Sahana's car is stuck in the mud. Hugo and Armando 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, Hugo and Armando get behind the car and push. The truck generates a horizontal force of 345 lb on the car. Hugo and Armando are pushing at a slight upward angle and generate a force of 131 lb on the car. These forces can be represented by vectors, as shown in the figure below. The angle between these vectors is 15.9°. Find the resultant force (the vector sum), then give its magnitude and its direction angle from the positive x- axis.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Sahana's car is stuck in the mud. Hugo and Armando
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, Hugo and Armando get
behind the car and push. The truck generates a
horizontal force of 345 lb on the car. Hugo and
Armando are pushing at a slight upward angle and
generate a force of 131 lb on the car. These forces can
be represented by vectors, as shown in the figure
below. The angle between these vectors is 15.9°. Find
the resultant force (the vector sum), then give its
magnitude and its direction angle from the positive x-
axis.
131 lb
15.9°
345 lb
a. The resultant force is (
a
(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
Transcribed Image Text:Sahana's car is stuck in the mud. Hugo and Armando 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, Hugo and Armando get behind the car and push. The truck generates a horizontal force of 345 lb on the car. Hugo and Armando are pushing at a slight upward angle and generate a force of 131 lb on the car. These forces can be represented by vectors, as shown in the figure below. The angle between these vectors is 15.9°. Find the resultant force (the vector sum), then give its magnitude and its direction angle from the positive x- axis. 131 lb 15.9° 345 lb a. The resultant force is ( a (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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