# A block of mass m = 5.6 kg is pulled up a θ = 24° incline as in the figure below with a force of magnitude F = 38 N.(a) Find the acceleration of the block if the incline is frictionless. (Give the magnitude of the acceleration.)(b) Find the acceleration of the block if the coefficient of kinetic friction between the block and incline is 0.11. (Give the magnitude of the acceleration.)

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A block of mass m = 5.6 kg is pulled up a θ = 24° incline as in the figure below with a force of magnitude F = 38 N.

(a) Find the acceleration of the block if the incline is frictionless. (Give the magnitude of the acceleration.)

(b) Find the acceleration of the block if the coefficient of kinetic friction between the block and incline is 0.11. (Give the magnitude of the acceleration.)

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Step 1

Given,

Step 2

Part (a):

When the surface is frictionless then forces acting on the component are shown below,

Step 3

Acceleration of block using Newton&rs... help_outlineImage TranscriptioncloseF-mg sin ma 38- (56)(9.80)sin 24° - (5.6)а 15.67 5.6 а32.799 m/s? a 2.8 m/s2 fullscreen

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### Newtons Laws of Motion 