Question

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.

Answer #1

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?

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....

An 81.9 g mass is attached to a horizontal spring with a spring
constant of 3.5 N/m and released from rest with an amplitude of
39.1 cm. What is the speed of the mass when it is halfway to the
equilibrium position if the surface is frictionless? Answer in
units of m/s.

A block of mass m = 0.53 kg attached to a spring with force
constant 119 N/m is free to move on a frictionless, horizontal
surface as in the figure below. The block is released from rest
after the spring is stretched a distance A = 0.13 m. (Indicate the
direction with the sign of your answer. Assume that the positive
direction is to the right.)
The left end of a horizontal spring is attached to a vertical
wall, and...

A 250 g cart is on a frictionless horizontal track. The cart is
attached to a spring of spring constant 125 N/m whose free end is
fastened to the end of the track. A 100 g soft iron mass is sitting
on and moving with the cart so that the total mass is 350 g. The
cart and mass are given a 5.00 cm displacement from their
equilibrium position and released. Determine the
(A)
(i) equation of motion for the...

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.?

A block of mass m = 0.79 kg is attached to a spring with force
constant 123.0 N/m. The block is free to move on a frictionless,
horizontal surface as shown in the figure. The block is released
from rest after the spring is stretched a distance A = 0.10 m to
the right. What is the potential energy of the spring/block system
0.25 s after releasing the block?

A 2.10 kgkg frictionless block is attached to an ideal spring
with force constant 317 N/mN/m . Initially the block has velocity
-4.00 m/sm/s and displacement 0.260 mm .
A.Find the amplitude of the motion.
B. Find the maximum acceleration of the block.
C. Find the maximum force the spring exerts on the block.

A 280-g object attached to a spring oscillates on a frictionless
horizontal table with a frequency of 4.00 Hz and an amplitude of
25.0 cm.
1) Calculate the maximum potential energy of the
system.(Express your answer to three significant
figures.)
2) Calculate the displacement of the object when the potential
energy is one-half of the maximum.(Express your answer to three
significant figures.)
3) Calculate the potential energy when the displacement is 10.0
cm.(Express your answer to three significant figures.)

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....

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