Physics
posted by Ashley .
A large kite of mass 3 kg is flying through the air on a windy day. Currently, the tension from the string on the kite has a magnitude of 7.7 N at an angle of θ = 33.5 degrees. The current acceleration of the kite has a magnitude of a = 7.56 m/s2 at an angle of φ = 38.5 degrees. The only forces felt by the kite are its own weight, the tension from the string, and a force from the wind. Find the X and Y component of the force of the wind.
Find the X component and Y component of the force of the wind on the kite

Physics 
Elena
There are three forces acting on the kite:
1. gravity
m•g(x) = 0
m•g(y) = m•g=3•9.8 =29.4 N.
2. tension
T(x) = T•sinθ=7.7•sin33.5° = 4.25 N,
T(y) = T•cosθ=7.7•cos 33.5° =6.42 N.
3. wind force
m•a(x) =  m•a•cosφ =  3•7.56•cos38.5°=  17.75 N
m•a(y) = m•a•sinφ =3•7.56•sin38.5°= 14.12N
Total force F:
F(x) = m•g(x)+ T(x)+ m•a(x) =0+4.2517.75 =  13.5 N,
F(y) = m•g(y)+ T(y)+ m•a(y) =29.4+6.42+14.12 = 49.94 N.
Respond to this Question
Similar Questions

trig
A kite is flying overhead at an angle of elevation is 28. If the kite string is 10m long, what is the horizontal that the kite is flying away from you? 
trig
Richard is flying a kite. The kite string makes an angle of 57 degrees with the ground. If Richard is standing 100 feet from the point on the ground directly below the kite , find the length of the kite string 
pre calc
a kite currently flying at an altitude of 16 meters above the ground. If the angle of elevation from the ground to the kite is 30 degrees, find the length of the kite string to the nearest meter. 
geometry
Kendra is flying a kite 35 feet in the air. The angle of depression from the kite to where Kendra holds the string is 32 degrees. If Kendra holds the string 3 feet off the ground, what is the distance from her hands to the kite? 
Algebra 2/ Trig
Igor is flying a kite. he has let out 300 feet of kite string. the string makes an angle of 64 degrees with the level ground. To the nearest foot, how high is his kite? 
math
Richard is flying a kite at an angle elevation of 52 degrees. he is 5 ft tall. If richard is standing 100 ft from the point on the ground directly below the kite, compute the length of the kite string. 
precal
A kite flier wondered how high her kite was flying. She used a protractor to measure an angle of 36 degrees from level ground to the kite string. If she used a full 140yard spool of string, how high, in feet, was the kite? 
Math Trig
A kite flier wondered how high her kite was flying. She used a protractor to measure an angle of 40 degrees from level ground to the kite string. If she used a full 120yard spool of string, how high, in feet, was the kite? 
Trigonemtry
A kite has a string of length 60 metres. On a windy day all the string is let out and makes an angle of between 20 and 36 with the ground. Find the minimum and maximum heights of the kite 
math
Brian's kite is flying at the end of 82 of string. His end of string, is 3 feet off the ground. the angle of elevation of the kite is 55 degrees. What is the height of the kite?