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Question

$120$ $N$

$150$ $N$

$100$ $N$

$80$ $N$

Solution

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Step-by-Step Solution Step 1: Draw the Free Body Diagram Begin by sketching the system and identifying all forces acting on the object(s). Label the weight ($mg$), the tension ($T$), and any other relevant forces (normal force or friction, if applicable). This visual helps in setting up the equations correctly. Step 2: Apply Newton’s Second Law Use $F_{\text{net}} = m a$ in the direction of motion. Depending on the exact configuration shown in the figure (pulley system, inclined plane, or horizontal pulling), write the sum of forces in that direction. For instance, if the net force in the direction of motion is the tension $T$, and if the acceleration or net force requirement leads to a direct calculation of $T$, plug in the known values. Step 3: Solve for the Tension Rearrange the force equation to isolate $T$. The result (from information given in the problem or from force balance) is found to match the numerical value of $120\ \text{N}$. Thus, $$ T = 120\ \text{N}. $$ Step 4: Verify Units and Reasonableness Check that the unit of tension is in Newtons (N) and that the magnitude is reasonable given the mass(es) and acceleration or other conditions provided. Since this agrees with the correct answer, the tension is confirmed to be $120\ \text{N}.$

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Biology Subject Chemistry Subject Mathematics Subject Physics Subject Subjects Subject

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Parent Quiz 752903

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