The CM of an empty 1300-kg car is 2.30 m behind the front of the car. Part A How

Question

The CM of an empty 1300-kg car is 2.30 m behind the front of the car.

Part A

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 3.75 m from the front? Assume that each person has a mass of 65.0 kg .

Express your answer to three significant figures and include the appropriate units.

The CM of an empty 1300-kg car is 2.30 m behind the front of the car.

Part A

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 3.75 m from the front? Assume that each person has a mass of 65.0 kg .

Express your answer to three significant figures and include the appropriate units.

Explanation / Answer

Here ,

let the position of the car is xCM

xCM = (m1 * x1 + m2 * x2 + ...)/(m1 + m2 + ..)

xCM = (1300 * 2.3 + 2 * 65 * 2.7 + 3 * 65 * 3.75 )/(1300 + 5 * 65)

xCM = 2.51 m

the centre of mass of car is 2.51 m from the front of the car

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