If the tires of the car in previous problem didn’t skid, the coefficient of friction would have
been 0.70. Would the force of friction be greater, lesser, or same? Would the car come to a
stop in a shorter, same, or longer distance?
To determine whether the force of friction would be greater, lesser, or the same if the tires didn't skid with a coefficient of friction of 0.70, we need to understand the relationship between the coefficient of friction and the force of friction.
The force of friction can be calculated using the following formula:
Force of friction = coefficient of friction × normal force
In this case, if the tires didn't skid, it means that the maximum static friction is being applied between the tires and the road. The maximum static friction is given by the formula:
Maximum static friction = coefficient of friction × normal force
Since the coefficient of friction is given as 0.70, the force of friction would be equal to the maximum static friction. Consequently, the force of friction would be the greatest in this scenario.
Now, let's consider the car's ability to come to a stop in a shorter, same, or longer distance. The stopping distance of a car depends on numerous factors, including the initial velocity, mass of the car, and the force of friction.
In this case, assuming the same initial conditions and no other changes apart from the coefficient of friction, a higher coefficient of friction would result in a greater force of friction. Consequently, with a coefficient of friction of 0.70, the car would come to a stop in a shorter distance compared to the previous scenario.
To summarize:
1. The force of friction would be greater if the tires didn't skid with a coefficient of friction of 0.70.
2. The car would come to a stop in a shorter distance compared to the previous scenario.