Concept explainers
To show: The speed of the car A before applying the brakes is exceeding
Explanation of Solution
Given:
The mass of the car A is
The mass of the car B is
The initial velocity of car B is
The distance traveled by the car A before the collision is
The distance traveled by the car A after the collision is
The distance traveled by the car B after the collision is
The coefficient of kinetic friction is
Formula used:
The expression for the distance can be sliding with respect to the change in kinetic energy is,
Here,
The expression for law of conservation of momentum is,
Here,
Calculation:
Consider the acceleration due to gravity as
Consider the final velocity of car A and car B in this collision is
The velocity of car A after collision is,
The velocity of car B after collision is,
The velocity of car B after collision is,
Consider the final velocity of car A when the break were first applied is
The velocity of car A the break were first applied using the relation is,
Conclusion:
Thus, the speed of the car A before applying the brakes exceeds
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