A basket of negligible weight hangs from a vertical spring scale of force constant 1500N/m .?
A basket of negligible weight hangs from a vertical spring scale with a force constant of 1500 N/m.
If you suddenly place a 3.00 kg adobe brick in the basket, what is the maximum distance the spring will stretch? Δl_max = ? cm. I calculated it to be 19.6 cm, but that seems to be incorrect.
Additionally, if you release the brick from a height of 1.00 m above the basket, how much will the spring stretch at its maximum elongation? Δl = ? cm.
2 Answers
let x metres be the vertical extension:
conservation of energy:
loss in potential energy = gain in spring p.e
=> mgx = ½kx²
=> x = 2mg/k = 2x3x(9.81)/1500 = 0.03924 m = 3.924 cm
b) conservation of energy:
mg (1+x) = ½kx²
=> 1500x² – 6gx – 6g = 0
or x² – .03924x – 0.004 = 0
solving x = [0.03924 ± 0.13243]/2 = 0.086 m = 8.6 cm
hope this helps
Related Questions
"If this same quantity of energy were transferred to 2.5 kg of water at its boiling point, what fraction of the water wo...
Have you ever noticed how the rear wheel of a bike seems to follow the front wheel closely? Why does this happen, and is...
Please identify each of the following as measurements: Length Area Volume Mass Density Time Temperature...
A rescue pilot needs to drop a survival kit while flying at an altitude of 2,000.0 meters with a forward velocity of 100...
Today's CPUs operate at speeds measured in gigahertz rather than kilohertz. Is this statement true or false?
I have a question regarding torque in a magnetism context. I understand that the equation τ = IABsin(θ) will be relevant...
A 4.5 kg box slides down a 4.4 m high frictionless hill, starting from rest. It then travels across a 2.4 m wide horizon...
How does friction play a role in sledding and skiing? Specifically, what are the effects of friction on speed, control,...
What is the speed of light in kilometers per hour?
A radio telescope features a parabolic surface, as illustrated below. Given that the telescope is 1 meter deep and 12 me...