AP Physics C: Karate Expert's Board Chop Calculation

  • Thread starter CoreanJesus
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So the equation only uses the 2.8 cm.In summary, a karate expert breaks a 2.2 cm thick pine board with a hand chop. Strobe photography shows that his hand, with a mass of 580 g, strikes the top of the board at a speed of 9.5 m/s and comes to rest 2.8 cm below this level. The time duration of the chop can be calculated using the velocity-position-acceleration equation and the average force applied can be calculated using F=ma. In part (a), the time duration is calculated using only the 2.8 cm displacement as it is relative to the top of the board.
  • #1
CoreanJesus
1. The problem statement, all variables and given/known
A karate expert breaks a pine board, 2.2 cm thick, with a hand chop. Strobe
photography shows that his hand, whose mass may be taken as 580 g, strikes the
top of the board with a speed of 9.5 m/s and comes to rest 2.8 cm below this level.
(a) Calculate the time duration of the chop (assuming a constant force). (b)
Calculate the average force applied.


Homework Equations


Velocity position accel. equation and F=ma

The Attempt at a Solution


So I know the answer and I've solved it. But I don't understand for part a why you would use just .028m instead of .022+.028 for the delta y in your velocity accel. Poston function.[/B]
 
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  • #2
The problem literally states that the 2.8 cm are relative to the top of the board.
 

1. How does the AP Physics C: Karate Expert's Board Chop Calculation work?

The AP Physics C: Karate Expert's Board Chop Calculation is a mathematical equation that takes into account the velocity, mass, and strength of the karate expert's strike, as well as the density and thickness of the board, to determine the force needed to break the board.

2. What factors are considered in the calculation?

The calculation takes into account the velocity of the strike, which is determined by the speed and acceleration of the karate expert's hand, as well as the mass of their hand. It also considers the density and thickness of the board, as well as the strength of the karate expert's strike.

3. How accurate is the AP Physics C: Karate Expert's Board Chop Calculation?

The accuracy of the calculation depends on the accuracy of the input values. If the velocity, mass, and strength of the strike are accurately measured and the density and thickness of the board are known, the calculation can provide a fairly accurate estimate of the force needed to break the board.

4. What is the purpose of the AP Physics C: Karate Expert's Board Chop Calculation?

The purpose of the calculation is to help karate experts understand the physics behind breaking a board and to ensure that they use the proper technique and amount of force to successfully break the board without injuring themselves.

5. Can the AP Physics C: Karate Expert's Board Chop Calculation be used for other materials besides boards?

The calculation is specifically designed for breaking boards, but it can potentially be adapted for other materials as long as the appropriate density and thickness values are used. However, the accuracy of the calculation may vary when applied to different materials.

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