1. Understand the forces involved:
* Weight of the mug: The mug has a mass of 200g (0.2 kg), so its weight (force due to gravity) is:
* Weight (W) = mass (m) * acceleration due to gravity (g) = 0.2 kg * 9.8 m/s² = 1.96 N
* Friction force: The tablecloth exerts a friction force of 0.10 N on the mug.
* Net force: The net force acting on the mug is the difference between the weight and the friction force. Since friction opposes the motion, we subtract it from the weight:
* Net force (F_net) = Weight (W) - Friction force (f) = 1.96 N - 0.10 N = 1.86 N
2. Calculate the acceleration:
* Newton's Second Law: Newton's Second Law of Motion states that the net force acting on an object is equal to its mass times its acceleration:
* F_net = m * a
* Solving for acceleration: We can rearrange the equation to find the acceleration:
* a = F_net / m = 1.86 N / 0.2 kg = 9.3 m/s²
3. Analyzing the situation:
* The mug will accelerate upward due to the net force. The acceleration of 9.3 m/s² is actually greater than the acceleration due to gravity (9.8 m/s²)! This means the mug will not fall immediately, and the tablecloth will pull it upward.
Important Note: This assumes the tablecloth is pulled fast enough to overcome the initial force of gravity on the mug. In reality, the tablecloth would likely need to be pulled extremely quickly to achieve this effect.
Let me know if you'd like to explore other aspects of this scenario, like:
* How fast does the tablecloth need to be pulled to achieve this acceleration?
* How long will it take the mug to leave the table?
* What if the tablecloth is pulled at a constant speed instead of an acceleration?
