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A body is constrained to move along the ...

A body is constrained to move along the z-axis is subject to a constant force F =`(-hati+2hatj+3hatk) N`. Calculate the work done by this force in moving the body a distance of 4m along the z-axis .

Text Solution

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Displacement , `vecs =4hatk m `
Force, `vecF=(-hati+2hatj+3hatk)N`
`therefore` Work done , W`=vecF*vecs=(-hati+2hatj+3hatk)*4hatk`
`=-4hati*hatk+8hatj*hatk+12hatk*hatk`
=0+0+12`*`1= 12 J.
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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+3hatk N 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 4m along the z-axis?

A constant force vecF =(-hati+2hatj+3hatk) N acts on a body. How much work is to be done to move the body first through a distance 4m along z-axis and then 3m along y-axis ?

Knowledge Check

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