Question
A mass of 220 g oscillates on a horizontal frictionless surface at a frequency of 2.7...
A mass of 220 g oscillates on a horizontal frictionless surface at a frequency of 2.7 Hz and with amplitude of 4.6 cm .
What is the effective spring constant for this motion?
How much energy is involved in this motion?
Homework Answers
Answer #2
Mass m=220g= 0.220kg
Frequency 
=2.7 Hz
so angular 
= 2
=2
2.7=
16.9646 radian/sec
relation between spring constant k , angular frequency
, and mass m is
=
(k/m)
so k=
2
m
k= 16.96462
0.220 = 63.32 N/m
Amplitude a=4.6 cm=0.046m
Energy E= 1/2
k
a2
E= 0.563.320.0462
= 0.06698 J
answered by: anonymous
Not the answer you're looking for?
Similar Questions
A mass attached to a spring oscillates back and forth on a horizontal frictionless surface. The...
A mass attached to a spring oscillates back and forth on a
horizontal frictionless surface. The velocity of the mass is
modeled by the function v = 2πfA cos(2πft) when at t = 0, x = 0.
What is the magnitude of the velocity in cm/s at the equilibrium
position for an amplitude of 4.5 cm and a frequency of 2.3 Hz?
A 275 g mass rests on a frictionless surface and is attached to an unknown horizontal...
A 275 g mass rests on a frictionless surface and is attached to
an unknown horizontal spring. It is stretched 2.50 cm and released,
and the oscillation of the system has a frequency of 1.00 Hz.
What is the force constant of the spring? (3)
What is the mechanical energy of system? (3)
Over 12.0 s, the amplitude decreases to 1.75 cm. What is the
damping constant? (4)
Bonus: what would the damping constant be if the system is
critically...
A 255 g mass attached to a horizontal spring oscillates at a frequency of 5.50 Hz...
A 255 g mass attached to a horizontal spring oscillates at a
frequency of 5.50 Hz . At t =0s, the mass is at x= 4.40 cm and has
vx =− 34.0 cm/s . Determine: The period. The angular frequency. The
amplitude. The phase constant.
A 205 g mass attached to a horizontal spring oscillates at a frequency of 1.00 Hz...
A 205 g mass attached to a horizontal spring oscillates at a
frequency of 1.00 Hz . At t =0s, the mass is at x= 4.20 cm and has
vx =− 23.0 cm/s . Determine: (a) the period s (b) the angular
frequency rad/s (c) the amplitude cm (d) the phase constant rad (e)
the maximum speed cm/s (f) the maximum acceleration cm/s2 (g) the
total energy J (h) the position at t = 4.2s
A 195 g mass attached to a horizontal spring oscillates at a frequency of 2.50 Hz...
A 195 g mass attached to a horizontal spring oscillates at a
frequency of 2.50 Hz . At t =0s, the mass is at
x= 6.00 cm and has vx =? 40.0 cm/s .
Determine:? the phase constant, the maximum speed, the maximum
acceleration and the total energy
A 280-g object attached to a spring oscillates on a frictionless horizontal table with a frequency...
A 280-g object attached to a spring oscillates on a frictionless
horizontal table with a frequency of 4.00 Hz and an amplitude of
25.0 cm.
1) Calculate the maximum potential energy of the
system.(Express your answer to three significant
figures.)
2) Calculate the displacement of the object when the potential
energy is one-half of the maximum.(Express your answer to three
significant figures.)
3) Calculate the potential energy when the displacement is 10.0
cm.(Express your answer to three significant figures.)
A 4.00 kg mass on a frictionless horizontal surface is attached to a spring. The other...
A 4.00 kg mass on a frictionless horizontal surface is
attached to a spring. The other end of the spring is fixed to a
wall. The spring constant is 6.00 N/m. The mass is moved to the
right, stretching the spring by 12.0 cm, and then released from
rest.
a) Find the frequency of the motion in Hz.
b) Find the force when x = 6.00 cm.
c) Find the time when x = 6.00 cm.
d) Find the velocity...
A 245 g mass attached to a horizontal spring oscillates at a frequency of 1.30 Hz...
A 245 g mass attached to a horizontal spring oscillates at a
frequency of 1.30 Hz . At t =0s the mass is at x= 4.20 cm and has
vx=−=− 42.0 cm/s Determine the phase constant and max speed
A 240 g mass attached to a horizontal spring oscillates at a frequency of 5.20 Hz...
A 240 g mass attached to a horizontal spring oscillates at a
frequency of 5.20 Hz . At t =0s, the mass is at
x= 6.80 cm and has vx =− 27.0 cm/s .
Determine:
The period.
Enter your answer numerically to five significant figures.
The angular frequency.
Enter your answer numerically to five significant figures.
The amplitude.
Enter your answer numerically to five significant figures.
The phase constant.
Enter your answer numerically to four significant figures.
(a) A 350-g mass is oscillating on a horizontal spring with a frequency of 20 Hz....
(a) A 350-g mass is oscillating on a horizontal spring with a
frequency of 20 Hz. What is the spring constant of the spring? (b)
How much total energy does the mass-and-spring combination have if
its amplitude is 2.0 cm? (c) If the mass were hung from a light
string, what length would the string have to be so that the
resulting pendulum would have a period ten times that of
the mass-and-spring combination in part (a)?
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 9 minutes ago
asked 19 minutes ago
asked 30 minutes ago
asked 51 minutes ago
asked 51 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago