Question

A vertical spring has a length of 0.15 m when a 0.225 kg mass hangs from it, and a length of 0.725 m when a 1.875 kg mass hangs from it.

a. What is the force constant of the spring, in newtons per meter?

b. What is the unloaded length of the spring, in centimeters?

Answer #1

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 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 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...

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?

A block with mass m =6.7 kg is hung from a vertical spring. When
the mass hangs in equilibrium, the spring stretches x = 0.27 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 = 0.46 s what is the speed of the...

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 =6.2 kg is hung from a vertical spring. When
the mass hangs in equilibrium, the spring stretches x = 0.22 m.
While at this equilibrium position, the mass is then given an
initial push downward at v = 4.6 m/s. The block oscillates on the
spring without friction.
What is the spring constant of the spring?
2)
What is the oscillation frequency?
After t = 0.32 s what is the speed of the block?
What...

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 block with mass m =7.5 kg is hung from a vertical spring. When
the mass hangs in equilibrium, the spring stretches x = 0.25 m.
While at this equilibrium position, the mass is then given an
initial push downward at v = 4.1 m/s. The block oscillates on the
spring without friction.
After t = 0.3 s what is the speed of the block?
What is the magnitude of the maximum acceleration of the
block?
At t = 0.3...

(25%) Problem 6: A mass m = 0.85 kg hangs at the end of a
vertical spring whose top end is fixed to the ceiling. The spring
has spring constant k = 85 N/m and negligible mass. The mass
undergoes simple harmonic motion when placed in vertical motion,
with its position given as a function of time by y(t) = A cos(ωt –
φ), with the positive y-axis pointing upward. At time t = 0 the
mass is observed to...

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