The next two questions refer to the following situation: A system is composed of

Question

The next two questions refer to the following situation: A system is composed of three small objects arranged along the x axis. The first object has a mass of 1 kg and is located at the origin, the second object has a mass of 3 kg and is located at x = 2 meters, and the third object has a mass of 2 kg and is located at x = 3 meters. There is no gravity in this problem. How far from the origin is the center of mass of the system? If a force of 6 N is applied to the 1kg mass in the y direction, what is the magnitude of the acceleration of the center of mass of the system?

Explanation / Answer

a)
xcm = (m1 .x1 + m2. x2 + m3. x3) /(m1 + m2+ m3)

= 1x1 + 3x2 + 2x3 / 6 = 2cm

ans = d) 2.0 cm

b)

F = m1a1

6N = 1 . a1

a1 = 6 m/sec2

acm = m1 a1 x m2a2 x m3a3 / m1 + m2 + m3

= (6x2 + 3x0 + 2x0) / 6 = 2m/sec2

ans = b) 2m/s2

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