Impulsive Tensions Homework: 2 Masses, 6m/s Velocity

  • Thread starter Thread starter Bucky
  • Start date Start date
AI Thread Summary
The discussion revolves around a physics homework problem involving two masses connected by a string, where one mass is projected, and the other is affected by the tension in the string. The main points include determining the speed of mass B after the string becomes taut, calculating the impulsive tension, and assessing the loss in kinetic energy. There is confusion regarding the calculation of impulsive tension, with a focus on why it is only calculated for mass B and not for the entire system. Additionally, participants express concerns about terminology, specifically the distinction between impulsive tension and impulsive energy, and the implications of having more than two masses in the system. Clarification on impulse definitions and calculations for both masses is sought to resolve these misunderstandings.
Bucky
Messages
79
Reaction score
0

Homework Statement


Two small bodies A and B with masses 1kg and 2kg respectively are placed side-by-side on a smoooth horizontal table and are joined by a light inealstic string. A is projected horizontally away form B with a velocity of 6m/s. i)Determine the speed of B after the string becomes taut,
ii)the impulsive tension in the string,
iii)and the loss in kinetic engergy at this stage.


Homework Equations





The Attempt at a Solution



got all three parts ok, but i don't follow the answer for part ii (and in my opinion not understanding is just as bad as getting the wrong answer).

in my notes i have...


v = 0
u = 2m/s
(from i)


Impulsive Energy:

For B: 2u = T
2(2) = T
T = 4N/s


why is this only calculated for B? Since it's the energy in the string I thought it would be the energy in the whole system? or some sort of balance?

In the lecture notes example it seems the impulse is only calculated for the other particle in the system. why? also what would happen if you had 3+ particles in the system?
 
Physics news on Phys.org
The problem statement asks for "impulsive tension" and your solution talks about "impulsive energy", but neither term is correct, and your units are not correct. What is the definition of Impulse? You can calculate it using particle A or B.
 
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}...
Back
Top