Acceleration of a box across a rough horizontal plane

AI Thread Summary
A box with a mass of 50 kg is being pulled on a rough horizontal surface by a force of 150 N at a 30-degree angle. The calculations for the horizontal force (Fx) yield approximately 129.9 N, while the vertical force (Fy) is about 75 N. The normal force (FN) is calculated to be 415.5 N, leading to a kinetic friction force (Fk) of 83.1 N. The net force (Fnet) acting on the box is 46.8 N, resulting in an acceleration of approximately 0.936 m/s². The calculations appear correct, although there is a minor notation error in the final expression.
Confusedbiomedeng
Thread moved from the technical forums, so no Homework Template is shown
Not sure if I'm doing this right would love input

Consider a box m=50kg which is being pulled on a rough, horizontal surface by a person using a rope . Assume that the person is applying a force of T=150N on the block , the rope makes an angle of 30 degrees with the horizontal and the coefficient of kinetic friction between the block and the horizontal surface is 0.2
Determine acceleration of the block if the block remains in full contact with the floor

Fx=FCosθ
Fx=150(Cos30)
Fx=129.9N

Fy=FSinθ
Fy=150(sin30)
Fy=75N

Fk=μFN
FN=mg-fy
FN=50(9.81)-75
FN=415.5

FK=0.2(415.5)
FK=83.1

Fnet=Fx-Fk
Fnet=129.9-83.1
Fnet=46.8=ma=50(a)=46.8
a=0.936m/s
 
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It all looks good to me (except something's missing in the last symbol of the last line :oldsmile: ).
 
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