   Chapter 4, Problem 46P

Chapter
Section
Textbook Problem

A 3.00-kg block starts from rest at the top of a 30.0° incline and slides 2.00 m down the incline in 1.50 s. Find (a) the acceleration of the block, (b) the coefficient of kinetic friction between the block and the incline, (c) the frictional force acting on the block, and (d) the speed of the block after it has slid 2.00 m.

(a)

To determine
The acceleration of the block.

Explanation

Given Info: Mass of the block is 3.00 kg. The block slides 2.00 m down the incline in 1.50 s. The angle of inclination is 30.0° .

From Newton’s equation of motion, the displacement is,

s=ut+12at2

• u is the initial velocity.
• a is the acceleration.
• t is the time taken.

Substitute 0 m/s for u in the above expression.

s=(0m/s)t+12at2

On Re-arranging,

a=2st2

Substitute 2

(b)

To determine
The co-efficient of kinetic friction.

(c)

To determine
The force of kinetic friction.

(d)

To determine
The speed of the block.

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