The direction of motion and speed of the cars immediately after the collision.
Answer to Problem 27PP
Explanation of Solution
Given:
Mass of the car moving towards the south (- y-direction) is
Initial speed of the car moving towards the south (- y-direction) is
Mass of the car moving towards east (x-direction) is
Initial speed of the car moving towards east (x-direction) is
After the collision two cars are stuck together.
Formula used:
Momentum
Initial momentum of the car moving towards the south can be given by the equation
Initial momentum of the car moving towards west can be given by the equation
Since momentum is conserved, final momentum of the system is equal to the initial momentum of the system. That is
Final momentum of the system can also be calculated using the equation,
Where the sum of the masses of the two cars is taken since after collision two cars are stuck together.
From equation
Direction of motion of the cars after collision can be calculated using the equation,
Calculation:
Initial momentum of the car moving towards the south can be calculated by substituting the numerical values in equation
Initial momentum of the car moving towards the east can be calculated by substituting the numerical values in equation
Substituting the values of
The final velocity of the cars can be calculated by substituting the numerical values in equation
Direction of motion of the cars after collision can be calculated by substituting the numerical values in equation
Conclusion:
Speed of the cars after collision is
Chapter 9 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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