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Grade: 12th pass
`        a is bomb initially at rest when it suddenly explodes into 3 pieces. a 5kg piece goes northat 6m/s, and a 2kg piece goes east at 20m/s. The speed of the 3rd piece is 25m/s. what is the mass of the 3rd piece? `
2 years ago

## Answers : (1)

Arun
23755 Points
```							Dear Student conservation of momentum Let m be the unknown mass North is zero degrees and angles increase clockwise as on a map or compass. In the North direction 5 kg(6 m/s) + m(25cosθ) = 0 m(25cosθ) = -30 In the East direction 2 kg(20 m/s) + m(25sinθ) = 0 m(25sinθ) = -40 m(25sinθ) / m(25cosθ) = 40/30 tanθ = 1.333 θ = 233.13° (which is close to WSW) m(25cos233.13) = -30 m = 2 kg or m(25sin233.13) = -40 m = 2 kg  RegardsArun (askIITians forum expert)
```
2 years ago
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