Answer:
The distance away the center of the earthquake is 1083.24 km.
Explanation:
Given that,
Speed of transverse wave = 9.1\ km/s
Speed of longitudinal wave = 5.7 km/s
Time = 71 sec
We need to calculate the distance of transverse wave
Using formula of distance
![d=v\times t](https://tex.z-dn.net/?f=d%3Dv%5Ctimes%20t)
....(I)
The distance of longitudinal wave
....(II)
From the first equation
![t=\dfrac{d}{9.1}](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7Bd%7D%7B9.1%7D)
Put the value of t in equation (II)
![d =5.7\times(\dfrac{d}{9.1}+71)](https://tex.z-dn.net/?f=d%20%3D5.7%5Ctimes%28%5Cdfrac%7Bd%7D%7B9.1%7D%2B71%29)
![\dfrac{9.1d-5.7d}{9.1}=71\times5.7](https://tex.z-dn.net/?f=%5Cdfrac%7B9.1d-5.7d%7D%7B9.1%7D%3D71%5Ctimes5.7)
![d0.3736=404.7](https://tex.z-dn.net/?f=d0.3736%3D404.7)
![d =1083.24\ km](https://tex.z-dn.net/?f=d%20%3D1083.24%5C%20km)
Hence, The distance away the center of the earthquake is 1083.24 km.
Answer:
Image result for You are traveling at 16m/s for 18 seconds. What is your displacement?
The average velocity of the object is multiplied by the time traveled to find the displacement. The equation x = ½( v + u)t can be manipulated, as shown below, to find any one of the four values if the other three are known.
Explanation:
I got you b, V(final)^2=V(initial+2acceleration*displacement
So this turns to (0m/s)^2=(50m/s)^2+2(9.8)(d) so just flip it all around to isolate d so you get
-(50m/s)^2/2(9.8) = d so you get roughly 12.7555 meters up
![V= \frac{S}{t}](https://tex.z-dn.net/?f=V%3D%20%5Cfrac%7BS%7D%7Bt%7D%20)
![t= \frac{S}{V}](https://tex.z-dn.net/?f=t%3D%20%5Cfrac%7BS%7D%7BV%7D%20)
<u />
![t= \frac{S}{c}](https://tex.z-dn.net/?f=t%3D%20%5Cfrac%7BS%7D%7Bc%7D%20)
![t= \frac{6.1*10^{12}}{299792458}](https://tex.z-dn.net/?f=t%3D%20%5Cfrac%7B6.1%2A10%5E%7B12%7D%7D%7B299792458%7D%20)
![t=20347.4098071s](https://tex.z-dn.net/?f=t%3D20347.4098071s)
It takes 20347.4098071s for light from the sun to reach Pluto.
The 6.1*10^9 is replaced by 6.1*10^12 on line 4 because we convert the distance from km to m.
c = speed of light. If a different value was given in the previous question then use that instead of the value I used to do the final calculation.
Answer:
the acceleration is reduced by gravity
a = (15 / .35) - [9.8 * sin(65º)]
Explanation:
break the launch vector into two components, vertical and horizontal
Force Net Vertical=-9.8*.350+15cos65 N
force net horizonal=15sin65
initial acceleration= force/mass= (-9.8+15/.350*cos65)j+(15/.350*sin65)i
using i,j vectors..