- #1
Master Newton's Laws with These Challenging Practice Problems
- Thread starter the whizz
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- Laws Newtons Newtons laws
AI Thread Summary
The discussion revolves around solving challenging practice problems related to Newton's laws of motion. The user is struggling to start the problems and seeks guidance on applying Newton's second law effectively. Suggestions include analyzing the penguin-and-sled system together to find acceleration and using force equations for each body involved. The user expresses urgency as the problems are due soon and is considering sharing their work for further assistance. Overall, the thread emphasizes collaborative problem-solving in physics.
- #2
tiny-tim
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Welcome to PF!
Hi the whizz ! Welcome to PF!
Let's just do 1 and 2 first:
1. Use good ol' Newton's second law for penguin-and-sled together to find the acceleration.
Then use Newton's second law for the penguin only.
2. The acceleration will be the same for all bodies (because the strings are always the same length).
So call the acceleration a, and start at the left-hand end by using Newton's second law on m1 to find T1.
the whizz said:
Hi the whizz ! Welcome to PF!
Let's just do 1 and 2 first:
1. Use good ol' Newton's second law for penguin-and-sled together to find the acceleration.
Then use Newton's second law for the penguin only.
2. The acceleration will be the same for all bodies (because the strings are always the same length).
So call the acceleration a, and start at the left-hand end by using Newton's second law on m1 to find T1.
- #3
the whizz
- 32
- 0
ok so basically what I am taught to do is...
take the diagram and write equations for the sum of all the forces in different directions.
add all equations to each other and solve for the unknown.
So in the first problem i want to figure out the equation of motion for the penguin and the slide as one first?
Then find the maximum static friction for the penguin.
The forces on both would be kinetic Friction would be equal to the M1A...
Once i get my scanner working i can post the work and hopefully can make some sense of it.
take the diagram and write equations for the sum of all the forces in different directions.
add all equations to each other and solve for the unknown.
So in the first problem i want to figure out the equation of motion for the penguin and the slide as one first?
Then find the maximum static friction for the penguin.
The forces on both would be kinetic Friction would be equal to the M1A...
Once i get my scanner working i can post the work and hopefully can make some sense of it.
- #4
the whizz
- 32
- 0
these are due tomorrow and I'm losing it...
anyone have aim or anything that can help me through this?
anyone have aim or anything that can help me through this?
Neglect gravity other than that of water; neglect friction.
F1=ρgsh=1000*10*1*(1+4)=50000 N;
F1=ρgsh=1000*10*0.1*4=4000 N;
F3=50000-4000=46000 N?
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 told forces are vectors so they can be divided into x and y components, but what about the normal force or the force of static friction? do you divide those into x and y components if say you had a block that was lying on an angled surface?
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