Question

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 equal one-half the maximum speed?

cm

Answer #1

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 0.51-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 0.53-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
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 0.58 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
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...

(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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