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A strip of wood of mass M and length l i...

A strip of wood of mass `M` and length `l` is placed on a smooth horizontal surface. An insect of mass `m` starts at one end of the strip and walks to the other end in time `t`, moving with a constant speed. The speed of the insect as seen from the ground is

A

the speed of insect as seen from the groun is `lt(1)/(t)`

B

the speed of the strip as seen from the grounp is `(l)/(t)((M)/(M+m))`

C

the speed of the insect as seen from the groun is `(l)/(t)((M)/(M+m))`

D

the total kinetic energy of the system is `(1)/(2)(m+M)((l)/(t))^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A, C
From linear momentum conservation
`v & v'` are speed of strip and insect `w.r.t.` ground `Mv=mv'`
`v+v'=(l)/(t)rArrv'(1+(m)/(M))=(l)/(t) `

`v' =((M)/(m+M))(l)/(t).`
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