A 3.0kg and 5.0kg box rest side by side on a smooth, level floor. Ahorizontal force of 32N is applied to the 3.0 kg box pushing itagainst the 5.0 kg box and as a result both boxes slide along thefloor. How large is the contact force between the two boxes?

a) 12N
b) 20N
c) 32N
d) 0N

a) 12N

Explanation:

The boxes move together, so we can use Newton's second law to find its acceleration

in this case

where

and

thus the acceleration, given a force of 32N, is:

and now we use this acceleration to find the force between the boxes, using the mass of the first box:

this is the force between the two boxes (box one on box two, and for the box two on box one is the same magnitude but in the opposite direction).

answer: the correct answer id option(d).

explanation:

snell's law refraction:

the angle of refraction =

the angle of incidence =

refractive index of air = = 1

refractive index of glycerol = 1.47

from the given options, the most closest answer to 63.72° is 65° of option (d).