Question

Kristina's car is stuck in the mud. Nicole and Lucas 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, Nicole and Lucas get behind the car and push. The truck generates a horizontal force of 312 lb on the car. Nicole and Lucas are pushing at a slight upward angle and generate a force of 147 lb on the car. These forces can be represented by vectors, as shown in the figure below. The angle between these vectors is 20.6°. Find the resultant force (the vector sum), then give its magnitude and its direction angle from the positive x-axis. 147 lb 20.6° 312 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 lb. c. It's angle from the positive x-axis is °.

          Kristina's car is stuck in the mud. Nicole and Lucas 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, Nicole and Lucas get behind the car and push. The truck generates a horizontal force of 312 lb on the car. Nicole and Lucas are pushing at a slight upward angle and generate a force of 147 lb on the car. These forces can be represented by vectors, as shown in the figure below. The angle between these vectors is 20.6°. Find the resultant force (the vector sum), then give its magnitude and its direction angle from the positive x-axis.

147 lb
20.6°
312 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
lb.
c. It's angle from the positive x-axis is
°.

Kristina's car is stuck in the mud. Nicole and Lucas 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, Nicole and Lucas get behind the car and push. The truck generates a horizontal force of 312 lb on the car. Nicole and Lucas are pushing at a slight upward angle and generate a force of 147 lb on the car. These forces can be represented by vectors, as shown in the figure below. The angle between these vectors is 20.6°. Find the resultant force (the vector sum), then give its magnitude and its direction angle from the positive x-axis.

147 lb
20.6°
312 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
lb.
c. It's angle from the positive x-axis is
°.

Added by Anita H.

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