Question

Two 0.60-kilogram objects are connected by a thread that passes over a light, frictionless pulley. The objects are initially held at rest. If a third object with a mass of 0.30 kilogram is added on top of one of the 0.60-kilogram objects and the objects are released, the magnitude of the acceleration of the 0.30-kilogram object is most nearly:______

Answer 1

Answer:

2 m/s²

Explanation:

From the given information:

The first mass m_1 = 0.6 kg

The second mass m_2 = 0.3 kg

The magnitude for the acceleration of 0.3 kg is:

a = net force/ effective mass

Mathematically, it can be computed as follows:

$a = \dfrac{F}{m}$

$a = \dfrac{(m_2 +m_1 -m_1) }{(m_2+m_1+m_1)}(g)$

$a = \dfrac{0.3 +0.6 -0.6}{(0.3 +0.6+0.6)}(9.8)$

a ≅ 2 m/s²