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A 3 kg block is pulled with a force of 45 b along with frictionless horizontal surface at an angle of 30 degrees what is the horizontal force acting on the block

User ArunK
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1 Answer

2 votes

Answer:

Fₐ ≈ 38.97 N

Explanation:

The illustration forms a right angle triangle with the horizontal side been the side of horizontal force.

The horizontal component of the applied force can be calculated as follows

Force applied on the block = 45 N

The force on the horizontal is the force of acceleration use to pull the block .

Fₐ = 45 N cos 30°

The formula is gotten by using the cosine ratio of the right angle triangle formed.

Recall

cos 30° = adjacent/hypotenuse

Fₐ = 45 N cos 30°

Fₐ = 45 × cos 30°

Fₐ = 45 × 0.86602540378

Fₐ = 38.9711431703

Fₐ ≈ 38.97 N

User Jvecsei
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