Answer:
new height of ramp must be 4 times that of the first ramp.
Explanation:
From conservation of energy, we know that;
Potential energy at the top of ramp = kinetic energy at the bottom of ramp.
Thus;
mgh_t = ½mv²
m will cancel out to give;
gh_t = ½v²
Thus means that the height of the first ramp is directly proportional to the square of the speed.
Thus;
h_t ∝ v²
Now, for the new ramp, we are told that we want to achieve a speed of 2v at the bottom.
Thus;
h'_t ∝ (2v)²
h'_t ∝ 4v²
From earlier we saw that;
h_t ∝ v²
Thus;
New height of ramp is;
h'_t ∝ 4h_t
Thus, new height of ramp must be 4 times that of the first ramp.
To increase the speed to 2v at the bottom of the ramp, the height will be 4 times higher.
The given parameters;
velocity at the bottom ramp, = vlet the height of the ramp = hApply the principle of conservation of energy;
P.E = K.E
\(mgh = \frac{1}{2} mv^2\\\\gh = \frac{1}{2} v^2\\\\h = \frac{v^2}{2g}\)
To increase the speed 2v at the bottom of the ramp, the height will be;
\(H = \frac{(2v)^2}{2g} \\\\H = \frac{4v^2}{2g} \\\\H = 4(\frac{v^2}{2g} )\\\\H = 4(h)\)
Thus, to increase the speed to 2v at the bottom of the ramp, the height will be 4 times higher.
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Which lists three organic biological molecules?
O carbohydrates, salts, metals
O salts, proteins, minerals,
O proteins, lipids, carbohydrates
O lipids, metals, minerals
Answer:
B
Explanation:
I'm learning it in science.
Answer:
its not b i just took the test and b was wrong
Explanation:
If the girl skater has a mass of 30 kg and moves backward at 5 m/s, what is the velocity or the boy skater
his mass is 50 kg?
Question: Two people stand facing each other at a roller-skating rink then push off each other. If the girl skater has a mass of 30 kg and moves backward at 5 m/s, what is the velocity of the boy skater if his mass is 50 kg?
Answer:
3 m/s
Explanation:
Applying,
The Law of conservation of momentum
Momentum of the girl skater = momentum of the boy skater
MV = mv...................... Equation 1
Where M = mass of the girl skater, V = velocity of the girl skater, m = mass of the boy skater, v = velocity of the boy skater
From the question, we were asked to calculate v
v = MV/m.................. Equation 1
Given: M = 30 kg, V = 5 m/s, m = 50 kg
Substitute these values into equation 1
v = (30×5)/50
v = 3 m/s
Hence the velocity of the the boy skater is 3m/s
According to Ohm’s law, which combination of units is the same as the unit for resistance? volt ÷ ampere ampere × volt volt + ampere ampere ÷ volt
Answer:
volt ÷ ampere
Explanation:
The mathematical form of Ohms law is given by :
V = IR
Where V is voltage
I is current
R is resistance
\(R=\dfrac{V}{I}\)
The unit of voltage is volt and that of current is ampere
Unit of resistance :
\(R=\dfrac{\text{volt}}{\text{ampere}}\)
So, volt ÷ ampere is the same as the unit of resistance. Hence, the correct option is (a).
Answer:
The answer is: volt ÷ ampere
Explanation:
Hope this helps. :)
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A block m1 rests on a frictionless surface. A second block m2 sits on top of the first block. Here m1 = m2 = m. A horizontal force F is applied to the bottom block to pull it to the right as shown below. Assume that the blocks move together across the surface (block m2 does not slide off of block m1).
A block resting on a frictionless surface experiences a horizontal force that pulls another block atop it to the right, where the two blocks travel in tandem without slamming.
How much static friction is there between the upper and bottom blocks?Response and justification The higher block's acceleration is also equal to 3 m/s2 because there is no relative motion between the upper and lower blocks.
What is the static friction coefficient between block A and a flat floor?Block A and a level floor have a static friction coefficient of 0.45, while Block B has a static friction coefficient of 0.30. Each brick weighs 2.0 kg.
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If the mass m of the wrecking ball is 3920 kg , what is the tension TB in the cable that makes an angle of 40 ∘ with the vertical? What is the tension TA in the horizontal cable?
The tension TB in the cable makes an angle of 40 ∘ and the tension TA in the horizontal cable
TB=49380.9NTA=31741.4NThis is further explained below.
What is tension?Generally, To represent tension in a vertical direction, the term is:
\(T_B=\frac{m g}{\cos \theta}\)
Substitute $3860kg for m, 9.8m/s^2 for g, and 40^0 for \(\theta\).
\(T_B &=\frac{(3860 \mathrm{~kg})\left(9.8 \mathrm{~m} / \mathrm{s}^2\right)}{\cos 40^{\circ}} \\\)
=49380.9N
Because the cosine of the tension in the cable, which is pushing up on the item, is equal to the weight force, which is pressing down on the ground, the ball is not moving and is thus in equilibrium.
The expression for the horizontal cable tension is,
\(T_A=T_B \sin \theta\)
Substitute $49380.9N for T_B and $40^o for \(\theta\)
\(T_A &=(49380.9 \mathrm{~N}) \sin 40^{\circ}\)
=31741.4N
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Which bibliographic description for a book is correct, based on the Harvard Method in your study guide?
An annotated bibliography is a list of citations to books, articles, and documents. Each citation is followed by a brief descriptive and evaluative paragraph, the annotation. The purpose of the annotation is to inform the reader of the relevance, accuracy, and quality of the sources cited.
The cue column is typically located on the left-hand side of the page and is used to jot down keywords or questions that serve as cues for recalling the main points of the lecture or reading. The note-taking area is located on the right-hand side of the page and is used to write down detailed notes about the lecture or reading.
The summary section is located at the bottom of the page and is used to summarize the key points of the notes. Overall, the Cornell method is an effective way to organize and retain information during lectures and readings.
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Rahim and john were two friends. once rahim went to visit the new house of john . to expel hot air out of the kitchen, john fitted an exhaust fan on his kitchen window. by seeing this , rahim said to john that an exhaust fan should place on the wall near his kitchen ceiling. otherwise, the exhaust fan will not expel the hot air more effectively.
(a). is rahim right or wrong ? why?
(b). how a vantilator works in circulating fresh air in the room?
Answer soon as possible
Answer:
i don't know how to explain it but I think it's just the way you do it by yourself
The highness or lowness of a sound is perceived as
a.
compression.
c.
ultrasound.
b.
wavelength.
d.
pitch.
Answer:
i think its D
Explanation:
Answer:
The highness or lowness of a sound is perceived as pitch. Pitch is a perceptual property of sound that allows us to distinguish between sounds that have the same loudness and duration, but differ in their frequency content. The pitch of a sound is determined by the frequency of the sound wave, with higher frequencies producing higher pitches and lower frequencies producing lower pitches. The pitch is what makes a sound distinguishable and is important in music, language, and communication.
A person standing at the edge of a seaside cliff kicks a rock horizontally of the cliff from a
height of 52 m and it lands a distance of 35 m from the base of the cliff. What is the speed at
which the rock was initially kicked?
The time will be the same for both horizontal and vertical component. The initial speed is 10.7 m/s
What is Speed ?Speed is a distance travel per time taken. It is a scalar quantity and it is measured in m/s
Given that a person standing at the edge of a seaside cliff kicks a rock horizontally of the cliff from a height of 52 m and it lands a distance of 35 m from the base of the cliff.
The rock will move vertically downward with initial velocity = 0. The time taken will be constant. That is, same horizontally.
Let us first calculate the time by using the formula
h = ut + 1/2gt²
Where
h = 52 mu = 0Range R = 35 mg = 9.8 m/s²Substitute all the necessary parameters into the formula
52 = 0 + 1/2 × 9.8 × t²
52 = 4.9t²
t² = 52/4.9
t² = 10.6
t = √10.6
t = 3.26 s
The speed at which the rock was initially kicked can be found by
R = Ut
35 = U × 3.26
U = 35/3.26
U = 10.7 m/s
Therefore, rock was initially kicked at a speed of 10.7 m/s
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A motorcycle traveling south reaches a speed of 38.0 m/s. It then begins uniform negative acceleration and comes to rest after 7.359s. How far did the motorcycle travel in this time?
Answer: 30.641
Explanation: If you get the ave which is 38.0 then the vi which is 7.359
38.0-7.359=30.641/0.0 which is 30.641
A dry cell gives static electricity true or false?
Answer:
False
Explanation:
The gravitational force Asteroid A experiences is the gravitational force Asteroid C experiences
Answer:
The gravitational force Asteroid A experiences is greater than the gravitational force Asteroid C experiences
PLEASE ANSWER FOR EASY POINTS (100) :>
Answer:
patterns i think
Explanation:
Answer:
Is patterns
Explanation:
7. 100 Joules of work was done to move an object with a force of 15 N. How far did the
object move?
Answer:Distance=6.67 (rounded)
Explanation: Work = Force x Distance.
100 Joules of work= force of 15 N x Distance (?)
The work equation given above can be rearranged to find force or distance if the other variables are known:
Distance=Work / force
Distance=100Joules/15 N
Distance=6.67 (rounded)
A(n) _____ is described as a closed loop or pathway that allows electric charges to flow.electric circuitconventional currentparallel connectionseries connection
Based on the definition of an electric circuit, you can conclude:
An electric circuit is described as a closed loop or pathway that allows electric charges to flow.
A converging lens with a focal length of 40 cm and a diverging lens with a focal length of -40 cm are 160 cm apart. A 2.5 cm-tall object is 60 cm in front of the converging lens.
Calculate the image position. cm in front of the second lens.
Calculate the image height.
1.25 cm is the height of the image. 160 cm separates a converging lens with such a 40 cm focal length from a diverging lens with the a -40 cm focal length. The converging lens is 60 cm away from a 2.5 cm tall item.
What does a converging or diverging lens mean?A lens that conforms a parallel source beam of light is known as a converging lens. One kind of converging lens is a double convex lens. Converging Lens A lens that separates a parallel light beam is known as a diverging lens. Diverging lenses include those that are double concave.
For the diverging lens, this image height corresponds to object height. We obtain h ′D=(20cm40cm)(5.0cm)=1.25cm again for diverging lens as a result.
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In the diagram, the amplitude of the wave is shown by:
A
B
C
D
Answer:
A.
Explanation:
Amplitude measures how much a wave rises or falls. This is illustrated by A.
In the diagram, the amplitude of the wave is shown by A.
What is Amplitude?The amplitude of a periodic variable is a measure of its change in a single period. The amplitude of a non-periodic signal is its magnitude compared with a reference value.There are various definitions of amplitude, which are all functions of the magnitude of the differences between the variable's extreme values.
The amplitude of a variable is simply a measure of change relative to its central position. In contrast, magnitude is a measure of the distance or quantity of a variable irrespective of its direction.
Amplitude is a property that is unique to waves and oscillations.
Therefore, in the diagram, the amplitude of a wave is shown by A.
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Convert 50km/hr into m/s using dimensional analysis?
Answer:
Explanation:
1 km=1000 m
1 hour =60 min =60*60 sec=3600 sec
Now put 1000 m instead of km and 3600 sec instead of hour in the given expression.
=50 km/hour
=50*1000 m/3600 sec
=500 m/36 sec
=13.89 m/s
Answer:
= 13.89 m/s
Explanation:
km 1000 m 1 hr
50 ----- x ---------- x ------------
hr 1 km 3600 secs
= 13.89 m/s
A standard baseball has a circumference of apoximately 23cm. If a baseball had the same mass per unit volume as a neutron or a proton, about what woul its mass be?
Baseball, neutrons, and protons are all perfect spheres.
Circumference of the baseball, \($L_{\text {ball }}=23 \mathrm{~cm}$\).
mass of the proton or neutron, \($m_{\mathrm{p}}=10^{-27} \mathrm{~kg}$\)
diameter of the proton or neutron, \($r_{0}=10^{-15} \mathrm{~m}$\)
Mass per unit volume is the definition of a material's density. The density equation is
\($$\rho=\frac{M}{V} .$$\)
Here, M is the mass of the material, V is the volume, and \($\rho$\) is the density of the material.
We know that formula for the volume of a sphere having diameter d is \(V=\frac{\pi d^{3}}{6}$.\)
You may obtain this result by plugging this number into the proton/neutron density equation:
\($$\rho_{0}=\frac{m_{0}}{\left(\frac{\pi d_{0}^{3}}{6}\right)}$$\)
By replacing the variables in the aforementioned equation with their values, you will obtain
\($$\begin{aligned}\rho_{\circ} &=\frac{10^{-27}}{\left(\frac{\pi\left(10^{-15}\right)^{3}}{6}\right)} \\&=1.91 \times 10^{18} \mathrm{kgm}^{-3}\end{aligned}$$\)
The formula for calculating a circle's circumference with diameter d is \(L=\pi d$.\)
Using this, you get the diameter of the baseball:
\($$\begin{aligned}d_{\text {ball }} &=\frac{L_{\text {ball }}}{\pi} \\&=\frac{23}{\pi} \\&=7.32 \mathrm{~cm} \\&=0.0732 \mathrm{~m}\end{aligned}$$\)
The volume of the baseball may be calculated using the formula for the volume of a sphere:
\($$\begin{aligned}V_{\text {ball }} &=\frac{\pi d_{\text {ball }}^{3}}{6} \\&=\frac{\pi \times(0.0732)^{3}}{6} \\&=2.054 \times 10^{-4} \mathrm{~m}^{3}\end{aligned}$$\)
The mass of the baseball is determined by the concept of density if you suppose that its density is equal to that of a proton or neutron.
\($m_{\text {ball }}=\rho_{\circ} \cdot V_{\text {ball }}$\)
Here, \($\rho_{\circ}$\) is the density of the proton/neutron.
By replacing the variables in the aforementioned equation with their values, you will obtain
\($$\begin{aligned}m_{\text {ball }} &=\left(1.91 \times 10^{18}\right) \cdot\left(2.054 \times 10^{-4}\right) \\&=3.92 \times 10^{14} \mathrm{~kg}\end{aligned}$$\)
Therefore, if the density of the baseball was equal to that of the neutron/proton, then its mass would be \(3.92 \times 10^{14} \mathrm{~kg}$.\)
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if a constant force of 917 N is exerted on a scooter for 6s, then what is the change in momentum
Answer:
5502 kg m/s
Explanation:
Force = mass x (velocity/time)
Force = (mass x velocity)/time
Force = momentum/time
Let’s calculate change in momentum:
p/6 = 917N
p = 5502 kg m/s
Hence, we got the change in momentum.
Hope it helps! :)
two point charges are 3.0 cm apart and have values of 28.0x10−6 C and -17.0x10−6 C , respectively. What is the electric field at the midpoint between the two charges?
The electric field at the midpoint between the two charges is determined as + 4.4 x 10⁸ N/C.
What is the electric field at the midpoint?The electric field at the midpoint between the two charges is calculated as follows;
E = F/Q
E = kQ/r²
where;
k is the coulomb's constantQ is the magnitude of the charger is the distance between the two chargesThe distance at midpoint between the charges is calculated as follows;
d = r/2 = 3 cm / 2 = 1.5 cm = 0.015 m
E = E₁ + E₂
E = ( 28 x 10⁻⁶ x 9 x 10⁹ )/(0.015²) + (-17 x 10⁻⁶ x 9 x 10⁹ ) / ( 0.015² )
E = 1.12 x 10⁹ - 6.8 x 10⁸
E = 4.4 x 10⁸ N/C
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Why the circulatory system of a grasshopper does not need to carry gases to and from the grasshopper cells
Answer:
Explanation:
In vertebrates, the circulatory system is responsible for transporting oxygen to all the tissues and removing carbon dioxide from them. ... In the grasshopper, exchange of oxygen and carbon dioxide occurs in the tracheal system. Hemolymph plays no part in the process.
A cylindrical water tank open to the atmosphere, 10 m tall and 6 m in diameter, is mounted with its base 25 m above ground level, and filled with water. Calculate a) the water pressure and force at the base of the tank?
The water pressure at the base is 98,000 Pa, and the force exerted at the base of the tank is 2,768,460 N.
To find the water pressure at the base of the tank, take the formula:
Pressure = density × gravity × height
In which
Density = density of water (1000 kg/m³)
Gravity = acceleration due to gravity (9.8 m/s²)
Height = height of the column
According to question:
Height of the water column = 10 m
Take the formula:
P = 1000 kg/m³ × 9.8 m/s² × 10 m
= 98,000 Pa
To find the force at the base of the tank, take the formula:
Force = Pressure × Area
In which
Pressure = pressure at the base of the tank
Area = base area of the tank
The base area of a cylindrical tank can be found by the formula:
Area = π × r²
In which:
Diameter of the tank = 6 m
To find the radius, divide the diameter by 2:
Radius = 6 m ÷ 2
= 3 m
Put the values into the formula:
Area = π × (3 m)²
= 28.27 m²
Now, find the force:
Force = 98,000 Pa × 28.27 m²
= 2,768,460 N
Thus, the water pressure at the base is 98,000 Pa, and the force exerted at the base of the tank is 2,768,460 N.
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While an object is in projectile motion (with upward being positive) with no air resistance.
Its vertical acceleration is equal to -g, while the horizontal component of its velocity is unchanged.
This is due to the projectile's dual components of vertical and horizontal velocities. But when the item moves, its vertical component of velocity changes but its horizontal component does not.
The projectile's horizontal component of velocity remains constant, therefore it only has a vertical component of acceleration and no horizontal component. The horizontal component of velocity remains unchanged as a result.
Since the only vertical force acting on the object is the weight, the vertical component of acceleration is equal to -g.
Therefore, the vertical component of its acceleration is equal to -g, while the horizontal component of its velocity remains constant.
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the diameter of a human blood cell is 0.0000062 m. what can this number best be expressed in scientific notation
Answer:\(d=6.2\times 10^{-6}\ m\)
Explanation:
Given that,
The diameter of a human blood cell is 0.0000062 m. We need to express in scientific notation.
Any no can be written in scientific notation as follows :
\(N=n\times 10^m\)
n and m are real no and integer respectively
0.0000062 has 5 zeroes before 6. It means its scientific notation is as follows :
\(d=6.2\times 10^{-6}\ m\)
A 4 kilogram (kg) toy car accelerates from 3.0 meters per second (m/s) to 8.0 meters per second. What is the change in the cart's momentum?
Answer:
20 kg*m/s
Explanation:
we're looking for the change in the cars momentum . the formula to identify the cars momentum is Δp=m*vf-m*vi . In this case m= mass , vf= velocity final, and vi= velocity initial . The mass is how much the car weighs , which is 4 kg . Velocity final would be 8 m/s since that's how fast it last was . Velocity initial would be 3 m/s since it had first started at that speed . Now we can jus plug it into the formula .
m= 4 kg
vf= 8 m/s
vi= 3 m/s
Δp= (4)*(8) - (4)*(3)
Δp= 32-12
Δp= 20 kg*m/s
hope this helps .
as with the own-wage elasticity of demand for labor, the elasticity of supply of labor can be similarly classified. the elasticity of supply of labor is elastic if elasticity is greater than 1. it is inelastic if the elasticity is less than 1, and it is unitary elastic if the elasticity of supply equals 1. for each of the following occupations, calculate the elasticity of supply and state whether the supply of labor is elastic, inelastic, or unitary elastic. es and w are the original supply of workers and wage. and are the new supply of workers and wage.
The elasticity of supply of labor varies among occupations. The supply of labor is elastic for occupations (a) and (b) and inelastic for occupations (c).
The elasticity of the supply of labor is an important concept that measures the responsiveness of the quantity of labor supplied to changes in the wage rate. An occupation's supply of labor is said to be elastic if its elasticity is greater than 1, inelastic if the elasticity is less than 1, and unitary elastic if the elasticity of supply equals 1. Let's calculate the elasticity of supply for the following occupations and determine whether the supply of labor is elastic, inelastic, or unitary elastic.
a. %ΔES = 7, %ΔW = 3
The formula for the elasticity of supply is (% change in quantity supplied / % change in wage). Therefore, the elasticity of supply for this occupation would be:
Elasticity of supply = (7% / 3%) = 2.33
Since the elasticity of supply is greater than 1, the supply of labor is elastic.
b. ES = 120, W = $8
E’S = 90, W’ = $6
The formula for the elasticity of supply is ((% change in quantity supplied) / (% change in wage)). Therefore, the elasticity of supply for this occupation would be:
Elasticity of supply = ((90 - 120) / ((90 + 120) / 2)) / ((6 - 8) / ((6 + 8) / 2))
The elasticity of supply = (-30 / 105) / (-2 / 7)
Elasticity of supply = 2.00
Since the elasticity of supply is greater than 1, the supply of labor is elastic.
c. ES = 100, W = $5
E’S = 120, W’= $7
The formula for the elasticity of supply is ((% change in quantity supplied) / (% change in wage)). Therefore, the elasticity of supply for this occupation would be:
Elasticity of supply = ((120 - 100) / ((120 + 100) / 2)) / ((7 - 5) / ((7 + 5) / 2))
The elasticity of supply = (20 / 110) / (2 / 6)
Elasticity of supply = 0.81
Since the elasticity of supply is less than 1, the supply of labor is inelastic. The elasticity of supply is a critical concept in labor economics and helps us understand how changes in wage rates affect the quantity of labor supplied in different occupations.
Complete question:
As with the own-wage elasticity of demand for labor, the elasticity of supply of labor can be similarly classified. The elasticity of the supply of labor is elastic if the elasticity is greater than 1. It is inelastic if the elasticity is less than 1, and it is unitary elastic if the elasticity of supply equals 1. For each of the following occupations, calculate the elasticity of supply, and state whether the supply of labor is elastic, inelastic, or unitary elastic. E’s and W’ are the original supply of workers and wages. and are the new supply of workers and wages.
a %ΔES = 7, %ΔW = 3
b. ES = 120, W = $8
E’S = 90, W’ = $6
c. ES = 100, W = $5
E’S = 120, W’= $7
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A firetruck drive 3 miles to the east and 1.2 miles to the west what is the displacement of the firetruck
1. A block with mass 20 kg is
sliding up a plane (Ukinetic=0.3,
inclined at 10°) at a speed of
2 m/s to the right (positive
X-direction). How far does it
go up along the plane before
it comes to rest momentarily?
Answer: 0.435 m
Explanation:
Given
mass m=20 kg
initial speed u=2 m/s
coefficient of kinetic friction \(\mu_k=0.3\)
deceleration which opposes the motion is given by
\(\Rightarrow a=g\sin \theta+\mu_kg\cos \theta\\\Rightarrow a=g(\sin \theta +\mu_k\cos \theta)\)
\(\Rightarrow a=9.8(\sin 10^{\circ}+0.3\times \cos 10^{\circ})\\\Rightarrow a=4.59\ m/s^2\)
using \(v^2-u^2=2as\)
\(\Rightarrow s=\dfrac{2^2}{2\times 4.59}=0.435\ m\)
The first law of thermodynamics (which states that energy is conserved) does not specify the direction in which thermodynamic processes in nature can spontaneously occur.
a. True
b. False
Answer:
a. True
Explanation:
The law of conservation of Energy states that energy cannot be destroyed but can only be converted or transformed from one form to another. Therefore, the sum of the initial kinetic energy and potential energy is equal to the sum of the final kinetic energy and potential energy.
Mathematically, it is given by the formula;
Ki + Ui = Kf + Uf .......equation 1
Where;
Ki and Kf are the initial and final kinetic energy respectively.
Ui and Uf are the initial and final potential energy respectively.
The First Law of Thermodynamics is another way to describe the Law of Conservation of Energy. Typically, the First Law of Thermodynamics states that the change of internal energy of a system is equal to the sum of external work and heat spent on the system.
Mathematically, the First Law of Thermodynamics is given by the formula;
ΔU = Q − W
Where;
ΔU represents the change in internal energy of a system.
Q represents the net heat transfer in and out of the system.
W represents the sum of work (net work) done on or by the system.
Hence, the direction in which any thermodynamic process in nature can spontaneously occur isn't stated by the First Law of Thermodynamics.