A motor car moves with a velocity of 20m/s on a rough horizontal road and covers a displament of 50m. find the coefficient of dynamic friction between the type and the ground (g = 10m/s)
not enough information
vf^2=vi^2+ 2ad=20^2 + 2*a *50
but a= -mu*mg/m=mu*g
0^2=400-2*mu*g*50
solve for mu.
To find the coefficient of dynamic friction between the tires and the ground, we can use the equation that relates friction, mass, acceleration, and the coefficient of friction.
The equation for friction is:
Friction = coefficient of friction * normal force
In this case, the normal force is equal to the weight of the car, which is given by:
Weight = mass * acceleration due to gravity
First, let's calculate the weight of the car:
Given acceleration due to gravity (g) = 10 m/s²
Mass (m) is not given in the question, so we can't calculate the weight directly. However, we can use the displacement and velocity information to calculate the time it took the car to cover the distance.
Time taken (t) can be calculated using the equation:
Displacement = velocity * time
Rearranging the equation, we have:
time = displacement / velocity = 50 m / 20 m/s = 2.5 s
Now, once we have the time, we can find the acceleration (a) using the equation:
Acceleration = change in velocity / time
Here, the velocity is constant, so the change in velocity is zero. Therefore, the acceleration is zero.
Now, let's calculate the weight of the car using the equation:
Weight = mass * acceleration due to gravity = m * g
Since the acceleration is zero, the weight of the car is zero.
Since the weight of the car is zero, the normal force is also zero.
Now, we can use the equation for friction to find the coefficient of dynamic friction:
Friction = coefficient of friction * normal force
Since the normal force is zero, the friction force is also zero.
Therefore, we cannot determine the coefficient of dynamic friction between the tire and the ground based on the given information.