Question

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.

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 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 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 0.48-kg object connected to a light spring with a force
constant of 17.8 N/m oscillates on a frictionless horizontal
surface. Assume the spring is compressed 4.5 cm and released from
rest.
(a) Determine the maximum speed of the object.
(b) Determine the speed of the object when the spring is
compressed 1.8 cm
(c) Determine the speed of the object as it passes the point 1.8
cm from the equilibrium position
(d) For what value of x does the...

A 0.51-kg object connected to a light spring with a force
constant of 20.6 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 object.
m/s
(b) Determine the speed of the object when the spring is compressed
1.5 cm.
m/s
(c) Determine the speed of the object as it passes the point 1.5 cm
from the equilibrium position.
m/s
(d) For what value of x...

A 0.55-kg object connected to a light spring with a force
constant of 19.8 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 object.
m/s
(b) Determine the speed of the object when the spring is compressed
1.5 cm.
m/s
(c) Determine the speed of the object as it passes the point 1.5 cm
from the equilibrium position.
m/s
(d) For what value of x...

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 0.34 kg object connected to a light spring with a force
constant of 22.2 N/m oscillates on a frictionless horizontal
surface. If the spring is compressed 4.0 cm and released from
rest.
(a) Determine the maximum speed of the object.
cm/s
(b) Determine the speed of the object when the spring is compressed
1.5 cm.
cm/s
(c) Determine the speed of the object when the spring is stretched
1.5 cm.
cm/s
(d) For what value of x does the...

A 0.33 kg object connected to a light spring with a force
constant of 18.2 N/m oscillates on a frictionless horizontal
surface. If the spring is compressed 4.0 cm and released from
rest.
(a) Determine the maximum speed of the object.
______ cm/s
(b) Determine the speed of the object when the spring is compressed
1.5 cm.
__________cm/s
(c) Determine the speed of the object when the spring is stretched
1.5 cm.
________cm/s
(d) For what value of x does...

(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?

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