Answer:
(a): 
(b): 
Explanation:
<u>Given:</u>
- Charge on one sphere,
- Charge on second sphere,
- Separation between the spheres,
Part (a):
According to Coulomb's law, the magnitude of the electrostatic force of interaction between two static point charges is given by
where,
k is called the Coulomb's constant, whose value is 
From Newton's third law of motion, both the spheres experience same force.
Therefore, the magnitude of the force that each sphere experiences is given by
The negative sign shows that the force is attractive in nature.
Part (b):
The spheres are identical in size. When the spheres are brought in contact with each other then the charge on both the spheres redistributes in such a way that the net charge on both the spheres distributed equally on both.
Total charge on both the spheres, 
The new charges on both the spheres are equal and given by
The magnitude of the force that each sphere now experiences is given by
Complete Question
The complete question is shown on the first uploaded image
Answer:
The pressure difference of the first bubble is 
The pressure difference of the second bubble is 
The pressure difference on the second bubble is higher than that of the first bubble so when the valve is opened pressure from second bubble will cause air to flow toward the first bubble making is bigger
Explanation:
From the question we are told that
The radius of the first bubble is 
The radius of the second bubble is 
The surface tension of the soap solution is 
Generally according to the Laplace's Law for a spherical membrane the pressure difference is mathematically represented as
Now the pressure difference for the first bubble is mathematically evaluated as
substituting values
Now the pressure difference for the second bubble is mathematically evaluated as
Answer:
Explanation:
Coordinate system is one that describe the location of an object in a given plane. It implies the use of axes (coordinates) and points.
Given that the man in the question walks 400 m due north of east. The cardinal points can be used in this case, with the north and east cardinals as the required axis.
scale = 
= 
= 
scale = 1:40
This is a reduced scale which implies that 1 cm on the drawing is equal to 40 m on the original length.
The man's direction is 
north of east.
The graphical drawing of the vector is herewith attached to this answer.
Complete question is;
a. Two equal sized and shaped spheres are dropped from a tall building. Sphere 1 is hollow and has a mass of 1.0 kg. Sphere 2 is filled with lead and has a mass of 9.0 kg. If the terminal speed of Sphere 1 is 6.0 m/s, the terminal speed of Sphere 2 will be?
b. The cross sectional area of Sphere 2 is increased to 3 times the cross sectional area of Sphere 1. The masses remain 1.0 kg and 9.0 kg, The terminal speed (in m/s) of Sphere 2 will now be
Answer:
A) V_t = 18 m/s
B) V_t = 10.39 m/s
Explanation:
Formula for terminal speed is given by;
V_t = √(2mg/(DρA))
Where;
m is mass
g is acceleration due to gravity
D is drag coefficient
ρ is density
A is Area of object
A) Now, for sphere 1,we have;
m = 1 kg
V_t = 6 m/s
g = 9.81 m/s²
Now, making D the subject, we have;
D = 2mg/((V_t)²ρA))
D = (2 × 1 × 9.81)/(6² × ρA)
D = 0.545/(ρA)
For sphere 2, we have mass = 9 kg
Thus;
V_t = √[2 × 9 × 9.81/(0.545/(ρA) × ρA))]
V_t = 18 m/s
B) We are told that The cross sectional area of Sphere 2 is increased to 3 times the cross sectional area of Sphere 1.
Thus;
Area of sphere 2 = 3A
Thus;
V_t = √[2 × 9 × 9.81/(0.545/(ρA) × ρ × 3A))]
V_t = 10.39 m/s
Answer: Newton's third law
Formally stated, Newton's third law is: For every action, there is an equal and opposite reaction. The statement means that in every interaction, there is a pair of forces acting on the two interacting objects. The size of the forces on the first object equals the size of the force on the second object.
Explanation:
