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In Mathematics / High School | 2014-05-11

A water skier is pulled behind a boat by a rope. The rope has a tension of 290 N and is at an angle of 33 degrees. What is the x component of the tension?

A. 192 N
B. 215 N
C. 243 N
D. 158 N

Asked by bsktbll23jordan

Answer (3)

Answer this question by trigonometry. Draw the rope at an angle of 33 degrees from the x axis.
You will find: cosx = a/h cos33 = a/290 a. = 243.21

Answered by Anonymous | 2024-06-10

The tension on the rope can be broken down into x and y **components * using sine and cosine functions. The x component of the tension can be found using the formula T_x = T cos(θ), where T is the tension and θ is the angle. By substituting the given values, it is determined that the x-component of the tension is approximately 243 N. ;

Answered by AngelaLansbury | 2024-06-18

The x-component of the tension in the rope is calculated to be approximately 243 N, using the formula for components of a force vector. The correct choice from the given options is C. 243 N.
;

Answered by AngelaLansbury | 2024-10-02