Answer:
h = 1.56 mm
Explanation:
given,
mass of bullet (m)= 2.5 g
speed of bullet (u)= 350 m/s
mass of wooden plank (M)= 5 Kg
length of string = 10 m
initial velocity of block = 0 m/s
height of block above original position = ?
using conservation of momentum
m u + M u = (m+ M)v
0.0025 x 350 + 0 = (5 +0.0025)v
v = 0.175 m/s
from the conservation of energy
[tex]\dfrac{1}{2}(m+M)v^2 = (m+M)gh[/tex]
[tex]\dfrac{1}{2}v^2 =gh[/tex]
[tex]h=\dfrac{v^2}{2g}[/tex]
[tex]h=\dfrac{0.175^2}{2\times 9.8}[/tex]
h = 1.56 mm
