Solve 2 Physics Problems: Vectors, Hockey Puck Motion

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Homework Help Overview

The discussion revolves around two physics problems: one involving the decomposition of vectors in the xy plane and the other concerning the motion of a hockey puck in projectile motion. The first problem requires determining the x and y components of various vectors, while the second problem focuses on the puck's vertical and horizontal velocity components, time to reach a wall, and its initial speed and angle.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss how to set up the vector decomposition for the first problem, with some attempting to apply trigonometric functions to find the components. Questions arise regarding the differences in approach needed for velocity versus displacement vectors.

Discussion Status

Some participants have made attempts to solve the first problem and are sharing their thought processes. There is an ongoing exploration of the correct methods for finding vector components, with some guidance offered on making drawings to visualize the problem. However, there is no explicit consensus on the correct approach yet.

Contextual Notes

Participants are reminded of forum rules regarding assistance, emphasizing that complete solutions should not be provided and that attempts must be shown before receiving help.

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1.

Homework Statement

Determine the x and y components of the following three vectors in the xy plane.
(a) A 9-m displacement vector that makes an angle of 35° clockwise from the +y direction.
x: ____ m
y: ____ m

(b) A 25-m/s velocity vector that makes an angle of 45° counterclockwise from the -x direction.
x: ____ m/s
y: ____ m/s

(c) A 49-lb. force vector that makes an angle of 140° counterclockwise from the -y direction.
x: ____ lb
y: ____ lb





2.

You are watching your friend play hockey. In the course of the game, he strikes the puck in such a way that, when it is at its highest point, it just clears the surrounding 2.84 m high Plexiglas wall that is 10.8 m away. (Ignore any effects due to air resistance.)
(a) Find the vertical component of its initial velocity.
v0y = ____ m/s

(b) Find the time it takes to reach the wall.
Δt = ____ s

(c) Find the horizontal component of its initial velocity, and its initial speed and angle.
v0x = ____ m/s
v0 = ____ m/s
θ = ____ °



Homework Equations





The Attempt at a Solution

 
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On helping with questions: Any and all assistance given to homework assignments or textbook style exercises should be given only after the questioner has shown some effort in solving the problem. If no attempt is made then the questioner should be asked to provide one before any assistance is given. Under no circumstances should complete solutions be provided to a questioner, whether or not an attempt has been made.

Please follow them.
 
Ok, I need help with the first one. I'm trying to set it up but I don't get what it's asking for. Can you help explain?

Ok, I figured it out, I set it up on paper and got it.
 
I got the first one. I saw to get x you do sin(35) and then multiply by 9. And the same with y but cos instead of sin. I did the same thing for (b) in the first problem and it wasn't right. It's a velocity vector instead of a displacement vector. What difference does thi make for finding the solution?
 
Make a drawing. Are there any negative components?
 

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