Two cars leave the same point at the same time, each travelling at the same cons

Question

Two cars leave the same point at the same time, each travelling at the same constant speed of 89.0 km/h and each having the same mass. However, the first car drives directly east, while the second car heads directly south. At what speed (the magnitude of the velocity) is the centre of mass of these two cars travelling? Give your answer as a positive value in km/h (without a sign). Two cars leave the same point at the same time, each travelling at the same constant speed of 89.0 km/h and each having the same mass. However, the first car drives directly east, while the second car heads directly south. At what speed (the magnitude of the velocity) is the centre of mass of these two cars travelling? Give your answer as a positive value in km/h (without a sign).

Explanation / Answer

m1 = m

m2 = m

v1 = 89 i km/h

v2 = -89 j km/h

velocity of center of mass

Vcm = ((m1*V1) + (m2*V2))/(m1+m2)

Vcm= ((m*89 i) - (m*9 j) )/(m+m)

Vcm = (1/2)*(89i - 89j)

Vcm = 44.5 i - 44.5 j

speed = sqrt(44.5^2 + 44.5^2) = 62.9 m/s <<<<<---------ANSWER

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