Respuesta :

Given

Mass is m=2.61 kg

Angle is

[tex]\theta=15^o[/tex]

Coefficient of friction is,

[tex]\mu_k=0.22[/tex]

To find

The acceleration of the block

Explanation

The free body diagram is

Thus at equilibrium,

[tex]\begin{gathered} ma=mgsin15-f \\ ma=mgsin15-\mu_kmgcos15 \\ \Rightarrow a=9.8sin15-0.22\times9.8cos15 \\ \Rightarrow a=0.45\text{ m/s}^2 \end{gathered}[/tex]

Conclusion

The acceleration is

[tex]0.45\text{ m/s}^2[/tex]

Ver imagen AlexisH39501