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Two forces of magnitude 3N and 4N respec...

Two forces of magnitude 3N and 4N respectively are acting on a body. Calculate the resultant force if the angle between them is
`0^(@)`

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To calculate the resultant force when two forces of magnitudes 3N and 4N are acting on a body at an angle of 0 degrees, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Forces**: - Let \( F_1 = 3 \, \text{N} \) (the first force) - Let \( F_2 = 4 \, \text{N} \) (the second force) 2. **Understand the Angle**: - The angle \( \theta \) between the two forces is given as \( 0^\circ \). 3. **Use the Formula for Resultant Force**: - The formula to calculate the resultant force \( R \) when two forces are acting at an angle \( \theta \) is: \[ R = \sqrt{F_1^2 + F_2^2 + 2 F_1 F_2 \cos(\theta)} \] 4. **Substitute the Values**: - Since \( \theta = 0^\circ \), we know that \( \cos(0^\circ) = 1 \). - Substitute the values into the formula: \[ R = \sqrt{(3)^2 + (4)^2 + 2 \cdot 3 \cdot 4 \cdot 1} \] 5. **Calculate Each Term**: - Calculate \( (3)^2 = 9 \) - Calculate \( (4)^2 = 16 \) - Calculate \( 2 \cdot 3 \cdot 4 \cdot 1 = 24 \) 6. **Combine the Results**: - Now combine these results: \[ R = \sqrt{9 + 16 + 24} \] \[ R = \sqrt{49} \] 7. **Final Calculation**: - Calculate the square root: \[ R = 7 \, \text{N} \] ### Conclusion: The resultant force when the angle between the two forces is \( 0^\circ \) is \( 7 \, \text{N} \).

To calculate the resultant force when two forces of magnitudes 3N and 4N are acting on a body at an angle of 0 degrees, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Forces**: - Let \( F_1 = 3 \, \text{N} \) (the first force) - Let \( F_2 = 4 \, \text{N} \) (the second force) ...
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