What is the period of the spring's motion after the car strikes it?

AI Thread Summary
The discussion revolves around calculating the period of a spring's motion after an 870 kg car strikes it at 16 m/s and compresses it by 10.0 m. The user initially attempts to use the formula T = 2π√(m/k) but struggles with the calculations, leading to confusion about the correct period. After several attempts, they realize that multiplying by 0.25 instead of 0.5 yields the correct result. The conversation highlights the importance of understanding the dynamics of spring compression and the factors affecting the period of motion. Ultimately, the user finds a solution to the problem through trial and error.
frownifdown
Messages
72
Reaction score
0
A 870·kg car strikes a huge spring at a speed of 16·m/s, compressing it 10.0·m.

How long does it take the spring to stop the car?
2. Homework Equations - T= 2pi√m/k
I don't know why I can't get this problem right. I have 2pi√870/2227.2=3.92 then you would divide that by 2 because it's half the period to get it stopped which gives me 1.96 which doesn't work.
 
Last edited:
Physics news on Phys.org
Just solved it, not sure why I had to multiply it by .25 instead of .5 but I took a guess and it worked.
 

Thread 'Struggling to understand the concept of this 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 »
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 »

Similar threads

What is the Relationship Between Force and Spring Constant?
Replies
14
Views
3K
Energy stored in a double spring system
Replies
17
Views
1K
Spring constant of a car on springs
Replies
7
Views
7K
Distribution of Energy when work is done on a system of 2 masses connected by a spring
Replies
17
Views
2K
Absolute motion analysis of pulley-spring system
Replies
10
Views
1K
Why is my method for finding the spring constant incorrect?
Replies
17
Views
3K
Question about springs and rotational/translational energy
Replies
4
Views
1K
Calculating the spring force constant K
Replies
14
Views
2K
Spring Problem Involving Variables and Constants Only
Replies
3
Views
1K
Time period of SHM & Energy conservation in pulley-spring-block system
Replies
24
Views
3K

Hot Threads

Recent Insights

Back
Top