Match the following:
1 answer:
Explanation:
1. study of conversion of heat to mechanics → thermodynamics
A branch of physical science which deals with heat and other forms of energy.
2. The Law of Conservation of Energy → first Law of Thermodynamics
Energy cannot be created nor be destroyed. According to first law of thermodynamics total energy of the system is always constant.
3. Result of applied energy → work
Work is the way of system to release its energy.
4. Principle that states that in any energy transformation some energy is dissipated as heat → Second Law of Thermodynamics
5. energy of motion → kinetic energy
Kinetic energy is defined as energy possessed by the body due to its motion.
6. work/displacement → force
Work is product of force and displacement.
7. power · time → energy
Power is defined energy per unit time.
8. Device that transforms heat energy into mechanical energy → heat engine
heat engine is a device which converts the heat energy which is released due to combustion of fuel into a useful work that is mechanical energy.
9 . Energy due to position → potential energy
Potential energy is defined as energy possessed by the body due to its position.
10. efficiency of a heat engine unit of heat → calorie
11. Measure of molecular motion → Temperature
Kinetic energy is directly proportional to temperature.
Greater the motion more will be the kinetic energy and with more will be the temperature.
12. Heat given off by a liquid with no change in temperature → latent heat of fusion
Latent heat of fusion is defined as heat released by 1 mole of substance when it under goes phase change that is from solid to liquid.
13. Motion within solids → vibrational motion
Vibrational motion is the motion in which particle oscillates from its mean position.
14. Phase of matter on the sun → plasma
Plasma is hot ionized gas with equal number of positive and negative ions. Due to high temperature of sun most the gas are in the plasma state.
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Answer:
F = 7.68 10¹¹ N, θ = 45º
Explanation:
In this exercise we ask for the net electric force. Let's start by writing the configuration of the charges, the charges of the same sign must be on the diagonal of the cube so that the net force is directed towards the interior of the cube, see in the attached numbering and sign of the charges
The net force is
F_ {net} = F₂₁ + F₂₃ + F₂₄
bold letters indicate vectors. The easiest method to solve this exercise is by using the components of each force.
let's use trigonometry
cos 45 = F₂₄ₓ / F₂₄
sin 45 = F_{24y) / F₂₄
F₂₄ₓ = F₂₄ cos 45
F_{24y} = F₂₄ sin 45
let's do the sum on each axis
X axis
Fₓ = -F₂₁ + F₂₄ₓ
Fₓ = -F₂₁₁ + F₂₄ cos 45
Y axis
F_y = - F₂₃ + F_{24y}
F_y = -F₂₃ + F₂₄ sin 45
They indicate that the magnitude of all charges is the same, therefore
F₂₁ = F₂₃
Let's use Coulomb's law
F₂₁ = k q₁ q₂ / r₁₂²
the distance between the two charges is
r = a
F₂₁ = k q² / a²
we calculate F₂₄
F₂₄ = k q₂ q₄ / r₂₄²
the distance is
r² = a² + a²
r² = 2 a²
we substitute
F₂₄ = k q² / 2 a²
we substitute in the components of the forces
Fx =
Fx = ( -1 + ½ cos 45)
F_y = k \frac{q^2}{a^2} ( -1 + ½ sin 45)
We calculate
F₀ = 9 10⁹ 4.25² / 0.440²
F₀ = 8.40 10¹¹ N
Fₓ = 8.40 10¹¹ (½ 0.707 - 1)
Fₓ = -5.43 10¹¹ N
remember cos 45 = sin 45
F_y = - 5.43 10¹¹ N
We can give the resultant force in two ways
a) F = Fₓ î + F_y ^j
F = -5.43 10¹¹ (i + j) N
b) In the form of module and angle.
For the module we use the Pythagorean theorem
F =
F = 5.43 10¹¹ √2
F = 7.68 10¹¹ N
in angle is
θ = 45º
