Answer:
Average speed = 0.35 m/s
Explanation:
Given the following data;
Distance = 1.3 Km
Time = 62 minutes
To find the average speed in m/s;
First of all, we would convert the quantities to their standard unit (S.I) of measurement;
Conversion:
1.3 kilometres to meters = 1.3 * 1000 = 1300 meters
For time;
1 minute = 60 seconds
62 minutes = X
Cross-multiplying, we have;
X = 62 * 60
X = 3720 seconds
Now, we can calculate the average speed in m/s using the formula;
![Speed = \frac {distance}{time}](https://tex.z-dn.net/?f=%20Speed%20%3D%20%5Cfrac%20%7Bdistance%7D%7Btime%7D%20)
![Speed = \frac {1300}{3720}](https://tex.z-dn.net/?f=%20Speed%20%3D%20%5Cfrac%20%7B1300%7D%7B3720%7D%20)
Average speed = 0.35 m/s
<span>the heated filament will react with the oxygen in the air but now with the argon, which is a noble gas and hardly ever reacts.</span>
Answer:
0.615 m
Explanation:
We need to determine the force on the spring first. By Newton's second law of motion, force is the product of the mass and acceleration. The mass is given.
The acceleration is determined using the equation of motion.
Given parameters:
Initial velocity, <em>u</em> = 0.00 m/s
Distance, <em>s</em> = 4.19 m
Time, <em>t</em> = 0.601 s
We use the equation
![s = ut+\frac{1}{2}at^2](https://tex.z-dn.net/?f=s%20%3D%20ut%2B%5Cfrac%7B1%7D%7B2%7Dat%5E2)
With <em>u</em> = 0.00 m/s,
![s = \frac{1}{2}at^2](https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7B1%7D%7B2%7Dat%5E2)
![a = \dfrac{2s}{t^2}](https://tex.z-dn.net/?f=a%20%3D%20%5Cdfrac%7B2s%7D%7Bt%5E2%7D)
![a = \dfrac{2\times4.19\text{ m}}{(0.601\text{ s})^2} = 23.2\text{ m/s}^2](https://tex.z-dn.net/?f=a%20%3D%20%5Cdfrac%7B2%5Ctimes4.19%5Ctext%7B%20m%7D%7D%7B%280.601%5Ctext%7B%20s%7D%29%5E2%7D%20%3D%2023.2%5Ctext%7B%20m%2Fs%7D%5E2)
The force is
![F = (13.1\text{ kg})(23.2\text{ m/s}^2) = 303.92 \text{ N}](https://tex.z-dn.net/?f=F%20%3D%20%2813.1%5Ctext%7B%20kg%7D%29%2823.2%5Ctext%7B%20m%2Fs%7D%5E2%29%20%3D%20303.92%20%5Ctext%7B%20N%7D)
From Hooke's law, the extension, <em>e</em>, of a string is given by
![e = \dfrac{F}{k}](https://tex.z-dn.net/?f=e%20%3D%20%5Cdfrac%7BF%7D%7Bk%7D)
where <em>k</em> is the spring constant.
Hence,
![e = \dfrac{303.92\text{ N}}{494\text{ N/m}} = 0.615\text{ m}](https://tex.z-dn.net/?f=e%20%3D%20%5Cdfrac%7B303.92%5Ctext%7B%20N%7D%7D%7B494%5Ctext%7B%20N%2Fm%7D%7D%20%3D%200.615%5Ctext%7B%20m%7D)