Projectile Motion problems (don't want answers to problems)

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SUMMARY

This discussion focuses on solving projectile motion problems, specifically involving a gun with a muzzle speed of 70 m/s aimed at a target 160 meters away, and a body in circular motion with a mass of 9 kg and a radius of 2 meters. Key concepts include calculating angles of elevation for projectile trajectories and determining centripetal force using the formula F = (mv^2)/r. The user expresses confusion about the general formulas applicable to these problems and seeks clarity on the methods to derive the necessary answers.

PREREQUISITES
  • Understanding of projectile motion equations, including range and angle calculations.
  • Knowledge of centripetal force calculations, specifically F = (mv^2)/r.
  • Familiarity with basic trigonometry, particularly in relation to angles and radians.
  • Concept of gravitational acceleration, specifically g = 9.8 m/s².
NEXT STEPS
  • Study the derivation of projectile motion equations, focusing on range and angle of elevation.
  • Learn how to apply the centripetal force formula in various circular motion scenarios.
  • Explore the use of trigonometric identities to solve angle-related problems in physics.
  • Practice solving real-world projectile motion problems using simulation tools or physics software.
USEFUL FOR

Students in physics courses, educators teaching projectile motion concepts, and anyone seeking to improve their problem-solving skills in mechanics and kinematics.

cortb
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Homework Statement


1.A gun has a muzzle speed of 70 meters per second. Find two angles of elevation that can be used to hit an object 160 meters away.
Neglect air resistance and use g = 9.8 m / sec^{2} as the acceleration of gravity.


2.A body of mass 9 kg moves in a (counterclockwise) circular path of radius 2 meters, making one revolution every 11 seconds. You may assume the circle is in the xy-plane, and so you may ignore the third component.
A. Compute the centripetal force acting on the body.
( , )
B. Compute the magnitude of that force.


3.A ball is thrown at an angle of 45 degrees to the ground, and lands 25 meters away.
The initial speed of the ball was ... m/s

Homework Equations





The Attempt at a Solution



I am completely lost and i don't even want the actual answers, i just need to understand how i would find the answers to problems like this. is there a general formula for these types of problems?
 
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and for the smaller angle i tried and got .16303 radians (which was wrong)... but i can't remember how i got it.
 

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