Answer:
E
Explanation:
Using Coulomb's law equation
Force of the charge = k qQ /d²
and E = F/ q
substitute for F
E = ( K Qq/ d² ) / q
q cancel q
E = KQ / d²
so twice the distance of the from the point charge will lead to the E ( electric field ) decrease by a 4 = E/4. E is inversely proportional to d²
Answer:
2.96 × 10^4 N
Explanation:
1 atm = 101325 N/m², pressure inside the airtight room = 1.02 atm, pressure outside due to hurricane = 0.91 atm
net pressure directed outward = P inside - P outside
net pressure = 1.02 - 0.91 = 0.11 atm
where 1 atm = 101325N/m²
0.11 atm = 0.11 × 101325 N/m² = 11145.75 N/m²
area of the square wall = l × l where l is the length of the wall in meters = 1.63 × 1.63 = 2.6569
net pressure = net force / area
make net force subject of the formula
net force = net pressure × area = 11145.75 × 2.6569 = 2.96 × 10 ^4 N
To solve this problem we will apply the concepts related to the Doppler effect. According to this concept, it is understood as the increase or decrease of the frequency of a sound wave when the source that produces it and the person who captures it move away from each other or approach each other. Mathematically this can be described as

Here,
= Original frequency
= Velocity of the observer
= Velocity of the speed
Our values are,



Using the previous equation,

Rearrange to find the velocity of the observer

Replacing we have that


Therefore the velocity of the observer is 16.2m/s
Answer:
10.09 N
Explanation:
Analogously to Newton's second law, torque can be defined as:

Here, I is the moment of inertia and
is the angular acceleration. We have:

Torque is the vector product of the position vector of the point at which the force is applied by the force vector:

Since the effective lever arm is perpendicular to the force, the angle between them is
. The magnitud of this vector product is defined as:
.
Solving for F and replacing the known values:

Mia plays soccer for her high school team. generally, they start practicing by stretching. The kind of stretching should they do before they are warmed up is Dynamic Stretching
Dynamic Stretching consists of techniques that involve active stretching to reduce force and its negative effects. Muscles are stimulated and made ready for usage during exercise by dynamic stretching.
Dynamic stretching not only stretches the muscles and tissues but also activates and warms up the muscles to get them ready for action.
We require our muscles' flexibility to maintain the range of motion in our joints, so stretching keeps them strong, flexible, and healthy. The muscles shorten and tighten without it. The muscles are then weak and unable to fully expand when you want them to work.
Learn more about dynamic stretching here
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