1.Velocity (v) is a vector quantity that measures displacement (or change in position, Δs) over the change in time (Δt), represented by the equation v = Δs/Δt. Speed (or rate, r) is a scalar quantity that measures the distance traveled (d) over the change in time (Δt), represented by the equation r = d/Δt.
Explanation:
a = (Vf-Vi)/t
= (10m/s - 15m/s)/2s
a = -5 / 2 m/s^2
• so the dog diaccelerate at the rate of 5/2 m/s^2
hope it helps
Answer:
α = 5.75°
Explanation:
In this case, the problem states that both springs have identical lenghts and we also have theri constant. We want to know the angle of the rod with the horizontal. This can be found with the following expression:
sinα = Δx/L
α = sin⁻¹ (Δx/L) (1)
However, we do not have Δx. This can be found when half of the weight of the rod is balanced. In this way:
F₁ = k₁*x₁ ----> x₁ = F₁ / k₁ (2)
And the force is the weight in half so: F₁ = mg/2
Replacing in (2) we have:
x₁ = (1.3 * 9.8) / (2 * 58) = 0.1098 m
Doing the same thing with the other spring, we have:
x₂ = (1.3 * 9.8) / (2 * 36) = 0.1769 m
Now the difference will be Δx:
Δx = 0.1769 - 0.1098 = 0.0671 m
Finally, we can calculate the angle α, from (1):
α = sin⁻¹(0.0671 / 0.67)
<h2>
α = 5.75 °</h2>
Hope this helps
Explanation:
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