Speed bump reaction force on a car

AI Thread Summary
A car with a mass of 1950 kg hits a speed bump at a speed of 19.4 m/s, with the bump being 0.05 m high and at a 45° angle. The discussion centers on calculating the force acting on the front axle at the moment of impact, with some participants suggesting that the question may actually be about impulse rather than force. The force is considered indeterminate, as it depends on factors like tire rigidity. Participants recommend working symbolically and addressing the impulse direction and the movement of the car's tires post-impact. The conversation emphasizes the need for a conservation equation to relate these variables effectively.
Duffelmop
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Homework Statement


Hi I need to solve the next problem: a car with a total mass of 1950KG hits a speed bump at 19,4m/s. The speed bump is 0,05m high and has a angle of 45°. The car hits the bump with the front axle first. How much force acts on the front axle on the moment of impact.

Homework Equations


I started with Newton's law... but I totally messed it up...
Also did some search work, but it made it only more complex for me:
http://www.shimrestackor.com/Code/User_Manual/Sections/Suspension_Velocity/suspension-velocity.htm

The Attempt at a Solution

Sorry for my bad english.
 
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Are you sure you have quoted the question exactly? Seems like it should be asking for impulse, not force.
 
haruspex said:
Are you sure you have quoted the question exactly? Seems like it should be asking for impulse, not force.

They asked us to answer how much force was acting on the car in those conditions. It was an exam question this morning, and i really couldn't solve it. It seems for me like there is something missing...
 
Duffelmop said:
They asked us to answer how much force was acting on the car in those conditions. It was an exam question this morning, and i really couldn't solve it. It seems for me like there is something missing...
The force is indeterminate, since it will depend on e.g. the rigidity of the tyres. Assume it means impulse.
It's best to work symbolically and only plug numbers in at the end. Let the car be moving initially at speed u, have mass m, and tyres radius r.
Let the impulse from the speed bump be J and the horizontal component of the car's speed immediately afterwards be v.
For simplicity, we can take the car's mass as being m/2 at the middle of the front wheels and m/2 at the middle of the back wheels.
1. In what direction will the impulse be?
2. In what direction will the front tyres be moving immediately after impact, and at what speed? (Assume no bounce.)
3. In what direction will the rear tyres be moving?

Can you write a conservation equation to relate these?
 

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