Asked by Bobby
Emily and Clare kick a soccer ball at the same time. Emily kicks it with a force of 120 N at an angle of 60 degrees and Clare kicks it with a force of 200 N at an angle of 120 degrees. The angles are measured from a line between the centres of the two goals.
Calculate the magnitude and direction of the resultant force.
Calculate the magnitude and direction of the resultant force.
Answers
Answered by
MathMate
The problem can be solved by resolving each applied force into its components. Sum the components individually to get the components of the resultant force.
Let
f1=120N, θ1=60°
f2=200N, θ2=120°
Fx=f1.cos(θ1)+f2.cos(θ2)
Fy=f1.sin(θ1)+f2.sin(θ2)
Magnitude of resultant force
= sqrt(Fx²+Fy²)
Angle of resultant force
= tan<sup>-1</sup>(Fy/Fx)
Let
f1=120N, θ1=60°
f2=200N, θ2=120°
Fx=f1.cos(θ1)+f2.cos(θ2)
Fy=f1.sin(θ1)+f2.sin(θ2)
Magnitude of resultant force
= sqrt(Fx²+Fy²)
Angle of resultant force
= tan<sup>-1</sup>(Fy/Fx)
Answered by
Anonymous
280N
Answered by
Tristan
280N
98.2°
98.2°
Answered by
Anonymous
but show the answers and how u got them u idiots
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