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djverab [1.8K]
3 years ago
11

Damian is texting while driving and ends up slamming into the back end of the car in front of him, which then strikes the car in

front of it. By texting while driving, Damian has created a
Physics
1 answer:
Sphinxa [80]3 years ago
3 0

The answer for this question is negative externality

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Can someone please provide a step by step explanation to the question in the image? It is really important for me to understand
Sergio039 [100]

Answer:

21.21 N @ 81.87°

Explanation:

Divide each force into horizontal components and vertical components.

F₁ is in the +x direction, so F₁ₓ = 12 N and F₁ᵧ = 0 N.

F₂ is in the +y direction, so F₂ₓ = 0 N and F₂ᵧ = 9 N.

F₃ is 53.13° above the -x axis.  So the components are:

F₃ₓ = -15 cos (53.13°) = -9 N

F₃ᵧ = 15 sin (53.13°) = 12 N

The horizontal component of the resultant force is the sum of the horizontal components of the individual forces:

Fₓ = F₁ₓ + F₂ₓ + F₃ₓ

Fₓ = 12 N + 0 N + (-9 N)

Fₓ = 3 N

Similarly, the vertical component of the resultant force is the sum of the vertical components of the individual forces:

Fᵧ = F₁ᵧ + F₂ᵧ + F₃ᵧ

Fᵧ = 0 N + 9 N + 12 N

Fᵧ = 21 N

To find the magnitude of the resultant force, use Pythagorean theorem:

F² = Fₓ² + Fᵧ²

F² = (3 N)² + (21 N)²

F = 21.21 N

To find the direction relative to the +x axis, use trigonometry:

tan θ = Fᵧ / Fₓ

tan θ = (21 N) / (3 N)

θ = 81.87°

The resultant force is 21.21 N at a angle of 81.87° above the +x axis (round as needed).

3 0
4 years ago
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