Answer:
Explanation:
It can be increased by: increasing the rate of rotation. Increasing the strength of the magnetic field. Increasing the number of turns on the coil.
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Most likely, the light wave will be absorbed by the wall. Without any information as to the size and color of the wall, the location and size of the hole, or the location of the light wave, this is a generalized probability problem. For all of the places the light could be, it's more likely that it hits the wall than the hole (if the hole is less than 50% of the area of the wall).
Answer:
Explanation:
Total length of the wire is 29 m.
Let the length of one piece is d and of another piece is 29 - d.
Let d is used to make a square.
And 29 - d is used to make an equilateral triangle.
(a)
Area of square = d²
Area of equilateral triangle = √3(29 - d)²/4
Total area,
![A = d^{2}+\frac{\sqrt3}{4}\left ( 29-d \right )^{2}](https://tex.z-dn.net/?f=A%20%3D%20d%5E%7B2%7D%2B%5Cfrac%7B%5Csqrt3%7D%7B4%7D%5Cleft%20%28%2029-d%20%5Cright%20%29%5E%7B2%7D)
Differentiate both sides with respect to d.
![\frac{dA}{dt}=2d- \frac{\sqrt3}{4}\times 2(29-d)](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdt%7D%3D2d-%20%5Cfrac%7B%5Csqrt3%7D%7B4%7D%5Ctimes%202%2829-d%29)
For maxima and minima, dA/dt = 0
d = 8.76 m
Differentiate again we get the
![\frac{d^{2}A}{dt^{2}}= + ve](https://tex.z-dn.net/?f=%5Cfrac%7Bd%5E%7B2%7DA%7D%7Bdt%5E%7B2%7D%7D%3D%20%2B%20ve)
(a) So, the area is maximum when the side of square is 29 m
(b) so, the area is minimum when the side of square is 8.76 m
All matter is made up of subatomic particles that contain atoms. This is false statement.
Everything in the universe is made of matter, and so, everything in the universe is made of atoms. An atom itself is made up of three tiny kinds of particles called subatomic particles: <u>protons, neutrons, and electrons</u>.
All matter is made up of substances called elements, which have specific chemical and physical properties and cannot be broken down into other substances through ordinary chemical reactions.
Matter is anything which have mass and occupy some volume.
On earth, solid, liquid, and gas are the most common states of matter. Not only is water the most common substance on earth, but it is also the only substance that commonly appears as a solid, a liquid, and a gas within the normal range of earth's temperatures.
Learn more about matter here:- brainly.com/question/16982523
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Answer:
v₃ = 5 [m/s]
Explanation:
To solve this problem we must use the definition of linear momentum, which tells us that momentum is equal to the product of mass by Velocity.
P = m*v
where:
P = linear momentum [kg*m/s]
m = mass [kg]
v = velocity [m/s]
We must also clarify that the momentum is preserved i.e. it is equal before the collision and after the collision
Pbeforecollision = Paftercollision
(m₁*v₁) + (m₂*v₂) = (m₁*v₃) + (m₂*v₄)
where:
m₁ = mass of the truck = 3000 [kg]
v₁ = velocity of the truck = 10 [m/s]
m₂ = mass of the car = 1000 [kg]
v₂ = velocity of the car before the collision = 0 (the car is parked)
v₃ = velocity of the truck after the collision [m/s]
v₄ = velocity of the car after the collision = 15 [m/s]
(3000*10) + (1000*0) = (3000*v₃) + (1000*15)
30000 = 3000*v₃ + 15000
3000*v₃ = 30000 - 15000
3000*v₃ = 15000
v₃ = 5 [m/s]