Two bodies of 6 kg and 4 kg masses have their velocity (in m/s ) 5 i ^ - 2 j ^ + 10 k ^ and 10 i ^ - 2 j ^ + 5 k ^ respectively. Then the velocity of their centre of mass (in m/s ) is

Question

Two bodies of 6 kg and 4 kg masses have their velocity (in m/s ) 5 i ^ - 2 j ^ + 10 k ^ and 10 i ^ - 2 j ^ + 5 k ^ respectively. Then the velocity of their centre of mass (in m/s ) is, 5 i ^ + 2 j ^ - 8 k ^, 7 i ^ + 2 j ^ - 8 k ^, 7 i ^ - 2 j ^ + 8 k ^, 5 i ^ - 2 j ^ + 8 k ^

MARKS App · Accepted Answer

We know that v c m = Σ m i v i Σ m i v c o m = 6 ( 5 i ^ − 2 j ^ + 10 k ^ ) +4 ( 10 i ^ − 2 j ^ + 5 k ^ ) 6 + 4 = 7 i ^ − 2 j ^ + 8 k ^

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