The horizontal distance covered by the ball is 75.8 m
Explanation:
The motion of the ball in this problem is a projectile motion, so it follows a parabolic path which consists of two independent motions:
- A uniform motion (constant velocity) along the horizontal direction
- An accelerated motion with constant acceleration (acceleration of gravity) in the vertical direction
First of all, we consider the vertical motion to find the time of flight of the ball. Using the suvat equation:
[tex]s=ut+\frac{1}{2}gt^2[/tex]
where
s = 45 m is the vertical displacement of the ball
t is the time of flight
u = 0 is the initial vertical velocity of the ball
[tex]g=9.8 m/s^2[/tex] is the acceleration of gravity
Solving for t,
[tex]t=\sqrt{\frac{2s}{g}}=\sqrt{\frac{2(45)}{9.8}}=3.03 s[/tex]
Now we know that the ball moves horizontally with a constant velocity of
[tex]v_x = 25 m/s[/tex]
So, the horizontal distance covered by the ball during its flight is
[tex]d=v_x t = (25)(3.03)=75.8 m[/tex]
So the ball lands 75.8 m far from the base of the cliff.
Learn more about projectile motion:
brainly.com/question/8751410
#LearnwithBrainly
The ball hits the ground approximately 75.30 meters away from the base of the cliff.
Explanation:
Since the baseball is thrown horizontally, the initial vertical velocity will be zero. The time it takes for the ball to fall can be found using the equation h = (gt^2)/2, where h is the vertical displacement and g is the acceleration due to gravity. Plugging in the values, we get t = sqrt(2h/g). The horizontal distance can be found using the equation d = v*t, where d is the distance and v is the horizontal velocity. Plugging in the values, we get d = v*t. Calculating the values, t = sqrt(2*45/9.8) = 3.01 seconds and d = 25 * 3.01 = 75.30 meters.
Learn more about Projectile Motion here:https://brainly.com/question/20627626
#SPJ3
Convert an absolute pressure of 6.31 ✕ 105 N/m2 to gauge pressure in lb/in2
Answer:
The gauge pressure is = 91.52 lb/in²
Explanation:
Given data,
The value of pressure in S.I unit, = 6.31 x 10⁵ N/m²
The conversion formula for SI unit into US Customary Units is given by,
1 N/m² = 1.45 x 10⁻⁴ lb/in²
Using the conversion formula, the new value of pressure becomes,
Pressure = 6.31 x 10⁵ X 1.45 x 10⁻⁴ lb/in²
= 91.52 lb/in²
Hence, the gauge pressure is, ς = 91.52 lb/in²
To convert the absolute pressure of 6.31 × 10^5 N/m² to gauge pressure in lb/in², subtract the atmospheric pressure from the absolute pressure and then convert the gauge pressure from N/m² to lb/in² using the conversion factor. Therefore, the gauge pressure is approximately 76.8 lb/in.².
Explanation:To convert the absolute pressure of 6.31 × 10^5 N/m² to gauge pressure in lb/in², we can use the conversion factor of 1 lb/in.² = 6.90 × 10³ N/m². First, we'll calculate the gauge pressure in N/m² by subtracting the atmospheric pressure (which is 1 atm) from the absolute pressure:
Gauge Pressure = Absolute Pressure - Atmospheric PressureGauge Pressure = 6.31 × 10^5 N/m² - (1.013 × 10^5 N/m²)Gauge Pressure = 5.3 × 10^5 N/m²Next, we'll convert the gauge pressure from N/m² to lb/in²:
Gauge Pressure in lb/in.² = Gauge Pressure in N/m² × Conversion FactorGauge Pressure in lb/in.² = (5.3 × 10^5 N/m²) × (1 lb/in.²/6.90 × 10³ N/m²)Gauge Pressure in lb/in.² ≈ 76.8 lb/in.²Therefore, the gauge pressure is approximately 76.8 lb/in.²
what is the role of a generator in producing electricity
Answer:
It stores electrical energy for later
Explanation:
Answer:
The generator transforms the mechanical energy of the turbine into electrical energy.
Explanation:
A person absentmindedly walks off the edge of a tall cliff. They will fall 50 m into either
deadly rocks or a safe lake below the cliff. The lake is 12 meters away from the edge of
the cliff
If the person walks off the cliff at a constant velocity of 3.8 m/s.
will they survive? (yes or no) How far did they go?
The man can survive, and he lands 12.1 m from the base of the cliff (into the lake)
Explanation:
The motion of the person is equivalent to the motion of a projectile, which consists of two separate motions:
- A uniform motion (constant velocity) along the horizontal direction
- An accelerated motion with constant acceleration (acceleration of gravity) in the vertical direction
We start by analyzing the vertical motion, to find the time it take for the person to reach the ground level. We can use the following suvat equation:
[tex]s=ut+\frac{1}{2}gt^2[/tex]
where
s = 50 m is the vertical distance covered (the height of the cliff)
u = 0 is the initial vertical velocity
[tex]g=9.8 m/s^2[/tex] is the acceleration of gravity
t is the time of flight
Solving for t,
[tex]t=\sqrt{\frac{2s}{g}}=\sqrt{\frac{2(50)}{9.8}}=3.19 s[/tex]
The person moved horizontally at a constant speed of
[tex]v_x = 3.8 m/s[/tex]
So, the horizontal distance covered by the man during his flight will be
[tex]d_x = v_x t = (3.8)(3.19)=12.1 m[/tex]
So, the man will land on the lake (which starts from 12 m), so he can survive.
Learn more about projectile motion:
brainly.com/question/8751410
#LearnwithBrainly
A point from which the position of other objects can be described is called what?
Question 4 options:
reference point
motion point
rotational point
Answer:
Reference Point
Explanation:
Which statements describe ocean currents?
Answer:
Answer: •Currents occur at the surface of and deep within the ocean.
•The Coriolis effect contributes to the direction of current flow.
•Wind direction, the spin of Earth, and differences in temperature
Explanation:
which region is colored orange in the periodic table
Answer:
Alkali Metals
Explanation:
Most commonly, the color represents what type of element it is (noble gas, alkali metal). This is not always true as different tables follow different coloring schemes
Colored tables are important because they give you an extra dimension of information. A typical periodic table is colored according to element groups, which are elements that share chemical and physical properties. Some element groups are easily identified as columns on the periodic table, but as you move across the table, the trends aren't so clear-cut. The metalloids and nonmetals, for example, don't fall neatly into the same column. Color coding helps identify similar elements such as these at a glance.
Final answer:
The orange region on a color-coded periodic table usually represents the f block, including lanthanides and actinides.
Explanation:
In the context of various color-coded periodic tables, the orange region typically represents the f block elements. An example can be found in an empty periodic table, separated into different colored blocks, where the s block is blue, the d block is green, the p block is red, and the f block is orange.
The f block includes lanthanides and actinides, which are typically shown at the bottom of the Periodic Table. These elements are known for their complex electronic configurations and are also referred to as inner transition metals.
show that the centre of a rod of mass M and length L lies midway between the ends assuming that the rod has uniform cross section per unit length
Explanation:
The cross section per unit length is uniform, so ρ is constant.
The center of mass is therefore:
x_avg = (∫₀ᴸ x ρ dL) / (∫₀ᴸ ρ dL)
x_avg = (∫₀ᴸ x dL) / (∫₀ᴸ dL)
x_avg = (½ L²) / (L)
x_avg = ½ L
What is the frequency of this wave? 1234
Answer:
The frequency of the wave is, f = 1 Hz
Explanation:
The half-wavelength of the wave can be found from the successive compression or rarefaction.
This is equal to the successive crest or trough.
The one wavelength is the wave that completes one cycle of vibration.
Therefore, the frequency of the wavelength is defined as the number of such vibrations per second. It is given by the formula
f = 1 /T or v/λ ( v - velocity of the wave)
= 1 / 1
= 1 Hz.
The unit of frequency is Hertz.
Answer:
Explanation:
In the above mentioned diagram it is shown that 2 compressions and 2 rarefactions are passing through a point in 1 second. Since a longitudinal wave is composed of 1 compression and 1 rarefaction therefore the frequency of the given wave is 2 Hz.
HELP PLEASE I NEED ANSWER ASAP!!! THANK YOU (ps sorry if i put the wrong subject)
Based on what you have learned, write two or three sentences explaining how the energy in fossil fuels is converted to electricity.
The sample answer from Edge 2020 is Fossil fuels are burned to heat water and create steam. Moving steam turns turbines, which generate electricity.
(For those who don't want to paraphrase the other answer)
(Their answer is also copied word for word from lenntech . com which is against community guidelines)
Answer:
i will give you the sample answer and the answer i put..
sample answer: Fossil fuels are burned to heat water and create steam. Moving steam turns turbines, which generate electricity.
my answer: by burning fossil fuels the energy of the fossil fuels will be converted to mechanical energy by turbines. then electric generators will change this energy to electricity
Explanation:
a 3 kg piece of putty that is moving with a velocity of 10 m/s collides and sticks to an 8 kg bowling ball that was at rest. what is their velocity as they roll away together
The final velocity is 2.7 m/s
Explanation:
We can solve this problem by using the principle of conservation of momentum: in fact, in absence of external forces, the total momentum of the system must be conserved before and after the collision.
Therefore we can write:
[tex]p_i = p_f\\m_1 u_1 + m_2 u_2 = (m_1+m_2)v[/tex]
where:
[tex]m_1 = 3 kg[/tex] is the mass of the putty
[tex]u_1 = 10 m/s[/tex] is the initial velocity of the putty (we take its direction as positive direction)
[tex]m_2 = 8 kg[/tex] is the mass of the ball
[tex]u_2 = 0 m/s[/tex] is the initial velocity of the ball (at rest)
[tex]v[/tex] is the final combined velocity of the two putty+ball
Re-arranging the equation and substituting the values, we find the final combined velocity:
[tex]v=\frac{m_1 u_1 + m_2 u_2}{m_1+m_2}=\frac{(3)(10)+0}{3+8}=2.7 m/s[/tex]
And the positive sign indicates their final direction is the same as the initial direction of the putty.
Learn more about momentum here:
brainly.com/question/7973509
brainly.com/question/6573742
brainly.com/question/2370982
brainly.com/question/9484203
#LearnwithBrainly
PLZZZZZ ANSWER Which example describes a nonrenewable resource?
Everyone in our neighborhood uses solar panels to generate electricity to run their pool pumps.
Once up and running, the power plant will convert the energy from tides and waves into electricity.
There is a long stretch of land in the desert with many windmills that are able to generate enough electricity to run the town.
There are drilling platforms all along the coast that are used to drill for natural gas that can be used to generate electricity.
Answer:
I believe that the answer is D. There are drilling platforms all along the coast that are used to drill for natural gas that can be used to generate electricity.
Explanation:
Solar panels use the sun, and that is renewable.
The power plant uses tides and waves, they are renewable.
Windmills use wind, that is renewable.
So, the answer is D.
Answer:
D. There are drilling platforms all along the coast that are used to drill for natural gas that can be used to generate electricity.
An electron confined on one-dimensional infinite potential well has an energy of 180ev. What its wavelength?
The wavelength is 91.5 pm ( 91.5 Pico meter).
Explanation:
The formula can be expressed below for electron’s energy,
[tex]\text {Energy of electron}=\frac{p^{2}}{2 m}[/tex]
Where,
p = momentum
m= mass of electron
We know, mass of electron = [tex]9.1 \times 10^{-31} \mathrm{kg}[/tex]
Energy of electron, [tex]1 e V=1.6 \times 10^{-19} \mathrm{J}[/tex]
Therefore, [tex]\text { energy of electron, 180 eV }=180 \times 1.6 \times 10^{-19} J[/tex]
By substituting the known values in the equation, we get,
[tex]180 \times 1.6 \times 10^{-19}=\frac{p^{2}}{2 \times 9.1 \times 10^{-31}}[/tex]
[tex]p^{2}=180 \times 1.6 \times 10^{-19} \times 2 \times 9.1 \times 10^{-31}[/tex]
[tex]p^{2}=5241.6 \times 10^{-50}[/tex]
Taking square root, we get
[tex]\text {Momentum, } p=72.399 \times 10^{-25} \mathrm{kg} . \mathrm{m} / \mathrm{s}[/tex]
We know,
[tex]\lambda=\frac{h}{p}[/tex]
Here, h – Planck constant = [tex]6.626 \times 10^{-34} \mathrm{J.s}[/tex]
So, the wavelength would be,
[tex]\lambda=\frac{6.626 \times 10^{-34}}{72.399 \times 10^{-25}}=0.0915 \times 10^{-34+25}=0.0915 \times 10^{-9} \mathrm{m}[/tex]
Adding [tex]10^{-3}[/tex] in both numerator and denominator we get the value as
[tex]\lambda=0.0915 \times 10^{-9} \times \frac{10^{-3}}{10^{-3}}=0.0915 \times 10^{3} \times 10^{-12}=91.5 \mathrm{pm}[/tex]
Where, pm – Pico meter - [tex]10^{-12}[/tex]
A force F~ = Fx ˆı + Fy ˆ acts on a particle that
undergoes a displacement of ~s = sx ˆı + sy ˆ
where Fx = 7 N, Fy = −1 N, sx = 3 m, and
sy = 3 m.
Find the work done by the force on the
particle.
Answer in units of J.
Find the angle between F~ and ~s.
Answer in units of ◦
Answer: Work done is 18J
Explanation:
Force F = (Fx, Fy) and Displacement S = (Sx,Sy)
Fx=7N
Fy=-1N
Sx=3m
Sy=3m
F=(7,-1)N and S=(3,3)m
Work done is calculated by taking dot product of force and displacement vector
W=F·S
W=7×3 + (-1)×3
W=21+(-3)=18J
Answer:
18 and 35 degrees
Explanation:
Mathew, a farmer, cultivates monocultures of wheat. What negative effect will monoculture farming have on Mathew’s land? A. crop productivity will decrease B. greenhouse gases will generated C. nutrients will not be recycled back into the soil D. it will cause water pollution
Answer:
Mathew, a farmer, cultivates monocultures of wheat. The negative effect that the monoculture farming have on Mathew’s land will be C. nutrients will not be recycled into the soil.
Explanation:
Monoculture farming is the practice of cultivating a single species of crop or plant at a time on farm. Growing the same crop again on the same land yearly destroys the nutrient of soil. It destroy the quality of soil and made farmers use more fertilizers.
The quality of the crop is degraded as it will not get the essential nutrients. But this practice is very popular as it increases the productivity of a particular species of crops. So by using this method, mathew will get these disadvantages.
Other options are incorrect as this practice will not cause water pollution. Neither it would produce greenhouse gases, nor it would decrease crop productivity.
Answer:
nutrients will not be recycled back into the soil
Explanation:
Plato :)
How does a rotating coil inside a magnetic field generate electricity?
The rotating coil allows a different amount of magnetic field lines through the loop while it spins. This means the magnetic field is changing, which induces an electric current.
The rotating coil changes the electric field as it spins. A changing electric field generates a magnetic field, which induces an electric current.
The rotating coil allows the same amount of magnetic field lines through the loop while it spins. This means the magnetic field is constant, which induces an electric current.
The rotating coil maintains a constant electric field as it spins. A constant electric field generates a changing magnetic field, which induces an electric current.
Answer:option A is correct.
Explanation:Because in option C :magnetic field is constant.
Option D:Because in option D,electric field is constant.
Because constant electric and magnetic fields cannot produce electric current.
Option B:A changing electric field cannot produce magnetic field.
Option A:Because a changing magnetic field can produce electric current.
A rotating coil in a magnetic field generates electricity by electromagnetic induction, where a changing magnetic field within the coil induces an electric current.
Explanation:A rotating coil inside a magnetic field generates electricity through a process known as electromagnetic induction. This principle is based on Faraday's Law of Electromagnetic Induction that states a changing magnetic field within a conductive loop induces an electromotive force. As the coil rotates, it cuts across magnetic field lines, inducing a voltage change. The variation in the magnetic field induces an electric current in the coil. This process is the basic working principle behind many electrical generators and motors.
Learn more about Electromagnetic Induction here:https://brainly.com/question/32444953
#SPJ2
List 3 disadvantages of Geothermal Energy and explain it in a point, example, explanation form BEST ANSWER GETS BRAINLIEST!!!!!!!
Answer:
Disadvantages of geothermal energy:
1. Potential emissions
The greenhouse gas below the surface tends to move up to the surface and this emission of gas contains sulfur dioxide and silica which also have considerable amount of toxic heavy metals such as mercury, boron and arsenic.
2. Surface instability
Construction of a geothermal power plant is quite difficult. It affects the stability of the land. In 1997, while constructing a geothermal power plant in Switzerland causes an earthquake of magnitude 3.4.
3. Location specific
Good geothermal reservoirs are not found at every place and the prime locations for the power plant are far from the population centers.
A 70kg runner begins his slide into second base while moving at a speed of 4m/s. The coefficient of friction between him and the ground is .7. He slides so his speed is 0 just as he reaches the base. How much work is done by friction?
The work done by friction is -560 J
Explanation:
According to the work-energy theorem, the work done by the force of friction on the runner is equal to his change in kinetic energy. Therefore:
[tex]W=\frac{1}{2}mv^2-\frac{1}{2}mu^2[/tex]
where
W is the work done by friction
m is the mass of the runner
v is his final velocity
u is the initial velocity
Here we have:
m = 70 kg is the mass
u = 4 m/s is the initial velocity
v = 0 is the final velocity
Solving for W,
[tex]W=0-\frac{1}{2}(70)(4)^2=-560 J[/tex]
And the sign is negative because the direction of the force of friction is opposite to the motion of the runner.
Learn more about friction:
brainly.com/question/6217246
brainly.com/question/5884009
brainly.com/question/3017271
brainly.com/question/2235246
#LearnwithBrainly
What are centripetal forces. Who made centripetal forces. What is the equation for it?
The centripetal force is the radial force responsible for keeping an object in circular motion; its equation is [tex]F=m\frac{v^2}{r}[/tex]
Explanation:
Whenever an object is in circular motion, there must be a force that makes the object turning away from its "normal" straight trajectory, keeping it along the circular path.
This force always points towards the centre of the circle, and it is called centripetal force.
The equation to calculate the centripetal force for an object in uniform circular motion is:
[tex]F=m\frac{v^2}{r}[/tex]
where
m is the mass of the object
v is its linear speed
r is the radius of the circle
The nature of the centripetal force is always different and depends on the context. For instance:
- For a stone attached to the end of a rope put in horizontal circular motion, the centripetal force is provided by the tension in the string, which pulls constantly the stone towards the centre of the circle
- For a satellite in circular orbit around the Earth, the gravitational attraction between the Earth and the satellite provides the centripetal force
- For a car moving along a circular turn on an unbanked track, the force of frction between the tires of the car and the road provides the centripetal force.
Learn more about circular motion:
brainly.com/question/2562955
brainly.com/question/6372960
#LearnwithBrainly
Centripetal forces are not made by anyone but rather are a type of force that acts on objects moving in a circular path, directed towards the center of the curvature. The equation for centripetal force ({F_c}) is {F_c = m imes v^2 / r}, where {m} is the mass of the object, {v} is the velocity at which the object is traveling, and {r} is the radius of the circular path.
As per physics principles, centripetal force is the force that keeps an object moving in a circular path, always pointing towards the center of the path. It can be provided by various types of familiar forces, such as tension or gravitational force. Newton's third law explains that forces come in action-reaction pairs. When an object is moving in a circle, such as a stone whirled at the end of a string, the tension in the string is the centripetal force, and the stone's inertia that seems to pull away from the center is interpreted as centrifugal force. This feeling of being 'thrown' away from the center, such as when a car turns, is due to the body's inertia and not an actual force exerted outward. The centripetal force is essential in circular motion scenarios and can be described mathematically with Newton's second law applied to objects traveling along circular paths.
a quantity of water is poured into a graduated cylinder, which reads 139 mL. what is the mass of the water in kilograms?
The mass of water is 0.139 kg
Explanation:
The density of a substance is given by the equation
[tex]\rho = \frac{m}{V}[/tex]
where
[tex]\rho[/tex] is the density
m is the mass of the substance
V is its volume
In this problem we have:
V = 139 mL is the volume of water
The density of water is:
[tex]\rho = 1 g/mL[/tex]
Solving the equation for m, we find its mass:
[tex]m=\rho V = (1.0)(139)=139 g[/tex]
And converting into kilograms,
[tex]m=139 g = 0.139 kg[/tex]
Learn more about mass and density:
brainly.com/question/5055270
brainly.com/question/8441651
#LearnwithBrainly
A chlorine atom reacts with a sodium atom to form sodium chloride, NaCl A chlorine atom can also react with another chlonne
atom to form a chlorine molecule, Cl2, Which statement BEST explains the behavior of chlorine in these two reactions?
A chlorine atom con forma covalent bond with another atom by sharing
electrons
A chlorine atom can form an ionic bond with another atom by accepting an
electron
A chlorine atom Can form ionic bonds by accepting an electron and
covalent bonds by sharing electrons.
A chlorine atom can form ionic bonds by sharing electrons and covalent
bonds by accepting an electron,
A chlorine atom can form an ionic bond by accepting an electron when reacting with sodium to form NaCl, and a covalent bond by sharing electrons when forming a [tex]Cl_2[/tex] molecule with another chlorine atom. This corresponds to option C.
The statement that best explains the behavior of chlorine in its reactions with sodium to form sodium chloride (NaCl) and with another chlorine atom to form chlorine molecule ([tex]Cl_2[/tex]) is: A chlorine atom can form ionic bonds by accepting an electron and covalent bonds by sharing electrons. This corresponds to option C.
When a chlorine atom reacts with a sodium atom, it forms an ionic bond by accepting an electron. The chlorine atom, which has seven electrons in its outer shell, gains one electron from the sodium atom, leading to the formation of a chloride ion ([tex]Cl^-[/tex]) with a net negative charge. The sodium atom loses an electron and becomes a sodium ion ([tex]Na^+[/tex]). These ions have opposite charges and are held together in a crystal lattice form of sodium chloride.
On the other hand, when a chlorine atom reacts with another chlorine atom, they share one electron each to complete their outer electron shells, forming a covalent bond to create the chlorine molecule, [tex]Cl_2[/tex].
Question 3 (5 points)
When there is an angle between the force and the displacement, W=F.d cos O.
True
False
True: when there is an angle between force and displacement, [tex]W=Fd cos \theta[/tex]
Explanation:
The work done by a force when pushing/pulling an object is given by the equation
[tex]W=Fd cos \theta[/tex]
where
F is the magnitude of the force
d is the displacement of the object
[tex]\theta[/tex] is the angle between the direction of the force and of the displacement
We have two extreme cases:
- When the force is parallel to the displacement, then [tex]\theta=0^{\circ}[/tex] and [tex]cos \theta = 1[/tex], so the work done is maximum and simply becomes
[tex]W=Fd[/tex]
- When the force is perpendicular to the displacement, then [tex]\theta=90^{\circ}[/tex] and [tex]cos \theta =0[/tex], so the work done is zero.
Learn more about work:
brainly.com/question/6763771
brainly.com/question/6443626
#LearnwithBrainly
An elevator has a weight of 14,700 N and has an acceleration of –0.30 m/s2. The free-body diagram shows the forces acting on the elevator.
A free body diagram with 2 force vectors. One vector is pointing up, labeled F Subscript t Baseline. The second vector is shorter pointing down, labeled F Subscript g Baseline.
To the nearest whole number, what is the force of tension, Ft, acting on the elevator?
14250. I just took it
Answer:
14,250 N
Explanation:
Weight = 14,700 N
Acceleration = -0.30m/s²
[tex]Acceleration = -0.30m/s2[tex]Weight=Fg\\\\Fg=mg\\\\Fg=14,700N\\m=?\\g=9.8m/s^{2} \\\\14,700N=m(9.8m/s^{2} ) \\\\14,700N/9.8ms^{2} =1500kg(mass)\\\\m=1500kg\\a=-0.30m/s^{2}\\\\f=ma\\f=(1500kg)(-0.30m/s^{2} )\\=-450N (net force)\\\\-450N=-14,700N+(Ft)\\14,250N=Ft[/tex]
Consider the model above. It represents the electrical force. As r increases, the attractive force decreases. How would this model compare to a model for the force of gravity?
Answer:
As we keep on increasing the radius the value of the gravitation force of attraction decreases and as we decrease the radius the gravitation force increases.
Explanation:
Like the coulombs law of electrostatics, the law of gravitation also depends inversely on the square of the value of r. Therefore, as we keep on increasing the value of r the value of the gravitation force decreases and as we decrease the value of the r the value of gravitation force increases.
Gravitation Force=[tex]\frac{Gm_{1}m_{2} }{r^{2}}[/tex]
Coulombs's Law= [tex]\frac{Kq_{1}q_{2} }{r^{2}}[/tex]
Answer:
The answer is C
Explanation:
I did it on usatestprep and got it right
Find the change in volume for a metallic dental filling due to the difference between body temperature (37.0°C) and the temperature of the ice cream you ate (-6.2°C). The initial volume of the filling is 21.0 mm3, and its expansion coefficient is α = 42.0 × 10−6 K−1
Answer:
The change in volume for a metallic dental filling due to the temperature difference is 0.1143 mm.
Explanation:
Given:
Temperature of the body is, [tex]T_1=37\ \°C[/tex]
Temperature of the ice-cream is, [tex]T_2=-6.2\ \°C[/tex]
Initial volume of the filling is, [tex]V=21.0\ mm^3[/tex]
Coefficient of thermal expansion is, [tex]\alpha =42.0\times 10^{-6}\ K^{-1}[/tex]
We know that the coefficient of volume expansion is related to thermal expansion as:
[tex]\gamma=3\alpha=3\times 42.0\times 10^{-6}=126\times 10^{-6}\ K^{-1}[/tex]
Now, change in volume for a metallic dental filling is given as:
[tex]\Delta V=V\gamma(T_1-T_2)\\\Delta V=21\times 126\times 10^{-6}(37-(-6.2))\\\Delta V=2646\times(37+6.2)\times 10^{-6}\\\Delta V=2646\times 43.2\times 10^{-6}\\\Delta V=0.1143\ mm^3[/tex]
Therefore, the change in volume for a metallic dental filling due to the temperature difference is 0.1143 mm.
The changes in volume for a metallic dental filling due to the difference between body temperature will be 0.1143 mm.
What is thermal expansion?The expansion of any material due to the thermal application is known as thermal expansion.
The given data in the problem is;
Δv is the change in the volume =?
T₂ is the body temperature = 37.0°C
T₁ is the temperature of ice cream you ate (-6.2°C)
α is the expansion coefficient= 42.0 x 10⁻⁶ K⁻¹ mm
The coefficient of the volume expansion is given by;
[tex]\gamma = 3 \alpha \\\\ \gamma = 3 \times 42.0 \times 10^{-6} \\\\ \gamma = 126 \times 10^{-6}[/tex]
The change in the volume due to the thermal expansion is given by;
[tex]\triangle v = V \gamma (T_2-T_1) \\\\ \triangle v = 21 \times 126 \times 10^{-6} (37-(-6.2))\\\\ \triangle v = 2646 \times (37+6.2)\times 10^{-6} \\\\ \triangle v = 0.0143\ mm^3[/tex]
Hence the changes in volume for a metallic dental filling will be -18,62784 mm³.
To learn more about the thermal expansion refer to the link;
https://brainly.com/question/26046548
What is the current through a 25 ohm resistor connected to a 5.0 V power supply? a 0.20 A b 5.0 A c 25 A d 30 A
The current through a 25 ohm resistor connected to a 5.0 V power supply is 0.2 A. Option A is correct.
Ohm's Law:
The voltage of the two points between in a conductor is directly proportional to the current flows through the conductor.
V = IR
Where,
V = voltage = 5.0 V
I = current = ?
R = resistance - 25 ohm
Put the values in the equation,
5 = 25 x I
I = 0.2 A
Therefore, the current through a 25 ohm resistor connected to a 5.0 V power supply is 0.2 A.
To know more about Ohm's Law:
https://brainly.com/question/796939
What is the magnitude of component of a vector in
right angle to itself, ?
Yes, but it's a null vector .So,no vector can have a component at right angle to itself unless it is a zero vector.
The magnitude of a vector component at a right angle to the vector is zero, and the condition for the resultant of two vectors of equal magnitude to equal the magnitude of either one is when the angle between them is 0 or 180 degrees.
The magnitude of the component of a vector at a right angle to itself is always zero because a vector cannot have a component in the direction that is perpendicular to its direction of action. When we calculate the magnitude A and direction of a vector from its perpendicular components Ax and Ay, relative to the x-axis, we use trigonometric relationships, where Ax = A×cos(θ) and Ay = A×sin(θ).
Now, under the specific condition when two vectors are at right angles to each other, the magnitudes of their sum and difference are the same. This happens because the vectors are orthogonal, and their components in the direction of each other are zero. We also know that when the components are equal and vectors are added with an angle of 90 degrees between them, the magnitude of the resultant equals the magnitude of either vector multiplied by the square root of two. This is due to Pythagoras' theorem applied in the context of vector addition.
Dao makes a table to identify the variables used in the equations for centripetal acceleration. A 2 column 5 rows. The first column is labeled Variable with entries a Subscript c Baseline, T, r, v. The second column is labeled Quantity with entries blank, X, blank, Y. What quantities belong in cells X and Y? X: centripetal acceleration Y: period X: tangential speed Y: radius X: radius Y: centripetal acceleration X: period Y: tangential speed
Answer:
X: radius
Y: tangential speed
Explanation:
Just took the test and got it right
In the table for centripetal acceleration equations, X refers to the radius of the circular path, and Y denotes the tangential speed of the object in circular motion.
Explanation:The quantities that belong in cells X and Y in the student's table for the equations for centripetal acceleration are as follows:
X: radiusY: tangential speedIn the context of circular motion, the variable r represents the radius of the circular path, and the variable v is the tangential speed or linear speed along the circular path. The variable ac stands for centripetal acceleration, which points toward the center of the circular path and is dependent on both r and v. The variable T represents the period, which is the time it takes to complete one full circle along the path.
What connects our muscles to our bones?
Answer:
Tendon connects our muscles to our bones.
Explanation:
A tendon (or sinew) is a tough band of fibrous connective tissue that usually connects muscle to bone and is capable of withstanding tension.
Tendons are similar to ligaments and fasciae; all three are made of collagen.
Ligaments join one bone to another bone; fasciae connect muscles to other muscles.
Tendons and muscles work together to move bones.
The tendon is the part of the muscle that connects directly to the bone.
Accuracy and precision mean the same thing.
True or
False
Answer:
Accuracy refers to how close measurements are to the "true" value, while precision refers to how close measurements are to each other
The given statement " Accuracy and precision mean the same thing" is false because accuracy and precision are two distinct concepts used to describe the quality of measurements.
1. Accuracy: Refers to how close a measured value is to the true or accepted value. In other words, it measures the correctness of a measurement. A measurement is considered accurate if it is close to the true value.
2. Precision: Refers to the consistency or reproducibility of measurements. It describes how close multiple measurements of the same quantity are to each other. Precision does not necessarily imply accuracy; measurements can be precise but not accurate if they are consistently off-target.
In summary, accuracy relates to correctness, while precision relates to consistency. A measurement can be accurate, precise, both, or neither. Therefore, accuracy and precision do not mean the same thing, and it is essential to distinguish between the two when evaluating the reliability of measurements.
To learn more about Accuracy and precision here
https://brainly.com/question/31961485
#SPJ2
In order to sail through the frozen Arctic Ocean, the most powerful icebreaker ever built was constructed in the former Soviet Union. At the heart of the ship’s power plant is a nuclear reactor with a power output of 5.60* 10^7 W. How long will it take for this power plant to do 5.35* 10^10 J of work?
Answer:
955.36 seconds
Explanation:
Power is the rate of doing work over time
[tex]P=\frac{W}{t}[/tex]
We have
[tex]P=5.60* 10^7\ Watt[/tex]
[tex]W=5.35* 10^{10}\ Joule[/tex]
So the time taken is
[tex]t=\frac{W}{P}[/tex]
[tex]t=\frac{5.35* 10^{10}}{5.60*10^7} =955.36\ sec[/tex]