Question

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* does the speed equal one-half the
maximum speed?

m

Answer #1

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 0.53-kg object connected to a light spring with a force
constant of 22.2 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 0.48-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
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(c) Determine the speed of the object as it passes the point 1.8
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(d) For what value of x does the...

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 0.58 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 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
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(a) maximum speed of the oscillating mass
b) speed of the oscillating mass when the spring is compressed
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(c) speed of the oscillating mass as it passes the point 1.5 cm
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(d) value of...

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.

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