Three particles are placed in the xy-plane. A 30 g particle is located at (3 m, 4 m), and a 40 g particle is located at (2 m, 2 m).
Where must a 20 g particle be placed so that the center of mass of the three-particle system is at the origin, (0 m, 0 m)?

a) (-3, -1)m
b) (+1, +3)m
c) (-0.5, -2)m
d) (+3, -1)m

cles the formula is as follows

x coordinate of CM = (m₁x₁ + m₂x₂ + m₃x₃ ) / ( m₁ +m₂ + m₃ )

m₁ ,m₂ ,m₃ are three masses and x₁, x₂ and x₃ are their x coordinates .

Putting the given data

0 = (30 x 3 + 40 x 2 + 20 x x₃ )/ 30 +40 + 20

0= 90 + 80 + 20 x₃ / 90

20 x₃ = - 170

x ₃ = - 8.5 cm

Similarly , to obtain y axis

y coordinate of CM = (m₁y₁ + m₂y₂ + m₃y₃ ) / ( m₁ +m₂ + m₃ )

0 = (30 x 4 + 40 x 2 + 20 x y₃ )/ 30 +40 + 20

0= 120 + 80 + 20 y₃ / 90

20 y₃ = -200

y ₃ = - 10 cm

No alternative correct.

weather forecasts are done by collecting data about the current state of the atmosphere mainly the temperature, humidity and wind and using meteorology, to determine the atmosphere that evolves over time. the h and l mean the high and low pressure. the red strip is a warm front. the blue strip is a cold front. the blue and red strip is a stationary front. the purple strip is a occluded front.

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answer: strength i guess

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