Class 10 Optional Mathematics | Introduction of Scalar Product

Activity 1

Method

A man cuts grass with a lawnmower. He pushes along the handle with a force of F N, and the handle makes an angle θ with the horizontal ground.
The mower moves forward a distance d along the ground, from B to C. The part of his push that acts along the direction of motion is F cos θ.
Observe this situation and discuss the questions below.

Discussion

(a) Among the force applied by the man, the displacement and the amount of work, which quantity is a vector and which is a scalar? Why?
(b) How can the work done by the man be expressed as an equation?
(c) How much work has the man done?

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