Objects connected, what is the force of one exerted on another

  • Thread starter Thread starter katamoria
  • Start date Start date
  • Tags Tags
    Force
AI Thread Summary
The discussion focuses on calculating the forces exerted by a train engine on its cars while accelerating at 1.1 m/s². Each car has a mass of 38,000 kg, and negligible friction is assumed. The key equation used is F=ma, where the net force is determined by the total mass of the cars being accelerated. It is emphasized that the force exerted on each car must account for the cumulative effect of the cars in front of it, as each car experiences the force from both the engine and the preceding cars. Proper isolation of the cars is crucial for accurate calculations.
katamoria
Messages
13
Reaction score
0

Homework Statement



A short train (engine + 4 cars) is accelerating at 1.1 m/s^2. if the mass of each car is 38000Kg, and if each car has negligible frictional forces acting on it, what are a) the force of the engine on the first car, b) force of the first car on the second car. and so on.
Note the importance of selecting the correct set of cars to isolate as your object.


Homework Equations



F=ma


The Attempt at a Solution



I've drawn a picture of the whole train traveling in the +x direction, and I've drawn the free body diagrams of each individual car with standard coordinate system, Normal and weight forces acting in the y directions, and the acceleration acting in the +x direction.
I know that there is no net force in any y direction. The only net force is the acceleration in x direction.
I'm probably making it too hard, but is it just plug in the mass of the car and the acceleration? does it make no difference where in the line up the car is, the force acted on each car by the car in front of it is the same for each one, right?
 
Physics news on Phys.org
Hm... I'm not quite sure, but I'm pretty sure that you need to take into account the car in question as well as every car before it. Because if you're looking for, say, the force on car 3 exerted by car 2... Well, car 2 is being acted on by both the engine and car 1, so the force accumulates. I think you need to use the mass of the entire train from the engine back to the car in question.
 
okay. ^.^
 
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...
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