Answer:
34.6 m/s
Explanation:
From conservation of momentum, the sum of initial and final momentum are equal. Momentum is a product of mass and velocity. Initial mass will be 42.8+31.5+25.9=100.2 kg
Final mass will be 31.5+25.9=57.4 kg
From formula of momentum
M1v1=m2v2
Making v2 the subject of the formula then
![V2=\frac {M1v1}{m2}](https://tex.z-dn.net/?f=V2%3D%5Cfrac%20%7BM1v1%7D%7Bm2%7D)
Substitute 100.2 kg for M1, 19.8 m/s fkr v1 and 57.4 kg for m2 then
![V2=\frac {100.2 kg\times 19.8 m/s}{57.4 kg}=34.56376 m/s\approx 34.6 m/s](https://tex.z-dn.net/?f=V2%3D%5Cfrac%20%7B100.2%20kg%5Ctimes%2019.8%20m%2Fs%7D%7B57.4%20kg%7D%3D34.56376%20m%2Fs%5Capprox%2034.6%20m%2Fs)
Answer:
Explain step by step
Explanation:
Collisions with asteroids, comets and other stuff from space have been responsible for huge landmarks in our planet’s history: global shifts in climate, the creation of our moon, the reshuffling of our deepest geology, and the extinction of species.
Asteroid threats pop up in the news every now and then, but the buzz tends to fizzle away as the projectiles pass us by. Other times, as with the 2013 Chelyabinsk meteor in Russia, we don’t know they’re here until they’re here.
Perhaps most useful to remember is that when near-Earth objects (including asteroids, comets and meteoroids) enter the atmosphere, they’re called meteors; and if there’s anything left when they hit the ground, the resulting object is called a meteorite. We tend to focus on asteroids when talking about potential collisions, because they’re more likely to hit us than other stuff like comets, but still big enough to pose a threat.
6. Drop to one quarter of its original value
Answer:
5773.50269 Hz
23 A
Explanation:
= Inductance = 6 mH
= Capacitance = 5 μF
= Resistance = 3 Ω
= Maximum emf = 69 V
Resonant angular frequency is given by
![\omega=\dfrac{1}{\sqrt{LC}}\\\Rightarrow \omega=\dfrac{1}{\sqrt{6\times 10^{-3}\times 5\times 10^{-6}}}\\\Rightarrow \omega=5773.50269\ Hz](https://tex.z-dn.net/?f=%5Comega%3D%5Cdfrac%7B1%7D%7B%5Csqrt%7BLC%7D%7D%5C%5C%5CRightarrow%20%5Comega%3D%5Cdfrac%7B1%7D%7B%5Csqrt%7B6%5Ctimes%2010%5E%7B-3%7D%5Ctimes%205%5Ctimes%2010%5E%7B-6%7D%7D%7D%5C%5C%5CRightarrow%20%5Comega%3D5773.50269%5C%20Hz)
The resonant angular frequency is 5773.50269 Hz
Current is given by
![I=\dfrac{\epsilon}{R}\\\Rightarrow I=\dfrac{69}{3}\\\Rightarrow I=23\ A](https://tex.z-dn.net/?f=I%3D%5Cdfrac%7B%5Cepsilon%7D%7BR%7D%5C%5C%5CRightarrow%20I%3D%5Cdfrac%7B69%7D%7B3%7D%5C%5C%5CRightarrow%20I%3D23%5C%20A)
The current amplitude at the resonant angular frequency is 23 A
Answer
given,
I is the loudness of sound
I = 10 Log₁₀ r
r is relative intensity
at when relative intensity is 10⁶
I = 60 dB
how much louder when 100 people would be talking together
I = 10 Log₁₀ r
I = 10 Log₁₀ (10⁶ x 100)
I = 10 Log₁₀ (10⁸)
I = 80 dB
hence, the intensity will be increased by (80 dB -60 dB) 20 dB when 100 people start talking together.