Using the principle of 'least count', the uncertainty on the each of your measurements (in both cm and in) 0.1 cm.
According to the concept of significant figures, the last digit is considered to be the uncertain digit in a measurement. Significant figures are generally used for establishment of a number which is presented in the form of digits. These digits give a lot of meaningful representation to the numbers.
The significant figures are the most significant digits that convey the meaning according to the accuracy. These provide provides a proper precision to the numbers and hence are called as significant numbers. There are numerous rules for counting significant figures which are as follows:
1)All non-zero digits are significant.
2)All zeroes which essentially occur between non-zero digits are significant.
3)All zeroes to the left and right of any non-zero digit are not significant.
4) All zeroes on right of decimal are significant if a non-zero number follows them.
5)All zeroes on right side of non-zero digit are significant.
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The uncertainty on the length of the shoelace is 0.05 cm or 0.03125 in, depending on which unit is used.
The principle of least count states that the uncertainty in a measurement is equal to half the smallest division on the measuring tool. The ruler has two scales, one in centimeters and the other in inches.
The smallest division on the centimeter scale is 1 mm, which means the uncertainty is half of that, or 0.5 mm. Converting to centimeters, the uncertainty is 0.05 cm.
The smallest division on the inch scale is 1/16 inch, which means the uncertainty is half of that, or 1/32 inch. Converting to inches, the uncertainty is 0.03125 in.
Therefore, the uncertainty on the length of the shoelace is 0.05 cm or 0.03125 in, depending on which unit is used.
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to double the total energy of a mass-spring system oscillating in simple harmonic motion, the amplitude must increase by a factor of?
To square-root the angular frequency to double the total energy of a mass oscillating at the end of a spring with amplitude A. 2. Amplify the signal by the square root of 2.
What is SHM?Simple harmonic motion is a periodic motion in which the acceleration of each individual particle is proportionate to its displacement and is aimed at the mean position.
This is due to the fact that the total energy of a straightforward harmonic oscillator is inversely proportional to its amplitude. The total energy is quadrupled (i.e., doubled squared) if the amplitude is doubled, which is the factor required to double the total energy.
The amplitude must therefore rise by the square root of 2 to twice the total energy.
Therefore, The amplitude of a mass-spring system oscillating in simple harmonic motion must rise by a factor of $sqrt2$, or around 1.414, to double the total energy of the system.
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Match the words in the left-hand column to the appropriate blank in the sentences in the right-hand column. use each word only once.- corona- convection zone- core- photosphere- radiation zone- chromosphere1. nuclear fusion of hydrogen into helium occurs in the ______2. energy moves through the sun's ______ by means of the rising of hot gas and falling of cooler gas. 3. nearly all the visible light we see from the sun is emitted from the ______4. most of the sun's ultraviolet light is emitted from the narrow layer called the ______ where temperature increases with altitude. 5. we can see the sun's ______ most easily during total solar eclipses.6. the ______ is the layer of the sun between its core and convection zone.
Nuclear fusion is the process that occurs when two or more atomic nuclei unite. In below given way words can be matched.
What is nuclear fusion?Nuclear fusion is the process that occurs when two or more atomic nuclei unite to generate one or more distinct atomic nuclei containing subatomic particles (neutrons or protons). The mass difference between both the products and the reactants manifests itself as either energy release or absorption.
1. Nuclear fusion of hydrogen into helium occurs in the CORE.
2. Energy moves through the sun's CONVECTION ZONE by means of the rising of hot gas and falling of cooler gas.
3. Nearly all the visible light we see from the sun is emitted from the PHOTOSPHERE.
4. Most of the sun's ultraviolet light is emitted from the narrow layer called the CHROMOSPHERE where temperature increases with altitude.
5. We can see the sun's CORONA most easily during total solar eclipses.
6. The RADIATION ZONE is the layer of the sun between its core and convection zone.
Therefore, in above given way words can be matched.
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a plane wall is 250mm thick and it's wall area is 4.5m^2. if the thermal conductivity is 9.35w/m°c and surface temperature are steady at 150°c and 40°c. calculate the heat flow across the plane wall and the temperature gradient in the flow direction
The temperature gradient in the flow of direction is 294525 W.
What is Temperature gradient?A temperature gradient is the gradual variance in temperature with distance. The slope of the gradient is consistent within a material. A gradient is established anytime two materials at different temperatures are in physical contact with each other.
Q= T/( L/ KA)
Q= ( 1500 − 450) / 0.15 / 9.35v * 4.35)
= 294525 W
Units of measure of temperature gradients are degrees per unit distance, such as °F per inch or °C per meter.
Many temperature gradients exist naturally, while others are created. The largest temperature gradient on Earth is the Earth itself. Q= T/Ka.
Therefore, The temperature gradient in the flow of direction is 294525 W.
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The number of crests passing a given point in one second is (where T is time period and v is frequency)A. TB. vC. 2TD 2v
The right response is B. v, where v stands for the wave's frequency.
What is the sound frequency?Frequency, also referred to as pitch, is the rate at which a sound pressure wave repeats itself. A bullfrog cry is significantly lower in frequency than a whistle, while a cricket is much lower in frequency than a drumbeat. With decreasing frequency, the oscillations become less prominent.
What is frequency—light or sound?The ability to identify one sound from another and one colour of light depends on frequency. Red light, for instance, differs from blue light because of its lower frequency. Dogs are able to sense sounds, thus they can hear a whistle that you cannot.
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Your annoying little brother is dropping rocks out of his bedroom window on the 2nd floor. You are on the ground floor and watch a rock fall past the patio door onto the ground below. In this problem, ignore air resistance.
If the rock takes 0.28 s to cross the 2.1-m-high glass door, from what height above the top of the door was it dropped?
The rock was dropped from a height of approximately 0.862 meters above the top of the glass door.
We can use the kinematic equations of motion to solve this problem. In particular, we can use the equation:
y = vi*t + [tex](1/2)at^2[/tex]
where:
y is the distance the rock falls
vi is the initial velocity of the rock (which is 0, since the rock is dropped from rest)
a is the acceleration due to gravity (which is approximately [tex]-9.81 m/s^2[/tex], since the rock is falling downwards)
t is the time it takes for the rock to fall the distance y.
We know that the rock falls a total distance of 2.1 meters (the height of the glass door), and it takes 0.28 seconds to fall this distance. Therefore, we can plug in these values and solve for the initial height:
2.1 m = 0 + [tex](1/2)( -9.81 m/s^2)(0.28 s)^2[/tex]+ vi*(0.28 s)
Simplifying and solving for vi, we get:
vi = (2.1 m - (1/2)[tex](-9.81 m/s^2)(0.28 s)^2)[/tex] / 0.28 s
vi = 6.14 m/s
So the initial velocity of the rock when it was dropped was 6.14 m/s. Now we can use the kinematic equation:
y = vi*t + [tex](1/2)at^2[/tex]
To solve for the initial height. We know the initial velocity and the time it took for the rock to fall past the glass door (0.28 seconds), so we can plug in these values and solve for y:
y = vit + [tex](1/2)at^2[/tex]
y = (6.14 m/s)(0.28 s) + [tex](1/2)(-9.81 m/s^2)(0.28 s)^2[/tex]
y = 0.862 m
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the silicon sample has been uniformly illuminated with light resulting in an optical generation rate is?
The optical generation rate of a silicon sample illuminated with light is the rate at which photogenerated carriers are created in the sample.
Optical generation rate is typically expressed in units of A/cm2. The optical generation rate is a function of the light intensity, the wavelength of the light, and the material properties of the silicon sample. The rate of generation of electron-hole pairs through photon absorption is known as "optical generation rate". Optical generation rate is usually denoted by G(x) and in unit of electrons/cm³s.
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true/false. develop an expression for the pressure variation in a liquid in which the specific weight increases with depth, h, as where k is a constant and is the specific weight at the free surface.
Develop expressions for variations in pressure in fluids ⇒ p = K[tex]\frac{h^2}{2}[/tex] + γ₀h
Since we are given a function of specific weight value, which varies with height, we have to define a differential change in pressure over an infinitesimally small change in height:
dp = γdh
Substitute the function:
dp = (Kh+γ₀) dh
This relationship allows us to integrate pressure changes, over small height changes, and obtain the total pressure change:
p = ∫(Kh+γ₀)dh
p = [tex]\int\limits^h_0[/tex]Khdh + [tex]\int\limits^h_0[/tex]γ₀dh
p = Kh²/2[tex]]_0^h[/tex] + γ₀h[tex]]_0^h[/tex]
p = K[tex]\frac{h^2}{2}[/tex] + γ₀h
Your question is incomplete but most probably your full question was:
Develop an expression for the pressure variation in a liquid in which the specific weight increases with depth, h, as γ = Kh+γ₀ where K is a constant and yo is the specific weight at the free surface.
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The figure is a cross-section of two infinite lines of charge that extend out of the page. Do both have a linear charge density?
Find an expression for the electric field strength E at height y above the midpoint between the lines. Express your answer in terms of the variables?
y, d, and appropriate constants.
At any point on a line charge distribution, the linear charge density is the amount of charge per unit length, expressed in coulombs per meter (Cm1). Electric charge can be positive or negative, hence charge density can also be positive or negative.
What is a linear charge density?Linear charge density is a measure of the amount of electric charge per unit length along a line or wire. It is denoted by the symbol λ (lambda) and has units of coulombs per meter (C/m).
To calculate the linear charge density, you divide the total charge by the length of the line or wire. For example, if a wire has a total charge of 5 coulombs and a length of 2 meters, then the linear charge density would be:
λ = 5 C / 2 m = 2.5 C/m
P.S: Your information is incomplete and an overview was given.
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The illustration below shows two boxes on opposite ends of a massless board that is 3.0 m long. The board is supported in the middle by a fulcrum. The box on the left has a mass (m) of 25 kg, and the box on the right has a mass (m2) of 15 kg. How far should the ful- crum be positioned from the left side of the board in order to balance the masses horizontally? A. 0.38 m C. 1.1 m B. 0.60 m (D. 1.9 m) 6 m2
The fulcrum should be positioned 1.125 m from the left side of the board to balance the masses horizontally. The closest answer choice is (C) 1.1 m.
To balance the masses horizontally, the torque on the left of the fulcrum must be equal to the torque on the right of the fulcrum. The torque on each side is given by the product of the force and the distance from the fulcrum.
On the left side, the force is the weight of the box, which is mg = (25 kg)(9.8 m/s²) = 245 N. Let x be the distance from the left side of the board to the fulcrum.
On the right side, the force is the weight of the box, which is m2g = (15 kg)(9.8 m/s²) = 147 N. The distance from the fulcrum to the right side of the board is 3.0 m - x.
Setting the torques equal, we have:
245 N x = 147 N (3.0 m - x)
Simplifying and solving for x, we get:
245x = 441 - 147x
392x = 441
x = 1.125 m
Therefore, the fulcrum should be positioned 1.125 m from the left side of the board to balance the masses horizontally. The closest answer choice is (C) 1.1 m.
In this problem, the board is acting as a lever with the fulcrum in the middle. For the board to be in rotational equilibrium, the clockwise and counterclockwise torques acting on the board must be equal. The torque due to the weight of the first box (τ1) is given by τ1 = m1 * g * d, where m1 is the mass of the first box, g is the acceleration due to gravity, and d is the distance from the fulcrum to the first box. Similarly, the torque due to the weight of the second box (τ2) is given by τ2 = m2 * g * (L - d), where m2 is the mass of the second box and L is the length of the board.
At equilibrium, τ1 = τ2, which can be solved to find the value of d that balances the masses horizontally.
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Calculate the work that must be done on charges brought from infinity to charge a spherical shell of radius R = 0.100 m to a total charge Q = 125 μC.
The work that must be done on charges brought from infinity to charge a spherical shell of radius R = 0.100 m to a total charge Q = 125 μC = 1.12 x 10⁶ J
The potential difference of the charge is the amount of work required to bring a unit positive charge from infinity.
V = E x d
= k (q/r)
where;
V = The potential difference (J)
E = The field potential (N/C)
d = The distance that the charge (m)
k = Coulomb constant (8.99 x 10⁹ Nm²/C²)
q = The unit charge
r = radius
Hence,
The work done:
= (8.99 x 10⁹ Nm²/C²) (125 x 10–⁶) / 0.1
= 1.12 x 10⁶ J
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a plane has an eastward heading at a speed of 156 m/s (relative to the air). a 20.0 m/s wind is blowing southward while the plane is flying. the velocity of the plane relative to the ground is
Answer:
Below
Explanation:
The 156 and 20 m/s speeds form the LEGS of a right triangle....you want to find the resultant hypotenuse....so use pythagorean theorem
Resultant ^2 = 156 ^2 + 20^2
resultant ^2 = 24736
Resultant = 157.3 m/s magnitude
Multiple Choice: Suppose the electric field is zero in a certain region of space. Which of the following statements best describes the electric potential in this region?
a) The electric potential is zero everywhere in this region.
b) The electric potential is zero at at least one point in this region.
c) The electric potential is constant everywhere in this region.
d) There is not enough information given to distingush which of the above answers is correct.
Option c) is correct as in a region where electric field is zero, electric potential is constant and independent region location.
The statement that best describes the electric potential in a region of space where the electric field is zero is (c) the electric potential is constant everywhere in this region.
This can be explained by the fact that:
electric potential is amount of work done to get a unit charge from infinity to a particular point in electric field. When electric field is zero, there's zero force acting on charge and therefore work done is zero.
In such a scenario, the electric potential is said to be constant throughout the region because the amount of work required to move as charge one to another point doesn't depend on path. Any path will have no charge and thus potential difference will become zero.
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The kinetic energy for a moving object is given by K E = 1/2 m v^2. Which of the following gives the correct units for energy?kg·m²/s²
The correct units for kinetic energy is, kg*m^2/s^2.
Units can be derived by looking at the units of the equation for kinetic energy: K E = 1/2 m v^2. The mass (m) is typically measured in kilograms (kg), while the velocity (v) is measured in meters per second (m/s). Squaring velocity gives units of m^2/s^2. Multiplying by mass and the 1/2 coefficient gives units of kg*m^2/s^2, which is equivalent to joules (J).
Joules are a derived unit of energy, defined as the amount of work done when a force of one newton (N) is applied over a distance of one meter (m). They are widely used in physics and engineering to quantify energy, as well as other quantities like work, power, and heat.
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--The complete question is, The kinetic energy for a moving object is given by K E = 1/2 m v^2. Which of the following gives the correct units for energy?
a. m/s
b. kg. m/s^2
c. kg. m s^2
d. kg. m^2/s^2--
The kinetic energy is 4400 joules. The mass is 29 kg. What is the speed?
Answer:F=6*10\4N
Explanation:the 4 is th sqaer
the truck at c is pulling the log at b via the pulley system shown. after the truck has moved 4 ft to the right, how far has the log moved? if at that instant, the truck has a velocity of 2 ft/s to the right, what is the velocity of the log? if at that instant the truck has an acceleration of 0.5 ft/s2 to the right, what is the acceleration of the log
Finally, let's consider the accelerations of the truck and the log. Since the cable connecting them is not slack or stretched, the truck and the log have the same acceleration. Therefore, at the instant when the truck has an acceleration of 0.5 ft/s2 to the right, the log also has an acceleration of 0.5 ft/s2 to the right.
To solve this problem, we need to apply the principles of kinematics and pulley systems. Let's assume that the pulley is ideal (i.e., frictionless and massless) and that the cable connecting the truck and the log does not stretch or slip.
First, let's consider the distances moved by the truck and the log. Since the cable does not stretch, the distance moved by the truck is equal to the distance moved by the log. Therefore, after the truck has moved 4 ft to the right, the log has also moved 4 ft to the right.
Next, let's consider the velocities of the truck and the log. Since the cable connecting them is not slack or stretched, the truck and the log have the same velocity. Therefore, at the instant when the truck has a velocity of 2 ft/s to the right, the log also has a velocity of 2 ft/s to the right.
Therefore, at the instant when the truck has an acceleration of 0.5 ft/s2 to the right, the log also has an acceleration of 0.5 ft/s2 to the right.
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if you are sitting 8.20m from a 70.0 w speaker what is the intensity of the sound (treat the speaker as a point source.) (Unit=W/m^2)
8.20 meters away from the speaker, there is roughly 0.092 W/m2 of sound intensity.
What is a sound's intensity, using an example?
Since sound is perceived on a logarithmic scale, a rise of 10 dB corresponds to an intensity that is 10 times stronger. For instance, the intensity of the sound of the waves at the coast is 1,000 times greater than that of a whisper, or an increase of 30 dB.
How would you describe the sound's intensity?The following equation can be used to calculate sound intensity: I=Δp22ρvw. P stands for pressure change or amplitude, D stands for material density, and VW stands for measured sound speed. The more volume you use The greater the wave oscillation, the louder your sound will be.
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Answer: .083
Explanation:
acellus
Question 10 of 10
A car drives to the right. There is a large amount of air resistance, and the
car's engine provides the car's forward motion. Which force on the free-body
diagram below represents the weight of the car?
A. Force C
B. Force B
C. Force D
D. Force A
The free-body diagram that will represent the weight of the car is the one in which the weight of the car points downwards.
What are free-body diagrams?Free-body diagrams are diagrams used in physics and engineering to represent an object and the forces acting on it. They are used to analyze the forces and determine the net force acting on an object, which is then used to determine the object's acceleration and motion.
The free-body diagram of the car will be as follows:
a large amount of air resistance - acts to the leftcar's engine provides the car's forward motion - acts to the rightweight of the car - acts downwardsnormal reaction - acts upwardsLearn more about free-body diagrams at: https://brainly.com/question/17849049
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As a 6 x 102 kg object is pushed horizontally with a force of 1 x 102 N, it gains 5 x 102 J of kinetic energy. Through what distance did the force act?
The force acted through a distance of 5 meters.
How is force related to the surface area?Force and surface area are related through pressure, defined as the force per unit area. Force is inversely proportional to the surface area over which the force is distributed. If the surface area is increased, the pressure exerted by a given force will decrease; if the surface area is decreased, the pressure will increase.
How do you calculate pressure?Pressure is defined as the force per unit area and is typically measured in units of pascals (Pa) or pounds per square inch (psi). The formula for calculating pressure is Pressure (P) = Force (F) / Area (A).
As we know:
F * d = ΔK
Solving for d, we get:
d = ΔK / F
Substituting the given values, we get:
d = (5 x 10² J) / (1 x 10² N)
d = 5 meters
Therefore, the force acted through a distance of 5 meters.
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at a lab investigating fire extinguisher foams, a heavy ball is accidentally dropped into a deep vat of foam from a crane 5.80 m above the foam. after entering the foam, it sinks to the bottom with a constant velocity equal to the velocity with which it hit the foam. the ball reaches the bottom 5.00 s after it is released.How deep is the vat?
The depth pressure of the vat obtained is 44.076 m.
What is the colour code for fire extinguishers?Extinguisher Type hue of the band acceptable for (class of fire) Comments All Red Water Unsafe around other types of fire. BA Foam Blue Unsafe around other types of fire. Class A fires can also be put out with Powder White B, (E), or "AB(E)" type powder. Dioxide of carbon (E) Black, B Watch out for discharge pressure.
Time from the crane to the bottom of the vat (t) = 3.20 s
H = ½gt²
H = ½ × 9.8 × 3.2²
H = 4.9 × 10.24
H = 50.176 m
Height (H) = 50.176 m from crane to vat's bottom
Crane's height above the vat (h) is 6.10 metres
Depth of vat = H – h
Depth of vat = 50.176 – 6.10
Depth of vat = 44.076 m
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Part A
Sort each of the astronomical questions below into the appropriate bin based on the type of observation you would need to perform to answer it.
Imaging: How large is the Andromeda Galaxy? What are the major surface features of Mars? Are stars in the Orion Nebula surrounded by gas?
Spectroscopy: What is the chemical composition of the Crab Nebula? What is the temperature of Jupiter's atmosphere? Is the star Vega moving toward us or away from us?
Timing: Does the star Mira vary in brightness? Is the X-ray emission from the galactic center steady or changing?
The nebula is the closest big star-forming zone to Earth but is still 1,500 light-years away, giving it a moderately bright apparent brightness of 4.
What is the Orion Nebula like, in the opinion?The Orion Nebula, sometimes referred to as Mass 42, M42, also NGC 1976, is a diffused nebula below Orion's Belt with a greenish hue. Several of the sharpest nebulae, it may be seen in the sky at night with the unaided eye.
For what is Orion most well-known?One of the clearest and most familiar constellation inside the sky is the one that bears the name of the hunt from Greek mythology. According to the astronomy website Astronomy Trek, Orion contains Betelgeuse (Alpha Orionis) and Rigel (Beta Orionis), 2 of the 10 bright stars in the sky.
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what must be a particle's charge-to-mass ratio if the magnitude of the gravitational force between two of these particles is equal to the magnitude of electric force between them
The ratio of the charge on each particle to its mass must be equal when the magnitude of the gravitational force between two of these particles is equal to the magnitude of the electric force between them.
What does magnitude mean?The term “magnitude” refers to the size or quantity of a physical quantity, without taking into account its direction. It is a scalar quantity, meaning it has only a numerical value and no associated direction.
For example, the magnitude of a vector quantity like velocity, which has both a magnitude and direction, refers only to its numerical value, without regard to its direction.
Similarly, the magnitude of a force, electric field, magnetic field, or any other vector quantity refers to the strength or intensity of that quantity, regardless of its direction.
When the gravitational and electric forces between two particles are equal in strength, the following equation describes these forces:
Gravitational force:
[tex]F_g = G\times \frac{(m1 m2)}{(r_2)}[/tex]
Electric force:
[tex]F_e = K\times \frac{(q1 q2)}{(r_2)}[/tex]
Where G is the gravitational constant, k is the Coulomb constant, m1 and m2 are the masses of the particles, q1 and q2 are their charges, and r is the distance between them.
Since, the charge-to-mass ratio for the particles is needed, let's rearrange the equations as follows:
(1) [tex]q_1\times q_2 = F_e\times \frac{r_2}{k}[/tex]
(2) [tex]m_1\times m_2 = F_g\times \frac{r_2}{k}[/tex]
Divide the first equation by the second equation
[tex](q1 \times q2) / (m1 \times m2) = (Fe / Fg) \times (G / k)[/tex]
This expression has to be equal to 1, so can set
[tex](Fe / Fg) \times (G / k) = 1[/tex]
Substituting the expressions for Fg and Fe,
Rearrange the equation
Therefore, This means that the charge-to-mass ratio for the two particles must be the same. In other words, the ratio of the charge on each particle to its mass must be equal.
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determine the displacement of the log if the truck at c pulls the cable 10 ft to the right. (figure 1)
The displacement of the log if the truck at c pulls the cable 10 ft to the right will be 3.33ft in the opposite direction.
2Sb+(Sb-Sc)=l
3Sb-Sc=l
3deltaSb-deltaSc=0
3deltaSb=deltaSc
3deltaSb=-10
Sb=-3.3333
negative sign here indicates the opposite direction of the displacement.
Displacement is known as the change in position of an object. It is a vector quantity which means it has both direction and magnitude. The representation of displacement is by an arrow that points from the starting position to the final position. For example- If an object moves from A position to B, then the object's position changes.
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can someone please help me 50 points to the person that gets it right
Explanation:
Convert °F to °C. and Convert °C to °F
In the video, forces acting on the car that are parallel to the direction of motion are analyzed. How a forces related? ANSWER a. he forces are unequal in size, act in opposite directions, and produce a net orce in the direction of motion. b. The forces are equal in size, act in opposite directions, and produce a zero net force
c. Theforces are unequal in size, act in the same direction and produce a net force in the direction of motion. d. The forces are equal in size, act in the same direction, and produce a net force in the direction df motion. e. The forces are equal in size, act in opposite directions, and produce a net force in the direction of motion.
The forces are unequal in size, act in opposite directions, and produce a net force in the direction of motion. Option d is correct answer.
When multiple forces act on an object in same direction, net force can be found by adding up individual forces.
If the forces are equal in size but opposite in direction, they produce a zero net force, resulting in no acceleration. However, if forces are unequal in size and opposite in direction, they produce a net force in the direction of the larger force, resulting in an acceleration. Therefore, the correct answer is (d) the forces are unequal in size, act in opposite directions, and produce a net force in the direction of motion.
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--The complete question is, In the video, forces acting on the car that are parallel to the direction of motion are analyzed. How are these forces related?
a. The forces are equal in size, act in the same direction, and produce a net force in the direction of motion.
b. The forces are equal in size, act in opposite directions, and produce a zero net force.
c. The forces are unequal in size, act in the same direction, and produce a net force in the direction of motion.
d. The forces are unequal in size, act in opposite directions, and produce a net force in the direction of motion.
e. The forces are equal in size, act in opposite directions, and produce a net force in the direction of motion.--
Problem 3: A fireman has mass m; he hears the fire alarm and slides down the pole with acceleration a (which is less than g in magnitude). Part (a) Using the variables in the problem statement, write an equation giving the vertical force F resisting the force of gravity on the firefighter. Expression : F= Select from the variables below to write your expression. Note that all variables may not be required. B, Y, 0, a, b, c, d, g, h, j, k, m, n, P, S Part (b) If his mass m = 79.6-kg and he accelerates at a = 7.9 , what is the magnitude of the force of resistance in Newtons? Numeric : A numeric value is expected and not an expression. F=
the answer to the (a) F=m(a−g) and (b) ║F║= 440. 19 N. to solve this we need to use newton's law of motion as follows:
a) Our task is to write an equation giving the vertical force that must apply to the pole.
From the Newton's second law of the motions, the net force [tex](F_{net})[/tex] is
[tex](F_{net})[/tex] = ∑[tex]F= F_{1}[/tex] + [tex]F_{2}[/tex] + [tex]F_{3}[/tex] ..... = m.a
When we accord into equation (1), we get.
F-W = m.a
F−m⋅g = m.a
The vertical force from the equation (3) will be.
Fj= m.aj - m⋅gj
When we take the common factor, final equation will be.
F=m(a−g)
b) Our task is to determine the magnitude of the force.
║F║= m(a - g)
calculations
║F║ = 90kg [tex]( 5.0 \frac{m}{s_{2}} - 9.6 \frac{m}{s_{2}} )[/tex]
= 90 kg ( -4.81 [tex]m/s_{2}[/tex])
║F║= 440. 19 N
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A balloon with a volume of 5.3 L is taken from an indoor temperature of 24 degrees Celsius to the outdoors. The volume of the balloon outside is 4.9 L. Determine the Celsius temperature outside.
The temperature outside is 1.6 degrees Celsius
What is the Charles law?Charles's law, also known as the law of volumes, is a fundamental gas law that describes the relationship between the volume and temperature of a gas at a constant pressure.
It states that, for a fixed mass of gas at a constant pressure, the volume of the gas is directly proportional to its absolute temperature.
By the use of the Charlee's law;
V1/T1 = V2/T2
V1T2 = V2T1
T2 = V2T1/V1
T2 = 4.9 * 297/5.3
T2 = 1.6 degrees Celsius
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A 33 newton force forms a 60 degree angle with the displacement of 3.00 m to move a box. How much work is done to the box by the force?
Answer:
Explanation:
Work done = force * displacement = 33Cos60 * 3 = 49.5J
a) Write a selected signal assignment statement to represent the 4-to-1 MUX shown below. Assume that there is an inherent delay in the MUX that causes the change in output to occur 15 ns after a change in input.
(b) Repeat (a) using a conditional signal assignment statement.
Selected signal assignment statement to represent the 4-to-1 MUX has been shown below.
a)entity mux4to1 is
port(A,B: in std_logic;
CD : in std_logic_vector(1 down to 0),
F: out std_logic);
end mux4to1;
Architecture behavioral of mux4to1 is
begin
with CD select
F<= transport (not A) after 10 ns when "00",
transport B after 10 ns when "01",
transport (not B) after 10 ns when "10",
transport "0" after 10 when "11";
end behavioral;
b)entity mux4to1 is
port(A,B: in std_logic;
CD : in std_logic_vector(1 down to 0),
F: out std_logic);
end mux4to1;
Architecture behavioral of mux4to1 is
begin
F <= inertial (not A) after 10 ns WHEN (CD = “00”) ELSE
inertail B after 10 ns WHEN (sel = “01”) ELSE
inertail (not B) after 10 ns WHEN (sel = “10”) ELSE
inertail "0" after 10 ns WHEN (sel = “11”) ELSE
‘X’;
end behavioral;
c)entity mux4to1 is
port(A,B: in std_logic;
CD : in std_logic_vector(1 down to 0),
F: out std_logic);
end mux4to1;
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. How much work does it take to accelerate an 8.0-kg bowling ball from rest to a speed of 12 m/s!
a. If the average force on the bowling is 230 N, what is the distance through which it must
be accelerated to reach a speed of 12 m/s?
The work done on the bowling ball is 576 J to accelerate an 8.0-kg bowling ball from rest to a speed of 12 m/s and a distance of 2.5 m to reach a speed of 12 m/s if the average force on the bowling ball is 230 N.
What is the calculation of the work done?Work = 1/2 × m × [tex]v^2[/tex]
( m =8 kg=is the mass, v= 12 m/s= is final velocity)
Work = 1/2 × 8.0 kg × [tex](12 m/s)^2[/tex] = 576 J
As per work-energy principle, the work done on an object = the change in its kinetic energy
Work = ΔKE
(ΔKE = change in kinetic energy, initial kinetic energy=0)
final kinetic energy is,
KE = 1/2 × m × [tex]v^2[/tex] = 1/2 × 8.0 kg × [tex](12 m/s)^2[/tex] = 576 J
the change in kinetic energy,
ΔKE = KE - 0 = 576 J (work is equal to force here)
So, Work = Force × Distance
Distance = Work / Force = 576 J / 230 N = 2.5 m
As a result, the work done on the bowling ball is 576 J to accelerate and travel 2.5 m with an 8.0-kg bowling ball.
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Part A Rank the six combinations of electric charges on the basis of the electric force acting on a Define forces pointing to the right as positive and forces pointing to the left as negative. Rank in increasing order by placing the most negative on the left and the most positive on the right. To rank items as equivalent, overlap them. View Available Hint(s) Reset Help most positive most negative +10C +100 -Inc Inc 91-10 +1 +10C 1+11c +inc +10 Logger Pro The correct ranking cannot be determined In the diagram below, there are three collinear point charges: 91 92 and 9The distance between 41 and 42 is the same as that between 42 and Qs You will be asked to 92 43
The correct order of the six possible combinations of electric charges is as follows: -10C, -Inc +inc, -10C, +1, -Inc +10C, 1+11C, and the most favorable: +10C, +100
What is an electric charge?A subatomic particle experiences a force when it is in contact with an electric and magnetic field due to its electric charge. The majority of charge carriers for the positive and negative forms of electric charges, respectively, are protons and electrons.
Coulomb's law reveals the electric force between two charges,
F = kq₁q₂/r²
we can rank the combinations of charges from most negative force to most positive force:
-10C, -Inc
+inc, -10
-10C, +1
+1, -Inc
+10C, 1+11C
+10C, +100
Therefore, the correct ranking of the six combinations of electric charges from most negative to most positive is:
most negative:
-10C, -Inc
+inc, -10
-10C, +1
+1, -Inc
+10C, 1+11C
most positive: +10C, +100
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