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

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answer;

d. are made mostly of liquid

explanation;

-the general   composition and structure planets includes; they have a thick gas and liquid layer covering a small,solid core. mostly the gases are hydrogen and helium atmosphere and layers of liquid hydrogen. for instance neptune and uranus are examples of the outer planets, they have a core covered by ice and ammonia.

-neptune's atmosphere is hydrogen and helium with a bit of methane so there is no oxygen to breath and the interior is made up of frozen water and ammonia with a rock and iron core. thus, there is no liquid water or solid surface to survive.