Question

PLEASE HELP!!

Big Bee has a mass of 5 kg and hits a newly cleaned windshield accelerating at a rate of 2 m/s2.
Little Bee has a mass of 3 kg and is accelerating at a rate of 4 m/s2.

Which hits the windshield with a greater force? (Show your work below as proof.)

Answer 1

Answer: Little Bee hits the windshield with a greater force

According Newton's 2nd Law of Motion the force
`F` is directly proportional to the mass
`m` and to the acceleration
`a` of a body:

`F=m.a` (1)

We already know the mass and the accelaration of both bees. So, we have to find the force which with each bee hits the windshield. As follows:

For Big Bee with a mass
`m_(B)` and acceleration
`a_(B)`, the force
`F_(B)` is:

`F_(B)=m_(B).a_(B)` (2)

`F_(B)=(5kg)(2m/{s}^(2))`

Then:

`F_(B)=10N`>>>Force for Big bee

For Little Bee with a mass
`m_(L)` and acceleration
`a_(L)`, the force
`F_(L)` is:

`F_(L)=m_(L).a_(L)` (3)

`F_(B)=(3kg)(4m/{s}^(2))`

Then:

`F_(B)=12N`>>>Force for Little bee

At this point we are able to clearly see that Little Bee hits the windshield with a greater force than Big bee.