Calculating Resistance of Race Car Nosecone for Head-On Collision

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SUMMARY

The discussion focuses on calculating the resistance of a single-seater race car's nosecone during a head-on collision with a non-yielding barrier. Key parameters include a car mass of 300 kg, an impact velocity of 7 m/s, and a nosecone length of 0.3 m. The peak deceleration is limited to 40g (392.4 m/s²), while the average deceleration is set at 20g (196.2 m/s²). The user, Rick, applies the SUVAT equations to derive the acceleration and force, ultimately calculating a force of 24,498 N but encounters difficulties in further calculations.

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Rickcd
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I am struggling to calculate the required resistance of a single seater race cars nosecone in the event of a head on collision to the nosecone.

The data I have been given is:

Mass of car: 300kg
Velocity at impact: 7ms^-1
Impacting to a non-yielding barrier
Length of nosecone 0.3m
Peak deceleration no more than 40g (392.4 ms^-2)
Average deceleration no more than 20g (196.2 ms^-2)

If anyone could provide me with the equations required to find these figures i would be greatly appreciative.

Thanks

Rick
 
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as I believe, using the SUVAT equations

s=0.3m
v=0.0ms^-1
u=7.0ms^-1
a is unknown
t is unknown
p=2100 kgms^-1

using v^2=u^2+2as

I can obtain

0=49+0.6a

giving

a=-81.67ms^-2

then

F=ma

F=300*81.67

so

F=24498 N

But I'm stuck from this point
 
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