Physics: Ablock slides down an incline that makes an angle of 30? with the horizontal direction. the coefficient of kinetic friction between the incline and the block is µk = 0.3 i) determine the acceleration of the block. ii) the block starts at rest from a height of 8m above the ground. what is the speed of the block when it reaches the bottom of the incline.

Ablock slides down an incline that makes an angle

emilyharper

13.01.2022

Acceleration = 2.35 m/ $s^{2}$

Speed = 8.67 m/s

Explanation:

The coefficient of friction , u =0.3

The angle of incline = 30°

The two forces acting on block are weight and friction.

weight along the incline = mg cos60° = $\frac{mg}{2}$ = 0.5 mg

Friction along incline = umg cos30° = mg $0.3\times \frac{\sqrt{3}}{2}$

Friction along incline = 0.26 mg

Net force acting on the weight = (0.5 - 0.26) mg = 0.24 mg

Acceleration = $\frac{net force}{mass}$ = 0.24 g = 2.35 m/ $s^{2}$

The height of incline = 8 m

Length of the inclined edge = 16 m

$v^{2}=u^{2}+2as$

$v^{2}= 2\times 0.24 \times 9.8\times 16$

v= 8.67 m/s

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