Answer:
(i) Electric field outside the shell:
For point r>R; draw a spherical gaussian surface of radius r.
Using gauss law, ∮E.ds=q0qend
Since E is perpendicular to gaussian surface, angle betwee E is 0.
Also E being constant, can be taken out of integral.
So, E(4πr2)=q0q
So, E=4πε01r2q
Answer:
The average force is 1578.94 N.
Explanation:
Given that,
Mass of baseball = 150 g
Speed = 45 m/s
Speed of pitcher = 60 m/s
Time = 9.5 ms
We need to calculate the average force
Using formula of impulse

...(I)
....(II)
From equation (I) and (II)

Where, m = mass of baseball
= final velocity
= Initial velocity
= time
Put the value into the formula


Hence, The average force is 1578.94 N.
Depending on whether they where conjoined initially, or where born separately really changes the answer of this question. Although studies show that twins generally have a kinetic link, more practical research says that twins are 25% more likely to both be left handed, which is a recessive gene, they are also more likely to die in child birth, twins are more likely to understand and be biligual, along with many other advantages twins may have.
To solve the problem it is necessary to apply the definition of Newton's second Law and the definition of density.
Density means the relationship between volume and mass:

While Newton's second law expresses that force is given by
F = ma
Where,
m = mass
a= acceleration (gravity at this case)
In the case of the given data we have to,


In equilibrium, the entire system is equal to zero, therefore


Where,
Weight of balloon
Weight of helium gas
Bouyant force
Then we have,


Replacing the values we have that


Now by ideal gas law we have that



But the relation \frac{n}{m} is equal to the inverse of molar mass, that is



Therefore the pressure of the helium gas assuming it is ideal is 0.61Mpa
F = m*a
a = v/t
a = 9.0 m/s / 2.0 s
a = 4.5 m/s^2
F = 100 kg * 4.5 m/s^2
F = 450 N
Sig figs = 500 N?