You are driving in your car with a sack of groceries in the seat next to you. You see a light change and you slow down and the sack remains on the seat. Suddenly the car in front of you slams on the brakes, and you are forced to brake harder
The groceries slide off the seat. Explain what happened.
At the lower deceleration the frictional force required to decelerate the sack of groceries was below the maximum static friction between the sack and the seat, but at the higher deceleration the frictional force was not sufficient, so the sack slid.
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