Finding velocity (deals with coefficient of kinetic energy)

In summary, police lieutenants are examining the scene of an accident and have measured the skid marks of one of the cars to be 85 m long. The coefficient of kinetic friction between rubber and pavement is 0.70. To estimate the initial speed of the car, you can use the formula V2 = 2*a*x, where a = u*g and x is the distance over which the car decelerated.
  • #1
mandaa123
8
0

Homework Statement



Police lieutenants, examining the scene of an accident involving two cars, measure the skid marks of one of the cars, which nearly came to a stop before colliding, to be 85 m long. The coefficient of kinetic friction between rubber and the pavement is about 0.70. Estimate the initial speed of that car assuming a level road.



Homework Equations


Fnet=ma
Ff=(coefficient of kinetic energy) Fn
vf = vi + at

The Attempt at a Solution


i have no idea what to do since none of the formulas work with the knowns.
 
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  • #2
mandaa123 said:

Homework Statement



Police lieutenants, examining the scene of an accident involving two cars, measure the skid marks of one of the cars, which nearly came to a stop before colliding, to be 85 m long. The coefficient of kinetic friction between rubber and the pavement is about 0.70. Estimate the initial speed of that car assuming a level road.

Homework Equations


Fnet=ma
Ff=(coefficient of kinetic energy) Fn
vf = vi + at

The Attempt at a Solution


i have no idea what to do since none of the formulas work with the knowns.

You should also know this formula

V2 = 2*a*x

It among others can be found here:
https://www.physicsforums.com/showpost.php?p=905663&postcount=2

You also know that the force on the car from friction is m*a = u*m*g

Which means that a = u*g

V2 = 2*a*x = 2*u*g*x
 
  • #3
LowlyPion said:
You should also know this formula

V2 = 2*a*x

It among others can be found here:
https://www.physicsforums.com/showpost.php?p=905663&postcount=2

You also know that the force on the car from friction is m*a = u*m*g

Which means that a = u*g

V2 = 2*a*x = 2*u*g*x
what does x represent in that formula?
 
  • #4
mandaa123 said:
what does x represent in that formula?

Doesn't the problem say that it decelerated over a distance of 85 m ?

Wouldn't you want to know how much the car decelerated over that distance to give you an idea of what velocity it slowed from?
 

1. What is velocity?

Velocity is a physical quantity that describes the rate of change of an object's position with respect to time. It is a vector quantity, meaning it has both magnitude and direction.

2. How is velocity calculated?

Velocity is calculated by dividing the change in an object's position by the change in time. This can be represented by the formula v = Δx/Δt, where v is velocity, Δx is change in position, and Δt is change in time.

3. What is the difference between velocity and speed?

Velocity and speed are often used interchangeably, but they are actually two different concepts. Velocity takes into account the direction of an object's motion, while speed only measures the rate of change of an object's position regardless of direction.

4. How does the coefficient of kinetic energy affect velocity?

The coefficient of kinetic energy is a measure of how efficiently an object can convert its kinetic energy into work. It does not directly affect velocity, but objects with a higher coefficient of kinetic energy will have a greater ability to maintain their velocity.

5. Can velocity change without a change in speed?

Yes, velocity can change without a change in speed if the direction of an object's motion changes. For example, if a car is moving at a constant speed but makes a turn, its velocity will change because its direction of motion has changed.

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