15. a very heavy box needs to be pushed into the corner of a room. two friends work together and each push an adjacent sides of the box to move it diagonally (see image below). if the one friend pushes with a force of 550 n and the other friend pushes with a force of 520 n, what is the net force on the box, if the force of friction is 745 n in the opposing direction of the net force?

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Friction Force", "Vector Addition", "Net Force" ], "new_concepts": [], "current_concepts": [ "Friction Force", "Vector Addition", "Net Force" ] } ## Calculate the magnitude of the combined pushing force $$ \begin{aligned} F_{\text{push}, y} &= 550\text{ N} \ F_{\text{push}, x} &= 520\text{ N} \ F_{\text{push}} &= \sqrt{F_{\text{push}, y}^2 + F_{\text{push}, x}^2} \ F_{\text{push}} &= \sqrt{550^2 + 520^2} \ F_{\text{push}} &= \sqrt{302500 + 270400} \ F_{\text{push}} &= \sqrt{572900} \approx 756.90\text{ N} \end{aligned} $$ ## Subtract the opposing friction force to find the net force $$ \begin{aligned} F_{\text{friction}} &= 745\text{ N} \ F_{\text{net}} &= F_{\text{push}} - F_{\text{friction}} \ F_{\text{net}} &\approx 756.90 - 745 \ F_{\text{net}} &\approx 11.90\text{ N} \end{aligned} $$ $11.9\text{ N}$ { "subject": "Natural Science", "question_type": "Word Problem", "knowledge_point": [ "Natural Science", "Physics", "Net Force" ] }

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Question

Explanation:

Calculate the magnitude of the combined pushing force

Subtract the opposing friction force to find the net force

Answer: