Answer:
32s
Explanation:
We must establish that by the time the police car catches up to the speeder, both have travelled a certain distance during the same amount of time. However, the police car experiences accelerated motion whereas the speeder travels at a constant velocity. Therefore we will establish two formulas for distance starting with the speeder's distance:
![x=vt=23.3\frac{m}{s}t](https://tex.z-dn.net/?f=x%3Dvt%3D23.3%5Cfrac%7Bm%7D%7Bs%7Dt)
and the police car distance:
![x=vt+\frac{at^{2}}{2}=0+\frac{2.75\frac{m}{s^{2}} t^{2}}{2}=0.73\frac{m}{s^{2}}](https://tex.z-dn.net/?f=x%3Dvt%2B%5Cfrac%7Bat%5E%7B2%7D%7D%7B2%7D%3D0%2B%5Cfrac%7B2.75%5Cfrac%7Bm%7D%7Bs%5E%7B2%7D%7D%20t%5E%7B2%7D%7D%7B2%7D%3D0.73%5Cfrac%7Bm%7D%7Bs%5E%7B2%7D%7D)
Since they both travel the same distance x, we can equal both formulas and solve for t:
![0 = 0.73\frac{m}{s^{2}}t^{2}-23.3\frac{m}{s} t\\\\0=t(0.73\frac{m}{s^{2}}t-23.3\frac{m}{s} )\\\\](https://tex.z-dn.net/?f=0%20%3D%200.73%5Cfrac%7Bm%7D%7Bs%5E%7B2%7D%7Dt%5E%7B2%7D-23.3%5Cfrac%7Bm%7D%7Bs%7D%20t%5C%5C%5C%5C0%3Dt%280.73%5Cfrac%7Bm%7D%7Bs%5E%7B2%7D%7Dt-23.3%5Cfrac%7Bm%7D%7Bs%7D%20%29%5C%5C%5C%5C)
Two solutions exist to the equation; the first one being ![t=0](https://tex.z-dn.net/?f=t%3D0)
The second solution will be:
![0.73\frac{m}{s^{2}}t=23.3\frac{m}{s}\\\\t=\frac{23.3\frac{m}{s}}{0.73\frac{m}{s^{2}}}=32s](https://tex.z-dn.net/?f=0.73%5Cfrac%7Bm%7D%7Bs%5E%7B2%7D%7Dt%3D23.3%5Cfrac%7Bm%7D%7Bs%7D%5C%5C%5C%5Ct%3D%5Cfrac%7B23.3%5Cfrac%7Bm%7D%7Bs%7D%7D%7B0.73%5Cfrac%7Bm%7D%7Bs%5E%7B2%7D%7D%7D%3D32s)
This result allows us to confirm that the police car will take 32s to catch up to the speeder
Given
Three 7 ohm resistor are in series.
The battery is V=10V
To find
The equivalent resistance
Explanation
When the resistance are in series then the resistance are added to find its equivalent.
Thus the equivalent resistance is:
![R=7+7+7=21\Omega](https://tex.z-dn.net/?f=R%3D7%2B7%2B7%3D21%5COmega)
Conclusion
The equivalent resistance is 21 ohm
Answer:
Sound intensity is the amount of energy carried by sound versus loudness is a subjective measurement of the audible sound.
Sound intensity is measured in watt per square meter where loudness is measured in sones (sone is a subjective measurement and not an SI unit)
Answer:
Explanation:
The speed of light is 3.0 x 10⁸ m/s
We need to find the distance traveled by it in one day.
1 day = 24 hours
1 day = 24 × 3600 seconds
= 86400 s
Now, using the formula of speed to find the distance covered as follows :
![d=v\times t](https://tex.z-dn.net/?f=d%3Dv%5Ctimes%20t)
Putting all the values, we get :
![d=3\times 10^8\ m/s\times 86400\ s\\\\d=2.59\times 10^{13}\ m](https://tex.z-dn.net/?f=d%3D3%5Ctimes%2010%5E8%5C%20m%2Fs%5Ctimes%2086400%5C%20s%5C%5C%5C%5Cd%3D2.59%5Ctimes%2010%5E%7B13%7D%5C%20m)
Hence, light will cover
of distance in one day.