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Aster's final position from her initial position is 63 m approximately. She will head north west direction to return to her initial position
<h3>What is Displacement ?</h3>Displacement is the distance travelled in a specific direction. It is a vector quantity.
Given that a person walks first 70 m in the direction 37° north of east, and then walks 82 m in the direction 20° south of east, and finally walks 28 m in the direction 30° west of north.
a) Let P be the Aster's final position from her initial position?
We can use bearing by using Cosine formula to solve this question.
P² = 70² + 82² - 2 × 70 × 82 cos 73
P² = 4900 + 6724 - 11480 cos 73
P² = 11624 - 3356.43
P² = 8267.57
P = √8267.57
P = 90.9 m
P = 90.9 - 28
P = 62.9 m
We can get the angle by using Sine rule
82/ sin Ф = 90.9 / sin 73
sin Ф = 0.8627
Ф = (0.8627)
Ф = 59.6°
Ф = 60°
b) She will head north west direction to return to her initial position
Learn more about Displacement here: brainly.com/question/2109763
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Explanation:
It is given that,
When the front wheels are over the scale, the weight recorded by the scale is 5800 N, F₁ = 5800 N
When the rear wheels are over the scale, the scale reads 6500 N, F₂ = 6500
The distance between the front and rear wheels is measured to be 3.20 m, x₂ = 3.2 m
We need to find the location of center of mass behind the front wheels. Let the center of is located at a distance of x₁. Thus balancing the torques we get :
On solving the above equation we get, x₂ = 1.69 m
So, the center of mass is located at a distance of 1.69 meters behind the front wheels.