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A shell at rest at the origin explodes i...

A shell at rest at the origin explodes into three fragments of masses 1kg, 2kg and m kg. The 1kg and 2kg pieces fly off with speeds of `5ms^(-1)` along x-axis and `6 ms^(-1)` along y-axis respectively . If the m kg piece flies off with a speed of `6.5ms^(-1)`, the total mass of the shell must be .

A

4 kg

B

5 kg

C

3.5 kg

D

4.5 kg

Text Solution

Verified by Experts

The correct Answer is:
B
`|(m_(1)v_(1))hat(i) + (m_(2)v_(2))hat(j)|=m_(3)v_(3)`
`rArr sqrt((1xx5)^(2) + (2xx6)^(2)) = m_(3) xx 6.5`
`m_(3) = (13)/(6.5) = 2kg`
Total mass = 1+2+2 = 5 kg
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