Question

A spring has a length of 0.333 m when a 0.300 kg mass hangs from it, and a length of 0.750 m when a 2.42 kg mass hangs from it. (Use 9.80 m/s2 for g.)

(a) What is the spring constant of the spring? (Give your answer to at least two decimal places.) in N/m

(b) What is the unloaded length of the spring? in meters

Please provide step by step explanations, thank you!

I've gotten around 56N/m and 31N/m for (a) and both are wrong.

Answer #1

A spring has a length of 0.280 m when a 0.300 kg mass hangs from
it, and a length of 0.750 m when a 2.40 kg mass hangs from it.
(a) What is the force constant (in N/m) of the spring?
(b) What is the unloaded length (in m) of the spring?

A vertical spring has a length of 0.25 m when a 0.275 kg mass
hangs from it, and a length of 0.775 m when a 1.8 kg mass hangs
from it.
What is the force constant of the spring, in newtons per
meter?
What is the unloaded length of the spring, in centimeters?

A mass of 0.3 kg hangs motionless from a vertical spring whose
length is 0.83 m and whose unstretched length is 0.54 m. Next the
mass is pulled down to where the spring has a length of 1.03 m and
given an initial speed upwards of 1.4 m/s. What is the maximum
length of the spring during the motion that follows?

An ideal spring hangs from the ceiling. A 2.15 kg mass is hung
from the spring, stretching the spring a distance d = 0.0905 m from
its original length when it reaches equilibrium. The mass is then
lifted up a distance L = 0.0225 m from the equilibrium position and
released. What is the kinetic energy of the mass at the instant it
passes back through the equilibrium position?

Description:
A single mass m1 = 3.9 kg hangs from a spring in a
motionless elevator. The spring is extended x = 11 cm from its
unstretched length.
the spring constant of the spring is 347.45 N/m
Now, three masses m1 = 3.9 kg, m2 = 11.7
kg and m3 = 7.8 kg hang from three identical springs in
a motionless elevator. The springs all have the same spring
constant that you just calculated above.
the force the top spring...

A
0.300 kg mass is attached to a 26.6 N/m spring. It is pulled 0.120
m and released. How much potential energy does it have when it is
0.0600 m from equilibrium? (Unit = J)

A block with mass m =7.1 kg is hung from a vertical spring. When
the mass hangs in equilibrium, the spring stretches x = 0.24 m.
While at this equilibrium position, the mass is then given an
initial push downward at v = 4.5 m/s. The block oscillates on the
spring without friction.
1) What is the spring constant of the spring?
2) What is the oscillation frequency?
3) After t = 0.38 s what is the speed of the...

A block with mass m =7.3 kg is hung from a vertical spring. When
the mass hangs in equilibrium, the spring stretches x = 0.29 m.
While at this equilibrium position, the mass is then given an
initial push downward at v = 5 m/s. The block oscillates on the
spring without friction.
1) What is the spring constant of the spring? N/m Submit
2) What is the oscillation frequency? Hz Submit
3) After t = 0.45 s what is...

A mass m = 1.4 kg hangs at the end of a vertical spring
whose top end is fixed to the ceiling. The spring has spring
constant k = 75 N/m and negligible mass. At time
t = 0 the mass is released from rest at a distance
d = 0.35 m below its equilibrium height and undergoes
simple harmonic motion with its position given as a function of
time by y(t) = A cos(ωt – φ).
The positive y-axis...

A small ball of clay of mass m hangs from a string of length L
(the other end of which is fixed). A seond ball of clay of mass m/3
is to be launched horizontally out of a spring with spring constant
k. Once launched, the second ball will collide with and stick to
the hanging ball, and they'll follow a circular path around the
fixed end of the string.
A) Determine an expression for the distance (change in x)...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 5 minutes ago

asked 32 minutes ago

asked 33 minutes ago

asked 52 minutes ago

asked 56 minutes ago

asked 57 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago