What Are the Steps to Solve These 3 Algebra-Based Physics Problems?

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SUMMARY

This discussion focuses on solving three algebra-based physics problems involving projectile motion, Newton's Second Law, and static friction. The first problem requires understanding kinematics to determine the speed of a projectile launched at an angle relative to a fighter plane's motion. The second problem applies Newton's Second Law to find the force acting on a rocket after it exits a launching tube. The third problem involves calculating the maximum horizontal pull on a block considering static friction. Participants provided hints and guidance on the appropriate formulas and reasoning for each problem.

PREREQUISITES
  • Understanding of kinematics in projectile motion
  • Familiarity with Newton's Second Law (F = ma)
  • Knowledge of static friction and its coefficient
  • Ability to resolve forces in two dimensions
NEXT STEPS
  • Study kinematic equations for projectile motion
  • Learn how to apply Newton's Second Law in various contexts
  • Research static friction and its role in equilibrium problems
  • Practice resolving forces in two dimensions using free-body diagrams
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Students studying physics, educators teaching algebra-based physics, and anyone looking to improve their problem-solving skills in mechanics.

SJC25
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HELP! I have 3 algebra based physics problems I need help starting. I don't want answers, just help picking formulas to use and such.

1) a fighter plane has an air speed of 200 m/s. A projectile is launched at 50 m/s in a forward direction, with a 30 degree angle relative to the plane's motion. What is the speed of the projectile with respect to a stationar observer on the ground?

2) An anti-tank weapon fires a 3kg rocket which acquires a speed of 50m/s after traveling 90cm down a launching tube. What force is acted on it?

3) A 10 kg block rests on a table. The coefficient of static friction os 0.50. If someone pushes down on the block with a force of 48N what is the maximum horizontal pull that will NOT move the block?


Any help would be greatly appreciated! Thanks.
 
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Hello

You haven't mentioned your specific difficulties with these problems. Please post your reasoning/approach before you ask for help here. Anyway, I assume that you just cannot start thinking about these problems so I'll give you some hints:

For Question1: you seem to be unfamiliar with the kinematics of projectile motion. Perhaps a diagram illustrating the initial direction of motion of the projectile. Do you know what the absolute initial velocity of the projectile is? Can you resolve it in two mutually perpendicular directions?

For Question 2: Do you know the mathematical formulation of Newton's Second Law, "The rate of change of linear momentum of a body equals the force acting on it"? Can you use it somewhere in your reasoning? What is given and what is to be found?

For Question 3: Can you write the equation of "motion" (read further) for this block? If you can do so using F = ma you should be able to adapt it for the specific case in question, that is, of equilibrium of the block under the forces acting on it. Which direction does the friction act? Will it aid motion or oppose it in this case? Can you resolve the forces in two mutually perpendicular directions?

Hope that helps...

Cheers
Vivek
 
Okay, I got #1, and #3. #2 is still dancing it's evil little dance on my grave. Am I doing this right?
v^2=v(naught)^2+2a(x-x(naught))
(50m/s)^2=0+2a(90cm-0)
2500=2a(.9m)
a= 1389m/s^2

F=ma
F=(3kg)(1388m/s^2)
F= 4167Newtons
 
Didn't check the actual calculations but your approach is right.
 
thank you!
 

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