A bullet of mass m moving with velocity v₀ hits a wooden plank A of mass M placed on a smooth horizontal surface. The length of the plank is $ℓ$ . The bullet experiences a
constant resistive force F inside the block. The minimum value of v₀ such that it is able to come out of the plank is

Question

Infinity Learn · Accepted Answer

From Newton's third law a force F acts on the block in forward direction. Acceleration of block $$a1=FM$$ Retardation of bullet $$a2=FmRelative$$ retardation of $$bulletar=a1+a2=F(M+m)Mm$$ Applying $$v2=u2$$−$$2ar$$ℓ$$0=v02$$−$$2F(M+m)Mm$$⋅ℓTherefore, minimum value of $$v0$$ isor  $$v0=2F$$ℓ$$(M+m)Mm$$

A bullet of mass m moving with velocity v₀ hits a wooden plank A of mass M placed on a smooth horizontal surface. The length of the plank is $ℓ$ . The bullet experiences a
constant resistive force F inside the block. The minimum value of v₀ such that it is able to come out of the plank is

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A bullet of mass m moving with velocity v0 hits a wooden plank A of mass M placed on a smooth horizontal surface. The length of the plank is ℓ. The bullet experiences aconstant resistive force F inside the block. The minimum value of v0 such that it is able to come out of the plank is

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A bullet of mass m moving with velocity v₀ hits a wooden plank A of mass M placed on a smooth horizontal surface. The length of the plank is $ℓ$ . The bullet experiences a
constant resistive force F inside the block. The minimum value of v₀ such that it is able to come out of the plank is