Using the pulley system below, if m1=4.7 kg and m2 = 6.6 kg, what is the acceleration of m2 in m/s/s? Use up as the positive direction for m2. Hint: Draw force diagrams. Hint: Derive two equations with two unknowns.

The acceleration of m₂ is 1.6 m/s².

Explanation:

Given that,

First mass = 4.7 kg

Second mass = 6.6 kg

Here, no friction

So,

We need to calculate the acceleration

Using balance equation

For first mass,

...(I)

For second mass,

...(II)

From equation (I) and second

Put the value into the formula

Hence, The acceleration of m₂ is 1.6 m/s².

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