Two bodies of masses 1 kg and 2 kg move with velocities (2î+3ĵ) and (3î+4ĵ) m/s. If COM velocity is (xî+11ĵ)/3 m/s, find x.
Physics · Mixed Chapter
JEE Main Practice

Question

Two bodies of masses 1 kg and 2 kg move with velocities (2î+3ĵ) and (3î+4ĵ) m/s. If COM velocity is (xî+11ĵ)/3 m/s, find x.

G1 Physics · Accepted Answer

Step 1: v⃗cm=(m₁v⃗₁+m₂v⃗₂)/(m₁+m₂). Step 2: Numerator=(2î+3ĵ)+2(3î+4ĵ)=8î+11ĵ. Step 3: Divide by 3: v⃗cm=(8î+11ĵ)/3 m/s; x=8.