Question

In: Physics

The CM of an empty 1000-kg car is 2.45 m behind the front of the car....

The CM of an empty 1000-kg car is 2.45 m behind the front of the car. How far from the front of the car will the CM be when two people sit in the front seat 2.70 m from the front of the car, and three people sit in the back seat 3.80 m from the front? Assume that each person has a mass of 70.5 kg .

Expert Solution

Let,

: be the position of the center of mass of the car.
: be the position of sum of the masses of two people sit in front of seat.
: be the position of sum of the masses of three people sit in back seat.
: be the mass of the car.
: be the sum of the masses of the two people sit in front of seat.
: be the sum of the masses of the three people sit in back of seat.

Given:-

Since each person has mass of 70.5kg, we can write,

When two people sit in front of the seat and three people sit in back of seat, then the center of mass of the system is given by,

This is the center of mass of the car from the front of the car.

genius_generous answered 8 months ago

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