Question

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

(i) The time taken by the bullet to come to rest.​​

Answer 1

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✵ Mass of bullet should be =10gm=0.01kg

initial velocity (U)of bullet=1000m/s

final velocity (V)=0m/s(because it has stopped after striking sand)

displacement of bullet=5cm=0.05m

✵ a)using 2as=V ²-U²

2(a)(0.05)=0²-1000²

2a(5/100)=-1000000

2a(1/20)=-1000000

a(1/10)=-1000000

a=-10000000=-10power7

acceleration of bullet is -10power7or -10000000

by using F=ma

F=0.01(10000000)

F=1/100(10000000)

F=-100000N

there fore resistive force of bullet =-100000N

✵ b)by using a=v-u/t

-10000000=0-1000/t

-10000000=-1000/t

-10000=t

or

t=-10⁴seconds

HOPE SO IT HELPS YOU