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A body constrained to move along the z-a...

A body constrained to move along the z-axis of a coordinate system is subject to a constant force F given by `F=-hati+2hatj+3hatkN` where `hati, hatj, hatk` 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 4 m along the z-axis ?

Text Solution

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`vecF = -hati + 2hatj + 3hatk N , vecS = 4hatk`
We know that `W = vecF. vecS implies W = (-hati + 2hatj + 3hatk).(4hatk) therefore W = 12J`
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