Answer:
Average frictional force,f = [tex]2.57\times 10^4\ N[/tex]
Explanation:
Mass of the bullet, [tex]m_1=7.8\ g=7.8\times 10^{-3}\ kg[/tex]
Initial speed of the bullet is 660 m/s
It penetrates a block of wood to a depth of 6.60 cm, d = 6.6 cm
It is required to find the magnitude of the average frictional force that is exerted on the bullet while it is moving through the block of wood. It is based on the concept of work energy theorem.
As it penetrates, its final speed, v = 0
[tex]W=\dfrac{1}{2}m(v^2-u^2)\\\\-fd=-\dfrac{1}{2}mu^2[/tex]
f is the frictional force
[tex]f=\dfrac{mu^2}{2d}\\\\f=\dfrac{7.8\times 10^{-3}\times (660)^2}{2\times 6.6\times 10^{-2}}\\\\f=2.57\times 10^4\ N[/tex]
So, the average frictional force that is exerted on the bullet while it is moving through the block of wood is [tex]2.57\times 10^4\ N[/tex].
