To solve for the magnitude of acceleration, let's analyze the given data:

• Mass of the box: $m_1 = 70$ kg
• Mass of the larger object: $m_2 = 10,000$ kg
• Acceleration: $a = 3.6 \, \text{m/s}^2$
• Forces applied: Not directly given, so we assume we are solving for acceleration using Newton's Second Law.

Step 1: Apply Newton’s Second Law

Newton’s Second Law states:

$F_{\text{net}} = m a$

where:

• $F_{\text{net}}$ is the net force applied,
• $m$ is the total mass,
• $a$ is the acceleration.

Step 2: Find the Total Mass

Since both masses are involved in motion, the total mass of the system is:

$m_{\text{total}} = m_1 + m_2 = 70 + 10,000 = 10,070 \text{ kg}$

Step 3: Find the Net Force

Using Newton's Second Law:

$F_{\text{net}} = (10,070) (3.6)$

$F_{\text{net}} = 36,252 \text{ N}$

Thus, the magnitude of acceleration remains $\mathbf{3.6 \, m/s^2}$, as given in the problem, since it is already stated.

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Final Answer:

$\mathbf{3.6 \, m/s^2}$

Would you like a breakdown of force distribution or any other details?

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Here are five related questions for practice:

1. How do you calculate the force needed to accelerate a 50 kg object at 2 m/s²?
2. What is the force of gravity on an object with a mass of 20 kg on Earth?
3. If a force of 200 N is applied to a 50 kg object, what is its acceleration?
4. What happens to the acceleration if the mass of an object doubles while keeping the force constant?
5. How does Newton’s Universal Law of Gravitation compare to Newton’s Second Law of Motion?

Tip: Always double-check whether forces are acting in different directions and use vector notation when necessary! 🚀