Q.

In a variable mass constant velocity system, how can we calculate force?

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a

F=m/t

b

F=v(d m / d t)

c

F=ma

d

F=mv

answer is C.

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Detailed Solution

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In its most general form, Newton's second law states that the rate of change of a particle's momentum p is supplied by the force acting on the particle, i.e., F=d p / d t.
If there is no force acting on the particle, then $\mathrm{p}$ must be constant, or conserved, because d p / d t=0 .
The general expression for force is F=d p / d t.
On solving we get, F=m(d v / d t)+v(d m / d t).
Since the system is constant velocity, hence d v / d t=0. What remains is F=v(d m / d t).

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