1. A 1 m tall 3-year old firl and her isometrically scaled up 2 m tall father ar
ID: 78443 • Letter: 1
Question
1. A 1 m tall 3-year old firl and her isometrically scaled up 2 m tall father are running barefoot down a gravel beach. The daughter is running along cheerfully, but her father's feet are in pain. Which of the following likely contribute to their different experience?
a.) the force on his feet is greater than the force on her feet, but the stress is the same
b.) the stress on his feet is greater than the stress on her feet
c.) her surface area/mass ratio is smaller than his
d.) two of the above are true
Please explain your choice
2. If we scale up an ant isometrically to the size of a human, which of the following is FALSE?
a.) The ability of its muscles to generate force will increase as a function of the square of our linear scaling factor
b.) Its muscle mass will increase as a function of the cube of our linear scaling factor
c.) It will be able to lift heavier objects than its tiny ant buddies
d.) Mass specific muscle strength will be higher for our giant ant than for her tiny any buddies
Please explain why your selection is correct
Thank you!
Explanation / Answer
1) I think both options A and B are considered because,the force on the feet of kids is very less compared to the force of adults.So kids wont feel any pain though they walk,run on gravel surface are and stress is also one of the criteria because strees of the feet depends upon the weight of the body.In adults the weight is more so the stress is also more on thier feet. But coming to the childern,their weight is low and strees on feet will be low.This is the reason they can run cheerfully on gravel surface area than adults.
2) All the given options are correct except option B because ant has a cpacity to increase its strength but it doesnt have capacity to increase the mass of muscles.So option B is false.
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