Which location, 23 degrees or 48 degrees would experience the same earthquake at stronger intensity?Explain why.
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Answer:
x = 240 m
Explanation:
This is a kinematics exercise
Let's fix our frame of reference on car A
x = x₀ₐ+ v₀ₐ t + ½ aₐ t²
the initial position of car a is zero
x = 0 + v₀ₐ t + ½ 0.8 t²
for car B
x = x_{ob} + v_{ob} t - ½ a_b t²
car B's starting position is 30 m
x = 30 + v_{ob} t - ½ 0.4 t²
at the point where they meet, the position of the two vehicles is the same
0 + v₀ₐ t + ½ 0.8 t² = 30 + v_{ob} t - ½ 0.4 t²
let's reduce the speeds to the SI system
v₀ₐ = 14.4 km / h (1000 m / 1 km) (1h / 3600s) = 4 m / s
v_{ob} = 23.4 km / h = 6.5 m / s
4 t + 0.4 t² = 30 + 6.5 t - 0.2 t²
0.2 t² - 2.5 t - 30 = 0
t² - 12.5 t - 150 = 0
we solve the quadratic equation
t =
t =
t₁ = 20 s
t₂ = -7.5 s
time must be a positive quantity so the correct result is t = 20 s
let's look for the distance
x = 4 t + ½ 0.8 t²
x = 4 20 + ½ 0.8 20²
x = 240 m
The diameter of the hose is 6.34 cm.
<em>"Your question is not complete, it seems to be missing the following information";</em>
the flow rate of water in the pipe is 0.012 m³/s
The given parameters;
- velocity of water in the hose, v = 3.8 m/s
- flow rate of water in the hose, Q = 0.012 m³/s
Volumetric flow rate is directly proportional to the product of the area of the hose through which the water flows and the velocity of the water flowing through the hose.
Q = Av
where;
<em>Q is the volumetric flow rate</em>
<em>A is the area of the hose</em>
<em>v is the velocity of flow</em>
The area of the hose is calculated as follow;
The diameter of the hose is calculated as follows;
Thus, the diameter of the hose is 6.34 cm.
Learn more here: brainly.com/question/15061170