a boy is running across slipery flnr at 4.0 m/s and whn he decides to slide.if the coefficient of friction betwn his shoe and floor is0.250,hw far wil he slide before stopping
To calculate how far the boy will slide before stopping, we can use the concept of frictional force and deceleration.
First, let's find the deceleration of the boy. The deceleration is determined by the coefficient of friction between his shoe and the floor. The formula to calculate deceleration due to friction is:
deceleration = coefficient of friction * acceleration due to gravity
The acceleration due to gravity is approximately 9.8 m/s^2.
deceleration = 0.250 * 9.8 m/s^2 = 2.45 m/s^2
Now, we need to calculate the time it takes for the boy to stop. To find the stopping time, we can use the formula:
time = final velocity / deceleration
The final velocity is zero since the boy stops.
time = 0 m/s / 2.45 m/s^2 = 0 seconds
Since the time required to stop is zero, the boy will stop instantly without sliding any further.
Therefore, the boy will not slide at all before stopping.