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In this lesson, we will learn how to calculate the work done by a constant force vector acting on a body over a displacement vector using the dot product.

Q1:

A particle moves in a plane in which and are perpendicular unit vectors. A force, acts on the particle. The particle moves from the origin to the point with position vector m. Find the work done by the force.

Q2:

A force N is acting on a particle whose position vector as a function of time is given by m. Calculate the work done by the force between and seconds.

Q3:

An object moves 10 m in the direction of j i + . There are two forces acting on this object: F i j k 1 = + 2 + 2 N and F i j k 2 = 5 + 2 − 6 N. Find the total work done on the object by the two forces.

Hint: You can take the work done by the resultant of the two forces or you can add the work done by each force.

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