Question

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 speed equal one-half the maximum speed?

Answer #1

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 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...

A 0.43 kg object connected to a light spring with a spring
constant of 18.4 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 mass.
cm/s
(b) Determine the speed of the mass when the spring is
compressed 1.5 cm.
cm/s
(c) Determine the speed of the mass when the spring is stretched
1.5 cm.
cm/s
(d) For what value of x does the speed...

A 0.24 kg mass is attached to a light spring with a force
constant of 30.9 N/m and set into oscillation on a horizontal
frictionless surface. If the spring is stretched 5.0 cm and
released from rest, determine the following.
(a) maximum speed of the oscillating mass
b) speed of the oscillating mass when the spring is compressed
1.5 cm
(c) speed of the oscillating mass as it passes the point 1.5 cm
from the equilibrium position
(d) value of...

A 0.58 kg mass is attached to a light spring with a force
constant of 31.9 N/m and set into oscillation on a horizontal
frictionless surface. If the spring is stretched 5.0 cm and
released from rest, determine the following.
(a) maximum speed of the oscillating mass
m/s
(b) speed of the oscillating mass when the spring is compressed 1.5
cm
m/s
(c) speed of the oscillating mass as it passes the point 1.5 cm
from the equilibrium position
m/s...

A 0.68 kg mass is attached to a light spring with a force
constant of 36.9 N/m and set into oscillation on a horizontal
frictionless surface. If the spring is stretched 5.0 cm and
released from rest, determine the following.
(a) maximum speed of the oscillating mass
m/s
(b) speed of the oscillating mass when the spring is compressed 1.5
cm
m/s
(c) speed of the oscillating mass as it passes the point 1.5 cm
from the equilibrium...

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,
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(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
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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...

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