Question

In: Math

An object moves along a straight track from the point (4,−4,1) to the point (6,6,−7). The...

An object moves along a straight track from the point (4,−4,1) to the point (6,6,−7). The only force acting on it is a constant F=−5i−5j+4k newtons. Find the work done in joules if the distance is measured in meters.

Solutions

Expert Solution

As given an object moves along a straight track from the point (4,−4,1) to the point (6,6,−7) hence we can say that displacement vector is given by,

The only force acting on it is a constant F=−5i−5j+4k newtons hence we can say that we have,

we can write work done is given by,

As force is in newtons and distance is in meters we can write,

we know that 1 newton-meter = 1 joule hence we can write work done is given by,


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