Inertia and Force
A 50 kg box is placed on a frictionless surface. What force would you apply to the box to move it at a constant acceleration of 2 m/s^2, assuming you have an infinite supply of time and energy? Ignore any safety concerns or practical limitations.
1 Answer
📌 CONCEPT: Inertia is the tendency of an object to resist changes in its state of motion, and a force is required to overcome this resistance to produce acceleration.
📐 RULE / FORMULA: According to Newton's First Law of Motion, the force (F) required to accelerate an object is given by F = ma, where 'm' is the mass of the object and 'a' is the acceleration.
💡 WORKED EXAMPLE: To move the 50 kg box at a constant acceleration of 2 m/s^2, we can use the formula F = ma. Here, m = 50 kg and a = 2 m/s^2. Substituting these values, we get F = 50 kg * 2 m/s^2 = 100 N. Therefore, a force of 100 N is required to move the box at the specified acceleration.
⚠️ COMMON MISTAKE: Students often forget to consider the mass of the object when applying the formula F = ma, leading to incorrect calculations.
26 Oct 26
🔗 More from Chapter 4: Laws of Motion
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