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Chapter 4: Q43P (page 167)

A 3 kgblock measures5 cm by 10 cm by 20cm. When it slides on a 10cm by 20 cmface, it moves with constant speed when pulled horizontally by a force whose magnitude 3N is. How big a horizontal force must be applied to pull it with constant speed of it slides on a 5 cm by 20 cm face?

Short Answer

Expert verified

A horizontal Force is 3N.

Step by step solution

01

Identification of the given data

The mass of a block is 3 kg.

The magnitude of horizontal force is 3 N.

The size of the box is 5 cm b y 10 cm by 20 cm.

The size of the box in which the box sliding is 10 cm by 20 cm

02

Determination of a horizontal force must be applied to pull it with constant speed

For constant speed, acceleration will be zero.

So that

Horizontal forceF=μmg

Where,

F = 3N

μ=coefficientoffrictionm=massofablock⇒3kgg=accelerationduetogravity⇒9.81m/s23=μ×3×9.81μ=0.101

And coefficient of friction does not depend on surface area of contact. So the horizontal force must be applied to pull it with constant speed of it slides on a 5cm by 20 cm face will be 3N. Because mass of block is same and coefficient of friction is same.

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