Answer:
length
Explanation:
SI unit of volume = m^3
SI unit of area = m^2
volume unit / Area unit = m^3 / m^2
i.e, unit of length
Protons are positive,
electrons are negative,
and neutrons are neutral.
In the nucleus, there are protons and neutrons, so the charge of a nucleus is positive.
Answer:
The change in temperature is
Explanation:
From the question we are told that
The temperature coefficient is ![\alpha = 4 * 10^{-3 }\ k^{-1 }](https://tex.z-dn.net/?f=%5Calpha%20%20%3D%20%204%20%2A%2010%5E%7B-3%20%7D%5C%20%20k%5E%7B-1%20%7D)
The resistance of the filament is mathematically represented as
![R = R_o [1 + \alpha \Delta T]](https://tex.z-dn.net/?f=R%20%20%3D%20%20R_o%20%5B1%20%2B%20%5Calpha%20%20%5CDelta%20T%5D)
Where
is the initial resistance
Making the change in temperature the subject of the formula
![\Delta T = \frac{1}{\alpha } [\frac{R}{R_o} - 1 ]](https://tex.z-dn.net/?f=%5CDelta%20T%20%3D%20%5Cfrac%7B1%7D%7B%5Calpha%20%7D%20%5B%5Cfrac%7BR%7D%7BR_o%7D%20-%201%20%5D)
Now from ohm law
![I = \frac{V}{R}](https://tex.z-dn.net/?f=I%20%3D%20%5Cfrac%7BV%7D%7BR%7D)
This implies that current varies inversely with current so
![\frac{R}{R_o} = \frac{I_o}{I}](https://tex.z-dn.net/?f=%5Cfrac%7BR%7D%7BR_o%7D%20%3D%20%5Cfrac%7BI_o%7D%7BI%7D)
Substituting this we have
![\Delta T = \frac{1}{\alpha } [\frac{I_o}{I} - 1 ]](https://tex.z-dn.net/?f=%5CDelta%20T%20%20%3D%20%5Cfrac%7B1%7D%7B%5Calpha%20%7D%20%5B%5Cfrac%7BI_o%7D%7BI%7D%20-%201%20%5D)
From the question we are told that
![I = \frac{I_o}{8}](https://tex.z-dn.net/?f=I%20%20%3D%20%5Cfrac%7BI_o%7D%7B8%7D)
Substituting this we have
![\Delta T = \frac{1}{\alpha } [\frac{I_o}{\frac{I_o}{8} } - 1 ]](https://tex.z-dn.net/?f=%5CDelta%20T%20%20%3D%20%5Cfrac%7B1%7D%7B%5Calpha%20%7D%20%5B%5Cfrac%7BI_o%7D%7B%5Cfrac%7BI_o%7D%7B8%7D%20%7D%20-%201%20%5D)
=> ![\Delta T = \frac{1}{3.9 * 10^{-3}} (8 -1 )](https://tex.z-dn.net/?f=%5CDelta%20T%20%20%3D%20%5Cfrac%7B1%7D%7B3.9%20%2A%2010%5E%7B-3%7D%7D%20%288%20-1%20%29)
Well it seems like this problem gives you what you need. You said the car was going 4m/s and then accelerated to 60m/s... so 4m/s would be your answer for the initial velocity