Collision and Spring Constant: Calculating Amplitude for a Mass-Spring System

  • Thread starter Thread starter Yosty22
  • Start date Start date
  • Tags Tags
    Wave
AI Thread Summary
An 11.5 kg mass collides with a stationary 11.5 kg mass attached to a spring with a force constant of 110 N/m. The initial speed of the moving mass is 2.4 m/s, and the user attempted to calculate the amplitude using the formula A = v * sqrt(m/k) but obtained an incorrect result of 1.097 m. The user is unsure where the error occurred and seeks clarification on the original question. Additionally, the frequency of the system has been calculated as 0.348 Hz. The discussion focuses on resolving the amplitude calculation and understanding the problem requirements.
Yosty22
Messages
182
Reaction score
4

Homework Statement



An 11.5kg mass is traveling to the right with a speed of 2.4m/s on a smooth horizontal surface when it collides with and sticks to a second 11.5 kg mass that is initially at rest but is attached to a light spring with force constant 110N/m.

Homework Equations



f=1/T
T=1/f
F=-kx
A=v*(sqrt(m/k))

The Attempt at a Solution



I tried to use the equation A=V*sqrt(m/k). I plugged in 2.4 m/s in for v, k is the force constant, 110N/m, and I used 23 kg for the mass (the two masses added together). Solving for this, I get 1.097m. However, this is incorrect.
Any ideas where I went wrong?

Also, in case it is necessary, I have already solved for the frequency: f=0.348 Hz.
 
Last edited:
Physics news on Phys.org
what exactly are we looking for? I don't see the original question.
 

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

Why can we move the spring with constant speed when we apply a force?
Replies
29
Views
2K
Distribution of Energy when work is done on a system of 2 masses connected by a spring
Replies
17
Views
2K
Energy stored in a double spring system
Replies
17
Views
1K
What is the Relationship Between Force and Spring Constant?
Replies
14
Views
3K
Spring Problem Involving Variables and Constants Only
Replies
3
Views
1K
Vertical spring & maximum length
Replies
6
Views
1K
How Is Potential Energy Converted to Kinetic Energy in Physical Systems?
Replies
6
Views
1K
Question about springs and rotational/translational energy
Replies
4
Views
1K
Irodov- 1.123- Simple conceptual question with two masses connected by a spring
Replies
20
Views
639
Trouble understanding the influence of a real spring in a system
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top