physics
posted by Justin .
A spring has a length of 0.260 m when a 0.300 kg mass hangs from it, and a length of 0.750 m when a 1.90 kg mass hangs from it.(a) What is the force constant of the spring?(b) What is the unloaded length of the spring?

m1*g = 0.30kg * 9.8N/kg = 2.94 N.
L1 = 0.26 m.
m2*g = 1.90kg * 9.8N/kg = 18.62 N.
L2 = 0.75 m.
a. K = (N2N1)/(L2L1)
K = (18.622.94)/(0.750.26) = 32 N/M
b. (2.94N/32N) * 1M = 0.092 M.
L + 0.092 = 0.26
L = 0.26  0.092 = 0.168 M.
Respond to this Question
Similar Questions

physics
In a room that is 2.13 m high, a spring (unstrained length = 0.30 m) hangs from the ceiling. A board whose length is 1.58 m is attached to the free end of the spring. The board hangs straight down, so that its 1.58m length is perpendicular … 
physics
In a room that is 2.78 m high, a spring (unstrained length = 0.30 m) hangs from the ceiling. A board whose length is 1.94 m is attached to the free end of the spring. The board hangs straight down, so that its 1.94m length is perpendicular … 
Physics
In a room that is 2.69 m high, a spring (unstrained length = 0.28 m) hangs from the ceiling. A board whose length is 2.22 m is attached to the free end of the spring. The board hangs straight down, so that its 2.22m length is perpendicular … 
physics
A spring has a length of 0.190 m when a 0.300 kg mass hangs from it, and a length of 0.750 m when a 2.80 kg mass hangs from it. (a) What is the force constant of the spring? 
physics
A spring has a length of 0.190 m when a 0.300 kg mass hangs from it, and a length of 0.750 m when a 2.80 kg mass hangs from it. (a) What is the force constant of the spring? 
Physics
A spring of unknown force constant is attached to a rod so that it hangs vertically. With no mass attached, the spring has a length of 12.0 cm. When a student attaches a mass of 50 grams, the spring stretches to a length of 18.0cm. … 
physics
A spring has a length of 0.248 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. (a) What is the force constant of the spring? 
Physics
An ideal spring hangs vertically from the ceiling. When a 1.0 kg mass hangs from the spring it is extended 5.0 cm from its relaxed length. A downward external force is now applied to the mass to extend the spring an additional 10 cm. … 
Physics
An ideal spring hangs vertically from the ceiling. When 1.0 kg mass hangs from the spring it is extended 5.0 cm from its relaxed length. A downward external force is now applied to the mass to extend the spring an additional 10 cm. … 
Physics
A vertical spring has a length of 0.175m when a 0.25kg mass hangs from it, and a length of 0.775m when a 1.9kg mass hangs from it. What is the force constant of the spring in N/m?