The gravitational field strength on the surface of Ganymede is equal to 1.75 × 10^11 m/s^2. This is approximately 200 times the gravitational field strength of Earth.
What is gravitatonal field?Gravitational field is a region of space that is affected by the gravitational force of a massive object, such as a planet or star. It is the region in which any mass inside it experiences the force of gravity, and any mass outside of it does not. Gravitational fields can be measured in units called Newtons per kilogram (N/kg). The strength of the gravitational field is proportional to the mass of the object, with more massive objects creating stronger fields. In general, gravity is the weakest of the four fundamental forces, but it still has a profound effect on the behavior of matter and energy.
The gravitational field strength on the surface of Ganymede can be determined using Newton's law of gravity. According to this law, the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Therefore, the gravitational field strength on the surface of Ganymede is equal to the gravitational force of Jupiter divided by the square of the distance between them.
The mass of Jupiter is 1.898 × 10^27 kg and the distance between Jupiter and Ganymede is 1.07 × 10^9 meters. Therefore, the gravitational field strength on the surface of Ganymede is equal to 1.75 × 10^11 m/s^2. This is approximately 200 times the gravitational field strength of Earth.
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a gas expands from i to f along the three paths indicated in the figure. calculate the work done on the gas along paths (a) iaf, (b) if, (c) ibf
A gas expands from I to f along the three paths shown in the diagram. compute the work done on the gas along paths (a) W = 810.4 J (b) W = 506.5 J (c) Wtot = 202.6 J
Along pathIAF,
the work done is the area under the curve,
W = (4 atm)(2 L)
W = 8 L-atm
Now, what's a liter-atmosphere? We solved that in the last chapter. But let's do it again here. 1.0 atm =1.013 x 10 + 5 Pa = 1.013 x 10 5N/m2
1 L-atm = 1 L-atm [ 10 - 3m3 / L] [(1.013 x 105 N/m2) /atm]
1 L-atm = 101.3 N-m = 101.3 J
W = 8 L-atm [101.3 J/L-atm]
W = 810.4 J
Along pathIBF,
the work done is still the area under the curve. Now we can describe that as the area of the rectangle BFDA plus the area of the triangle IBF.
W = ABFDA +AIBF
W = (1 atm)(2 L) +(1/2)(3 atm)(2 L)
W = 5 L-atm
W = 5 L-atm [101.3 J/L-atm]
W = 506.5 J
Along pathIAF,
There is no work done along the path IB; this is a constant volume process (this is also known as an isometric process). Along path BF, there is work done.
Wtot = WIB +WBF
Wtot = 0 + 2L-atm
Wtot = 2 L-atm
Wtot = 202.6J
Gas, along with liquid, solid, and plasma, is one of the four natural states of matter. A gas has neither a fixed shape nor a fixed volume. The gas's atoms or molecules fill the container. Even when gravity is present, the gas expands until it is uniformly distributed throughout the container.
Correct question is:
A gas expands from I to F along the three paths indicated in the figure below. Calculate the work done on the gas along each of the following paths.
(a) IAF (in J) =
(b) IF (in J) =
(c) IBF (in J) =
The images supporting question is attached below
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According to the Declaration of Independence, from where does government get its power?
from God
from a written constitution
from elected representatives
from the consent of the governed
The government derive its power according to the Declaration of Independence is the document that declare the freedom of the people. The document was approved by the Continental Congress on July 4, 1776.
Below are the main messages of the declaration of independence.
(1) God made all men equal and gave them the rights of life, liberty, and the pursuit of happiness.
(2) The main business of government is to protect these rights.
(3) If a government tries to withhold these rights, the people are free to revolt and to set up another government.
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the diameter of the wheel is 0.58 m. determine the value of the horizontal component of the force of the road on the wheel.
The road force on the wheel weigh is 690.
Which force moves the car on road?Your automobile advances under the influence of static friction. The power to turn the tires is provided by the engine, which pushes the vehicle rearward against the road.
Example:
The axle of the wheel that is in touch with the road receives a 200 mN torque from a car's engine.
The vehicle moves rightward at a steady speed:
The automobile wheel measures 0.58 meters in diameter. What does the horizontal component of the road force on the wheel weigh?
Radius: 0.29 m
When formula is used, we obtain
Force = Torque / Radius = 200/0.29
=690.
It is the necessary response as a result.
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A 240-mL cup of low‑fat milk contains 10 mg of cholesterol. Express the cholesterol concentration in the milk in kilograms per cubic meter.
Answer:
Approximately [tex]0.042\; {\rm kg \cdot m^{-3}}[/tex].
Explanation:
Note the unit conversion for mass:
[tex]1\; {\rm g} = 10^{3}\; {\rm mg}[/tex].
[tex]1\; {\rm kg} = 10^{3}\; {\rm g}[/tex].
Therefore:
[tex]\begin{aligned}& 10\; {\rm mg} \times \frac{1\; {\rm g}}{10^{3}\; {\rm mg}} \times \frac{1\; {\rm kg}}{10^{3}\; {\rm g}} \\ =\; & 10\; {\rm mg} \times \frac{1\; {\rm kg}}{10^{6}\; {\rm mg}} \\ =\; & 10^{-5}\; {\rm kg}\end{aligned}[/tex].
Similarly, for volume:
[tex]1\; {\rm mL} = 1\; {\rm cm^{3}}[/tex].
[tex]1\; {\rm m^{3}} = 10^{3}\; {\rm dm^{3}} = 10^{6}\; {\rm cm^{3}}[/tex].
Thus, [tex]1\; {\rm m^{3}} = 10^{6}\; {\rm mL}[/tex].
[tex]\begin{aligned}& 240\; {\rm L} \times \frac{1\; {\rm m^{3}}}{10^{6}\; {\rm mL}} = 2.40\times 10^{-4}\; {\rm m^{3}}\end{aligned}[/tex].
Divide mass by volume to find the mass-to-volume ratio:
[tex]\begin{aligned}\frac{10^{-5}\; {\rm kg}}{2.40 \times 10^{-4}\; {\rm m^{3}}} \approx 0.042\; {\rm kg \cdot m^{-3}}\end{aligned}[/tex].
14. which one of the following accurately describes the force of gravity? a. the force of gravity is slightly lower at the bottom of a mountain than it is at the top. b. the gravity acceleration is in the same direction as the force of gravity, and thus away from the center of the earth. c. the gravity acceleration is in the same direction as the force of gravity, and thus toward the center of the earth. d. the gravity acceleration has no effect on a body moving in directly the opposite direction of the force of gravity. mark for review (will be highlighted on the review page)
c. the gravity acceleration is in the same direction as the force of gravity, and thus toward the center of the earth: accurately describes the force of gravity.
What is gravity?The force that pulls items toward the centre of a planetary or other body is known as gravity. The gravitational pull maintains each of the planet in orbit about the sun. The degree to which a coordinate in space-time is invisibly bent determines the intensity of the gravitational "field" at any given place in space or time. Massive items tumble down these bends in the direction of one another. The stronger the attraction between items, the more matter there is, and the closer together things are. And unlike electricity and magnetism, which may either repel or attract, gravity always draws objects together.
Thus, correct option is: c
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how many coulombs of charge are on the electrons in a nickel coin? follow this method to find the answer.
A nickel coin contains 5.2 x 10^22 Ni atoms as coulombs of charge.
What is coulombs of charge?In the International System of Units, the unit of electric charge is the coulomb. It is equivalent to the electrical charge delivered by a 1 ampere constant current in 1 second in the current version of the SI. The amount of charge carried by a current of one amp for one second is measured in coulombs, which is the unit of measurement used in the SI for electric charge. It may also be a property of a substance that causes electrical and magnetic effects to occur. The symbol for it is C. According to math, 1 Coulomb equals 1 Ampere x 1/sec.
Here,
The mass of a nickel coin is 5 g.
1 mol of Ni weighs 58 g.
1 mol=6.022 x 10²³ atoms of Ni.
in 58 g,
=6.022 x 10²³ atoms of Ni
then in 5 g the number of Ni atoms = - 6.022 x 10²³ /58 x 5
= 5.2 x 10²² Ni atoms,
Therefore number of Ni atoms as coulombs of charge are 5.2 x 10²² atoms in a nickel coin.
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A soft-drink bottle resonates as air is blown across its top. what happens to the resonant frequency as the level of fluid in the bottle decreases?
Because a system's resonant frequency is related to its mass, the resonant frequency of a system falls as the level of fluid in the system drops.
What exactly is the distinction between frequency and resonant frequency?Natural frequency, as it is commonly understood, is the usual supply source frequency, which is often 50 or 60 hertz. The resonant frequency is 1/2pi multiplied by 1/LC.
Depending on where you reside, the natural frequency is either 50Hz or 60Hz. Resonance can happen at any multiple of the fundamental frequency (natural).
A larger amplitude of sound waves signifies a higher sound pressure and hence a bigger volume in acoustics. In general, resonant frequencies are unfavourable for loudspeakers.
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13. ssm The middle C string on a piano is under a tension of 944 N. The period and wavelength of a wave on this string are 3.82 ms and 1.26 m, respectively. Find the linear density of the string.
The linear density of the string is 2.86 x 10^-5 kg/m.
What is linear density?
Linear density, also known as linear mass density, is a measure of the mass of a material per unit length. It is typically used to describe the properties of thin, elongated objects such as strings, wires, and fibers. The unit of measurement for linear density is typically kilograms per meter (kg/m) or grams per centimeter (g/cm). It is calculated by dividing the mass of the material by its length.
To find the linear density of the string, we need to use the relationship between the tension, linear density, and wave properties, which is given by the equation:
Tension = (linear density) * (wave speed)^2
where wave speed is the product of the frequency and wavelength of the wave.
Given the tension, period and wavelength, we can find the linear density using the following steps:
Find the frequency of the wave using the period:frequency = 1 / period = 1 / 3.82 x 10^-3 s = 261.9 Hz
Find the wave speed using the wavelength and frequency:wave speed = wavelength * frequency = 1.26 m * 261.9 Hz = 331.9 m/s
Substitute the values into the equation:Tension = (linear density) * (wave speed)^2
944 N = (linear density) * (331.9 m/s)^2
Solve for linear density:linear density = Tension / (wave speed)^2 = 944 N / (331.9 m/s)^2 = 2.86 x 10^-5 kg/m
Therefore, the linear density of the string is 2.86 x 10^-5 kg/m.
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a technician needs to replace a failed power supply on a server. the server in question only has one power supply. the server contains two processors that need 100w, five hard drives that need 9w, and a gpu that uses 200w. which of the following power supplies should the technician use? A. 375w
B. 425w
C. 325w
D. 500w
The power supply that technician should use 500 W.
A power supply is a component that transforms the output of an ac power line into one or more constant dc outputs. A smooth voltage is created by filtering the ac voltage after it has first been rectified to create a pulsing dc. In spite of fluctuations in the ac line voltage or circuit loads, the voltage is finally regulated to produce a consistent output level.
The power use of the server as whole is,
100 W+ 5×9 W + 200 W
Power use=445 W.
So, the power should be more than the 445 W in order that there should not be any short circuit.
and from all the given options the power supply that is feasible is 500 W.
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500 W of power should be used by the technician.
One or more consistent dc outputs are produced from an ac power line's output by a component known as a power supply. After rectifying the ac voltage to produce a pulse dc, a smooth voltage is produced by filtering the result. Despite changes in the ac line voltage or circuit loads, the voltage is eventually controlled to create a constant output level.
The entire server's energy consumption is,
100 W+ 5×9 W + 200 W
Using 445 W of power.
Therefore, the power must be more than 445 W to prevent short circuits.
Choose the power supply that is practical from the possibilities presented
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The carbón dioxide is matter that is made up of
Through the decomposition of organic matter, CO₂ is released into the atmosphere as part of this natural process.
Is carbon dioxide a state of matter?One carbon atom is covalently doubly bound to two oxygen atoms in each of the molecules that make up carbon dioxide, which has the chemical formula CO 2.
At room temperature, it exists as a gas. In the atmosphere, carbon dioxide serves as a greenhouse gas because it absorbs infrared radiation despite being transparent to visible light. It has increased from pre-industrial levels of 280 ppm to a trace gas in the Earth's atmosphere at 421 parts per million (ppm), or roughly 0.04% by volume (as of May 2022).
The fundamental driver of both these elevated CO2 concentrations and climate change is the burning of fossil fuels. Groundwater, lakes, ice caps, and ocean all contain dissolved carbon dioxide.
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A horizontal 779 N merry-go-round of radius
1.28 m is started from rest by a constant
horizontal force of 43.1 N applied tangentially
to the merry-go-round.
Find the kinetic energy of the merry-go round after 2.5 s. The acceleration of gravity
is 9.8 m/s². Assume the merry-go-round is a solid cylinder.
Answer in units of J.
Answer:
576 joules
Hope this helped :)
If the mass of the box is 3.6 kg and it is accelerating with 4.2 m/s^2, What is the net force exerted on the box?
Explanation:
Force= mass × acceleration
= 3.6 × 4.2
= 15.12N
If the mass of the box is 3.6 kg and it is accelerating with 4.2 m/s², then the force exerted on the box is 15.12 N.
what is force?The definition of force is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. Every time two items interact, a force is exerted on each of the objects. The force is no longer felt by the two objects when the interaction ends. Only when there is interaction do forces actually exist.
The strong force, weak force, electromagnetic force, and gravitational force are the four fundamental forces operating in the universe. The formula of force is Force = mass × acceleration.
Hence, if the mass of the box is 3.6 kg and it is accelerating with 4.2 m/s², then the force exerted on the box is 15.12 N.
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a 11.8-kg cylinder rolls without slipping on a rough surface. at an instant when its center of gravity has a speed of 10.2 m/s, determine the following.
The answers are:
a.) The translational kinetic energy of its center of gravity: 638.144J
b.)The rotational kinetic energy about its center of gravity 319.072 J
c.) Its total kinetic energy 957.216 J
Given:
M = 11.8 kg cylinder
V = speed of center of gravity = 10.2m/s
(a) Translational kinetic energy = 1/2mv²
1/2x 11.8kg x 10.2²
= 11.8x108.16/2
= 1276.288/2
= 638.144 J
This is the translational energy
(b) Rotational energy =1/2Iw²
I = mv²/2
w = v/r
When we substitute
1/2[mv²/2][v/r]²
= 1/4mv²
= 1/4 x 11.8 x 10.2²
= 1276.288/4
= 319.072
This is the rotational energy
(c) Total kinetic energy:
We add the values of A and B above to get this.
638.144 J + 319.072 J
= 957.216J
Complete question: A 11.8-kg cylinder rolls without slipping on a rough surface. At an instant when its center of gravity has a speed of 10.2 m/s, determine the following. (a) the translational kinetic energy of its center of gravity (b) the rotational kinetic energy about its center of gravity (c) its total kinetic energy.
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Use the given values of n and p to find the minimum usual value and the maximum usual value μ
−
2
σ
. Round your answer to the nearest hundredth unless otherwise noted.
n = 248, p = ?
Question options:
a) Minimum: 75.64; maximum: 48.36
b) Minimum: 52.36; maximum: 71.64
c) Minimum: 55.18; maximum: 68.82
d) Minimum: 48.36; maximum: 75.64
Minimum: 75.64; maximum: 48.36 is the nearest hundredth unless otherwise noted.
What is p?The given values of n and p to find the minimum usual value and the maximum usual value μ
−2σ
n = 248, p = Detailed explanation:
Considering the characteristics of the binomial distribution
n = 248, p = 4/5
To determine the necessary values, we must determine the mean and the standard deviation.
The steps are listed below.
Identify the mean.
μ = n·p = 248*(4/5) = 570.4
Find the variation in 2.
σ² = np(1 - p) = 248*(4/5)*(1 - 4/5) =
Discover the standard deviation in 3.
Minimum: 75.64; maximum: 48.36
Minimum: 75.64; maximum: 48.36 the nearest hundredth unless otherwise noted.
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A block of mass 3.60 kg is placed against a horizontal spring of constant k = 795 N/m and pushed so the spring compresses by 0.0450 m. (a) What is the elastic potential energy of the block-spring system (in J)? (b) If the block is now released and the surface is frictionless, calculate the block's speed (in m/s) after leaving the spring
The initial elastic potential energy of the block-spring system is 17.88 joules. The final speed of the block is approximately 3.15 meters per second.
What is elastic potential energy?Elastic potential energy is energy stored in an object as a result of application of a force to deform an elastic object. The energy is stored until the force is removed and the object springs back to its original shape and size, doing work in the process.
By applying Hooke's law and definition of work, we define the elastic potential energy (Ug), measured in joules, by the following formula:
Ug = 1/2 × k × x²
where, k = Spring constant, measured in newtons per meter
x = Deformation of the spring, measured in meters
If we know that k = 795 N/m and x = 0.045m, then the elastic potential energy is:
Ug = 1/2 × 795 × 0.045
Ug = 17.88 Joules
The initial elastic potential energy of the block-spring system is 17.88 joules.
b) According to the Principle of Energy Conservation, the initial elastic potential energy of the block-spring system becomes into translational kinetic energy, that is:
Ug = 1/2 × m × v²
where, m = Mass measured in kilograms,
v = Final speed, measured in meters per second.
Then, the final speed is cleared:
v = [tex]\sqrt{2Ug/m}[/tex]
If we know that Ug = 17.88 Joules and m = 3.60kg, then the final speed of the block is:
v = √(2 × 17.88J)/ 3.60kg
v = 3.15m/s.
The final speed of the block is approximately 3.15 meters per second.
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can electricity be conducted safely underwater and how?
Answer:
Yes
Explanation:
By adding salt.
1 mol of an ideal gas is placed in a sealed container. Which of the following would NOT cause the pressure to double? a. decreasing the volume by a factor of 2 b. adding another mol of gas c. increasing the temperature from 100oC to 200oC
In this situation, the pressure will change in direct proportion to the temperature. Double both the pressure and the temperature.
What happens when Boyle's law doubles the pressure?When the temperature is held constant, pressure decreases as volume increases and vice versa. As a result, when the volume is cut in half, the pressure is also cut in half, and vice versa.
What does Boyle's law increase?According to Boyle's Law, pressure and volume have an inverse relationship. The volume reduces as the pressure rises, and the volume rises as the pressure falls.
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after newton's proverbial apple fell from the tree, which hypothesis statement below would have been appropriate to test?
According to legend, young Isaac Newton came up with first law of gravity after getting hit on the head by a piece of fruit that had fallen from an apple tree while he was sitting underneath it.
What rules govern gravity?Newton's gravitational law states that every piece of matter in the universe is drawn to every other piece with a force than varies directly with the mass-to-mass ratio and inversely with the distance between them.
Which three gravitational laws are there?The product of the masses of two objects multiplied by two is the gravitational force between them. The gravitational pull here between objects will also triple if one of them triples in mass. When two objects' masses double, for example, the gravitational force between them is multiplied by two, and so on.
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An amusement park ride consists of a rotating circular platform 10.1 m in diameter from which 10 kg seats are suspended at the end of 3.6 m massless chains. When the system ro-tates, the chains make an angle of 15.9° with the vertical.
The acceleration of gravity is 9.8 m/s?
Your re
What is the speed of each seat?
Answer in units of m/s.
The speed of each seat is 3.2 m/s.
What is the speed of each seat?
The speed of each seat is calculated by applying Newton's second law of motion as shown below.
T cos (θ) = mg
T sin (θ) = mv² / r
where;
v is the speed of each seatT is the tension in the ropem is the mass of each seatg is acceleration due to gravityT = mg / cos(θ)
T = ( 10 x 9.8 ) / ( cos 15.9 )
T = 101.9 N
The speed of each seat is calculated as;
v² = (Tr sin(θ) ) / m
v = √ [ (Tr sin(θ) ) / m ]
v = √ [ (101.9 x 3.6 x sin(15.9) ) / 10 ]
v = 3.2 m/s
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all forms of matter have specific temperatures which they melt phazes condense or vaporize.
The particles in a liquid have enough energy to transform into gases at a specific temperature. Boiling (or vapourization) is the conversion of a liquid into a gas; condensation is the conversion of a gas into a liquid.
Melting is the process through which a solid transforms into a liquid (an older term that you may see sometimes is fusion). It is known as solidification when a liquid turns into a solid. Any pure substance's melting point, or the temperature at which melting starts, is a property of that substance. For a solid to turn into a liquid, energy is needed. Each pure material requires a specific quantity of energy to transform from a solid to a liquid. The symbol for this quantity, Hfus, stands for the substance's enthalpy of fusion (also known as heat of fusion). In Table 10.2, "Enthalpies of Fusion for Various Substances," a number of Hfus values are provided;
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according to kinetic/collision energy, when are reactants more lielky to have sufficient energy to undergo a reaction
According to collision theory, the quantity of reactant molecule collisions determines how quickly a chemical reaction proceeds. The pace of reaction increases with the frequency of reactant-molecule collisions.
Under what situations will greater energy collisions between the reactants be more likely?The average pace of particles increases with temperature, which increases the rate of particle collisions. The average kinetic power of collisions increases with temperature, increasing the proportion of collisions that require the least amount of energy to react.
Which of the following conditions must be met for a reaction to occur when two reactant particles collide?Reactant particles need to have a certain minimum energy in order to make an efficient collision. The activation energy is the energy that starts the reaction.
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directions: for the question or incomplete statement below, two of the suggested answers are correct. for this question, you must select both correct choices to earn credit. no partial credit will be earned if only one correct choice is selected. select the two that are best in each case. a school library allows students to borrow laptops. a computer program is used to count the number of times a particular laptop has been borrowed from the library open parenthesis, borrows, close parenthesis and the number of times the same laptop has been returned to the library open parenthesis, returns, close parenthesis. which of the following indicate that a particular laptop is not currently borrowed?
-Borrows = 0 , -Returns > 0, Since these two statements have the same truth value, they are both indicating that a particular laptop is not currently borrowed.
What is Equivalence theory?
This question is using the Theory of Equivalence, which states that two statements are logically equivalent if they have the same truth value.
In this case, the two statements are:
1) Borrows = 0
2) Returns > 0
Both choices indicate that a particular laptop is not currently borrowed from the library.
Borrows = 0 indicates that the laptop has not been borrowed at all. Since the library keeps track of the number of times a laptop is borrowed, if the number is zero, then it has not been borrowed.
Returns > 0 indicates that the laptop has been borrowed before, but it is not currently borrowed.
Since the library keeps track of the number of times a laptop is returned, if the number is greater than zero, then it has been returned and is therefore not currently borrowed.
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a box slides down a frictionless ramp. it begins at rest. the ramp has an incline of 40.0 degrees, find how long it takes to reach 1.00m/s.'
A box slides down a frictionless ramp, then it takes approximately 0.87 seconds for the box to reach 1.00 m/s.
What is meant by friction?The force resisting relative motion of solid surfaces, fluid layers, and material elements sliding against each other is called friction.
As, v^2 = u^2 + 2as
Given, v = final velocity = 1.00 m/s ; u = initial velocity = 0 m/s (since the box is at rest) ; a = acceleration due to gravity = 9.8 m/s^2 and s = distance covered = 1.00 m
So, s = 1.00 m = x x sin(40.0 degrees)
x = 1.00 m / sin(40.0 degrees)
(1.00 m/s)^2 = 0^2 + 2(9.8 m/s^2) (1.00 m / sin(40.0 degrees))
t = √((1.00 m/s)^2 - 2(9.8 m/s^2) (1.00 m / sin(40.0 degrees)) )/ (2(9.8 m/s^2))
Hence, t ≈ 0.87 sec
It takes approximately 0.87 seconds for the box to reach 1.00 m/s.
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calculate mechanical advantage of a machine whoch needs an effort of 5n to lift a load of 55n
Answer:
11
Explanation:
MA = Fout / Fin = 55 N / 5 N = 11
State the reason why the magnitude of the Sun’s gravitational force on Pluto is greater than the magnitude of the Sun’s gravitational force on Charon.
Pluto masses 1.3e22 kg, and its average distance from the sun is about 6e15 km. The sun’s mass is 2e30 kg. G is 6.7e−11 m^3 / kg⋅s^2.
What is meant by mass?
A body's mass is an inherent quality. Prior to the discovery of the atom and particle physics, it was widely considered to be tied to the amount of matter in a physical body.It was discovered that, despite having the same amount of matter in theory, different atoms and elementary particles have varied masses.There are various conceptions of mass in contemporary physics that are theoretically different but physically equivalent.The resistance of the body to acceleration (change of velocity) in the presence of a net force can be measured experimentally as mass.The gravitational pull an object has on other bodies is also influenced by its mass.So the force of gravity is
f = G M1 M2 / d^2
= 6.7e-11 x 1.3e22 x 2e30 / 5e15^2
= .7e11 N = 70 billion newtons.
One might say, not insignificant.
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A golf ball is struck with a velocity of 80 ft/s as shown. Determine the distance d to where it will land. Ans: d= 166 ft
A golf ball will travel 166 feet before landing if it is struck with an 80 ft/s velocity.
What is velocity?The directional speed of an object in motion, as measured by a specific unit of time and observed from a specific point of reference, is what is referred to as velocity. The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate. Speed is the absence of direction; velocity is the presence of direction. Since velocity is a vector quantity, we must specify both the magnitude (the speed) and the direction of travel when expressing it.
Here,
(Va)x= 80cos(10+45)°= 44.886
(Va)y= 80sin(10+45)°= 65.532
S=So + Vot + 1/2at^2
d sin 10°= 0 + 65.532t + 1/2 (-32.2)t^2
0.17d= 0 + 65.532t + (-16.1)t^2
Solving the equation gives,
d=166ft
t= 3.57seconds
The distance d to where it will land is 166 feet when a golf ball is struck with a velocity of 80 ft/s.
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A bicycle tire is spinning clockwise at 3.40 rad/s. During a time period Δt = 2.50 s, the tire is stopped and spun in the opposite (counterclockwise) direction, also at 3.40 rad/s. Calculate the change in the tire's angular velocity Δω and the tire's average angular acceleration αav. (Indicate the direction with the signs of your answers.)
a) The change in the angular velocity is - 3.40 rad/s.
b) The angular acceleration is -1.36rad/s^2.
What is the change in the angular velocity?We have to note that the change in the angular velocity would be obtain as the difference between the initial and the final angular velocity of the bicycle tire.
Then we would have that;
Change in the angular velocity = 0 rad/s - 3.40 rad/s = - 3.40 rad/s
We know that the angular acceleration = Change in the angular velocity/Time
= - 3.40 rad/s/2.5 s
= -1.36rad/s^2
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A small air compressor operates on a 2.9 hp (horsepower) electric motor for 4.9 hours a day. If electricity costs 22 cents per kilowatt-hour, how much does it cost to run the compressor each day?
Answer in units of cents
The amount it take to run the compressor if the electricity cost 22 cents per kilowatt-hour is 233.21 cents.
What is kilowatt-hour?A kilowatt-hour is a unit of energy: one kilowatt of power for one hour. In terms of SI derived units with special names, it equals 3.6 megajoules (MJ).
To calculate the the amount it takes to run the compressor daily, we use the formula below.
Formula:
A = PtC/1000............ Equation 1Where:
A = Amount it takes the run the compressor dailyP = Power of the compressor = 2.9 hp = 2.9×746 = 2163.4 Wt = Time = 4.9 hours C = Electricity cost = 22 cents per kilowatt-hourSubstitute these values into equation 1
A = 2163.4×4.9×22/1000A = 233.21 centsHence, the amount is 233.21 cents.
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from the following statements about mechanical waves, identify those that are true for transverse mechanical waves only, those that are true for longitudinal mechanical waves only, and those that are true for both types of waves. drag each item to the appropriate bin.
When a wave travels through a medium, the particles in that medium vibrate in a direction perpendicular to the direction the wave travels it is a transverse mechanical waves only.
When a wave travels through a medium, the particles in that medium vibrate in a direction parallel to the direction the wave travels it is a longitudinal mechanical waves only .
Then a wave travels through a medium, the wave speed will depend on an inertial property of that medium it is for both transverse and longitudinal mechanical waves .
A transverse wave is a type of wave in which the motion of the wave's motion is perpendicular to the position of the medium's particles at any given time. Move one end of a Slinky (whose other end is fixed) to the left and right of the Slinky rather than back and forth to view an example. Example - waves on surface of waterA mechanical wave is a wave in physics that involves the oscillation of matter and transmits energy across a medium. While waves can travel great distances, the transmission medium—the material—can only move so far. Example - Sound wavesLearn more about transverse mechanical waves
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You pull your t-shirt out of the washing machine and note that 1596 particles have become attached, each of which could be either an electron or a proton. Your t-shirt has a net charge of − 3.14 X 10 ^-17 C. How many electrons are attached to your t-shirt? What is the mass of the particles attached to your t-shirt?
(a) The number of electrons on the T-shirt is 700 electrons.
(b) The mass of the particle attached to your T-shirt is 1.5 x 10⁻²⁴ kg.
What is the number of electrons on the T-shirt?
The number of electrons on the T-shirt is calculated as follows;
Let the number of electrons = e
Let the number of protons = p
p + e = 1596 ------ (1)
p = 1596 - e ------ (2)
qp - qe = -3.14 x 10⁻¹⁷ ------- (3 )
The equation (3) can be simplified as;
q ( p - e ) = -3.14 x 10⁻¹⁷ -------- (4)
Now substitute the value of p into (4)
q (1596 - e - e) = -3.14 x 10⁻¹⁷
q (1596 - 2e) = -3.14 x 10⁻¹⁷
1596 - 2e = ( -3.14 x 10⁻¹⁷ ) / ( q )
1596 - 2e = ( -3.14 x 10⁻¹⁷ ) / ( 1.6 x 10⁻¹⁹ )
1596 - 2e = 196.25
2e = 1596 - 196.25
2e = 1399.75
e = 1399.75 / 2
e = 700 electrons
The mass of the particle attached to your T-shirt is calculated as follows;
m = (700 x me ) + ( 896 x mp)
m = ( 700 x 9.1 x 10⁻³¹ ) + ( 896 x 1.67 x 10⁻²⁷ )
m = 1.5 x 10⁻²⁴ kg
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