radius 3.05 m centered at
the origin. It starts at the point with position vector
3.05î m. Then it undergoes an angular displacement
of 8.65 rad.
(a) What is its new position vector?
m
(b) In what quadrant is the particle located and what angle does
its position vector make with the positive x-axis?
Second at ??°
(c) What is its velocity?
m/s...

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...

A) A mass on a spring vibrates in simple harmonic motion at a
frequency of 4.0 Hz and an amplitude of 8.0 cm. If a timer is
started when its displacement from equilibrium is a maximum (hence
x = 8 cm when t = 0), what is the displacement of the mass when t =
3.7 s?
B) A mass of 4.0 kg, resting on a horizontal, frictionless
surface, is attached on the right to a horizontal spring with
spring...

A particle with charge -5.60 nC is moving in a uniform magnetic
field B=-(1.25 T)z (z-direction). The magnetic force on the
particle is measured to be ?? = ?(3.40 × 10?7 N)??? + (7.40 × 10?7
N)???. (a) Calculate all the components of the velocity of the
particle that you can from this information. (b) Are there
components of the velocity that are not determined by the
measurement of the force? Explain your answer. (c) Calculate the
scalar product of...

A high-speed particle is moving 8.0x107 m/s in a
uniform magnetic field of 3.0 T. The particle's mass is
4.8x10-24 kg with a charge of 6.5x10-16 C.
Please show your work.
a.) Calculate the radius the particle is traveling?
b.) In electron volts calculate Kinetic Energy?
c.) What is the potential difference the particle accelerated
due to its Kinetic Energy?

A 6.22-kg object passes
through the origin at time t = 0 such that its x component of velocity is 5.10 m/s and
its ycomponent of
velocity is -3.27 m/s.
(a) What is the kinetic energy of the object
at this time?
J
(b) At a later time t = 2.00 s, the particle is located at
x = 8.50 m and y = 5.00 m. What constant force acted
on the object during this time interval?
magnitude
N
direction

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