Answer:
[tex]2.5506 m/s^2[/tex]
Explanation:
When the cup slides, the car acceleration would be equal to the acceleration caused by the friction of the roof on the cup, which generated by normal force, which equals to gravity force on the cup.
So the equation of friction force is as the following:
[tex]F_f = \muN = \muP = \mu mg[/tex]
where m is the mass of the cup, g = 9.81 m/s2 is the gravitational acceleration, and [tex]\mu = 0.26[/tex] is the friction coefficient
Newton's 2nd law for when the cup slides
[tex]a = F_f/m[/tex]
[tex]a = \frac{\mu mg}{m} = \mu g = 0.26 * 9.81 = 2.5506 m/s^2[/tex]
