Centripetal force stunt driver problem

In summary, the centripetal force stunt driver problem is a physics problem involving a car driving around a circular track at a constant speed. The formula for calculating centripetal force is F = mv^2/r and it is directly proportional to the square of the speed of the car. The centripetal force is affected by the mass of the car, the speed of the car, and the radius of the circular track. It is the force that keeps the car moving in a circular path and without enough of it, the car would not be able to maintain its motion and could potentially go off the track.
  • #1
xcortz
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Homework Statement


A stunt driver for a movie needs to make a 2545kg car skid on a large, flat, parking lot surface. The force of friction between the tires and the concrete surface is 1.75x10^4N and he is driving at a speed of 24m/s. As he turns more sharply, what radius of curvature will he reach when the car just begins to skid? (Ans: 83.8m)

Homework Equations


Fc=(m)(v)^2/r

The Attempt at a Solution


1.75x10^4N=(2545kg)(24m/s)^2/r
1.75x10^4N=1,465,920/r
0.011937m=r
 
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  • #2
You solved for 1/r.
 

1. What is the centripetal force stunt driver problem?

The centripetal force stunt driver problem is a physics problem that involves a car driving around a circular track at a constant speed. The problem asks for the value of the centripetal force needed to keep the car moving in a circular path.

2. What is the formula for calculating centripetal force?

The formula for calculating centripetal force is F = mv^2/r, where F is the centripetal force, m is the mass of the object, v is the velocity, and r is the radius of the circular path.

3. How is centripetal force related to the speed of the car?

Centripetal force is directly proportional to the square of the speed of the car. This means that as the speed of the car increases, the centripetal force required to keep it in a circular path also increases.

4. What factors affect the centripetal force in the stunt driver problem?

The centripetal force in the stunt driver problem is affected by the mass of the car, the speed of the car, and the radius of the circular track. As these factors change, the value of the centripetal force will also change.

5. How does centripetal force affect the motion of the car?

Centripetal force is the force that pulls an object towards the center of a circular path. In the stunt driver problem, it is the force that keeps the car moving in a circular path. Without enough centripetal force, the car would not be able to maintain its motion and would either slow down or go off the track.

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