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A rope pulls the block up the ramp. The block will accelerate up the ramp at 4.3

ID: 2240281 • Letter: A

Question

A rope pulls the block up the ramp. The block will accelerate up the ramp at 4.3 m/s2. The mass of the block is 6.0 kg. The amount of tension from the rope is 78 N and the coefficient of kinetic friction is 0.45. The angle the ramp makes with the horizontal is 30°. Calculate (to the nearest newton) the directions and magnitudes of the weight, normal force and friction force.


I am a bit confused on how to solve these types of force problems when angles get involved. please explain and show me how to do this clearly

A rope pulls the block up the ramp. The block will accelerate up the ramp at 4.3 m/s2. The mass of the block is 6.0 kg. The amount of tension from the rope is 78 N and the coefficient of kinetic friction is 0.45. The angle the ramp makes with the horizontal is 30Â degree . Calculate (to the nearest newton) the directions and magnitudes of the weight, normal force and friction force.

Explanation / Answer

weight = mg


= 6*9.8


= 58.8 N


It is Vertically Downward


N = Normal Force = mgCos(theta)


= 58.8*Cos(30 degree)


= 50.922 N


It is Upward perpendicular to the Inclined place


Frictional Force = uN


= 0.45*50.922


= 22.91 N


It is Downward along the Inclined plane

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