A 3.0-kg block sits on top of a 5.0-kg block which is on a horizontal surface. The 5.0-kg block is pulled to the right with a force F⃗ as shown in the figure. The coefficient of static friction between all surfaces is 0.57 and the kinetic coefficient is 0.43. What is the minimum value of F needed to move the two blocks?

Respuesta :

0.57 * (3*(3.0 kg * 9.8) + (5.0 kg * 9.8)) 

Answer:

[tex]F_s = 44.7 N[/tex]

Explanation:

As we know that the force is applied of the 5 kg block

so the minimum force that is required to move the two block must be slightly more than the maximum static friction force

so here we have

[tex]F_s = \mu_s F_n[/tex]

so we have

[tex]F_n = (m_1 + m_2) g[/tex]

[tex]F_n = (5 + 3)(9.8)[/tex]

[tex]F_n = 78.4 N[/tex]

also we know that

[tex]\mu_s = 0.57[/tex]

so we have

[tex]F_s = (0.57)(78.4)[/tex]

[tex]F_s = 44.7 N[/tex]

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