An object is displaced from point `A(2m,3m,4m)` to a point `B(1 m,2 m,3 m)` under a constant force ` F=(2hati + 3hatj + 4hatk)N`. Find the work done by this force in this process.

An object is displaced from point `A(2m,3m,4m)` to a point `B(1 m,2 m,

1.	An object is displaced from point `A(2m,3m,4m)` to a point `B(1 m,2 m,3 m)` under a constant force ` F=(2hati + 3hatj + 4hatk)N`. Find the work done by this force in this process.
Answer» `W=int_(r_i)^(r_f) Fdr=int_((2m, 3m, 4,))^((1m, 2m, 3m,))(2hati + 3hatk + 4hatk)(dxhati + dyhatj + dzhatk)` `=[2x + 3y + 4z] _((2m, 3m, 4m)) ^((1m, 2m, 3m,))=-9J` Alrernate Solution Since, `F = "constant"`, we can also use. `W=FS` Here, `S=r_f-r_i=(hati+2hatj+3hatj+3hatk)-(2hati+3hatj+4hatk)` `=(-hati-hatj-hatk)` `W=(2hati+3hatj+4hatk)(-hati-hatj-hatk)`ltbrge-2-3-4=-9J`.

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An object is displaced from point `A(2m,3m,4m)` to a point `B(1 m,2 m,3 m)` under a constant force ` F=(2hati + 3hatj + 4hatk)N`. Find the work done by this force in this process.

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