The center of mass velocity before and after collision.
Answer to Problem 52TP
The centre-of-mass velocity of the system will not change after collision as the there is no net external force acting on the system of the two cars. The velocity of the system is
Explanation of Solution
Given:
The mass of car A is,
The initial velocity of car A is,
The mass of car B is,
The initial velocity of car B is,
Formula used:
Write the expression for the conservation of momentum for the system.
Here,
The collision of both the cars and their directions is illustrated in the following figure.
Figure (1)
The sine and cosine component of the velocity of car B can be understood from the following diagram.
Figure (2)
Calculation:
Obtain the center of mass for the system after the collision. Calculation has to be done for both the horizontal and vertical components of the direction of motion.
The vertical component of the center of mass,
The horizontal component of the center of mass,
The resultant of horizontal and vertical component of center of mass is calculated as
The angle
Conclusion:
Therefore, the centre-of-mass velocity of the system will not change after collision as the there is no net external force acting on the system of the two cars. The velocity of the system is
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Chapter 8 Solutions
COLLEGE PHYSICS
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