10m is the total mass of a cannon that includ | vedclass

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(C) Let the initial mass of the cannon be $M = 10m$. The initial velocity is $v_0 = 10 \ m/s$.After firing $n$ shells, the mass of the cannon becomes

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If $u = 10$, after some shots $(n > 1)$, the velocity of the cannon may become $u$.

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(C) Let the initial mass of the cannon be $M = 10m$. The initial velocity is $v_0 = 10 \ m/s$.After firing $n$ shells, the mass of the cannon becomes $M' = 10m - nm$.Let the final velocity of the cannon be $v_f$.By the law of conservation of linear momentum:$P_{initial} = P_{final}$$(10m)(10) = (10m - nm)v_f + (nm)u$$100m = (10 - n)m v_f + nmu$$100 = (10 - n)v_f + nu$If the velocity of the cannon becomes $u$, then $v_f = u$.Substituting $v_f = u$ into the equation:$100 = (10 - n)u + nu$$100 = 10u - nu + nu$$100 = 10u$$u = 10 \ m/s$.Therefore, if $u = 10 \ m/s$, the velocity of the cannon will remain $10 \ m/s$ regardless of the number of shells fired.

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