Ricky Bobby: High Speed Adventure on the Highway

[ldbaseball16]

Ricky Bobby??

Homework Statement

Ricky Bobby jumps into his 1003kg pick up and heads out at 69.2mi/h. It's night and he notices too late the warning sign that the bridge is out. He slams on the brakes and skids for 45.2(kinetic friction=0.78)before hitting the long massive coil spring that is rigidly mounted onto the barricade. In addition to his skidding tires, the spring brings him to a stop. The spring constant is 3.57 x 10^4 N/m. how far does he travel after making contact with spring?

Homework Equations

1/2mv^2+1/2Kx^2=1/2mv^2+1/2kx^2 ?// I am not sure if this is the right equation i don't think it is I've looked everywhere in my book to find a relevant equation i was wondering if anyone can point me towards the right equation please

The Attempt at a Solution

refer to (b)2.

 

[tiny-tim]

Ricky Bobby jumps into his 1003kg pick up and heads out at 69.2mi/h. It's night and he notices too late the warning sign that the bridge is out. He slams on the brakes and skids for 45.2(kinetic friction=0.78)before hitting the long massive coil spring that is rigidly mounted onto the barricade. In addition to his skidding tires, the spring brings him to a stop. The spring constant is 3.57 x 10^4 N/m. how far does he travel after making contact with spring?
…
1/2mv^2+1/2Kx^2=1/2mv^2+1/2kx^2 ?// I am not sure if this is the right equation

Hi ldbaseball16!

Is that 45.2 feet?

This is an energy problem …

so yes, that equation is right, but you also need to use the work-energy theorem … work done by friction = loss of mechanical energy

 

[ldbaseball16]

ok Wnet=(1/2)mv^2-(1/2)mv^2 this is the work energy theorem but on the other equation i have to apply the kinetic friction to 45.2m? right and once i find the conservation of mechanical energy what do i do with that number? how do i apply it to the work-energy theorem?

 

[tiny-tim]

ok Wnet=(1/2)mv^2-(1/2)mv^2 this is the work energy theorem but on the other equation i have to apply the kinetic friction to 45.2m? right

uhh? too cryptic

just do it!