Answer:
375 and 450
Explanation:
The computation of the initial and the final temperature is shown below:
In condition 1:
The efficiency of a Carnot cycle is 
So, the equation is

For condition 2:
Now if the temperature is reduced by 75 degrees So, the efficiency is 
Therefore the next equation is

Now solve both the equations
solve equations (1) and (2)

T_2 + 450 = 75
T_2 = 375
Now put the T_2 value in any of the above equation
i.e
T_1 = T_2 + 75
T_1 = 375 + 75
= 450
The odometer measures distance
Answer:
Req = 564 Ω
Explanation:
The equivalent resistance between R1 and R2:
1/R =1/R1 + 1/R2
1/R =1/960 + 1/640
1/R = 1/384
R = 384
Now, the equivalent resistance between R and R3:
Req = 384 + 180
Req = 564 Ω
Comment
The only reason you can do this is that the charges are the same. If they were not, the problem would not be possible.
Equation
The field equation is, in its simplest form,
E = kq/r^2
So each of the charges are pulling / pushing in the same direction. The equation becomes.
kq/r^2 - (-kq/r^2) = Field magnitude in N/C
Givens
- K = 9 * 10^9 N m^2 / c^2
- E = 45 N/C
- r = 7.5/2 = 3.75 cm * ( 1 m / 100 cm) = 0.0375 m
- Find Q
Solution
k*q/0.0375 ^2 - (-kq/0.0375^2) = 45 N/C Combine
2*k*q / 0.0375^2 = 45 N/C Divide by 2
kq /(0.0375^2) = 22.5 N/C Multiply by 0.0375^2
kq = 22.5 * 0.0375 ^2 Find d^2
kq = 22.5 * 0.001406 Combine
kq = 0.03164 N/C * m^2 Divide by k
q = 0.03164 N * m^2 /C / 9*10^9 N m^2 / c^2
q = 2.84760 * 10 ^8 C
I've left the cancellation of the units for you. Notice that only 1 C is left and it is in the numerator as it should be.
Answer:
0.20 km
Explanation:
The computation of the distance r is shown below:
This can be calculated by using the following formula
As we know that

where,
q_1 is 8 mC
q_2 is 2 mC
Now placing these values
Now



r = 600 - 2r
r = 200 m
r = 0.20 km
We simply applied the above formula to determine the distance of r
Hence, the distance r is 0.20 km