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QUESTION 7 / 3042:18

A 2 kg block slides down a rough incline of 30°. If μ = 0.2, find its acceleration. (g = 9.8 m/s²)

A3.2 m/s²
B6.6 m/s²SELECTED
C4.9 m/s²
D1.7 m/s²
DIAGNOSIS · Q7

You added friction to the pull of gravity. Friction opposesthe slide, so it's mg sin θ − μmg cos θ.

Revise: friction on inclines →
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YOUR SOLUTION · Q7 · UPLOADED PHOTO1 MISCONCEPTION FOUND
Given: m = 2 kg, θ = 30°, μ = 0.2
N = mg cos θ = 16.97 N
f = μN = 3.39 N
F = mg sin θ + f = 13.19 N
a = F / m = 6.6 m/s²
friction opposes the slide! → mg sin θ − f
should be 3.2 m/s²
A · YOUR THINKING

You pictured friction as a force that helps the block along, so you added it to gravity's pull.

B · WHERE IT BROKE

Line 4. The setup and normal force were correct; the sign of friction flipped the answer.

C · FIX THE CONCEPT

Draw the free-body diagram first. Mark the direction of motion, then put friction against it.

Practise this concept →
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Friction on inclines3 of 5 solved
MISSED · Q7

A 2 kg block slides down a rough incline of 30°. If μ = 0.2, find its acceleration.

CONCEPT · Direction of friction
SAME CONCEPT

A 5 kg box rests on a 37° incline with μ = 0.3. Find the minimum force needed to push it up.

REVERSE PROBLEM

At what angle does a block just begin to slide if the coefficient of static friction is 0.4?

HARDER VARIANT

Two blocks joined by a string slide down an incline with different μ. Find the tension in the string.

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MODULE 1Mixed difficulty
MODULE 2 · IF YOU'RE FLYINGHarder questions, higher ceiling
MODULE 2 · IF YOU'RE STUCKRebuild the foundations first
QUESTION DIFFICULTY, LIVECorrectMissed
HARDEREASIERMODULE 2
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