While driving to work last year, I was holding my coffee mug in myleft hand whil

Question

While driving to work last year, I was holding my coffee mug in myleft hand while changing the CD with my right hand. Then the cellphone rang, so I placed the mug on the flat part of my dashboard.Then, believe it or not, a deer ran out of the woods and on to theroad right in front of me. Fortunately, my reaction time was zero,and I was able to stop from a speed of 20 kg . kgDid the coffee mug slide? ; and the mass of the deerwas 120 m , just barely avoiding thedeer. Later tests revealed that the static and kinetic coefficientsof friction of the coffee mug on the dash are 0.50 and 0.30,respectively; the coffee and mug had a mass of 0.50 m/s in a mere 50

Explanation / Answer

let deceleration of the car=a u=20 v=0 s=50 v2=u2-2*a*s 0=202-2*a*50 a=4 m/s2 normal force on the coffee mug=0.5*9.8=4.9 N maximum static friction on the mug=4.9*0.5=2.45 force acting on the mug due to deceleration of the car=0.5*4=2N since static frictional force is greater than 2 N the coffee mugdoes not slide

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