Answer:
R = 4.24 x 10⁻⁴ m
Explanation:
given,
mass of the person = 60.3-kg
mass of the bullet = 10 gram = 0.01 Kg
velocity of bullet = 389 m/s
angle made with the horizontal = 45°
using conservation of momentum.
M v + m u = ( M + m ) V
60.3 x 0 + 0.01 x 389 = (60.3 + 0.01) V
[tex]V = \dfrac{3.89}{60.31}[/tex]
[tex]V = \dfrac{3.89}{60.31}[/tex]
V = 0.0645 m/s
for calculation of range
[tex]R = \dfrac{V^2sin 2 \theta}{g}[/tex]
[tex]R = \dfrac{0.0645^2sin 2 (45^0)}{9.8}[/tex]
R = 4.24 x 10⁻⁴ m
the distance actor fall is R = 4.24 x 10⁻⁴ m