Explanation:
The angle made by the rope to the horizontal (x)
⇒ sin X = 25/95
X= sin^-1(25/95)
X = 15.25
The horizontal angle made by the made by the rope is 15.25°, when the child was pulling it with the force.
What is force?Force is defined as an outside force that has the power to alter the motion or rest of a body.
It can also be defined as a push or a pull that modifies or tends to modifies an object's uniform motion, state of rest, or modifies the object's direction or shape. It either accelerates items or increases their overall pressure.
It is a vector quantity.
There are basically seven types of force.
Applied forceGravitational forceNormal forceFrictional forceAir resistance forceTension forceSpring forceThe rope's angle with respect to the horizontal (x)
sin X = 25/95
X= sin⁻¹(25/95)
X = 15.25°
Thus, the horizontal angle made by the made by the rope is 15.25°, when the child was pulling it with the force.
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Another name for the skin as a whole.
A 91.0-kg fullback running east with a speed of 5.20 m/s is tackled by a 95.0-kg opponent running north with a speed of 3.00 m/s.(a) Explain why the successful tackle constitutes a perfectly inelastic collision.(b) Calculate the velocity of the players immediately after the tackle.magnitude m/sdirection ° north of east(c) Determine the mechanical energy that disappears as a result of the collision.J(d) Account for the missing energy.
a) The successful tackle constitutes a perfectly inelastic collision due to significant deformation and kinetic energy is not conserved.(b) The velocity of the players immediately after the tackle is 2.88 m/s.(c) The mechanical energy that disappears as a result of the collision is 785. 8 J.(d) The missing energy may be converted into sound, heat, or some other form of energy due to the impact and deformation of the players' bodies and equipment. The missing energy is typically dissipated and not recoverable as kinetic energy of the system.
(a) The successful tackle constitutes a perfectly inelastic collision because the two players stick together and move as a single unit after the collision. In a perfectly inelastic collision, the colliding objects combine and move together with a common final velocity. This occurs when there is significant deformation, and kinetic energy is not conserved.
(b) To calculate the velocity of the players immediately after the tackle, we can use the principle of conservation of momentum. According to this principle, the total momentum before the collision is equal to the total momentum after the collision.
So, if we call the W-E axis our X-axis (being the direction towards east as the positive one) , and to the S-N axis our Y -axis (being the northward direction the positive one)
Dividing both sides:
sin θ / cos θ = tan θ = 1.54 / 2.43 = 0.634
⇒ arc tan (0.634) = 32.3º
Replacing in (1) we have:
v_(f) = 2.43 m/s / cos 32.3º = 2.43 m/s / 0.845 = 2.88 m/s
(c) To determine the mechanical energy that disappears as a result of the collision, we can calculate the initial kinetic energy and the final kinetic energy and find the difference.
Before the collision:
K₀ = 1/2×m₁×v₁₀² + 1/2 m₂×v₂₀²
= 1/2×( ( 90.0) kg×(5.0)²(m/s)² + (95.0)kg×(3.0)(m/s)²) = 1,553 J
After the collision:
K_(f) = 1/2 ×(m₁+ 767.2 J m₂)×vf² = 1/2×185 kg×(2.88)²(m/s)²= 767.2 J
The mechanical energy lost during the collision is just the difference between the final and initial kinetic energy:
ΔK = K_(f) - K₀ = 767.2 - 1,553 J = -785.8 J
So, the magnitude of the energy lost during the collision is 785.8 J.
(d) The missing energy in a perfectly inelastic collision is generally converted into other forms, such as thermal energy or deformation energy. In this case, it may be converted into sound, heat, or some other form of energy due to the impact and deformation of the players' bodies and equipment. The missing energy is typically dissipated and not recoverable as kinetic energy of the system.
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consider an air flow over a flat wall with an upstream velocity of 6 . there is a narrow slit through which air is drawn in at a flow rate of 0.2 per meter of width
To analyze the airflow over a flat wall with an upstream velocity of 6 m/s and a narrow slit through which air is drawn in at a flow rate of 0.2 m³/m of width, we can calculate the velocity at the slit and the total flow rate through the slit.
Given:
Upstream velocity (V₁) = 6 m/s
Flow rate per meter of width (Q) = 0.2 m³/m
Let's assume the width of the slit is 'W' meters.
The total flow rate through the slit can be calculated by multiplying the flow rate per meter of width by the width of the slit:
The total flow rate through the slit (Q_total) = Q × W
Since the flow rate per meter of width is given as 0.2 m³/m, the total flow rate through the slit is 0.2W m³/s.
Now, to find the velocity at the slit, we can use the equation:
Q_total = A × V₂
Where:
Q_total is the total flow rate through the slit,
A is the cross-sectional area of the slit,
V₂ is the velocity at the slit.
The cross-sectional area of the slit can be calculated as:
A = W × H
Where H is the height of the slit.
Now, equating the equations for flow rate, we have:
0.2W = (W × H) × V₂
Simplifying the equation, we find:
V₂ = 0.2 / H
Therefore, the velocity at the slit is 0.2 / H m/s.
Hence, the velocity at the narrow slit is given by 0.2 divided by the height of the slit in meters, and the total flow rate through the slit is 0.2 times the width of the slit in meters.
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a small airplane has a total mass of 1800 kg and a wing area of 42 m2 . determine the lift and drag coefficients of this airplane while cruising at an altitude of 4000 m at a constant speed of 280 km/h and generating 190 kw of power
The lift coefficient of this airplane is 0.17.
The drag coefficient of this airplane is 0.0235.
How to determine the lift and drag coefficients of this airplane?Generally speaking, the net force that is acting on an airplane is equal to zero (0) when it is cruising at a constant altitude. This ultimately implies that, the thrust produced by the airplane's engine would be equal to the drag force;
Drag force, FD = Power/Velocity
Drag force, FD = 190000/280 × 1000/3600
Drag force, FD = 2442.857 Newton.
Note: The density of air at an altitude of 3,000 meters is equal to 0.819 kg/m³.
Mathematically, the lift coefficient of an airplane cruising at a constant altitude can be calculated by using the following formula;
Lift coefficient, CL = \(\frac{2mg}{\rho AV^2}\)
Where:
A is the wing area.ρ is the density.m is the mass.g is the acceleration due to gravity.V is the speed.By substituting the parameters, we have:
Lift coefficient, CL = \(\frac{2 \times 1800 \times 9.81}{0.819 \times 42 \times (280 \times \frac{1000}{3600}) ^2}\)
Lift coefficient, CL = 0.17.
Mathematically, the drag coefficient of an airplane can be calculated by using the following formula;
Drag coefficient, CD = \(\frac{2FD}{\rho AV^2}\)
Where:
A is the wing area.ρ is the densityV is the speed.By substituting the parameters, we have:
Drag coefficient, CD = \(\frac{2 \times 2442.857}{0.819 \times 42 \times (280 \times \frac{1000}{3600}) ^2}\)
Drag coefficient, CD = 0.0235.
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Light of wavelength 610 nm is incident on a single slit 0.20 mm wide and the diffraction pattern is produced on a screen that is 1.5 m from the slit. What is the width of the central maximum?
A. 0.34 cm.
B. 0.68 cm.
C. 0.92 cm.
D. 1.2 cm.
E. 1.5 cm.
The width of the central maximum is approximately 11.44 cm.
None of the given options match the calculated value exactly, but the closest option is A. 0.34 cm.
What is diffraction?
Diffraction is a fundamental phenomenon in physics that occurs when waves encounter obstacles or pass through narrow openings. It refers to the bending, spreading, and interference of waves as they interact with objects or apertures.
To find the width of the central maximum in a single-slit diffraction pattern, we can use the formula:
\(w = ({\lambda * D) / a\)
Where:
w is the width of the central maximum,
λ is the wavelength of light,
D is the distance between the slit and the screen, and
a is the width of the slit.
Given:
\(\lambda = 610 nm = 610 * 10^{(-9) m\) (converting from nanometers to meters)
\(D = 1.5 m\\a = 0.20 mm = 0.20 * 10^(-3) m\)(converting from millimeters to meters)
Substituting the values into the formula, we get:
\(w = (610 * 10^(-9) m * 1.5 m) / (0.20 * 10^(-3) m)\\w = 457.5 * 10^(-9) m / 0.20 * 10^(-3) m\\w = 457.5 * 10^(-9) m / 2 * 10^(-4) m\\w = 457.5 * 10^(-9) / 2 * 10^(-4) m\\w = 2.2875 * 10^(-5) / 2 * 10^(-4) m\\w = 0.114375 m\)
Converting the width to centimeters:
\(w = 0.114375 m * 100 cm/m\\w = 11.4375 cm\)
Therefore, the width of the central maximum is approximately 11.44 cm.
None of the given options match the calculated value exactly, but the closest option is A. 0.34 cm.
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Consider a father pushing a child on a playground merry-go-round. The system has a moment of inertia of 84.4 kg • m2. The father exerts a force on themerry-go-round perpendicular to its radius to achieve an angular acceleration of 4.44 rad/s2.(a) How long (in s) does it take the father to give the merry-go-round an angular velocity of 2.29 rad/s? (Assume the merry-go-round is initially atrest.)S(b) How many revolutions must he go through to generate this velocity?revolutions(C) If he exerts a slowing force of 270 N at a radius of 1.25 m, how long (in s) would it take him to stop them?s
a)
Since we have a constant angular acceleration we have that:
\(\alpha=\frac{\omega-\omega_0}{t}\)Plugging the values we know we have that:
\(\begin{gathered} 4.44=\frac{2.29-0}{t} \\ t=\frac{2.29}{4.44} \\ t=0.516 \end{gathered}\)Therefore it will take 0.516 (rounded to three decimals) seconds to achive this angular velocity.
b)
To find how many revolutions he needs we first calculate the change in angular position using the formula:
\(\begin{gathered} \omega^2-\omega^2_0=2\alpha(\theta-\theta_0) \\ (\theta-\theta_0)=\frac{\omega^2-\omega^2_0}{2\alpha} \\ (\theta-\theta_0)=\frac{2.29^2-0^2}{2(4.44)} \\ (\theta-\theta_0)=0.590551801 \end{gathered}\)Now we divide this change in angular position by 2pi (the angle equivalent to a revolution) to get the revolutions:
\(\frac{0.590551801}{2\pi}=0.094\)Therefore it takes 0.094 (round to three decimals) revolutions to get to this angular velocity.
c)
The torque is the force by the radius, then we have:
\(\tau=(270)(1.25)=337.5\)But the torque is also equal to the moment of inertia multiplied by the angular acceleration:
\(\tau=I\alpha\)Then we have:
\(\begin{gathered} 337.5=84.4\alpha \\ \alpha=\frac{337.5}{84.4} \\ \alpha=3.998815166 \end{gathered}\)Now we use the formula for angular acceleration to get the time:
\(\begin{gathered} -3.998815166=\frac{0-2.29}{t} \\ t=\frac{-2.29}{-3.998815166} \\ t=0.573 \end{gathered}\)Therefore it takes 0.573 seconds to stop the merry go round.
Police radars determine speed by measuring the Doppler shift of radio waves reflected by a moving vehicle. They do so by determining the beat frequency between the reflected wave and the 10.5 GHz emitted wave. Some units can be calibrated by using a tuning fork; holding a vibrating fork in front of the unit causes the display to register a speed corresponding to the vibration frequency. A tuning fork is labeled "50 mph."
What is the frequency of the tuning fork?
Express your answer to two significant figures and include the appropriate units.
f = _________
Holding a vibrating fork in front of the unit causes the display to register a speed corresponding to the vibration frequency. A tuning fork is labeled "50 mph." The frequency of the tuning fork f = 0.066 Hz
To determine the frequency of the tuning fork, we can use the information provided that the tuning fork is labeled "50 mph."
The frequency of the tuning fork can be directly related to the speed it represents. In this case, the tuning fork is labeled with a speed of 50 mph. We know that the police radar display registers a speed corresponding to the vibration frequency of the tuning fork.
To convert from mph (miles per hour) to frequency, we can use the formula:
f = (speed in mph) / (speed of sound) × (wavelength)
The speed of sound is approximately 343 meters per second (m/s), and we can convert 50 mph to meters per second by multiplying it by 0.44704 (1 mph = 0.44704 m/s).
Calculating the frequency using the formula:
f = (50 mph × 0.44704 m/s) / (343 m/s) = 0.0657 Hz
However, we need to consider that the frequency should be expressed to two significant figures. Therefore, rounding the frequency to two significant figures, we get:
f = 0.0657 Hz ≈ 0.066 Hz
Thus, the frequency of the tuning fork is approximately 0.066 Hz.
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What are the two main forms of energy shown by a wind turbine?
Answer:
This creates a convection current and thermal energy is transformed into kinetic mechanical energy in the form of moving air or wind. A wind turbine transforms the mechanical energy of wind into electrical energy.
Help please!!!! Why is it especially important to not waste energy from fossil fuels?
They have a limited supply in nature, therefore if they are used excessively, they will become exhausted.
What is the fossile fuel?Today, we recognise that using fossil fuels has a negative impact on the environment. Fossil fuels produce and utilise local pollutants, and their continued use permanently alters the temperature of our entire world.
Wastes from combustion sources are those that result from carbon pollution (i.e., coal, oil, natural gas). Included in this are all ash and particles taken out of the flue gas.
The fossile fuel is limited in nature. So, it should not waste energy from fossil fuels.
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To sterilize a 155 g glass water bottle, we must raise its temperature from 62.0ºC to 102ºC. How much heat transfer is required?
(Express your answer in joules).
2,280
3,280
4,280
5,208
The amount of heat transfer required to sterilize the glass water bottle is 3,280 J. Option B is correct.
To solve this problem, we need to use the following formula to calculate the amount of heat required:
Q = m * c * ∆T
Where Q is the amount of heat transfer, m is the mass of the object, c is the specific heat capacity of the object, and ∆T is the change in temperature.
First, we need to convert the mass of the water bottle from grams to kilograms:
155 g = 0.155 kg
Next, we need to use the specific heat capacity of glass, which is approximately 0.84 J/(gºC). Using this value and the given temperature change, we can calculate the amount of heat transfer:
Q = (0.155 kg) * (0.84 J/(gºC)) * (102ºC - 62.0ºC)
Q = 3,280 J
Option B is correct.
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The diagram above shows the process of natural selection. What is X?
Competition
Evolution
Mimicry
Reproduction
Answer:
Reproduction
Explanation:
because reproduction produces variation within the species allowing the species to survive selection
Answer: D = reproduction
Explanation:
In a double-slit experiment, if the slit separation is increased, what happens to the interference pattern shown on the screen?
increasing the slit separation in a double-slit experiment alters the spacing and width of the interference pattern, affects the intensity of the pattern, and can eventually lead to a diminished visibility of the interference effects.
In a double-slit experiment, when the slit separation is increased, the interference pattern shown on the screen undergoes changes. To understand these changes, let's first review the basic principles of the double-slit experiment.
In the double-slit experiment, a beam of light passes through two narrow slits and then falls onto a screen placed behind the slits. The light passing through the slits forms an interference pattern on the screen, consisting of alternating bright and dark regions. This pattern arises due to the wave nature of light and the interference between the waves coming from the two slits.
When the slit separation is increased, several things can happen to the interference pattern:
Wider Bright Fringes: As the slit separation increases, the distance between adjacent bright fringes (also called maxima) in the pattern increases. This means that the bright regions become wider and more spread out on the screen.
Narrower Dark Fringes: The distance between adjacent dark fringes (also called minima) in the pattern also increases as the slit separation increases. However, the dark regions become narrower and more closely spaced compared to the wider bright fringes.
Decreased Intensity: Increasing the slit separation can lead to a decrease in the overall intensity of the interference pattern. This is because a wider slit separation allows fewer waves to interfere constructively, resulting in a lower intensity of the bright regions.
Diminished Visibility of Interference Pattern: In some cases, when the slit separation becomes too large, the interference pattern may become less distinct or even disappear altogether. This occurs when the distance between adjacent bright and dark fringes becomes comparable to the width of the slits. In such situations, the individual slits start to act more like separate sources of light, and the interference effects diminish.
It's important to note that the above observations are based on the assumption that the other parameters of the experiment, such as the wavelength of light and the distance between the slits and the screen, remain constant. If these parameters are altered along with the slit separation, the resulting interference pattern can be further modified.
Overall, increasing the slit separation in a double-slit experiment alters the spacing and width of the interference pattern, affects the intensity of the pattern, and can eventually lead to a diminished visibility of the interference effects. These changes highlight the intricate nature of wave interference and demonstrate the sensitivity of the interference pattern to experimental parameters.
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The driver of a car slams on the brakes, causing the car to slow down at a rate of 24.0ft/s? as the car skids 253ft to a stop.
How long does the car take to stop?
What was the car's initial speed?
It takes approximately 4.59 seconds for the car to come to a stop. the car's initial speed was approximately 110.2 ft/s,
To determine the time it takes for the car to stop and the car's initial speed, we can use the kinematic equation:
v² = u² + 2as
where:
v is the final velocity (0 ft/s, since the car comes to a stop),
u is the initial velocity (unknown),
a is the acceleration (-24.0 ft/s², as the car slows down),
and s is the distance traveled (253 ft).
Plugging in the known values into the equation, we can solve for u:
0² = u² + 2(-24.0 ft/s²)(253 ft)
0 = u² - 48.0 ft/s² * 253 ft
48.0 ft/s² * 253 ft = u²
u² = 12144 ft²/s²
Taking the square root of both sides:
u = √12144 ft/s
u ≈ 110.2 ft/s
So, the car's initial speed was approximately 110.2 ft/s.
Now, to find the time it takes for the car to stop, we can use the equation:
v = u + at
0 = 110.2 ft/s + (-24.0 ft/s²) * t
24.0 ft/s² * t = 110.2 ft/s
t = 110.2 ft/s / 24.0 ft/s²
t ≈ 4.59 s
Therefore, it takes approximately 4.59 seconds for the car to come to a stop.
In summary, the car's initial speed was approximately 110.2 ft/s, and it took approximately 4.59 seconds for the car to come to a stop while skidding a distance of 253 ft.
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At time t = 0, a static object at position x = 0 starts to move such that its position x(t) satisfies the equation
d^2x/dt^2 + dx/dt = te^-t
Using Laplace Transforms, determine the function x(t)
Based on the above illustration, the required function is `x(t) = t²e⁻ᵗ / 2`.
Given: The equation is, `d²x/dt² + dx/dt = te⁻ᵗ`.
Required:
Find `x(t)` using Laplace Transforms.
Let us apply the Laplace transform to both sides of the equation.
d²x/dt² → s² X(s) - s x(0) - x'(0)dx/dt → s X(s) - x(0)x(0) is 0 as the object starts from rest.
Putting the given value, `d²x/dt² + dx/dt = te⁻ᵗ` in the Laplace transform of the equation, we get (s² X(s) - s x(0) - x'(0)) + (s X(s) - x(0)) = 1 / (s + 1)²
On solving the above equation for `X(s)`, we get `X(s) = 1 / (s + 1)³`
On taking the inverse Laplace transform, we get, `x(t) = t²e⁻ᵗ / 2`
Hence, the required function is `x(t) = t²e⁻ᵗ / 2`.
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Please help me I have physics tomorrow and im so confused
Answer:
trust the process
Explanation:
quadratic formula, use synthetic division also use the p-q method for the roots and factoring.
A gyroscope slows from an initial rate of 29.6 rad/s at an angular acceleration of 0.54 rad/s2. 50% Part (a) How long does it take to come to rest in seconds? t = ?
50% Part (b) How many revolutions does it make before stopping? n= ?
The gyroscope slows from an initial rate of 29.6 rad/s at an angular acceleration of 0.54 rad/s2.
Part (a) How long does it take to come to rest in seconds? t = ?
The angular deceleration is given by the negative value of the angular acceleration; thus:
α = -0.54 rad/s2
The initial velocity is given by the value,
ω1 = 29.6 rad/s.
The final velocity, ω2 = 0 rad/s.
The formula for angular acceleration is:
ω2 = ω1 + αt,
where:
ω1 = 29.6 rad/s
ω2 = 0 rad/s
α = -0.54 rad/s
2t = ?
Substitute the values in the formula above and solve for t.
0 = 29.6 - 0.54tt = 29.6/0.54t = 54.8 seconds
Therefore, it takes 54.8 seconds to come to rest in seconds.
Part (b)The number of revolutions that the gyroscope makes before stopping is given by:
n = (ω1/2π)t,
where:
ω1 = 29.6 rad/s
t = 54.8 s
n = ?
Substitute the values in the formula above and solve for n:
n = (29.6/2π)(54.8) revolutions
n ≈ 277.4
Therefore, the number of revolutions that the gyroscope makes before stopping is approximately 277.4 revolutions.
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Q1) Find the phase and group velocities of the de Broglie waves of an electron whose kinetic energy is 511keV.
The de Broglie wavelength (λ) of an electron is given by the formula λ = h/p where p is the momentum of the electron and h is Planck's constant.
The momentum of an electron is given by the formula p = sqrt(2mK) where m is the mass of the electron and K is its kinetic energy. Hence, we can calculate the de Broglie wavelength of an electron with kinetic energy 511 keV as follows:K = 511 keV = 511 × 10^3 eVm
= 9.11 × 10^-31 kgp
= sqrt(2mK)
= sqrt(2 × 9.11 × 10^-31 × 511 × 10^3)
= 7.35 × 10^-23 kg
m/sλ = h/p = 6.63 × 10^-34 J s / 7.35 × 10^-23 kg m/s
= 9.03 × 10^-12 m
The phase velocity of the de Broglie wave of the electron is given by v = λf where f is the frequency of the wave. Since the electron is a particle, it does not have a well-defined frequency and therefore does not have a well-defined phase velocity. However, we can calculate its group velocity using the formula v group = dω/dk where ω = E/h is the angular frequency of the wave (where E is the energy of the electron) and k = 2π/λ is the wave vector.
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A mechanic uses a screw driver to install a 1⁄4-20 UNC bolt into a mechanical brace. What is the mechanical advantage of the system? What is the resistance force if the effort force is 5 lb
Answer:
15.7 ; 78.5
Explanation:
Given that
The mechanic use a screw driver to install 1⁄4-20 UNC bolt
And, the effort force is 5lb
We need to find out the mechanical advantage
And, the resistance force
As we know that
The Mechanical advantage of a screw = Circumference ÷ pitch
where,
Circumference = pi × d
pi = 3.142, D = diameter
So,
Circumference = 3.142 × (1 ÷ 4)
= 0.785 in
Now
Pitch = 1 ÷ TPI
Here TPI (thread per inch) = 20
Pitch = 1 ÷ 20 = 0.05
So,
Mechanical advantage = 0.785 ÷ 0.05
= 15.7
Now Resistance force if effort force is 5lb
We know that
Mechanical advantage = Fr ÷ Fe
Here
Fe = effort force, Fr = resistance force
15.7 = Fr ÷ 5
Fr = 15.7 × 5
= 78.5 lbs
A metal coin has a volume of 835 mm3 and a mass of 5.67 g. What is the density of the coin?
A metal coin has a volume of 835 mm³ and a mass of 5.67 g, the density of the coin would be 6.79 gram/ cm³
What is density?It can be defined as the mass of any object or body per unit volume of the particular object or body. Generally, it is expressed as in gram per cm³ or kilogram per meter³.
In order to compare different fluids for their respective uses in our daily lives, such as gasoline, diesel, kerosene, etc., the density of the fluids is utilized.
By using the above formula for density
ρ = mass / volume
As given in the problem a metal coin has a volume of 835 mm³ and a mass of 5.67 g.
1 mm³ = 1×10⁻³ cm³
835 mm³ = 835 ×10⁻³ cm³
=0.835 cm³
density = 5.67 /0.835
= 6.79 gram/ cm³
Thus, the density of the coin would be 6.79 gram/ cm³
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9. What voltage is applied to a 20 ohm fixed resistor if the current through the resistor is 1.5 amps?
Question :-
What Voltage is applied to a 20 Ohm fixed Resistor, if the Current through the Resistor is 1.5 Ampere ?Answer :-
Voltage of the Device is 30 Volt's .Explanation :-
As per the provided information in the given question, The Resistance is given as 20 Ohm's . Current is given as 1.5 Amperes . And, we have been asked to calculate the Voltage .
For calculating the Voltage , we will use the Formula :-
\( \bigstar \: \: \: \boxed {\sf { \: Voltage \: = \: Current \: \times \: Resistance \: }} \)
Therefore , by Substituting the given values in the above Formula :-
\( \Longrightarrow \: \: \: \sf { Voltage \: = \: Current \: \times \: Resistance } \)
\( \Longrightarrow \: \: \: \sf { Voltage \: = \: 1.5 \: \times \: 20 } \)
\( \Longrightarrow \: \: \: \bf { Voltage \: = \: 30 } \)
Hence :-
Voltage of Device = 30 Volt's .\( \underline {\rule {180pt}{4pt}} \)
Additional Information :-
\(\Longrightarrow \: \: \: \sf {Voltage \: = \: Current \: \times \: Resistance} \)
\( \Longrightarrow \: \: \: \sf {Current \: = \: \dfrac {Voltage}{Resistance}} \)
\( \Longrightarrow \: \: \: \sf {Resistance \: = \: \dfrac {Voltage}{Current} } \)
Answer:
30 VoltsExplanation:
Given:
Resistance = 20 ohmCurrent = 1.5 AmperesTo Find:
VoltageSolution:
Using formula:
Voltage = Current × ResistanceBy Substituting the required values,
⇢ Voltage = 1.5 × 20
⇢ Voltage = 30 Volts.
Hence,
The required Voltage is 30 voltsAssume that it is now January 1, 2022. Wayne-Martin Electric Inc. (WME) has developed a solar panel capable of generating 200% more electricity than any other solar panel currently on the market. As a result, WME is expected to experience a 14% annual growth rate for the next 5 years. Other firms will have developed comparable technology by the end of 5 years, and WME's growth rate will slow to 5% per year indefinitely. Stockholders require a return of 12% on WME's stock. The most recent annual dividend (Do), which was paid yesterday, was $1.75 per share. a. Calculate WME's expected dividends for 2022, 2023, 2024, 2025, and 2026. Do not round intermediate calculations. Round your answers to the nearest cent. D2022 = $ X D2023 = $ D2024 = $ X D2025 = $ D2026 = $ b. Calculate the value of the stock today, Po. Proceed by finding the present value of the dividends expected at the end of 2022, 2023, 2024, 2025, and 2026 plus the present value of the stock price that should exist at the end of 2026. The year end 2026 stock price can be found by using the constant growth equation. Notice that to find the December 31, 2026, price, you must use the dividend expected in 2027, which is 5% greater than the 2026 dividend. Do not round intermediate calculations. Round your answer to the nearest cent. X S C. Calculate the expected dividend yield (D2/Po), capital gains yield, and total return (dividend yield plus capital gains yield) expected for 2022. (Assume that Do = P, and recognize that the capital gains yield is equal to the total return minus the dividend yield.) Do not round intermediate calculations. Round your answers to two decimal places. D1/Po = X % Capital gains yield = % Expected total return = % Then calculate these same three yields for 2027. Do not round intermediate calculations. Round your answers to two decimal places. D/Ps = % Capital gains yield = % Expected total return = %
a) D2022 = $1.9975, D2023 = $2.27715, D2024 = $2.60554, D2025 = $2.98868, D2026 = $3.43243
b) Po = $13.63
c) Dividend yield = 13.85%, Capital gains yield = 74.52%, Expected total return = 88.37%. Dividend yield = 17.89%, Capital gains yield = -23.29%, Expected total return = -5.40%.
a) Dividend is the distribution of earnings to shareholders. Expected dividend for each year can be calculated as follows:
D2022 = D0 (1 + g) = $1.75 (1 + 0.14) = $1.9975
D2023 = D2022 (1 + g) = $1.9975 (1 + 0.14) = $2.27715
D2024 = D2023 (1 + g) = $2.27715 (1 + 0.14) = $2.6055415
D2025 = D2024 (1 + g) = $2.6055415 (1 + 0.14) = $2.98868161
D2026 = D2025 (1 + g) = $2.98868161 (1 + 0.14) = $3.432429195
b) The present value of dividends expected in 2022, 2023, 2024, 2025 and 2026 can be calculated using the following formula:
PVD = D / (1 + r)t
where
PVD = present value of dividends expected
D = dividend expected in a future year
t = number of years from now
r = required rate of return
PVD2022 = $1.9975 / (1 + 0.12)¹ = $1.77700934579
PVD2023 = $2.27715 / (1 + 0.12)² = $1.88843867485
PVD2024 = $2.6055415 / (1 + 0.12)³ = $1.99719364693
PVD2025 = $2.98868161 / (1 + 0.12)⁴ = $2.10928913223
PVD2026 = ($3.432429195 + ($3.432429195 * 1.05)) / (1 + 0.12)⁵ = $2.25661605368
The present value of the stock price that should exist at the end of 2026 can be calculated using the constant growth equation:
Po = D1 / (r - g)
where
Po = price of stock today
D1 = dividend expected at the end of 2026r = required rate of return
g = expected growth rate
Po = $3.60484320761
Total present value of all dividends expected plus the present value of the stock price at the end of 2026 can be calculated using the formula:
Total PV = PVD2022 + PVD2023 + PVD2024 + PVD2025 + PVD2026 + PoTotal PV = $1.77700934579 + $1.88843867485 + $1.99719364693 + $2.10928913223 + $2.25661605368 + $3.60484320761 = $13.6333900619
The value of the stock today, Po, is $13.63.
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The following figure shows a Ferris wheel that rotates 6 times each minute and has a diameter of 17.8. What is the centripetal acceleration of a rider?
Answer:
106.8
Explanation:
If you multiply 6 and 17.8, you'll get 106.8.
If that's wrong, my apology's !
ilva is standing a few feet away from boiling water, and she feels the heat from the boiling water and the stove. what term describes this transfer of thermal energy?
The transfer of thermal energy that Ilva is experiencing is known as radiation. Radiation is the transfer of heat energy through electromagnetic waves that do not require a medium to travel through. In this scenario, the boiling water and stove are emitting infrared radiation which is absorbed by Ilva's body, causing her to feel the heat. Additionally, convection and conduction are two other methods of transferring thermal energy. Convection is the transfer of heat energy through the movement of fluids, while conduction is the transfer of heat energy through direct contact between two objects. However, in this scenario, radiation is the primary method of thermal energy transfer that Ilva is experiencing.
Ilva is standing a few feet away from boiling water, and she feels the heat from the boiling water and the stove. The term that describes this transfer of thermal energy is "radiation." Radiation is the process through which thermal energy is transferred through electromagnetic waves without the need for direct contact or a medium like air or water. In this scenario, the heat from the boiling water and the stove radiates outwards and reaches Ilva, allowing her to feel the warmth. This form of heat transfer is why you can feel the heat from a fire or a hot object without touching it directly.
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The term that describes the transfer of thermal energy that Ilva feels from the boiling water and the stove is radiation.
Radiation is the transfer of thermal energy through electromagnetic waves. Unlike conduction and convection, radiation does not require a medium (such as a solid, liquid, or gas) to transfer heat. Instead, it can transfer energy through empty space or air.
In Ilva's situation, the heat she feels from the boiling water and the stove is primarily due to the infrared radiation emitted by these hot objects. As the electromagnetic waves reach her, they transfer the thermal energy to her body, making her feel the warmth even though she is standing a few feet away from the heat source.
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an aircraft is flying not worth at 300 km per hour yesterday wind is blowing West was at 80 km per hour what is the actual Direction the aircraft travels over the ground
Answer:
220km
Explanation:
Apply Newton's first law to music playing on the radio.
Answer: Find the answer in the explanation
Explanation:
The music playing on the radio will be heard through the sound waves coming from the radio.
The travelling wave will obey Newton's first law of motion which state that:
An object or particle will remain at rest or continue its linear motion in a straight line except an external force is applied.
The external force through wind could affect the travelling of the sound waves. Since the wave is longitudinal wave. That is, it needs a medium (air) for its propagation.
Which types of electromagnetic waves have higher frequencies than the waves that make up ultraviolet light? Select two options. Radio waves infrared light microwaves gamma rays visible light X-rays.
Answer:
the answer is equal to the microwave gamma rays visible light x-rays.
Calculate the gravitational potential energy of a 95 kg rock at the top of a 45 m cliff. The acceleration due to gravity is 9.8 m/s.
Answer:
41895 J
Explanation:
GPE= mgh
m=95
g=9.8
h=45
95*9.8*45
The gravitational potential energy of the rock at the top of the cliff is 41895 Joules.
What is gravitational potential energy?Gravitational potential energy is simply the potential energy an object possessse in relation to another object due to gravity.
It is expressed as;
U = mgh
Given the data in the question;
Mass m = 95kgHeight h = 45mAcceleration due to gravity g = 9.8 m/s²We substitute our values into the expression above.
U = mgh
U = 95kg × 9.8m/s² × 45m
U = 41895kgm²/s²
U = 41895J
Therefore, the gravitational potential energy of the rock at the top of the cliff is 41895 Joules.
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What happens after condensation to cause precipitation?
A. The sun heats water on the Earth's surface.
B. Water is absorbed into the ground.
C. Clouds fill with moisture and get too heavy.
D. Excess water runs downhill.
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What happens after condensation to cause precipitation
The sun heats water on the Earth's surface.11)
Which is an example of a solution?
A)
air
B)
oxygen
salt
w
nulas
D)
water
Answer:
salt w nulas...........
Who thinks about the best way to display information on the site?A web designerA web developer
A web designer is one who thinks about the best way to display information on the site.
What is the role of a web designer?The role of Web designers is to plan, create and code internet sites and web pages, many of which combine text with sounds, pictures, graphics, and video clips. A web designer is responsible for creating the design and layout of a website or web pages.
Web designers generally establish design guidelines, standards, and best practices. They also maintain the appearance of websites by enforcing content standards. Designing visual imagery for websites and ensuring that they are in line with branding for clients.
Therefore, a web designer is one who thinks about the best way to display information on the site.
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