Question

A 175 g mass hanging from a spring (k = 25.0 N/m) oscillates with an amplitude of 15.8 cm.

a) Calculate the acceleration of the mass when its displacement is 8.00 cm below equilibrium

b) Determine the maximum speed of the object.

Answer #1

Use the following information for parts a–c. A 175 g mass
hanging from a spring (k = 25.0 N/m) oscillates with an amplitude
of 15.8 cm.
a) Calculate the acceleration of the mass when its displacement
is 8.00 cm below equilibrium.
b) Determine the maximum speed of the object.
c) At what position does the maximum speed occur?

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 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 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 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 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 ?

A frictionless spring-mass system with spring constant
425 N/m and mass 1kg oscillates
with amplitude 8.0 cm. What is its speed at
position x = 3.5 cm? (Answer in
cm/s.)

A 2.1 kg mass is connected to a spring (k=175 N/m) and is
sliding on a horizontal frictionless surface. The mass is given an
initial displacement of +14 cm and released with an initial
velocity of -19 cm/s. Determine the acceleration of the spring at
t=1.2 seconds.
(include units with answer)

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