Answer:
Explanation:
The data indicates that point A is located midway between two charges.
To calculate the electric field at point A, we begin with the field produced by charge -Q ( 6e⁻ ) at A:
= 9 x 10⁹ x 6 x 1.6 x 10⁻¹⁹ / (2.5)² x 10⁻⁴
= 13.82 x 10⁻⁶ N/C
This field points towards Q⁻.
A similar field will arise from the charge Q⁺, but it will direct away from Q⁺ toward Q⁻.
To find the resultant field, we add these contributions:
= 2 x 13.82 x 10⁻⁶
= 27.64 x 10⁻⁶ N/C
For the force acting on an electron placed at A:
= charge x field
= 1.6 x 10⁻¹⁹ x 27.64 x 10⁻⁶
= 44.22 x 10⁻²⁵ N
The work done can be calculated using the equation:
Work = Force x Distance = Change in kinetic energy
The kinetic energy is derived using the following formula: KE = (1/2)*m*v^2
Thus, the change in kinetic energy is calculated as (1/2)*m*(Vf)^2 - (1/2)*m*(Vo)^2
Where:
Vf represents the final speed = 90 kph = 25 m/s
Vo denotes the initial speed = 72 kph = 20 m/s
By substituting in the given values:
Work = (1/2)*2500*(25^2) - (1/2)*2500*(20^2) = 281250 J, which can also be represented as 2.8 x 10^5 Joules.
The correct choice among the options is A.
Answer:
The total energy saving achieved will be 0.8 KWH
Explanation:
It is provided that there are 50 long light bulbs rated at 100 W, thus the total power consumed by 50 bulbs equals 100×50 = 5000 W = 5 KW
Additionally, 30 bulbs are rated at 60 W
Consequently, the total power consumption of 30 bulbs is 30×60 = 1800 W = 1.8 KW
The cumulative power of all 80 bulbs is 1.8 + 5 = 6.8 KW
Considering the operation time of 3 hours
We know that energy 
Now, the power consumption per CFL bulb equals 25 W
Thus for 80 bulbs, power equals 80×25 = 2000 W = 2 KW
So the energy for 80 bulbs amounts to 2×3 = 6 KWH
Hence, the overall energy saving is 6.8 - 6 = 0.8 KWH