Because a raindrop is "soft" and deformable, the collision duration is a relatively long 8.0 ms. what is the mosquito's average acceleration, in g's, during the collision

Question:

Because a raindrop is "soft" and deformable, the collision duration is a relatively long 8.0 ms. How many times larger than gravity is the mosquito's average acceleration during the collision? This is the information I have so far: A hovering mosquito is hit by a raindrop that is 45 times as massive and falling at 8.4 m/s , a typical raindrop speed. How fast is the raindrop, with the attached mosquito, falling immediately afterward if the collision is completely inelastic? V=8.22 m/s

The gravity of mosquito is 105 times larger than the raindrop.

Explanation:

From the L;aw of conservation of momentum

V= 8.22 m/s

Therefore, the speed of the raindrop attached to the mosquito is 8.22m/s

From the Newton's second law,

--------------------(1)

Force due to gravity,

F =mg  -----------------------------------(2)

Comparing both the equations  (1) and (2)

=105 g

So, the gravity of mosquito is 105 times larger than the raindrop.