Answer:
Explanation:
= Permittivity of free space =
A = Area =
d = Thickness =
k = Dielectric constant = 5.4
V = Voltage = 86.2 mV
Charge is given by
The charge on the outer surface is
Answer:
t = T/4
Explanation:
The power delivered to the mass by the spring is work done by the spring per second.
The work done by the spring is equal to the elastic potential energy stored in the spring.
The maximum energy stored in the spring is at the amplitude of the oscillation.
So the first time the mass reaches to its amplitude can be found by the following equation of motion:
When the mass reaches the amplitude:
because cos(π) = 1.
Using ω = 2π/T,
Answer:
a) 2.4×10^4N/C
b) 2.9 ×10^3V
Explanation:
Correct ststement: An electric force of 3.9×10^-15N acts on the electron if it is placed anywhere between the two plates.
a) The electric field magnitude is given by E= F/e
Where F = electric force
e= elementary charge carried by a single proton e= 1.6×10^-19C
E= (3.9×10^-15)/(1.6×10^-19)
E= 2.4×10^4NC
b) Ptential difference is given by:
Change in V= E×change in distance
Potential difference= (2.4×10^4)× (0.12)
Potential difgerence= 2.9×10^3V
Answer: 14 m
Explanation:
This situation is related to parabolic motion, in which the motion of the dolphins has two components: x-component and y-component. Being their main equations as follows:
x-component:
(1)
(2)
Where:
is the dolphin's initial speed
is the angle
is the time since the dolphin jumps until it goes to the water surface again
is the horizontal component of the initial velocity
y-component:
(3)
(4)
(5)
Where:
is the maximum height the dolphin can reach (when )
is the velocity of the dolphin at its maximum height
is the acceleration due gravity
is the vertical component of the initial velocity
Let's begin with (3) when (straight up leap):
(6)
Finding :
(7)
Isolating from (4):
(8)
Substituting (7) and (8) in (1):
(9)
(10)
is maximum when . This means:
Hence, the maximum horizontal range the dolphin could achieve is when :
(10)
Finally: