Consider the following system, where F = 80 N, m = 1 kg, and M = 11 kg M m F What is the magnitude of the force with which one block acts on the other?

Respuesta :

Answer:

Force exerted by the lighter block on the heavier block is 6.63 N

Explanation:

Given Data

F = 80N

m = 1kg

M = 11kg

Solution:

*We assume that there is no friction

Calculating the acceleration of the system

a = [tex]\frac{F}{m+M} [/tex]

a = [tex]\frac{80}{1+11} [/tex]

a = [tex]\frac{80}{12} [/tex]

a = 6.67m[tex]s^{-2}[/tex]

Let's write the Equation of Motion of the heavier block  

[tex]F_{1}[/tex] = F - [tex]F_{2}[/tex]

Ma = F - [tex]F_{2}[/tex]

force exerted by the lighter block on the heavier block is calculated as

 [tex]F_{2}[/tex] = F - Ma

 [tex]F_{2}[/tex] = 80 - (11 x 6.67)  

 [tex]F_{2}[/tex] = 6.63 N