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Answer :
Answer:
305 N
Explanation:
First, we will draw a free body diagram of the block showing all forces acting on the block and their directions. Then, we will use Newton's second law to find the magnitude of the normal force. Finally, we will use the definition of friction to find the magnitude of the friction force.
There are three forces acting on the block:
- Weight force mg pulling down
- Normal force N pushing up perpendicular to the ramp
- Friction force f pushing up parallel to the ramp
Let's choose our coordinate system so that +y is perpendicular and +x is parallel. Summing the forces in the perpendicular direction:
∑Fᵧ = maᵧ
N − mg cos θ = 0
N = mg cos θ
Friction force is defined as the product of the normal force and the coefficient of friction.
f = Nμ
f = mgμ cos θ
Plugging in values:
f = (97.5 kg) (9.8 m/s²) (0.38) cos 33°
f = 305 N
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