What's the Total Force Exerted on the Skater?

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The discussion focuses on calculating the total force exerted on a 65.0-kg ice skater being pushed by two others, with forces F1 at 21N and F2 at 36N. The participant correctly identified the angles for both forces, using trigonometric functions to find their x and y components. However, it was noted that the axes should be labeled X and Z instead of X and Y, prompting a reevaluation of the calculations. The participant acknowledged this oversight and expressed gratitude for the clarification. The conversation emphasizes the importance of accurate angle assessment and component calculation in physics problems.
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Homework Statement


"Consider the 65.0-kg ice skater being pushed by two others as shown in the figure below."
Figure: https://gyazo.com/9d7525071f54b00ea7e720abdeb50594
upload_2018-10-8_18-17-2.png


Find the total force exerted on her by the others, given that F1 = 21N and F2 = 36N. Express your answer in vectorm form.

Homework Equations


I doubt "F=ma" is relevant for this question considering we're merely calculating the force directed towards the skater instead of her movement thereafter.

The Attempt at a Solution


I calculated the components of F1 and F2 with the following numbers:
I judged the angle of F1 to be (360 - 24 = 336).
F1: 21cos336 (x-component) + 21sin336 (y-component).
I judged the angle of F2 to be (90 - 24 = 66).
F2: 36cos66 (x-component) + 36sin66 (y-component).
I calculated the sum of these as 33.84i + 24.35j.
Judging by the picture, are my translations of the angles correct?
Any guidance is appreciated.

 

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Yes, your analysis of the angles is correct and thus your expressions for the components of ##F_1## and ##F_2## are correct. I haven't checked the numerical calculation but I always consider that to be a small part of the solution.
 
The axis appear to be labeled X , Z rather than X, Y.
 
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CWatters said:
The axis appear to be labeled X , Z rather than X, Y.
Well spotted. And notice the direction of +Z axis :wink:
 
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Aha! That was mildly clumsy of me. I apologize. I appreciate your keen eyes. With this new information, I will redo my calculations. Thank you for your contributions.
 
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