physics
posted by Justin .
(a) A bathroom scale has a spring that is compressed by 1.50 cm when a 165 kg person stands on the scale. Assuming the spring is described by Hooke's law, find its force constant.
(b) How much would it be compressed if a 94.0 kg person stands on the scale in an elevator that is accelerating upward at 1.25 m/s2?

(a)
F=k•Δx
F=mg =>
mg=k•Δx
k= mg/Δx =165/0.015 = 11000 N/m
(b)
m₁a=Nm₁g
N=m₁(g+a)
k•Δx₁= m₁(g+a)
Δx₁=m₁(g+a)/k=
=94(9.8+1.25)/11000=0.094 m
Respond to this Question
Similar Questions

physics
When a 2.60kg object is hung vertically on a certain light spring described by Hooke's law, the spring stretches 2.30 cm. (a) What is the force constant of the spring? 
physics
Sir Robert Hooke (16351703), studied the elastic properties of springs and formulated the law that bears his name. Hooke found the relationship among the force a spring exerts, F, the distance from equilibrium the end of the spring … 
physics
A man steps on his bathroom scale and obtains a reading of 243 lb. The spring in the scale is compressed by a displacement of 0.0480 inches. Calculate the value of its spring constant in (a) pounds per inch (b) newtons per meter. 
Physics
A block of wood is compressed 2.0 nm when inward forces of magnitude 120N are applied to it on two opposite sides. (a) Assuming Hooke's law holds, what is the effective spring constant of the block? 
Physics
When a 3.00kg object is hung vertically on a certain light spring described by Hooke's law, the spring stretches 3.07 cm. (a) What is the force constant of the spring? 
physics
When a 2.50kg object is hung vertically on a certain light spring described by Hooke's law, the spring stretches 3.13 cm. a)What is the force constant of the spring? 
physics
If you stand on a bathroom scale, the spring inside the scale compresses 0.50 mm, and it tells you your weight is 680 N. Now if you jump on the scale from a height of 1.4 m, what does the scale read at its peak? 
physics
If you stand on a bathroom scale, the spring inside the scale compresses 0.50 mm, and it tells you your weight is 760 N. Now if you jump on the scale from a height of 1.0 m, what does the scale read at its peak? 
phyics
A person who weighs 829 N steps onto a spring scale in the bathroom, and the spring compresses by 0.538 cm. (a) What is the spring constant? 
Physics
When a 2.00kg object is hung vertically on a certain light spring described by Hooke's law, the spring stretches 3.17 cm. (a) What is the force constant of the spring?