A block with a mass m = 5 kg slides down an inclined plane with an angle θ = 37°. The block maintains a constant acceleration a = 5.6 m/s2 . (sin37° = 0.6, cos37° = 0.8). The coefficient of kinetic friction between the block and the inclined surface is 0.05. What is the normal force on the block?

Respuesta :

Answer:1148.6 N

Step-by-step explanation:

Given

mass of block =5 kg

Inclination angle [tex]\theta =37^{\circ}[/tex]

constant acceleration(a)[tex]=5.6m/s^2[/tex]

[tex]\mu [/tex] be the coefficient of kinetic friction =0.05

we know friction force[tex]=\mu N[/tex]

forces acting on block is [tex]mgsin\theta [/tex]down the inclined  plane

friction force acting parallel to surface opposing [tex]mgsin\theta [/tex]

Therefore

[tex]mgsin\theta - \mu N=ma[/tex]

[tex]\frac{m\left ( gsin\theta +a\right )}{\mu }=N[/tex]

[tex]N=\frac{5\left ( 9.81\times 0.6+5.6\right )}{0.05}[/tex]

N=1148.6 N

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