How can the stunt be possible with a minimum force of 600 N?

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The discussion centers on the physics of a stunt involving a car and a lorry, specifically analyzing the forces required to make the stunt feasible. The car, with a mass of 1250 kg and a speed of 28.0 m/s, and the lorry, with a mass of 3500 kg and a speed of 25.5 m/s, necessitate a minimum force of approximately 600 N to slow the car down effectively. Calculations using momentum and energy principles confirm that the stunt can be executed within the specified parameters, despite initial confusion regarding the application of conservation of momentum in this scenario.

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A car drives down a ramp onto the back of a moving lorry. Both are moving at high speed, the car slightly faster than the lorry.

The car has mass 1250 kg and is moving at a speed of 28.0 m s–1. The lorry has mass 3500 kg and a speed of 25.5 m s–1. The length of the flat back of the lorry allows a braking distance of 5.0 m.

By considering both momentum and energy show that the stunt is possible, provided a minimum force of about 600 N slows the car down. You should support your explanations with calculations.

Treat the situation as one in which two objects join together

I manage to get the answer of 576 N using the method told to use.

However, I wanted to know, why doesn’t the answer work out if I do:

1. find velocity using conservation of linear momentum (as would in the normal procedure)
2. use constant acc equations to find the deceleration
3. then do F=ma?

This would give Acc = -9.73 and F = 12kN?
 
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Good question... I don't believe conservation of momentum really applies here, as the two objects aren't crashing into each other. But I might just be crazy. Now for my question: What the heck is a lorry?
 
Char. Limit said:
Good question... I don't believe conservation of momentum really applies here, as the two objects aren't crashing into each other. But I might just be crazy. Now for my question: What the heck is a lorry?

Yeah it doesn't, that's what i thought as well, but the questions states it.

Its british for a truck lol...
 

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