Answer:
599 meters is the answer rounded to the nearest whole number and 599.489795918 meters is the complete answer
Explanation:
to find gravitational potential energy you multiply mass x acceleration due to gravity (always 9.8 on earth) x hight
since we know the gravitational potential energy and want to find out the hight, we take the gravitational potential energy (470,000) and divide it by the product of acceleration due to gravity x mass (9.8 x 80)
so how high the hiker climbed is equal to 470,000 divided by (9.8 x 80)
hight = 470,000 / (9.8 x 80)
hight = 470,000 / 784
hight = 599.489795918 meters
as for rounding, if the decimal is less than 5 you round "down" and keep the current whole number, if the decimal is 5 or greater you round "up" and add 1 to get your new number
Iron nails are attracted to the magnet
Answer:
![\sigma=3.38\times 10^{-6}\ C/m^2](https://tex.z-dn.net/?f=%5Csigma%3D3.38%5Ctimes%2010%5E%7B-6%7D%5C%20C%2Fm%5E2)
Explanation:
Given that,
Mass of the amber bead, m = 12.6 g = 0.0126 kg
Charge on the bead, ![q=-0.646\ \mu C=-0.646\times 10^{-6}\ C](https://tex.z-dn.net/?f=q%3D-0.646%5C%20%5Cmu%20C%3D-0.646%5Ctimes%2010%5E%7B-6%7D%5C%20C)
The electric field due to infinite large plastic sheet is given by :
![E=\dfrac{\sigma}{2\epsilon_o}](https://tex.z-dn.net/?f=E%3D%5Cdfrac%7B%5Csigma%7D%7B2%5Cepsilon_o%7D)
At equilibrium, q E = m g
![\dfrac{q \sigma}{2\epsilon_o}=mg](https://tex.z-dn.net/?f=%5Cdfrac%7Bq%20%5Csigma%7D%7B2%5Cepsilon_o%7D%3Dmg)
where
is the charge per unit area on the glass sheet.
![\sigma=\dfrac{2mg\epsilon_o}{q}](https://tex.z-dn.net/?f=%5Csigma%3D%5Cdfrac%7B2mg%5Cepsilon_o%7D%7Bq%7D)
![\sigma=\dfrac{2\times 0.0126 \times 9.8\times 8.85\times 10^{-12}}{-0.646\times 10^{-6}}](https://tex.z-dn.net/?f=%5Csigma%3D%5Cdfrac%7B2%5Ctimes%200.0126%20%5Ctimes%209.8%5Ctimes%208.85%5Ctimes%2010%5E%7B-12%7D%7D%7B-0.646%5Ctimes%2010%5E%7B-6%7D%7D)
![\sigma=-3.38\times 10^{-6}\ C/m^2](https://tex.z-dn.net/?f=%5Csigma%3D-3.38%5Ctimes%2010%5E%7B-6%7D%5C%20C%2Fm%5E2)
So, the charge per unit area on the glass sheet is (
). Hence, this is the required solution.
Answer:
t = 3.516 s
Explanation:
The most useful kinematic formula would be the velocity of the motorcylce as a function of time, which is:
![v(t) = v_0 +at](https://tex.z-dn.net/?f=v%28t%29%20%3D%20v_0%20%2Bat)
Where v_0 is the initial velocity and a is the acceleration. However the problem states that the motorcyle start at rest therefore v_0 = 0
If we want to know the time it takes to achieve that speed, we first need to convert units from km/h to m/s.
This can be done knowing that
1 km = 1000 m
1 h = 3600 s
Therefore
1 km/h = (1000/3600) m/s = 0.2777... m/s
100 km/h = 27.777... m/s
Now we are looking for the time t, for which v(t) = 27.77 m/s. That is:
27.777 m/s = 7.9 m/s^2 t
Solving for t
t = (27.7777 / 7.9) s = 3.516 s
Answer:
c. 20 amps.
just divide the watts by the volts