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Question

State whether the following quantity is a scalar or vector?

(a) pressure (b) force

(c) momentum (d) energy

(f) weight (f) speed.

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Solution

Vector quantities have both magnitude and direction.

Scalar quantities have only magnitude.

so

a) Pressure - Pressure is a scalar quantity, not a vector quantity. It has magnitude but no direction sense associated with it. Pressure force acts in all directions at a point inside a gas.

b) Force- It is a vector quantity

c) Momentum -- Momentum is a vector quantity. For a particle with mass, the momentum equals mass times velocity, and velocity is a vector quantity while mass is a scalar quantity. A scalar multiplied by a vector is a vector.

d) Energy - It is the scalar quantity

e) Weight - Weight is a force which is a vector and has a magnitude and direction. Mass is a scalar. Weight and mass are related to one another, but they are not the same quantity.`

f) Speed - It is a vector quantity


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