How Does Spring Constant Affect Work Done on a Stretched Spring?

  • Thread starter Thread starter grouchy
  • Start date Start date
  • Tags Tags
    Spring Work
AI Thread Summary
The discussion focuses on calculating the work done by a spring with a spring constant of 15 N/cm when stretched. To find the work done on the cage when the spring is stretched by 7.6 mm, the formula W = 0.5KX^2 is applied, where K is the spring constant and X is the displacement in centimeters. The conversion of 7.6 mm to 0.76 cm is noted as necessary for the calculations. The additional work done when stretching the spring by another 7.6 mm can be calculated using the same formula, considering the new total displacement. Understanding these calculations is crucial for solving the homework problem effectively.
grouchy
Messages
72
Reaction score
0

Homework Statement



A spring with a spring constant f 15 N/cm has a cage attached to one end.
a) How much work does the spring force do on the cage when the spring is stretched from its relaxed length by 7.6 mm?
b) How much additional work is done by the spring force when the spring is stretched by additional 7.6 mm?


I converted the 7.6 mm to .76 cm but I aint sure on the question for this. Is it W - 1/s x 15 x .76 ?
 
Physics news on Phys.org
use W=0.5KX^2 to find the work done..
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Thread 'Struggle to understand the concept of the question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »

Similar threads

Stretching of a rotating spring
Replies
8
Views
2K
A block dropping onto a spring system
2
Replies
58
Views
2K
Distribution of Energy when work is done on a system of 2 masses connected by a spring
Replies
17
Views
2K
Why can we move the spring with constant speed when we apply a force?
Replies
29
Views
2K
Force transmitted to a block in viscous fluid through a spring, cord, and pulley
Replies
6
Views
830
Stretched spring attached to the center of a pure rolling disk
Replies
11
Views
1K
Work Done by Spring Homework: Solve Equations for W
Replies
3
Views
5K
Spring constant formlula for Force and Work Done
Replies
12
Views
2K
Work done pushing a spring from the side
Replies
9
Views
2K
Work done by a force on a spring
Replies
7
Views
1K

Hot Threads

Recent Insights

Back
Top