Newtons Laws Question: Finding acceleration and direction of movement

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SUMMARY

The discussion focuses on calculating the acceleration and direction of movement for a 5.0 kg object subjected to forces with components Fx = 20N and Fy = 30N. Participants emphasize the application of Newton's second law, stating that acceleration can be derived from the force components divided by mass. The correct approach involves calculating the acceleration in both x and y directions separately and then using the Pythagorean theorem to find the resultant acceleration and direction using trigonometric functions, specifically SOH-CAH-TOA.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Familiarity with vector components of forces
  • Basic knowledge of trigonometric functions (SOH-CAH-TOA)
  • Ability to apply the Pythagorean theorem
NEXT STEPS
  • Calculate acceleration using Newton's second law for the given force components
  • Explore vector addition and decomposition of forces
  • Practice drawing free body diagrams for various force scenarios
  • Learn how to apply trigonometric functions to find angles in physics problems
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding the application of Newton's laws in real-world scenarios.

acorn1290
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1. The only force on a 5.0 kg object has components Fx= 20N and Fy= 30N



2. Find the acceleration of the object and its direction of movement.



3. I think I'm supposed to somehow use Soh Cah Toa inorder to find something (I don't know what this would help me find). I need to use Sin(theta)= Fx/m. But that would give me the angle measure and not the acceleration.
 
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Alright, since forces are vector quantities and the forces are acting in perpendicular directions, you can calculate the x and y components of the acceleration. After that it's merely an application of the pythagorean theorem.

For the direction, draw a free body diagram labeling the forces acting on the object and go from there. Hint: you'll need to use SOH-CAH-TOA to find the direction.
 
acorn1290 said:
1. The only force on a 5.0 kg object has components Fx= 20N and Fy= 30N



2. Find the acceleration of the object and its direction of movement.



3. I think I'm supposed to somehow use Soh Cah Toa inorder to find something (I don't know what this would help me find). I need to use Sin(theta)= Fx/m. But that would give me the angle measure and not the acceleration.
acorn1290, welcome to PF! Sin theta = Fx/m is not a correct equation, I'm not sure how you arrived at it. Are you familiar with Newton's second law? Try applying it in the x direction, and again, independently, in the y direction, and respond with your results.
 

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