Answer:
The arrow-apple combo will move with a velocity 3.6 m/s to the right.
Explanation:
Use the law of conservation of momentum to solve this problem. In this case the law can be written as follows:
[tex]m_{arrow}v_{arrow}+m_{apple}\cdot 0= (m_{arrow}+m_{apple})v_{both}[/tex]
from which the desired velocity can be isolated:
[tex]\frac{m_{arrow}v_{arrow}}{m_{arrow}+m_{apple}}= v_{both}\\v_{both} = \frac{0.25kg\cdot 5\frac{m}{s}}{0.35kg}=3.6\frac{m}{s}[/tex]
The arrow-apple combo will move with a velocity 3.6 m/s to the right.
