How do balance, charge, rotation, and motion interact in everyday scenarios?

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Balance, charge conservation, and motion are interconnected concepts explored in various scenarios. Holding arms out while walking on a fence increases stability by widening the base of support. Charge conservation refers to the principle that electric charge cannot be created or destroyed, only transferred. A car rotates forward when falling due to its center of mass and angular momentum. The spontaneous acceleration of a book on a table is prevented by balanced forces, while sound propagation in space is flawed since sound requires a medium to travel. Understanding these principles is essential for grasping the dynamics of motion and forces in everyday life.
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1. If you walk along the top of a fence, why does holding your arms out help you to keep your balance?



2. Charge is also said to be conserved. What does it mean? Explain.



3. When a car drives off a cliff, why does it rotate forward as it falls?


4. Why does a book sitting on a table never accelerate "spontaneously" in response to the trillions of inter-atomic forces acting within it?


5.Captain Planet' is somewhere between galaxies. When a gong sounds in a neighboring spaceship, Captain reacts to the sound. What is wrong with this scenario?

6. If you know the position vectors of a particle at two points along its path and also know the time it took to move from one point to the other, can you determine the particle's instantaneous velocity? Its average velocity? Explain

7.Steel will rapture if subjected to a shear stress of more that about 4.2 * 108 N/m2. What sideward force is necessary to shear a steel bolt 1 cm in diameter?


8. A table-tennis ball is thrown at a stationary bowling ball. The table-tennis ball makes a one-dimensional elastic collision and bounces back along the same line. After the collision, compared to the bowling ball, the table-tennis ball has (a) a larger magnitude of momentum and more kinetic energy (b) a smaller magnitude of momentum and more kinetic energy (c) a larger magnitude of momentum and less kinetic energy (d) a smaller magnitude of momentum and less kinetic energy (e) the same magnitude of momentum and the same kinetic energy..
 
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ubaidvu said:
1. If you walk along the top of a fence, why does holding your arms out help you to keep your balance?



2. Charge is also said to be conserved. What does it mean? Explain.



3. When a car drives off a cliff, why does it rotate forward as it falls?


4. Why does a book sitting on a table never accelerate "spontaneously" in response to the trillions of inter-atomic forces acting within it?


5.Captain Planet' is somewhere between galaxies. When a gong sounds in a neighboring spaceship, Captain reacts to the sound. What is wrong with this scenario?

6. If you know the position vectors of a particle at two points along its path and also know the time it took to move from one point to the other, can you determine the particle's instantaneous velocity? Its average velocity? Explain

7.Steel will rapture if subjected to a shear stress of more that about 4.2 * 108 N/m2. What sideward force is necessary to shear a steel bolt 1 cm in diameter?


8. A table-tennis ball is thrown at a stationary bowling ball. The table-tennis ball makes a one-dimensional elastic collision and bounces back along the same line. After the collision, compared to the bowling ball, the table-tennis ball has (a) a larger magnitude of momentum and more kinetic energy (b) a smaller magnitude of momentum and more kinetic energy (c) a larger magnitude of momentum and less kinetic energy (d) a smaller magnitude of momentum and less kinetic energy (e) the same magnitude of momentum and the same kinetic energy..


This looks like a review for a final or part of a final. Do you have your attempts at the answers? OR do you want to take one question at a time and give your attempts?
 
And
1 . If Earth were to spin faster about its axis your weigh would be less.If you were in rotating space habitat that increases its spin rate.Explian why the spining rate has opposite effect?

2.A planet has two moon the radius of moon I is r and the radius of moon II is 2r.explain the gravitational magnitude effect on the radius?
3. Two peoples are carrying a uniform wooden board that is 3.00m long and weighs 160N.If one person applies an upward force equal to 60N at 1 end at what point does other point lift the board.
 
ubaidvu said:
1. If you walk along the top of a fence, why does holding your arms out help you to keep your balance?

So what do you think? Have you studied rotation?
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
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