Answer:
Explanation:
Given that,
The spring constant
K = 1N/m
Frequency of motion
f = 14Hz
We want calculate the mass m?
The frequency of spring system is related to the mass by
From w = √k/m
Where w = 2πf
f = 1/2π √k/m
Where,
w is angular frequency in rad/s
m is mass of object attached in kg
k is the spring constant in N/m
f Is the frequency in Hz
Then, make m subject of formula
Multiply both sides by 2π
2πf = √k/m
Square both sides
4π²f² = k/m
Then, k= 4π²f² × m
m = k / 4π²f²
m = 1 / (4π² × 1.4)
m = 1 / 55.27
m = 0.0181 kg
m= 18.1 g
The mass of the object attached in 18.1 g or 0.0181 kg
Answer:
O a force that opposes motion
D I think is the correct answer
If the cylinder is slightly
Answer:
a) 
b) 
c) 
Explanation:
Before the wire is inserted, the total charge on the inner and outer surface of the cylindrical shell is as follows:


Here, 'h' denotes the length of the cylinder. The total charge of the cylindrical shell is -0.395h μC.
When the thin wire is inserted, the positive charge of the wire attracts the same amount of negative charge on the inner surface of the shell.

a) The new charge on the inner shell is -1.1h μC. Therefore, the new surface charge density of the inner shell can be calculated as follows:

b) The new charge on the outer shell is equal to the total charge minus the inner charge. Therefore, the new charge on the outer shell is +0.705 μC.
The new surface charge density can be calculated as follows:

c) The electric field outside the cylinder can be found by Gauss' Law:

We will draw an imaginary cylindrical shell with radius r > r2. The integral in the left-hand side will be equal to the area of the imaginary surface multiplied by the E-field.
