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The location of centre of mass of system of car and people inside the car
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Answer to Problem 48P
2.74 m.
Explanation of Solution
Given:
Mass of the empty car
Mass of the each person
Distance of centre of mass of car relative to front of the car
Mass of the two people sitting in front seat
Mass of the three people sitting in back seat
Distance of the centre of mass of two people sitting in the front seat relative to front of the car
Distance of the centre of mass of three people sitting in the back seat relative to front of the car
Location of centre of mass of the system relative to front of the car
Formula Used:
Centre of mass of system of masses is given as
Calculation:
Centre of mass of system is given as
Substituting the values
Conclusion:
Therefore, the distance of the centre of mass is 2.74 m.
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