Answer:
The flashlight leaves the water at an angle of 51.77°.
Explanation:
if n1 = 1.33 is the refractive index of water and ∅1 is the angle at which the flashlight shine beneath the water, and n2 = 1.0 is the refractive index of air and ∅2 is the angle the flashlight leaves the water.
Then, according to Snell's law :
n1×sin(∅1) = n2×sin(∅2)
sin(∅2) = n1×sin(∅1)/n2
= (1.33)×sin(36.2)/(1.0)
= 0.7855055×379
∅2 = 51.77°
Therefore, the flashlight leaves the water at an angle of 51.77°.
Answer:
The magnitude of electric field is
in downward.
Explanation:
Given that,
Force 
Charge q= -2.00 μC
We know that,
Charge is negative, then the electric field in the opposite direction of the exerted force.
We need to calculate the magnitude of electric field
Using formula of electric force




Negative sign shows the opposite direction of electric force.
Hence, The magnitude of electric field is
in downward.
The SI unit of mass is the kilogram, and
the SI unit of force is the Newton.
Answer:
The concentration downstream reduces to 0.03463mg/L
Explanation:
Initially let us calculate the time it is required to fill the lake, since for that period of time the pollutant shall remain in the lake before being flushed out.
Thus the detention period is calculated as

Now the concentration of the pollutant after 14.872 days is calculated as

where
is the initial concentration
't' is the time elapsed after which the remaining concentration is calculated
k is the dissociation constant.
Applying values we get


To solve this problem we will apply the concepts related to the conservation of the Momentum. For this purpose we will define the momentum as the product between mass and velocity, and by conservation the initial momentum will be equal to the final momentum. Mathematically this is,

Here,
= Mass of Dan and Skateboard respectively
= Initial velocity of Dan and Skateboard respectively
= Final velocity of Dan and Skateboard respectively
Our values are:
Dan's mass

Mass of the skateboard

Both have the same initial velocity, then

Final velocity of Skateboard is

Rearranging to find the final velocity of Dan we have then,



Replacing,


Therefore Dan will touch the ground at a speed of 3.76m/s