DOGE Math Problem for Junior High School Physics48

Objective: To understand the concept of force and its application in real-world scenarios using the Dogecoin cryptocurrency as an example.

Problem Statement:

A Dogecoin miner has set up a mining rig weighing 10 kg. The rig is placed on a table with a coefficient of friction of 0.2. The miner applies a force of 50 N to the rig in the horizontal direction. Calculate the acceleration of the mining rig and the distance it will travel in 5 seconds.

Solution:

Step 1: Calculate the force of friction

Force of friction = Coefficient of friction × Normal force

Normal force = Weight of the mining rig = 10 kg × 9.8 m/s² = 98 N

Force of friction = 0.2 × 98 N = 19.6 N

Step 2: Calculate the net force acting on the mining rig

Net force = Applied force - Force of friction

Net force = 50 N - 19.6 N = 30.4 N

Step 3: Calculate the acceleration of the mining rig

Acceleration = Net force / Mass

Acceleration = 30.4 N / 10 kg = 3.04 m/s²

Step 4: Calculate the distance traveled by the mining rig in 5 seconds

Distance = Initial velocity × Time + 0.5 × Acceleration × Time²

Initial velocity = 0

Time = 5 s

Distance = 0 + 0.5 × 3.04 m/s² × (5 s)² = 38 m

Conclusion:

The Dogecoin miner's mining rig will accelerate at 3.04 m/s² and travel 38 m in 5 seconds due to the applied force. This demonstrates how force can be applied to real-world objects, such as a mining rig, to affect their motion.

Reflection:

This problem illustrates the practical application of physics concepts to the field of cryptocurrency mining. By understanding the relationship between force, mass, and acceleration, miners can optimize their mining setups to maximize efficiency and profitability.

2025-02-04

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