Question on: JAMB Physics - 2005

In the figure above, the coefficient of static friction is 0.5. If the tension in the string is T, the acceleration of the system in motion is
A
5 ms-2
B
15 ms-2
C
3 ms-2
D
9 ms-2
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Correct Option: A

Normal reaction R = 3 kg x 10 = 30N

coefficient of friction , μ = 0.5

∴ acting frictional force = μR = 30 x 0.5

Pulling/sliding force F = 6kg x 10 = 60N.

∴ Net downward force = ma = 60 - 15.0

=> (3 + 6)a = 45

∴ 9a = 45

a = 5m/s2

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