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Work, Energy, and Power — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsWork, Energy, and Power2 Marks
Question
A body constrained to move along the z-axis of a coordinate system is subject to a constant force F given by $\text{F}=-\hat{\text{i}}+2\hat{\text{j}}+3\hat{\text{k}}\text{N}$ where $\hat{\text{i}},\hat{\text{j}},\hat{\text{k}}$ are unit vectors along the x, y and z-axis of the system respectively. What is the work done by this force in moving the body a distance of 4m along the z-axis?
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Answer

We know that the work done is given as, W = F.s Here F = -i + 2j + 3k s = 0i + 0j + 4k So, we have W = (-i + 2j + 3k).(0i + 0j + 4k) Thus, we get W = 3k.4k = 12J

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