Answer:
The charge of each sphere is 
Explanation:
The free body diagram of this question is shown on the first uploaded image
From the question we are told that
The mass of the two sphere is 
The length of the connection is 
The angle between the suspended side is 
At Equilibrium the force acting at the horizontal is = 0N and the net force acting at the vertical is zero
This can be represented mathematically as

For 

=> 
For 

=> 
Now 

Where F is the electrical force which is mathematically represented as

Therefore

Where
is the distance between the two masses and from the diagram it is

So

making q the subject of the formula

Where k is the Coulomb's constant with a value of 
Substituting values


The negative sign is because we are told from the question that they are negatively charged
Archimedes is known for contributions to a scientific discipline that is different from that of the other scientists.
B, gossiping is unproessional
Here, we know, according to 3rd Equation of Kinematics,
v² - u² = 2as
Here, u = 0 [ Free fall ]
a = 9.8 m/s² [ constant value for the Earth system ]
s = 15 m
Substitute their values,
v² - 0² = 2 * 9.8 * 15
v² = 294
v = √294
v = 17.15 m/s
In short, Your Answer would be Option D
Hope this helps!
Answer:
m1/m2 = 0.51
Explanation:
First to all, let's gather the data. We know that both rods, have the same length. Now, the expression to use here is the following:
V = √F/u
This is the equation that describes the relation between speed of a pulse and a force exerted on it.
the value of "u" is:
u = m/L
Where m is the mass of the rod, and L the length.
Now, for the rod 1:
V1 = √F/u1 (1)
rod 2:
V2 = √F/u2 (2)
Now, let's express V1 in function of V2, because we know that V1 is 1.4 times the speed of rod 2, so, V1 = 1.4V2. Replacing in the equation (1) we have:
1.4V2 = √F/u1 (3)
Replacing (2) in (3):
1.4(√F/u2) = √F/u1 (4)
Now, let's solve the equation 4:
[1.4(√F/u2)]² = F/u1
1.96(F/u2) =F/u1
1.96F = F*u2/u1
1.96 = u2/u1 (5)
Now, replacing the expression of u into (5) we have the following:
1.96 = m2/L / m1/L
1.96 = m2/m1 (6)
But we need m1/m2 so:
1.96m1 = m2
m1/m2 = 1/1.96
m1/m2 = 0.51