Question

A car is coming to the top of a steep hill. At the top the car notices that the entire downslope of the hill is covered in sticky asphalt. The driver makes the spilt second decision to go as fastt as they can to avoid getting stuck in the asphalt. Draw a diagram demonstrating all the forces acting on the car as it goes down the hill. Label all of the forces on your diagram. Note all assumptions.

Answer 1

Ma Sw TM

The mass of the car is m.

g is the gravitational acceleration.

The angle of the inclined hill is $\theta$

the normal force is $N=mg\cos\theta$

The frictional force is $F_f=\mu N=\mu\, mg\cos\theta$

where $\mu$ is the coefficient of kinetic friction on the inclined hill due to the presence of sticky asphalt.