Answer:
10.6 s
Explanation:
First of all, let's convert both speeds into m/s:
- Cheetah: ![v_c = 95.9 km/h \cdot \frac{1000 m/km}{3600 s/h}=26.6 m/s](https://tex.z-dn.net/?f=v_c%20%3D%2095.9%20km%2Fh%20%5Ccdot%20%5Cfrac%7B1000%20m%2Fkm%7D%7B3600%20s%2Fh%7D%3D26.6%20m%2Fs)
- Gazelle: ![v_g =72.3 km/h \cdot \frac{1000 m/km}{3600 s/h}=20.1 m/s](https://tex.z-dn.net/?f=v_g%20%3D72.3%20km%2Fh%20%5Ccdot%20%5Cfrac%7B1000%20m%2Fkm%7D%7B3600%20s%2Fh%7D%3D20.1%20m%2Fs)
Taking as reference the position x = 0, the position of the cheetah at time t is
![x_c(t) = v_c t](https://tex.z-dn.net/?f=x_c%28t%29%20%3D%20v_c%20t)
while the position of the gazelle, which starts 68.8 m ahead, is
![x_g(t) = 68.8 + v_g t](https://tex.z-dn.net/?f=x_g%28t%29%20%3D%2068.8%20%2B%20v_g%20t)
The cheetah catches the gazelle when the two positions are equal:
![x_c = x_g\\v_c t = 68.8 + v_g t](https://tex.z-dn.net/?f=x_c%20%3D%20x_g%5C%5Cv_c%20t%20%3D%2068.8%20%2B%20v_g%20t)
and substituting the speeds and solving for t, we find the time at which the cheetah reaches the gazelle:
![26.6t = 68.8 + 20.1 t\\6.5 t = 68.8\\t=\frac{68.8}{6.5}=10.6 s](https://tex.z-dn.net/?f=26.6t%20%3D%2068.8%20%2B%2020.1%20t%5C%5C6.5%20t%20%3D%2068.8%5C%5Ct%3D%5Cfrac%7B68.8%7D%7B6.5%7D%3D10.6%20s)
We determine the electric potential energy of the proton by multiplying the net electric potential to the charge of the proton. The net electric potential is the difference of the final state to the that of the initial state. So, it would be 275 - 125 = 150 V.
electric potential energy = 150 (<span>1.602 × 10-19) = 2.4x10^-17 J</span>
Electricity flows from positive to negative
The answer is; nodes
A standing wave occurs when two waves with the same properties moving in the opposite direction, in the same media, interfere with one another. Nodes are points where the waves interact destructively causing an appearance of the wave standing still. The opposite of nodes is antinodes where they are points of maximum displacement due to constructive destruction.
This one is answered exactly like the one about the thunder and lightning that you posted a few minutes earlier.
Time = (distance covered) / (speed)
Time = (5,000 km) / (790 km/hr)
<em>Time = 6.329 hours</em>
That's 6 hours 19 minutes 44.8 seconds