Answer:
2040 m or 2.04 km
Explanation:
The formula to calculate distance is D = v * t
D = Distance
v = velocity
t = time
Now plug and chug
D = 340 m/s * 6.0s = 2040 m = 2.04 km
Answer:
Velocity = 94.85m/s
Explanation:
<u>Given the following data ;</u>
Height = 1200m
Vertical distance = 1050m
To find the time, we would use the second equation of motion;
Substituting into the equation, we have;
t = 11.07 secs
To find the velocity;
Mathematically, velocity is given by the equation;
Substituting into the above equation;
Velocity = 94.85m/s
Therefore, the velocity of the water above 1050 m over the sea level is 94.85m/s.
The answer is 138.75 kgm/s
Impulse (I) is the multiplication of force (F) and time interval (Δt): I = F · Δt
It is given:
m = 0.25
F = 18,500 N = 18,500 kgm/s²
Δt = 0.0075 s
I = ?
I = F · Δt = 18,500 5kgm/s² * 0.0075 s = 18,500 * 0.0075 kgm/s² * s = 138.75 kgm/s
Answer:
Ratio is 100:1
Explanation:
From hydraulic press formulas;
(F1/A1) = (F2/A2)
Applying this to the question, we can say that Force on slave cylinder (Fs) = F1 while Force on master cylinder (Fm) = F2 and their respective Areas as As and Am.
Now plugging it into the equation to obtain;
Fs/As = Fm/Am
Now, the question says the hydraulic system is designed to exert a force 100 times as big as the one put into it, thus;
Fs = 100 Fm
And so from the equation earlier, rearranging, we have,
Fs/Fm = As/Am. So, 100Fm/Fm = As/Am
So, Fm will cancel out and we have ;
As/Am = 100/1
Thus, the ratio of the area of the slave cylinder to the master cylinder is 100:1
Answer:
β₂ = 88.8 dβ
Explanation:
The intensity of the sound is
β = 10 log (I / I₀)
The sensitivity threshold (I₀) for humans is 1 10⁻¹² W / m²
I = I₀
I = 10⁻¹² 10^{70/10}
I = 1 10⁻⁵ W / m²
The total intensity for the 76 trombones is
I_total = n I
I_total = 76 1 10⁻⁵
I_total = 76 10⁻⁵ W / m²
Let's find the sound level
β₂ = 10 log (76 10⁻⁵ / 10⁻¹²)
β₂ = 88.8 dβ