Question

A boy uses a force of 30N to lift his grocery bag while doing 60 Joules of work.How far did he lift the grocery bags?

Answer 1

Answer:

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Answer 2

He lifted the grocery bags by 2 m.

Given,

Force applied by the boy to lift the grocery bags=30 N

Work that he did to lift his bag=60 J.

To find,

how far(displacement) he lifted grocery bags.

Solution:

• Work is said to be done when an object is displaced by applying a force.

• $W=FXx.$
• It S.I. unit is joules.
• Work is the product of the component of the force in the direction of the displacement and the magnitude of this displacement.
• W=Fxcosθ.

• F- force applied
• x-displacement of the object.

• θ-angle between the force vector and the displacement vector.
• The dimensional formula of both work and energy is same i.e
• [$ML^{2} T^{-2}$].

$W=FXx\\60=30Xx\\x=\frac{60}{30} \\x=2 m.$

Hence, the displacement is 2 m.

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