Answer:
The distance from the pivot point that the small child will sit in order to maintain the balance is 1.8 m
Explanation:
Given;
mass of the bigger child, M = 30 kg
mass of the smaller child, m = 20 kg
distance between the two children, d = 3 m
This information can be represented diagrammatically;
3m
|<------------------------------------------------>|
----------------------------------------------------------------------------
↓ x Δ 3-x ↓
20kg 30kg
x is the distance from the pivot point that the small child will sit in order to maintain the balance
Take moment about the pivot;
Clockwise moment = anticlockwise moment
30(3-x) = 20x
90 -30x = 20x
90 = 20x + 30x
90 = 50x
x = 90 / 50
x = 1.8 m
Therefore, the distance from the pivot point that the small child will sit in order to maintain the balance is 1.8 m
The average human generates around 100 watts in an average day
Answer:
The room with the lower temperature
Explanation:
Using
PV=nRT
Since both the rooms same volume and are connected, so they will have same pressure
PV=nRT=constant
nT=Constant/R=constant
If T is more n has to be less
Thus, lower the temperature, more the number molecules.
Answer:
Option A, Boyle's law
Explanation:
The complete question is
Pressure and volume changes at a constant temperature can be calculated using
a. Boyle's law. c. Kelvin's law.
b. Charles's law. d. Dalton's law.
Solution
In Boyle’s law, the gas is assumed to be ideal gas and at constant temperature. With these two conditions fixed, Boyle’s established that volume of gas varies inversely with the absolute pressure.
The basic mathematical representation of this phenomenon is as follows -

OR

Where P is the pressure of ideal gas, V is the volume and k is the constant of proportionality.
Hence, option A is correct
Answer:
a

b

Explanation:
From the question we are told that
The current is 
The length of one side of the square 
The separation between the plate is 
Generally electric flux is mathematically represented as

differentiating both sides with respect to t is

=> 
Here
is the permitivity of free space with value

=> 
=> 
Generally the displacement current between the plates in A

=> 