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A force of (200 N) is applied across a (30 Kg) box, calculate the friction force and the vertical force at (a= 2 m/s2). If the force inclined by 60 degree from the horizontal plane (no move in y axis) *

User Graviton
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1 Answer

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Answer:

1.) Frictional force = 40N

2.) Vertical force = 294 N

Step-by-step explanation:

Given that a force of (200 N) is applied across a (30 Kg) box, calculate the friction force and the vertical force at (a= 2 m/s2). If the force inclined by 60 degree from the horizontal plane

The given parameters are:

Force F = 200 N

Mass M = 30 kg

Acceleration a = 2 m/s^2

Angle Ø = 60 degree

For the object to move horizontally, the force applied must overcome the frictional force.

But force F = product of mass and acceleration

That is,

FcosØ - fr = ma

Where fr = frictional force.

Substitute all the parameters into the formula

200 cos 60 - fr = 30 × 2

100 - fr = 60

-fr = 60 - 100

Fr = 40 N

Therefore, the frictional force is equal to 40N

The vertical force ( normal force) will be equal to the weight of the body

Weight = mg

Weight = 30 × 9.8

Weight = 294 N

User Celsomtrindade
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