A bullet of 10g strike the sand bag at a speed of 1000m/s and gets embedded after travelling 5cm.calculate
(a)Resistive force exerted by sand on bullet.
(b)Time taken by bullet to come to rest.
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Given A bullet of 10 g strike the sand bag at a speed of 1000 m/s and gets embedded after travelling 5 cm. calculate
(a)Resistive force exerted by sand on bullet.
(b)Time taken by bullet to come to rest.
Given mass of bullet m = 10 g = 0.01 kg
Speed v = 1000 m/s
Distance s = 5 cm = 0.05 m
We know that F = ma
and v^2 = u^2 – 2as
or a = v^2 – u^2 / 2s
Now F = m (v^2 – u^2 / 2s)
= 0.01 x (1000^2 – 0 / 2 x 0.05)
Resistive force will be F = 10^5 N
Now time taken to come to rest will be
S = (u + v / 2) t
So t = 2s / u + v
= 2 x 0.05 / 1000
t = 10 ^-4 secs
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