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If a force 10hati +15hatj+25hatk acts o...

If a force `10hati +15hatj+25hatk` acts on a system and gives an acceleration `2hati+3hatj-5hatk` to the centre of mass of the system, the mass of the system is

A

5 units

B

`sqrt38` units

C

`5sqrt(38)` units

D

given data is not correct

Text Solution

Verified by Experts

The correct Answer is:
D
`vecF_(ext)=Mveca_(CM)` ie `veca_(CM)` lies in the direction of `vecF_(ext)`
Here `vecF_("ext")=5(2hati+3hatj+5hatk),veca_(CM)=2i+3hatj-5hatk`
Since,`vecF_("ext")and veca_(CM)` are not lying in the same direction, given data is incorrect.
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