Answer:
2.5
Explanation:
The capacitance of a parallel-plate capacitor filled with dielectric is given by

where
k is the dielectric constant
is the capacitance of the capacitor without dielectric
In this problem,
is the capacitance of the capacitor in air
is the capacitance with the dielectric inserted
Solving the equation for k, we find

Answer:
is the initial velocity of tossing the apple.
the apple should be tossed after 
Explanation:
Given:
- velocity of arrow in projectile,

- angle of projectile from the horizontal,

- distance of the point of tossing up of an apple,

<u>Now the horizontal component of velocity:</u>



<u>The vertical component of the velocity:</u>



<u>Time taken by the projectile to travel the distance of 30 m:</u>



<u>Vertical position of the projectile at this time:</u>



<u>Now this height should be the maximum height of the tossed apple where its velocity becomes zero.</u>


is the initial velocity of tossing the apple.
<u>Time taken to reach this height:</u>



<u>We observe that </u>
<u> hence the time after the launch of the projectile after which the apple should be tossed is:</u>



Answer: 
Explanation:
The Compton Shift
in wavelength when photons are scattered is given by the following equation:
(1)
Where:
is the wavelength of the scattered photon
is the wavelength of the incident photon
is a constant whose value is given by
, being
the Planck constant,
the mass of the electron and
the speed of light in vacuum.
the angle between incident phhoton and the scatered photon.
(2)
(3) This is the shift in wavelength
Hey there,
So first we need to know how much molecules are there in 4 grams of hydrogen right?
In one gram of hydrogen there are 6.0221415 multiplied by 10^25 molecules right?(this number is known as avagadors constant )
And to make one molecule of water u need two molecules of hydrogen and one of oxygen.
And oxygen is unlimited right?
So when we have 6.0221415 grams of hydrogen tow if these are required to make one water.
So divide that by two and you get 3.0110704 multiplied by 10^25.
So the answer is you can make the above number of water molecules.
Hope this helps!!!
Answer:
12 kJ
Explanation:
Given:
v₀ = 0 km/h
a = 5 km/h²
t = 30 min = 0.5 h
Find: v
v = at + v₀
v = (5 km/h²) (0.5 h) + 0 km/h
v = 2.5 km/h
v = 2.5 km/h × (1000 m/km) × (1 h / 3600 s)
v = 0.694 m/s
KE = ½ mv²
KE = ½ (50,000 kg) (0.694 m/s)²
KE = 12,000 J
KE = 12 kJ