Answer:
The surface charge density of the sheet is 1547.516 C/m²
Explanation:
Given;
force experienced by the proton, F = 14.0 μN
Electric field near an infinite sheet with surface charge density (σ) is given as;
E = σ/2ε₀
The force of attraction the proton experienced towards the sheet;
F = Eq
F = q(σ/2ε₀) 
where;
q is the charge of the proton
σ is the surface charge density of the sheet
ε₀ is the permittivity of free space

Therefore, the surface charge density of the sheet is 1547.516 C/m²
Answer:
7.41 x 10^-10 J
Explanation:
m = 4.5 kg
M = 6.3 kg
d = 1.7 m
The formula for the gravitational potential energy is given by

Where, G is the Universal gravitational constant
G = 6.67 x 10^-11 Nm^2/kg^2

U = - 1.112 x 10^-9 J
Now the separation is tripled, d' = 3 x d = 3 x 1.7 m = 5.1 m
Let the potential energy is U'
The formula for the gravitational potential energy is given by

Where, G is the Universal gravitational constant
G = 6.67 x 10^-11 Nm^2/kg^2

U' = - 3.71 x 10^-10 J
the work done is equal to the change in potential energy
W = U' - U
W = - 3.71 x 10^-10 + 1.112 x 10^-9
W = 7.41 x 10^-10 J
Complete Question
A ball having mass 2 kg is connected by a string of length 2 m to a pivot point and held in place in a vertical position. A constant wind force of magnitude 13.2 N blows from left to right. Pivot Pivot F F (a) (b) H m m L L If the mass is released from the vertical position, what maximum height above its initial position will it attain? Assume that the string does not break in the process. The acceleration of gravity is 9.8 m/s 2 . Answer in units of m.What will be the equilibrium height of the mass?
Answer:


Explanation:
From the question we are told that
Mass of ball 
Length of string 
Wind force 
Generally the equation for
is mathematically given as




Max angle =
Generally the equation for max Height
is mathematically given as



Generally the equation for Equilibrium Height
is mathematically given as



Answer:
(a) 1.16 s
(b)0.861 Hz
Explanation:
(a) Period : The period of a simple harmonic motion is the time in seconds, required for a object undergoing oscillation to complete one cycle.
From the question,
If 1550 cycles is completed in (30×60) seconds,
1 cycle is completed in x seconds
x = 30×60/1550
x = 1.16 s
Hence the period is 1.16 seconds.
(b) Frequency : This can be defined as the number of cycles that is completed in one seconds, by an oscillating body. The S.I unit of frequency is Hertz (Hz).
Mathematically, Frequency is given as
F = 1/T ........................... Equation 1
Where F = frequency, T = period.
Given: T = 1.16 s.
Substitute into equation 1
F = 1/1.16
F = 0.862 Hz
Hence thee frequency = 0.862 Hz