Lola's car is stuck in the mud. Julie and Jamaal come along in a truck to help pull her out. They attach one end of a tow strap to the front of the car and the other end to the truck's trailer hitch, and the truck starts to pull. Meanwhile, Julie and Jamaal get behind the car and push. The truck generates a horizontal force of 387 lb on the car. Julie and Jamaal are pushing at a slight upward angle and generate a force of 122 lb on the car. These forces can be represented by vectors, as shown in the figure below. The angle between these vectors is 21.4°. Find the resultant force (the vector sum), then give its magnitude and its direction angle from the positive x-axis. 122 lb 21.4° 387 lb Q a. The resultant force is (Tip: omit degree notations from your answers; e.g. enter cos(45) instead of cos(45°)) b. It's magnitude is lb. c. It's angle from the positive x-axis is
Lola's car is stuck in the mud. Julie and Jamaal come along in a truck to help pull her out. They attach one end of a tow strap to the front of the car and the other end to the truck's trailer hitch, and the truck starts to pull. Meanwhile, Julie and Jamaal get behind the car and push. The truck generates a horizontal force of 387 lb on the car. Julie and Jamaal are pushing at a slight upward angle and generate a force of 122 lb on the car. These forces can be represented by vectors, as shown in the figure below. The angle between these vectors is 21.4°. Find the resultant force (the vector sum), then give its magnitude and its direction angle from the positive x-axis. 122 lb 21.4° 387 lb Q a. The resultant force is (Tip: omit degree notations from your answers; e.g. enter cos(45) instead of cos(45°)) b. It's magnitude is lb. c. It's angle from the positive x-axis is
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122 lb
2.1 Vectors in the Plane - Calculu X
Lola's car is stuck in the mud. Julie and Jamaal come along in a truck to help pull her out. They attach one
end of a tow strap to the front of the car and the other end to the truck's trailer hitch, and the truck starts
to pull. Meanwhile, Julie and Jamaal get behind the car and push. The truck generates a horizontal force of
387 lb on the car. Julie and Jamaal are pushing at a slight upward angle and generate a force of 122 lb on
the car. These forces can be represented by vectors, as shown in the figure below. The angle between
these vectors is 21.4°. Find the resultant force (the vector sum), then give its magnitude and its direction
angle from the positive x-axis.
21.4°
387 lb
a. The resultant force is
(Tip: omit degree notations from your answers; e.g. enter cos(45) instead of cos(45°))
b. It's magnitude is
c. It's angle from the positive x-axis is
+
lb.
Q Search
Hint: For a detailed solution, see the example (Finding Resultant Force) in Section 2.1 (Vectors in the
Plane).
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