The moment of inertia of the composite shape about the x-axis is 2.702*10^8 mm^4.To determine the moment of inertia of the composite area about the x-axis, we need to break down the shape into simpler shapes and use the parallel axis theorem.
We have a rectangle with dimensions a x h and a semicircle with radius r. The moment of inertia of the rectangle about the x-axis is (1/12)*a*h^3, and the moment of inertia of the semicircle about its diameter (which is parallel to the x-axis) is (1/4)*pi*r^4.
Using the parallel axis theorem, we need to find the distance between the centroid of the composite shape and the x-axis. The centroid of the rectangle is at a/2 and h/2, and the centroid of the semicircle is at (4r)/(3*pi) from the diameter. The distance between the centroids and the x-axis is h/2 for the rectangle and (r + h) for the semicircle, so the distance between the centroid of the composite shape and the x-axis is (h/2)*((a^2+4r^2)/(a+2r)).
Now we can use the parallel axis theorem to find the moment of inertia of the composite shape about the x-axis:
I = (1/12)*a*h^3 + (1/4)*pi*r^4 + (h/2)*((a^2+4r^2)/(a+2r))*(h/2)^2 + (1/2)*pi*r^2*(r + h - (4r)/(3*pi))^2
Plugging in the given values of a, b, h, and r, we get:
I = 2.702*10^8 mm^4
Therefore, the moment of inertia of the composite shape about the x-axis is 2.702*10^8 mm^4.
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In a particular chemical reaction, the energy of the reactants is 30 kJ and the energy of the products is 5 kJ. The maximum energy of the system is 40 kJ.
Sketch a potential energy diagram for this reaction. Make sure to label the energy of the reactants, the energy of the products, the activation energy, and the enthalpy change for the reaction.
What is the activation energy for this reaction?
What is the enthalpy change for this reaction?
Is this reaction endothermic or exothermic? Explain your answer in two ways: first, using the energy values, and second, by referring to the shape of the graph.
The correct answer is Exothermic reaction and the values are follows: Activation energy = 10 kJ, enthalpy change = -25 kJ
Exothermic reactions are those in which the energy of the reactant is greater than the energy of the result. Heat is produced as a result of the entire energy being released, and this results in a negative response.
Given: The reactants' potential energy is 30 kJ
Products' potential energy is 5 kJ.
The system's maximum energy is 40 kJ.
The additional energy that must be provided to reactants in order for them to break through the energy barrier and transform into products is known as activation energy.
Maximum energy of the system - Potential energy of the reactants equals (40-30) kJ = 10 kJ, which is the activation energy.
Enthalpy change is equal to ((5-30) kJ= -25 kJ): Potential energy of the products - Potential energy of the reactants.
Exothermic reactionA process for which the overall standard enthalpy change (H) is negative is referred to as an exothermic reaction in thermochemistry. Typically, exothermic reactions produce heat. IUPAC defines exergonic reaction as "... a reaction for which the overall standard Gibbs energy change G is negative." The two terms are frequently mixed up. Since "H" significantly contributes to "G," a very exothermic process will typically also be exergonic. Exothermic and exergonic reactions make up the majority of the impressive chemical reactions that are presented in classrooms. The opposite is an endothermic process, which often produces heat and is fueled by a rise in system entropy. A chemical system's energy can be thought of as its enthalpy.
In a particular chemical reaction, the energy of the reactants is 30 kJ and the energy of the products is 5 kJ. The maximum energy of the system is 40 kJ.
Sketch a potential energy diagram for this reaction. Make sure to label the energy of the reactants, the energy of the products, the activation energy, and the enthalpy change for the reaction.
What is the activation energy for this reaction?
What is the enthalpy change for this reaction?
Is this reaction endothermic or exothermic reaction? Explain your answer in two ways: first, using the energy values, and second, by referring to the shape of the graph.
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A red light means to stop. If you are turning from a two-way road or onto a two-way road, then you are NOT allowed to turn
A red light means to stop. If you are turning from a two-way road or onto a two-way road, then you are NOT allowed to reverse your car If you can't do it
Red is typically used to indicate danger or warning, and on traffic lights, it indicates a potential hazard ahead and, as a result, serves as a signal for drivers to stop. If the traffic light turns red while you are already at a junction, you must move swiftly to the opposite side to avoid a potential accident with oncoming traffic.
If the traffic light has turned red as you approach the junction and you are just entering it, you must stop. Unless there is a sign clearly telling you not to turn left at the red light, you may do so. Give way to people and cars coming from other directions when turning.
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Answer: you are not allowed to turn left on a red light from a two way to a two way
As a pendulum moves toward the equilibrium position, velocity and acceleration . As the pendulum moves away from the equilibrium position, velocity and acceleration . Velocity is at a when acceleration is zero.
Answer:
As a pendulum moves toward the equilibrium position, velocity increases and acceleration decreases. As the pendulum moves away from the equilibrium position, velocity decreases and acceleration increases.
Explanation:
Using the law of conservation of energy, we know that Em1=Em2.
Em1 (at the highest point) = Eg + Ek, where Ek is 0
Em2 (at the equilibrium point) = Eg +Ek, where Eg is 0
This makes sense. At the highest point, the pendulum is at its maximum height. At this point, however, it stops moving, so its velocity is 0. At the equilibrium point, the pendulum is at its lowest height (i.e. h=0). At this point, however, its moving at its maximum velocity. This velocity is constant, which means that acceleration is 0.
Answer:
1) Increases
2) Decreases
3) Decreases
4) Increases
5) Maximum
Explanation:
As a pendulum moves toward the equilibrium position, velocity
✔ increases
and acceleration
✔ decreases
. As the pendulum moves away from the equilibrium position, velocity
✔ decreases
and acceleration
✔ increases
. Velocity is at a
✔ maximum
when acceleration is zero.
Visualizing the body in the position is significant because all observers have a common point of reference when describing and discussing its regions.
Visualizing the body in the anatomical position is significant because all observers have a common point of reference when describing and discussing its region.
What is the anatomical position?Anatomical position, also known as conventional anatomical position, refers to the body's position while it is standing erect and looking forward, with each arm hanging on either side of the body and palms facing forward. The legs are parallel, with the feet level on the floor and forward facing. When explaining particular anatomical words and locations in human anatomy and physiology, the anatomical position is a standard point of reference. Visualizing the body in its anatomical location is important because it provides a single point of reference for all observers when describing and discussing its region.As the description itself says, visualizing the body in its anatomical location is important because it provides a single point of reference for all observers when describing and discussing its region.
Therefore, visualizing the body in the anatomical position is significant because all observers have a common point of reference when describing and discussing its region.
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The question you are looking for is given here:
Visualizing the body in the _____________ is significant because all observers have a common point of reference when describing and discussing its region.
A variable capacitor with a range from 12 to 279 pF is used with a coil to form a variable-frequency LC circuit to tune the input to a radio. (a) What is the ratio of maximum frequency to minimum frequency that can be obtained with such a capacitor
The ratio of maximum frequency and minimum frequency is 4.9.
Calculation:
The relation between frequency, f, and conductance, C and inductance, L is given as:
[tex]f = \frac{1}{2\pi \sqrt{LC} }[/tex]
Given,
Cmax = 279 pF
Cmin = 12 pF
The smaller value of C gives the the larger value of f, therefore,
[tex]fmax = \frac{1}{2\pi\sqrt{LCmin} }[/tex] ....(1)
[tex]fmin = \frac{1}{2\pi\sqrt{LCmax} }[/tex] .....(2)
Dividing both the equations (1) and (2):
[tex]\frac{fmax}{fmin} =\frac{\sqrt{Cmax} }{\sqrt{Cmin} }[/tex]
[tex]\frac{fmax}{fmin} = \frac{\sqrt{279} }{\sqrt{12} }[/tex]
[tex]= 4.9[/tex]
Hence, the ratio of maximum to minimum frequency is 4.9.
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What force would require an 8-kg bowling ball to accelerate at a rate of 5 meters per second squared(m/s^2)?
Answer:
87 kph
Explanation:
A 25. 00 ml sample of acetic acid containing phenolphthalein indicator is titrated with 0. 1067 m naoh. The solution changes color after 30. 07 ml naoh has been added. What is the concentration of the acetic acid before titration?.
The concentration of the acetic acid:
The concentration of the acetic acid before titration is 0.128M
Reaction of phenolphthalein with NaOH:
The sodium hydroxide will start interacting with phenolphthalein as soon as enough sodium hydroxide has been added to the acetic acid such that there is no longer any unreacted acetic acid. Pink solution is produced when phenolphthalein and sodium hydroxide combine.
Calculation:
The balanced equation:
CH₃COOH + NaOH ⇒ CH₃COONa + H₂O
Given:
Quantity of NaOH = 0.1067 M
Volume of NaOH = 30.07 ml
= 30.07 / 1000
= 0.03007 L
For weak acid and strong base titration = Moles of acetic acid = moles of NaOH
Moles of NaOH = concentration X volume
0.1067 X 0.03007 = 0.0032
Thus, moles of acetic acid = 0.0032mole,
By employing the formula,
Concentration = Moles/Volume
= 0.0032/0.025
= 0.128M
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If the coefficient of friction between road and tires on a rainy day is 0.109, what is the minimum distance in which the car will stop
The car will halt at a minimum distance of 98.57 meters on a rainy day having a friction coefficient of 0.109.
Calculation of the minimum distance-
Provided that :
the speed of the car = 52 km/h= 52 x 0.278 m/s = 14.45 m/s
Friction coefficient, μ = 0.109the regular force exerted on the car,
[tex]F_{N} = mg[/tex]
Along X-direction, the force is
[tex]F_{x} = ma_{x}[/tex]
Friction acts in the opposite way along the x-axis
[tex]-f_{friction} = ma_{x}[/tex]
⇒-μ[tex]F_{N} = ma_{x}[/tex]
⇒-μmg = [tex]ma_{x}[/tex]
⇒[tex]a_{x} =[/tex] μg
Utilizing the motion equation-
v² = u²+ 2 .a. s
The final speed, v=0 m/s
⇒0² = (14.45)² - 2 μg .s
⇒2 * 0.109 *9.8 *s = (14.45)² = 208.8
⇒s = 208.8 / 2.14 = 97.57 m
It is concluded that the car will halt at a minimum distance of 98.57 meters.
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A battery delivering a current of 55.0 A to a circuit has a terminal voltage of 22.4 V. The electric power being dissipated by the internal resistance of the battery is 37 W. Find the emf of the battery.
The emf of the battery is 23.071 V.
What is emf?
The emf (electromotive force) is defined as the original potential applied across a circuit when there is no internal resistance.
The emf is given by the formula,
E=V+I*r
where E is the emf of the battery, V is the potential applied across the circuit, I is the current through the circuit and r is the internal resistance of the battery.
What is power?
The power is the product of the square of the current and the resistance. The formula of the power P for the internal resistance r is,
P=I^(2)*r
Given I=55.0 A and P=37 W, substitute I=55.0 A and P=37 W in the above formula and solve it to calculate r.
37 = (55.0)^2*r
r=37/ (55.0)^2
r=0.0122 ohm
Given V=22.4 V, substitute I=55.0 A, r=0.0122 ohm, and V=22.4 V in the formula of emf to calculate the value of emf.
E=22.4+(55.0)*(0.0122)
E=23.071 V
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Compared to other diffraction techniques, the advantage of x-ray diffraction is that it enables:____.
Compared to other diffraction techniques, the advantage of X-ray diffraction is that it enables determination of three - dimensional molecular structure.
Diffraction is described as the interference or bending of waves via an aperture or around the corners of an obstruction into the area that forms the geometric shadow of the obstruction or aperture.
A common method for determining the crystallinity and structure of solid samples is X-ray diffraction (XRD).
In conclusion, X-rays are scattered by the electrons of atoms present in the sample without changing their wavelength, which causes the crystal X-ray diffraction phenomena.
Some advantages of X-ray diffraction
1) It determines the three-dimensional molecular structure.
2) It is a quick and effective method for determining unidentified minerals and materials.
3) Only a little sample needs to be prepared for analysis.
4) The generated data can be interpreted very easily.
5) XRD measurement equipment is commonly accessible.
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According to present scientific understanding of the Milky Way's formation, which of the following statements are true
Halo stars formed before disk stars and the protogalatic cloud(s) contained essentially no elements besides hydrogen and helium.
Halo starsThe hierarchical growth of huge galaxies like the Milky Way results in the natural by-product of extended star haloes. Our galaxy's star halo should contain traces of past merger events if this process is a significant contributor to the galaxy's expansion. However, it is difficult to reliably identify real halo stars. Aims. We have entered a new phase of galactic astronomy with the launch of the Gaia space telescope. Over two million stars the majority of which are in the solar neighbourhood have their locations, parallaxes, and proper motions listed in the initial Gaia data release. This sample will be expanded to include more than 1.5 billion stars in the second Gaia data release, of which 5 million will be fully phase-space characterized stars.
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A small water droplet in a mist of air is approximated as being a sphere of diameter 1.25 mil. Calculate the terminal velocity as it falls through still air to the ground.
The terminal velocity as it falls through still air is 4.65154 in/s.
The diameter of small water droplet is 1.25 mil= 1.25×0.0254×10^-3 m
= 3.175 × 10^-5 m
Now the viscosity of still air is η = 1.83× 10⁻⁵ Pa
So the formula for drag force is:
Fd = 6πηrv
where, v is the velocity.
Now to attain terminal velocity acceleration must be zero.
→ W = Fd
ρVg = 6πrηv
ρ × 4/3 πr³×g = 6πrηv
v = 2/9 × ρgr³/ η
v = 2/9 × 10³×9.81×(3.175×10^-3) / 18.6×10^-6
v = 0.1181 m/s
v = 4.65154 in/s
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In the circuit shown, switch S is first pushed up to charge the capacitor. When S is then pushed down, the current in the circuit will oscillate at a frequency of:
The current in the circuit will have an oscillation frequency of = 318 Hz
For oscillating frequencies, the time period, amplitude, and wavelength are the three most crucial components. The difference between the oscillation's highest and minimum points is represented by its amplitude, which is measured in terms of time.
The following formula can be used to get the oscillating wave's frequency from the time period:
Frequency (f) = 1/Time period
Oceanic waves and sound both require a minimum physical distance to complete an oscillation cycle. The term "wavelength" refers to a physical measurement between two points at regular intervals. The number of events in one unit of time is known as the frequency (f). The frequency of periodic motion is the number of oscillations per unit of time.
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About how many kwh does the solana parabolic trough solar array generate in a month?
An array of this size can produce an average of 350-850 kWh of AC energy per month.
Solar technologies convert sunlight into electrical energy either through photovoltaic (PV) panels or through mirrors that concentrate solar radiation. This energy can be used to generate electricity or be stored in batteries or thermal storage.
Solar panel systems are measured in terms of kW. A common size solar panel array is usually around 5kW. An array of this size can produce an average of 350-850 kWh of AC energy per month.
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A rear window defroster consists of a long, flat wire bonded to the inside surface of the window. When current passes through the wire, it heats up and melts ice and snow on the window. For one window the wire has a total length of 11.0 mm, a width of 1.8 mmmm, and a thickness of 0.11 mmmm. The wire is connected to the car's 12.0 VV battery and draws 7.5 AA.
2.6×10[tex]^-8[/tex] Ωm,A long, flat wire is used as a rear window defroster and is bonded to the window's interior surface.
Resistivity of the wire ?Electrical resistivity is a measurement of a material's degree of resistance to current flow. The SI unit for electrical resistivity is the ohm meter (m). It is frequently represented by the Greek letter rho. Materials that easily transmit current and have a low resistance are called conductors.
Length of the wire, l = 12.2 m
width of the wire, w = 1.8 mm
Thickness of the wire, T = 0.11 mm
Potential difference of the battery, v = 12 V
Current in battery, I = 7.5 A
Ohms law says, V = IR.
So that, R = V/I
R = 12/7.5 = 1.6 Ω
The Greek letter rho is frequently used to represent resistance, which is numerically equivalent to the resistance R of a wire-like specimen, multiplied by its cross-sectional area A, and divided by its length.
Resistivity if a material is:
ρ = RA/l
ρ = [1.6 × 1.8 × 10[tex]^-3[/tex] × 0.11×10[tex]^-3[/tex]] / 12.2
ρ = (3.168×10[tex]^-7[/tex]) / 12.2
ρ = 2.596×10[tex]^-8[/tex]
Therefore, the resistivity of the wire is 2.60×10[tex]^-8[/tex] Ωm
Resistivity of the wire is 2.60*10^-8 Ωm
Given:
Length of the wire, I = 12.2 m
width of the wire, w = 1.8 mm
thickness of the wire, T = 0.11 mm
Potential difference of the battery, v = 12
Current in the battery, I = 7.5 A
To Find:
Resistivity
Solution: A characteristic property of each material, resistivity is useful in comparing various materials on the basis of their ability to conduct electric currents.
Remember, Ohms law says, V = IR
So that, RV/I
R = 12/7.5= 1.6 Q
Resistivity if a material is
p = RA/I
p = [1.6 * 1.8*10^-3* 0.11*10^-3] / 12.2
p = (3.168*10^-7)/12.2
p = 2.596*10^-8
Therefore, the resistivity of the wire is 2.60*10^-8 Ωm
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Refer to the image. Calculate the magnitude of change in velocity of the cue ball.
The answer is 2.83 m/s. Please explain the step.
Answer:
If you add the 2 velocity vectors you get the velocity of the third vector which is the (change in) velocity of the cue ball after striking the cushion
V * 2 * cos 45 = 4 * cos 45 = 2.83 m/s
If you want the ball to land in your hand when it comes back down, should you toss the ball straight upward, in a forward direction, or in a backward direction, relative to your body
Straight upward
the ball moves in the forward direction with your walking speed at all times. If you want the ball to land in your hand when it comes back down, you should toss the ball straight upward.
What is Projectile motion ?Projectile motion is the motion of an object thrown (projected) into the air.
After the initial force that launches the object, it only experiences the force of gravity. The object is called a projectile, and its path is called its trajectoryA projectile can be a thrown ball, a bullet or a springboard diver ... Except for air resistance, the forward velocity of any projectile is constant and is equal to the initial velocity when it was released.Learn more about Projectile motion here:
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A bicyclist covers the first leg of a journey that is d1meters in t1seconds at a speed of v1m/s and the second leg of d2meters in t2seconds at a speed of v2m/sIf his average speed is equal to the average of v1 and v2
then which of the following is true?
1. t1=t2
2. t1≠t2
3. d1=d2
4. d1≠d2
According to motion in straight line t1≠t2
A biker travels d1 meters in t1 seconds at v1 m/s for the first leg and d2 meters in t2 seconds at v2 m/s for the second leg. It's possible that t1t2 if his average speed is equal to the average of v1 and v2.
An object is said to be in motion if its position in relation to its surroundings changes over time. It is a shift in an object's position over time. The only type of motion that exists is motion in a straight line.
A reference system is constantly used to describe a particle's motion. An arbitrary origin point is used to create a reference system, and a coordinate system is imagined to be connected to it. The reference system for a specific problem is the coordinate system that has been selected for it. For the majority of the problems, we typically select an earth-based coordinate system as the reference system.
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What are the consequences of the discovery of Airplanes?
Why is this discovery important?
Are there any negative/bad consequences?
Answer:
The use of airplanes also allows many people to acquire jobs in many different areas of aviation. The invention of the airplane led to new technologies, new ways of battle, modern warfare, and safer and more efficient travel. Space travel also would not have been possible without the idea of air travel.
Explanation:
Match each term with its definition.
malleability
metallic bond
alloy
ductility
electron sea theory
the bond formed when metal atoms
share many mobile electrons
metals bond to other metals by
sharing many "floating electrons
the ability of metals to be shaped by
hammering or pounding
the ability of metals to be formed into
wires
a mixture of the atoms of a metal with
another element
The correct matches are as follows:
malleability - the ability of metals to be shaped by hammering or poundingmetallic bond - the bond formed when metal atoms share many mobile electronsalloy - a mixture of the atoms of a metal with another elementductility - the ability of metals to be formed into wireselectron sea theory - metals bond to other metals by sharing many "floating electronsWhat are metals?Metals are elements which form positive ions by loss of electrons.
Metals are usually shiny, malleable and ductile.
Metal atoms combine are bonded to each other by metallic bonds.
Electron sea theory describe how mobile electrons surround positive atomic nucleus.
Alloys refer to a mixture of metals.
In conclusion, metal atoms form metallic bonds.
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7. A 78-kg skydiver has a speed of 62 m/s at an altitude of 870 m above the ground.
a. Determine the kinetic energy possessed by the skydiver.
b. Determine the potential energy possessed by the skydiver.
Determine the total mechanical energy possessed by the skydiver.
timore City Public fab
The kinetic energy, potential energy and total mechanical energy possessed by the skydriver are 1.5 × 10⁵ Joule, 6.7 × 10⁵ Joule and 8.2 × 10⁵ Joule respectively.
To find the answer, we need to know about the expression of kinetic energy and potential energy.
What are the expressions of kinetic energy and potential energy?Mathematically, kinetic energy= 1/2 × mass × velocity²Gravitational potential energy near the earth surface= mass × g × height on the earth surfaceWhat's the kinetic energy, potential energy and total mechanical energy of the 78kg skydriver at 870 m on earth surface with 62 m/s velocity?Kinetic energy= 1/2 × 78 × 62² = 1.5 × 10⁵ JoulePotential energy= 78×9.8×870= 6.7× 10⁵ JouleWhat's the total mechanical energy?Mechanical energy= kinetic energy+ potential energy 1.5 × 10⁵ Joule + 6.7× 10⁵ Joule = 8.2× 10⁵ JouleThus, we can conclude that the kinetic energy, potential energy and total mechanical energy possessed by the skydriver are 1.5 × 10⁵ Joule, 6.7 × 10⁵ Joule and 8.2 × 10⁵ Joule respectively.
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A car is stopped at a traffic light. When the light turns green at t=0, a truck with a constant speed passes the car with a 20m/s velocity. The car uniformly accelerates to the velocity 35m/s in 20 seconds, the moves at a constant speed for 5 seconds. How long will it take for the car to catch up to the truck.
Answer:
At [tex]t = (70 / 3) \; {\rm s}[/tex] (approximately [tex]23.3 \; {\rm s}[/tex].)
Explanation:
Note that the acceleration of the car between [tex]t = 0\; {\rm s}[/tex] and [tex]t = 20\; {\rm s}[/tex] ([tex]\Delta t = 20\; {\rm s}[/tex]) is constant. Initial velocity of the car was [tex]v_{0} = 0\; {\rm m\cdot s^{-1}}[/tex], whereas [tex]v_{1} = 35\; {\rm m\cdot s^{-1}}[/tex] at [tex]t = 20\; {\rm s}\![/tex]. Hence, at [tex]t = 20\; {\rm s}\!\![/tex], this car would have travelled a distance of:
[tex]\begin{aligned}x &= \frac{(v_{1} - v_{0})\, \Delta t}{2} \\ &= \frac{(35\; {\rm m\cdot s^{-1}} - 0\; {\rm m\cdot s^{-1}}) \times (20\; {\rm s})}{2} \\ &= 350\; {\rm m}\end{aligned}[/tex].
At [tex]t = 20\; {\rm s}[/tex], the truck would have travelled a distance of [tex]x = v\, t = 20\; {\rm m\cdot s^{-1}} \times 20\; {\rm s} = 400\; {\rm m}[/tex].
In other words, at [tex]t = 20\; {\rm s}[/tex], the truck was [tex]400\; {\rm m} - 350\; {\rm m} = 50\; {\rm m}[/tex] ahead of the car. The velocity of the car is greater than that of the truck by [tex]35\; {\rm m\cdot s^{-1}} - 20\; {\rm m\cdot s^{-1}} = 15 \; {\rm m\cdot s^{-1}}[/tex]. It would take another [tex](50\; {\rm m}) / (15\; {\rm m\cdot s^{-1}}) = (10/3)\; {\rm s}[/tex] before the car catches up with the truck.
Hence, the car would catch up with the truck at [tex]t = (20 + (10/3))\; {\rm s} = (70 / 3)\; {\rm s}[/tex].
In the writing of ionic chemical formulas, what factor is "crossed over" in the crossover rule?
In the writing of ionic chemical formulas the value of each ion's charge is crossed over in the crossover rule.
Rules for naming Ionic compounds
Frist RuleThe oxidation state of each ion is also important, thus in the crossover rule, the value of each ion's charge is crossed over.
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Sketch the path that light would take through the slit. Show the beams that are incident on and reflected from the mirror. Draw arrowheads to indicate the direction that light travels.
This is the path of light through slits.
what are incident light ?
The light that hits a topic is called as incident light. It may originate from an artificial source or from a natural source, like as the sun. Incident light is also light that reflects off a reflector or another surface.
what is light ?
The region of the electromagnetic spectrum that the human eye sees as light, or visible light, is composed of electromagnetic radiation. The Sun is the primary source of natural light on Earth. Fire has historically been a major source of light for people, from ancient campfires to modern kerosene lamps. Electric lighting has largely taken the place of firelight as a result of the development of electric lights and power systems.
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A penny has a mass of and the Moon has a mass of . Use this information to answer the questions below. Be sure your answers have the correct number of significant digits.
Mass of 1 mole of pennies is 1.506 × 10²¹ kg. 48.805 moles moles of pennies have a mass equal to the mass of the Moon.
What is the mass of one mole of pennies?Mass of one mole pennies= 6.023 × 10²³ × mass of one penny
= 6.023 × 10²³ ×0.0025 kg
= 1.506 × 10²¹ kg
How many moles of pennies are required to have a mass of the moon?No. of moles of pennies = mass of moon/mass of one mole of pennies 7.35 X 10²²/1.506 × 10²¹= 48.805 moles
Thus, we can conclude that the mass of 1 mole of pennies is 1.506 × 10²¹ kg and 48.805 moles moles of pennies have a mass equal to the mass of the Moon.
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Question: A penny has a mass of 2.50g and the Moon has a mass of 7.35 X 10^22kg. Use this information to answer the questions below.
A) What is the mass of 1 moIe of pennies? Round your answer to 3 significant digits.
B) How many moles of pennies have a mass equal to the mass of the Moon? Round your answer to 3 significant digits.
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What is the average power supplied by a 60.0 kg secretary running up a 4.0 m tall flight of stairs in 4.2 s?
Group of answer choices
a. 670 W
b. 560 W
c. 610 W
d. 380 W
A 60.0 kg secretary running up a 4.0 m tall flight of stairs in 4.2 s has an average power of 560 W (Option b).
What is power?Power is the work done over a period of time.
A secretary with a mass (m) of 60.0 kg runs up a 4.0 m (d) tall flight of stairs. Given gravity (g) is 9.81 m/s², the work (W) done is:
W = m × g × d = 60.0 kg × 9.81 m/s² × 4.0 m = 2.35 × 10³ J
They do 2.4 × 10³ J of work in 4.2 s (t). The average power (P) is:
P = W / t = 2.35 × 10³ J / 4.2 s = 560 W
A 60.0 kg secretary running up a 4.0 m tall flight of stairs in 4.2 s has an average power of 560 W (Option b).
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A ray of light strikes a boundary between two transparent materials, and there is no transmitted ray, as shown in the figure. What can you conclude about the indices of refraction of these two materials
Answer:q
Explanation:
Consider the elliptical orbit of a comet around the sun. where in its orbit is the comet moving the fastest?
Considering the elliptical orbit of a comet around the sun , the closer is the comet , the faster it will move .
Comets are thought to orbit the sun in either the Oort cloud or Kuiper belt. When another star passes by the solar system, its gravity pushes the Oort cloud and/or Kuiper belt and causes comets to descend toward the sun in a highly elliptical orbit with the sun at one focus of the ellipse. The closer is the comet , the faster it will move
It is been observed that comets motion is mostly get affected by sun's gravity. As a comet gets closer to the sun it moves faster and faster and as comet gets away from the sun , its speed get decreased. So, the comet should be as closer at it can be to the sun in order to move fastest
Here , it can be observed that comet's speed is inversely proportional to its distance from the sun.
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The maximum height a typical person can jump is about 60cm (0.6m). By how much does the gravitational potential energy increase for a 72kg person in such a jump? Where does this energy come from? (What do I have to find here?)
The gravitational potential energy will increase by 423.36 J
How to determine the potential energy at ground levelMass (m) = 72 kgAcceleration due to gravity (g) = 9.8 m/s²Height (h) = 0 mPotential energy at ground level (PE₁) =?PE = mgh
PE₁ = 72 × 9.8 × 0
PE₁ = 0 J
How to determine the potential energy at 60 cm (0.6 m)Mass (m) = 72 kgAcceleration due to gravity (g) = 9.8 m/s²Height (h) = 0.6 mPotential energy at 60 cm (0.6 m) (PE₂) =?PE = mgh
PE₂ = 72 × 9.8 × 0.6
PE₂= 423.36 J
How to determine the change in potential energy Potential energy at ground level (PE₁) = 0 JPotential energy at 60 cm (0.6 m) (PE₂) = 423.36 JChange in potential energy =?Change in potential energy = PE₂ - PE₁
Change in potential energy = 423.36 - 0
Change in potential energy = 423.36 J
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7. A 0.5-kg puck is traveling at 3.0 m/s. It strikes a 1.0-kg puck, which is
stationary. The two pucks stick together. What is their final speed after
collision?
A. 1.0 m/s
OB. 2.0 m/s
OC. 2.5 m/s
OD.3.0 m/s
*
1 point
Answer:
A
Explanation:
m1vi1 + m2vi2 = (m1+m2)vf
(0.5×3) + (1×0) = (1 + 0.5)vf
1.5=1.5vf
therefore final speed/velocity is 1m/s
m = mass
vi = velocity initial
vf = velocity final