Coffee mug on car roof a professor drives off with his car (mass 870 kg), but forgot to take his coffee mug (mass 0.47 kg) off the roof. the coefficient of static friction between the mug and the roof is 0.7, and the coefficient of kinetic friction is 0.5. what is the maximum acceleration of the car, so the mug does not slide off?

maximum acceleration  is  6.86 m / s²

Explanation:

We use Newton's second law for each axis

X axis

      Fr = ma

Axis y

     N-W = O

     N = mg

The equation for the force of friction is

     fr = μ N

The maximum value of the friction force occurs with the static coefficient

     fr = 0.7 0.47 9.8

     fr = 3,224 N

     a = fr / m

     a = 3,224 / 0.47

     a = 6.86 m / s²

If the vehicle exceeds this acceleration the cup begins to slide and the friction force is reduced because its efficient changes to dynamic

a) cold, dry

explanation:

continental polar masses are cold and dry air masses because the cold air cannot hold much moisture. as they move into warmer air, they can trigger precipitation.

higher potential

explanation:

because it is in a high speed so it must move into a of high potential