Physics word problems regarding basic concepts

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A sharp knife cuts better than a dull knife because its finer edge has less surface area, allowing for greater pressure to be applied on the material being cut. This increased pressure helps to break molecular bonds more effectively than a dull knife, which disperses force over a larger area and may not generate sufficient pressure. The discussion also addresses various physics word problems, including the effects of heating on air density in a balloon, water pressure differences between a lake and a swimming pool, and the behavior of an air bubble rising in water. Participants suggest focusing on the fundamental principles behind each problem, such as the factors that influence pressure and the relationships between mass, volume, and density. Overall, the thread emphasizes the importance of understanding basic concepts to tackle physics word problems effectively.
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Homework Statement


Explain why a sharp knife cuts better than a dull knife


Homework Equations


None that i know of


The Attempt at a Solution


Not sure where to begin

1. The problem statement, all variable and given/known data
what happens to the density of air in a common rubber balloon when it is heated

2. Homework Equations
none that i know of

3. The Attempt at a Solution
not sure where to begin

1. The problem statement, all variable and given/known data
How does water pressure 1 meter beneath the suface of a lake compare with water pressure 1 meter below the surface of a swimming pool

2. Homework Equations
none that i know of

3. The Attempt at a Solution
not sure where to begin

1. The problem statement, all variable and given/known data
when an air bubble rises in water, what happens to its mass, volume, and density

2. Homework Equations
not sure

3. the attempt at a solution
not sure

I'm sorry but my professor has not been present for the past couple of weeks so I'm confused as to where to begin. This is my first semester taking physics ever and I'm having a difficult time understanding these word problems. any help would be great. thanks
 
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Pressure=force/area.

A sharp knife has a finer edge which can be read as having less surface area. The force of the cutting is dispersed among a smaller surface. Cutting with a dull knife might not generate enough pressure to tear the molecules apart.
 
Thanks I appreciate that. Can anyone help me with the other questions?
 
Since you didn't attempt anything yet, I'll only give you hints on where to begin.
2) What's the difference between the lake and a swimming pool? Is there a difference? What would make the pressures different? Is any difference? What kind of factors changes pressure?

3) Think about what happens if its mass changes. If it does change, why does it change? Where would it go? What affects a gas's volume? Surely if the air bubble were stationary (somehow just staying in the same place) its mass and volume would be the same. What changes does rising do, if any? What still stays the same? Density is related to mass and volume, so don't worry about density until you've figured out what happens to the mass and volume.
 
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
I was thinking using 2 purple mattress samples, and taping them together, I do want other ideas though, the main guidelines are; Must have a volume LESS than 1600 cubic centimeters, and CAN'T exceed 25 cm in ANY direction. Must be LESS than 1 kg. NO parachutes. NO glue or Tape can touch the egg. MUST be able to take egg out in less than 1 minute. Grade A large eggs will be used.
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