Mass never just disappears. The other 4kg had to go somewhere. It could have left the scene of the fire in the form of smoke particles and hot gases.
Answer:
F = 91.27 N
Explanation:
Parameters given:
Charge of alpha particle, q = +2.0e =
= 
Charge of gold nucleus, Q = +79e =
= 
Distance between the alpha particle and gold nucleus, r = 
Electric force is given as:
F = 
where k = Coulomb's constant
Therefore:

The electric force acting on the alpha particle when the alpha particle is
from the gold nucleus is 91.27 N.
Answer:
a) 3000 Hz;
b) 30 dB;
c) 1000 times.
Explanation:
a) From the human audiogram given on the figure below the black line represents the threshold for hearing the sound at each frequency. We see that the least intensity is necessary for the frequency of about 3000 Hz.
b) Using the same audiogram we see that we would need the sound of the intensity of about 30dB.
c) The least perceptible sound at 1000 Hz must be 0dB while at 100 Hz it is 30dB. These are logarithmic quantities. To transform them to the linear quantities we use the formula

where
is the hearing threshold at 1000 Hz.
Therefore we have the following

is the threshold at 1000Hz and
is the threshold at 100Hz.
By exponentiating we have

Now dividing these two equations we get

Therefore, the least perceptible sound at 100Hz is 1000 times more intense than the least perceptible sound at 1000Hz.
Note: I got these values unisng the audiogram that is attached here. The one that you have might be slightly different and might yield different answers.
Answer:
A building where the boy is on the 12 floor
Explanation:
The equation of the height or position takes into account the initial conditions.
So the general equation is
x(t) = at+c
When you solve with the initial conditions t=0 you will find the position at the begining, so this is c the constant.
in our initial equation we have 95 as the constant. and this is a equation to find height so the initial height is 95feets.
Now a common building has a distance of 7.5 feet between every floor.
You divide 95 by 7.5 and you will find 12.6
Answer:
Explanation:
let the ball is thrown vertically downwards with velocity u.
So, initial velocity, = - u (downwards)
acceleration = - g (downwards)
let the velocity is v after time t.
use first equation of motion
v = u + at
- v = - u - gt
v = u + gt
So, it is a straight line having slope g and y intersept is u.
The graph I shows the velocity - time graph.
Now the value of acceleration remains constant and it is equal to - 9.8 m/s^2.
So, acceleration time graph is a starigh line parallel to time axis having slope zero.
the graph II shows the acceleration - time graph.
Use III equation of motion to find the final speed in terms height.

And the time is
v = u + gt
