Answer:
68.8 N 13.8°N of W
Explanation:
F₁ is 50 N 30°N of W. The terminal angle is 150°.
F₂ is 25 N 20°S of W. The terminal angle is -160°.
Graphically, you can add the vectors using head-to-tail method. Move F₂ so that the tail of the vector is at the head of F₁. The resultant vector will be from the tail of F₁ to the head of F₂.
Algebraically, find the x and y components of each vector.
F₁ₓ = 50 N cos(150°) = -43.3 N
F₁ᵧ = 50 N sin(150°) = 25 N
F₂ₓ = 25 N cos(-160°) = -23.5 N
F₂ᵧ = 25 N sin(-160°) = -8.6 N
The x and y components of the resultant vector are the sums:
Fₓ = -43.3 N + -23.5 N = -66.8 N
Fᵧ = 25 N + -8.6 N = 16.4 N
The magnitude of the resultant force is:
F = √(Fₓ² + Fᵧ²)
F = √((-66.8 N)² + (16.4 N)²)
F = 68.8 N
The direction of the resultant force is:
θ = tan⁻¹(Fᵧ / Fₓ)
θ = tan⁻¹(16.4 N / -66.8 N)
θ = 166.2°
θ = 13.8°N of W
You weigh slightly more at the beach than on top of a mountain, because at the beach, you're closer to the center of the Earth.
Centripetal acceleration is the motion inwards towards the center of a circle. It is given by the square of velocity, divided by the radius of the circular path.
ac = v²/r, where ac is the centripetal acceleration in m/s²
Therefore,
Centripetal acceleration = 3²/20m
= 9/20m
= 0.45 m/s²
Thus, the centripetal acceleration is 0.45 m/s²
Answer:
the lever for location 1 is
dropping water into ladle
Explanation:
i dont know if i have the question answer right though if so let me know
The direction of the skaters after the collision is 61 degrees.
<h3>
Momentum of the skaters</h3>
The momentum of the skaters is calculated as follows;
P(N) = 58.9 x 7.8 = 459.42 kgm/s
P(E) = 72.6 x 3.5 = 254.1 kgm/s
<h3>Direction of the skaters after collision</h3>
The direction of the skaters after the collision is calculated as follows;
Thus, the direction of the skaters after the collision is 61 degrees.
Learn more about direction of collision here: brainly.com/question/25891473
