Question

(a)Identify the scalar quantity from the following alternatives.
(i)Momentum (ii)Work (iii)Torque (iv)Acceleration

Answer 1

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❝ $\small \underline {\sf{ Work}}$❞

Work is a scalar product of force vector F and displacement s and hence work is a scalar quantity.

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$\small \underline \red {\sf{ Extra \ information : }}$

• Impulse, force and acceleration are vector quantities since they specify the direction while work done is a scalar quantity.
• There is no direction in which the work is done.
• Work done W = F ⋅ s.

Answer 2

Work is the scalar quantity from the given alternatives.

• A scalar quantity has only magnitude but a vector quantity has both magnitude and direction.
• Momentum is the product of the mass and the velocity of a body. It is a vector quantity as it has both magnitude and direction taken into consideration.
• Work is the product of the force applied and the displacement of the body. It is a scalar quantity as it has no direction.
• Torque is the product of radius of the circular motion, force acting on the body and the sine of the angle between force and the lever arm. It has a direction that constantly changes with time since it involves circular motion.
• Acceleration is the velocity of the body divided by time taken by it. It has direction too and hence, is a vector quantity.