Help With Vector Problems: Find Horizontal Velocity & Forces

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SUMMARY

This discussion addresses two vector problems involving horizontal velocity and forces. In the first problem, an arrow's horizontal velocity remains constant at 35 m/s while its vertical velocity changes, indicating uniform vertical acceleration. The second problem involves a swing where the tension in the chain is 110 N at a 25-degree angle, requiring the calculation of horizontal and vertical force components using trigonometric functions. Participants emphasize the importance of free body diagrams and trigonometric principles in solving these problems.

PREREQUISITES
  • Understanding of vector components in physics
  • Proficiency in trigonometry, specifically sine and cosine functions
  • Knowledge of free body diagrams for force analysis
  • Familiarity with Newton's laws of motion
NEXT STEPS
  • Study the principles of vector decomposition in physics
  • Learn how to apply trigonometric functions to resolve forces
  • Explore uniform acceleration equations in projectile motion
  • Practice drawing and analyzing free body diagrams for various scenarios
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Students studying physics, particularly those focusing on mechanics and vector analysis, as well as educators seeking to enhance their teaching methods in these topics.

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Homework Statement


Could anyone help me with these vector problems?

1. At the top of its flight, an arrow has a horizontal velocity of 35ms-1. Two seconds later its velocity is 40ms-1 at an angle of 29 degrees below the horizontal. After a further 2 seconds, it is moving at 53ms-1 at 49 degrees below the horizontal. What has happened to the horizontal velocity component during these 4 seconds? Use the vertical velcotiy components to find a value for the arrow's uniform vertical acceleraton. Comment on your value

2. A young child is enjoying a swing. When the swing stops, mum pulls it back wth a horizontal force through an angle of 25 degrees. In this position, the tension in the chain is 110N. Use the horizontal and vertical components of the tension in the chain to find the two other forces acting on the swing when it is at rest in this position

Homework Equations





The Attempt at a Solution


1. well for at the moment I've got 2 triangles? one with an angle of 29 and one with an angle of 49 with the adjacent at 35 I am just not sure what to do their to go onto the trigonometry

2. i have no clue on how to start this question
 
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1. You'll need to use some trig (sin and cos) to get the horizontal and vertical components of each velocity.

2. Draw a free body diagram for the swing, showing all forces acting on it. They tell you what the tension force (both magnitude and direction) is.

p.s. welcome to Physics Forums!
 

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