Conservation of momentum ( I Think )

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SUMMARY

The discussion focuses on the conservation of momentum in a collision scenario involving a 1500 kg car traveling at 40 km/hr that accelerates at 1.5 m/s² before colliding with a stationary vehicle of two-thirds its mass. The key equations used include F=Ma for calculating forces and the momentum conservation equation m1v1+m2v2=m1v3+m2v4. The net force during acceleration is calculated to be 2250 N, while the maximum frictional force available is approximately 5000 N. The ambiguity in the term "front and rear loads" was clarified, indicating it refers to the forces acting in the direction of motion and opposing it.

PREREQUISITES
  • Understanding of Newton's Second Law (F=Ma)
  • Knowledge of momentum conservation principles
  • Familiarity with basic kinematics (velocity, acceleration)
  • Concept of friction and its coefficients
NEXT STEPS
  • Study the application of Newton's laws in collision scenarios
  • Learn about calculating forces in motion using F=Ma
  • Explore the concept of momentum conservation in inelastic collisions
  • Investigate the effects of friction on vehicle motion and acceleration
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, automotive engineers, and anyone interested in understanding vehicle dynamics during collisions.

steve2510
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Homework Statement


A car ( mass 1500kg) is traveling at 40km/hr when it instantaneously starts to accelerate at a rate of 1.5ms-2 it then cruised at this new velocity before it collides with a stationary vehicle two third its mass at a set of traffic lights and the two vehicles move off together. Due to the collision the engines of both cars stall and gears are thrown into neutral so that the combines vehicles free wheel along the road.

Evaluate the front and rear loads before and during the acceleration (coefficient of friction = 0.35)

Homework Equations


F=Ma
m1v1+m2v2=m1v3+m2v4

The Attempt at a Solution


Well the Load during the first bit of acceleration would be MA which would be 1500 x 1.5 = 2250n
The speed it reaches would be v=u + at
40km/hr in m/s is 11.1 m/s
V=11.1 + 20 x 1.5 = 41.1 ms-1
Then once the join together there new mass would be 2500KG
But i don't really understand what they mean by loads.. can anyone point me in the right direction
 
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Yeah that is poor wording using the terms "front and rear loads". I think it means "what forces act in the direction of the first car's motion and what forces act opposite it's motion, before and during the acceleration. During, the net force is' 2250 N. Now since the max force of friction available to move the car forward is 0.35mg or about 5000 N, (assuming friction is at it's max value), then you can calculate the rear facing force which may be due to air drag, skin friction, or even gravity if the car is going uphill. Now assume before the acceleration, when the car is moving at constant speed, that the rear force remains the same, what is the forward force? I'm just guessing about this making my own assumptions, since the question is not clear.
 
yeah was very poor wording went to my lecturer and he apologised for the question as it is very unclear what i have to do. thanks anyway!
 

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