Answer:
Fnet = 12 N
Explanation:
Force on a point charge due to another point charge = kq1q2 / d^2
Force on +32uC = due to + 20uC + due to -60uC
where uC = 1 x 10^-6 C and k = 9 x 10^9 N m^2 / C^2
Net Force =
![= \frac{1}{4\pi \epsilon _0} [\frac{32 \times 10^-^6 \times60\times10^-^6}{(60/100)^2}-\frac{32 \times 10^-^6 \times20\times10^-^6}{ (40/100)^2} ]](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B1%7D%7B4%5Cpi%20%5Cepsilon%20_0%7D%20%5B%5Cfrac%7B32%20%5Ctimes%2010%5E-%5E6%20%5Ctimes60%5Ctimes10%5E-%5E6%7D%7B%2860%2F100%29%5E2%7D-%5Cfrac%7B32%20%5Ctimes%2010%5E-%5E6%20%5Ctimes20%5Ctimes10%5E-%5E6%7D%7B%20%2840%2F100%29%5E2%7D%20%20%5D)
![F_{net}=9 \times10^9\times 10^-^1^2[\frac{32\times60\times10^4}{60\times60} -\frac{32\times20\times10^4}{40\times40} ]](https://tex.z-dn.net/?f=F_%7Bnet%7D%3D9%20%5Ctimes10%5E9%5Ctimes%2010%5E-%5E1%5E2%5B%5Cfrac%7B32%5Ctimes60%5Ctimes10%5E4%7D%7B60%5Ctimes60%7D%20-%5Cfrac%7B32%5Ctimes20%5Ctimes10%5E4%7D%7B40%5Ctimes40%7D%20%5D)
![=90[32(\frac{80-60}{60\times 80} )]\\\\=90\times32\times0.004167\\\\=12N](https://tex.z-dn.net/?f=%3D90%5B32%28%5Cfrac%7B80-60%7D%7B60%5Ctimes%2080%7D%20%29%5D%5C%5C%5C%5C%3D90%5Ctimes32%5Ctimes0.004167%5C%5C%5C%5C%3D12N)
Fnet = 12 N
Answer:
The power for circular shaft is 7.315 hp and tubular shaft is 6.667 hp
Explanation:
<u>Polar moment of Inertia</u>

= 0.14374 in 4
<u>Maximum sustainable torque on the solid circular shaft</u>

=
= 3658.836 lb.in
=
lb.ft
= 304.9 lb.ft
<u>Maximum sustainable torque on the tubular shaft</u>

= 
= 3334.8 lb.in
=
lb.ft
= 277.9 lb.ft
<u>Maximum sustainable power in the solid circular shaft</u>

= 
= 4023.061 lb. ft/s
=
hp
= 7.315 hp
<u>Maximum sustainable power in the tubular shaft</u>

= 
= 3666.804 lb.ft /s
=
hp
= 6.667 hp
Answer:
Hands rubbed together to become warm
Answer:
The electric field is 
Explanation:
From the question we are told that
The radius of the inner sphere is 
The radius of the outer sphere is 
The charge on the inner sphere is 
The charge on the outer sphere is 
The position from the origin is 
Generally the electric field is mathematically represented as

The reason for using
for the calculation is due to the fact that the position considered is greater than the
but less than 
Here k is the Coulomb constant with value 
So


Compared to coffee at room temperature, the molecules of the coffee at 34°C will be moving faster and colliding with one another more frequently.