A bullet of 10 g strikes a sand bag at a speed of 103 ms-1 and gets embedded after travelling 5 cm. Calculate (i) the resistive force exerted by the sand on the bullet. (ii) the time taken by the bullet to come to rest.

Dear Student,


Given,m=10g=10-2kgs=5cm=0.05 mu=103m/sv=0comes to restThird equation of motion:v2-u2=2as0-1032=2a×0.05a=-1060.1=107m/s2
F=ma=10-2×107=-105NForce on bullet is -105N so the resistive force is 105N

  Also,v=u+at0=103+(-107)tt=103107=10-4sec



Regards,

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v2=u2+2as

0=(103)2+2×a×(5×10−2)
a=−107 m/s2

v=u+at
0=103−107×t
t=10−4 s

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