Answer:
The speed of the apple will be 2.81 m/s when the arrow enters it.
Explanation:
We can find the speed of the apple by conservation of linear momentum:
Where:
is the mass of the apple = 100 g = 0.1 kg
is the mass of the arrow = 2.5 g = 0.0025 kg
and is the initial and final speed of the apple respectively
and is the initial and final speed of the arrow respectively
Since the apple was originally at rest ( = 0) and knowing that = when the arrow enters into the apple, we have:
Therefore, the speed of the apple will be 2.81 m/s when the arrow enters it.
I hope it helps you!