a car whose brakes are locked skids to a stop in 100m from an initial velocity of 20m/s. find the coefficient of sliding friction
To find the coefficient of sliding friction, we can use the formula for the distance traveled during skidding:
d = (v^2) / (2 * μ * g)
where:
- d is the distance traveled (100 m in this case)
- v is the initial velocity (20 m/s in this case)
- μ is the coefficient of sliding friction (what we need to find)
- g is the acceleration due to gravity (approximately 9.8 m/s^2)
Now let's rearrange the formula and solve for μ:
μ = (v^2) / (2 * g * d)
Substituting the given values:
μ = (20^2) / (2 * 9.8 * 100)
μ = 0.2041
Therefore, the coefficient of sliding friction is approximately 0.2041.
KE=fricton work
1/2 m v^2=m*g*mu*distance
mu=v^2/(g*distance)