A machine carries a 7.0 kg package from an initial position of d→i = (

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A machine carries a 7.0 kg package from an initial position of d→i = (0.8 m)i^ + (0.77 m)j^ + (0.28 m)k^ at t = 0 to a final position of d→f = (11.5 m)i^ + (12.0 m)j^ + (10.2 m)k^ at t = 12.0 s. The constant force applied by the machine on the package is F→ = (4.0 N)i^ + (7.0 N)j^ + (7.0 N)k^. For that displacement, find (a) the work done on the package by the machine's force and (b) the average power of the machine's force on the package. (a) Number Units (b) Number Units

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A machine carries a 7.0 kg package from an initial position of

{\vec{d}}_{i} = (0.8 m) \hat{i} + (0.77 m) \hat{j} + (0.28 m) \hat{k}

t = 0

to a final position of

{\vec{d}}_{f} = (11.5 m) \hat{i} + (12.0 m) \hat{j} + (10.2 m) \hat{k}

t = 12.0 s

. The constant force applied by the machine on the package is

\vec{F} = (4.0 N) \hat{i} + (7.0 N) \hat{j} + (7.0 N) \hat{k}

. For that displacement, find (a) the work done on the package by the machine's force and (b) the average power of the machine's force on the package. (a) Number i Units