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Ivenika [448]
3 years ago
12

A block is sliding down an inclined plane that makes an angle of 65o with the horizontal. If the coefficient of kinetic friction

between the block and plane is 0.17, what is the magnitude of the block’s acceleration down the plane?

Physics
1 answer:
Nezavi [6.7K]3 years ago
4 0

Answer:

8.2 m/s²

Explanation:

m = mass of the block

μ = Coefficient of kinetic friction = 0.17

F_{n} = Normal force on the block by the ramp

f_{k} = kinetic frictional force

Force equation perpendicular to ramp surface is given as

F_{n} = mg Cos65

Kinetic frictional force is given as

f_{k} = \mu F_{n}

f_{k} = \mu mg Cos65

Force equation parallel to ramp surface is given as

mg Sin65 - f_{k} = ma

mg Sin65 - \mu mg Cos65 = ma

g Sin65 - \mu g Cos65 = a

(9.8) Sin65 - (0.17) (9.8) Cos65 = a

a = 8.2 m/s²

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