Figure 4.2 Two crates connected by a string passed through a pulley.
-Two weights, one with mass 2 kg and the other with mass 4 kg, are attached to the ends of a massless string that hangs over an ideal pulley. The system is allowed to move freely. What is the value of acceleration of the system?

Question

Figure 4.2 Figure 4.2 Two crates connected by a string passed through a pulley. -Two weights, one with mass 2 kg and the other with mass 4 kg, are attached to the ends of a massless string that hangs over an ideal pulley. The system is allowed to move freely. What is the value of acceleration of the system? A) 3.3 m/s2 B) 9.8 m/s2 C) 19.6 m/s2 D) 29.0 m/s2

Figure 4.2 Two crates connected by a string passed through a pulley. -Two weights, one with mass 2 kg and the other with mass 4 kg, are attached to the ends of a massless string that hangs over an ideal pulley. The system is allowed to move freely. What is the value of acceleration of the system? A) 3.3 m/s<sup>2</sup> B) 9.8 m/s<sup>2</sup> C) 19.6 m/s<sup>2</sup> D) 29.0 m/s<sup>2</sup>

Two crates connected by a string passed through a pulley.
-Two weights, one with mass 2 kg and the other with mass 4 kg, are attached to the ends of a massless string that hangs over an ideal pulley. The system is allowed to move freely. What is the value of acceleration of the system?

Quizplus · Accepted Answer

The acceleration of the system can be calculated using the formula $a = \frac{g(m_2 - m_1)}{m_1 + m_2}$, where $m_1$ and $m_2$ are the masses and $g$ is the acceleration due to gravity (9.8 m/s$^2$). Substituting $m_1 = 2$ kg, $m_2 = 4$ kg, and $g = 9.8$ m/s$^2$, we get $a = \frac{9.8(4 - 2)}{2 + 4} = 3.3$ m/s$^2$.

Figure 42 Two Crates Connected by a String Passed Through