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. Three ropes are attached to a sled and given to three dogs. Bark Wahlberg pulls his rope at N 33 E with a force equivalent to 4 newtons. Billie Howliday pulls her rope at N 84 E with a force equivalent to 5 newtons. Jabba the Mutt pulls his rope at S 70 E with a force equivalent to 4.5 newtons. What is the final net force acting on the sled (direction and magnitude)? Treat Newtons as you would speed.

 Jan 23, 2024
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N33E  =  57°

N84E =   6°

S70E  = 340°

 

4cos 57°  + 5cos 6° + 4.5cos 340°  ≈  11.38

4sin 57° + 5sin 6° + 4.5sin 340°  ≈ 2.34

 

Direction  =   arctan ( 2.34 / 11.38) ≈ 11.6°  =  N 78.4 E

 

Magnitude  = sqrt [ 11.38^2 + 2.34^2 ]  ≈  11.61  N

 

 

cool cool cool 

 Jan 23, 2024

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