The approximate value for the angle of the hill when a cylinder has a radius r, it rolls down a hill with a linear acceleration a, is θ ≈ a/(g + μ).
Let's first define the variables and parameters we have in this problem:
r: radius of the cylinder
a: linear acceleration of the cylinder
θ: angle of the hill
When the cylinder rolls down the hill, there are two forces acting on it: the force of gravity (mg) and the force of friction (f). The force of gravity can be broken down into its components perpendicular (mgcosθ) and parallel (mgsinθ) to the surface of the hill.
The force of friction acts in the opposite direction of the cylinder's motion and is given by f = μN, where μ is the coefficient of friction and N is the normal force. The normal force is equal to the perpendicular component of the force of gravity, so N = mgcosθ.
The net force acting on the cylinder is given by F = mgsinθ - μmgcosθ = ma, where m is the mass of the cylinder. We can solve for θ to get:
sinθ - μcosθ = a/g
where g is the acceleration due to gravity. We can use a numerical method like Newton-Raphson to solve this equation for θ, or we can make some approximations to simplify the equation. If we assume that μ is small and sinθ ≈ θ (valid for small angles), we can rewrite the equation as:
θ ≈ a/(g + μ)
This gives us an approximate value for the angle of the hill. However, if we want a more precise answer, we can use the exact equation and plug in the values of r, a, and μ to solve for θ.
Know more about acceleration here:
https://brainly.com/question/29998386
#SPJ11
to transmit heat sound or electricity through a medium
Answer:Electrical conduction is the transfer of electrically charged particles through a medium, such as electricity traveling through the power lines in your house. Sound conduction (or acoustic conduction) is the transfer of sound waves through a medium, such as vibrations from loud music passing through a wall.
Explanation: Trust
Before the internet was available people often search for jobs?
Answer:
do you mean how? if so
Explanation:people used newspapersand still kinda do back then they had posters up as they still do and newspapers
Iron meteorites are interpreted as deriving from the cooled metallic core of a largeish asteroid. This is based upon:
Answer:
This is based upon the fact that meteorites are generally believed to have originated as solid debris from Larger bodies like meteoroid or asteroids
Explanation:
Iron meteorites are interpreted as deriving from the cooled metallic core of a larger asteroid , because meteorites are generally believed to have originated as solid debris from Larger bodies like meteoroid or asteroids that are located outside the planet but found their way into our planet .
A property of matter by which it remains at rest or in uniform motion in the same straight line unless acted upon by some external force.
Answer:
Inertia.
Explanation:
Inertia can be defined as the tendency of an object or a body to continue in its state of motion or remain at rest unless acted upon by an external force.
In physics, Sir Isaac Newton's first law of motion is known as law of inertia and it states that, an object or a physical body in motion will continue in its state of motion at continuous velocity (the same speed and direction) or, if at rest, will remain at rest unless acted upon by an external force.
For example, the inertia of an object such as a shopping cart is greatly dependent or influenced by its mass; the higher quantity of matter in a shopping cart, the greater will be its tendency to continuously remain at rest.
Five pulses are generated every 0.112 s in a tank of water. What is the speed of propagation of the wave if the wavelength of the surface wave is 1.46 cm
The speed of propagation of the wave can be determined using the equation v = λf, where v is the speed, λ is the wavelength, and f is the frequency. Given that the wavelength is 1.46 cm and the frequency is 5 pulses every 0.112 s, we can calculate the speed as follows:
(a) To calculate the speed of the wave, we use the equation v = λf. Plugging in the values:
v = (1.46 cm) * (5 pulses/0.112 s)
v ≈ 65.18 cm/s
(b) The speed of propagation of the wave is approximately 65.18 cm/s.
To learn more about propagation click here : brainly.com/question/31084304
#SPJ11
The speed of propagation of the wave can be determined using the equation v = λf, where v is the speed, λ is the wavelength, and f is the frequency. Given that the wavelength is 1.46 cm and the frequency is 5 pulses every 0.112 s, we can calculate the speed as follows:
(a) To calculate the speed of the wave, we use the equation v = λf. Plugging in the values:
v = (1.46 cm) * (5 pulses/0.112 s)
v ≈ 65.18 cm/s
(b) The speed of propagation of the wave is approximately 65.18 cm/s.
To learn more about propagation click here : brainly.com/question/31084304
#SPJ11
Calculate the wavelengths in air at 20∘c for sounds in the maximum range of human hearing. The speed of sound in air is 343 m/s.
The wavelengths in air is 8.8x10^-6 m for sounds in the maximum range of human hearing.
Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
The following equation can be used to compute wavelength: wavelength = wave velocity/frequency. In most cases, wavelength is measured in metres. Greek letter lambda is used to represent wavelength, so = v/f.
speed = wavelength x frequency or wavelength = speed / freq
for f = 20Hz, wavelength = 343m/s / 2.0 x 10^1 Hz = 17.2m
for f = 20,000 Hz, wavelength = 343m/s / 20,000Hz = 0.017 m
39MHz = 39x10^6 Hz so wavelength = 343m/s / 39x10^Hz = 8.8x10^-6 m
Hence, the wavelengths in air is 8.8x10^-6 m
Learn more about Wavelength here:
https://brainly.com/question/10728818
#SPJ4
ten quantities that are pure numbers
Answer:
Explanation:
1, i, π, e, and φ
dozen, gross, googol, and Avogadro's number etc, are pure numbers
hope this helps
plz mark it as brainliest!
why is the lifetime in the atmosphere be a problem if cfs are no longer being produced
Answer:CFCs and halons cause chemical reactions that break down ozone molecules, reducing ozone's ultraviolet radiation-absorbing capacity
Explanation:
True or False
1)All forces cause a change in an object’s speed and direction.
Answer:
True
Explanation:
Answer and Explanation:
True I believe bc if you put a certain amount of force on an object it'll move and depending on where you place the force on the object it'll move in that direction. How much force and how much weight the object has will determine the speed...
the cylinder is 4872 N and the cylinder exerts a pressure of 812 N/m2. on the
ground.
To 2 decimal places, what is the diameter of the cylinder?
The diameter of the cylinder is 2.49 meters if the cylinder is 4872 N and the cylinder exerts a pressure of 812 N/m2. on the ground.
First, we need to find the area of the base of the cylinder that is in contact with the ground. To do this, we can use the formula for pressure: Pressure = Force/Area. Rearrange the formula to solve for Area: Area = Force/Pressure.
Given:
Force exerted by the cylinder (N) = 4872 N
Pressure exerted by the cylinder (N/m^{2}) = 812 N/m^{2}
Calculate the Area:
Area = Force/Pressure = 4872 N / 812 N/m^{2} = 6 m^{2}
Now, we know the area of the base of the cylinder. Since the base is a circle, we can use the formula for the area of a circle: Area = π * (diameter/2)^{2}. Rearrange the formula to solve for diameter: Diameter = 2 * √(Area/π).
Calculate the Diameter:
Diameter = 2 * √(6 m^2/π) ≈ 2.49 meters
The diameter of the cylinder, to 2 decimal places, is approximately 2.49 meters.
For more information on pressure kindly visit to
https://brainly.com/question/31771629
#SPJ11
when watering your garden, you observe that it takes 30 seconds to fill up your 2 gallon watering can. a) what is the flow rate of the water from your hose? write your answer in units of cm3 per second. b) the diameter of your (circular) hose is 3cm. what is the velocity of water as it exits the hose?
when watering your garden, you observe that it takes 30 seconds to fill up your 2 gallon watering can. The flow rate of the water from your hose is 252.36 cubic centimeters per second and the velocity of water as it exits the hose is 35.66 centimeters per second.
(a) The flow rate of the water from the hose can be calculated as the volume of water filled in 30 seconds divided by the time taken. The volume of water in 2 gallons can be converted to cubic centimeters by multiplying it by the conversion factor of 3,785.41 cubic centimeters per gallon. So, the volume of water in 2 gallons is:
2 gallons x 3,785.41 cubic centimeters/gallon = 7,570.82 cubic centimeters
The time taken to fill the can is 30 seconds. Therefore, the flow rate can be calculated as:
Flow rate = Volume / Time = 7,570.82 cubic centimeters / 30 seconds = 252.36 cubic centimeters per second
So, the flow rate of the water from the hose is 252.36 cubic centimeters per second.
(b) The velocity of water as it exits the hose can be calculated using the flow rate and the cross-sectional area of the hose. The cross-sectional area of the hose can be calculated using the diameter of the hose, which is given as 3 centimeters. The radius of the hose is half the diameter, so the radius of the hose is:
Radius = Diameter / 2 = 3 centimeters / 2 = 1.5 centimeters
The cross-sectional area of the hose can be calculated using the formula for the area of a circle:
Area = π x Radius^2 = π x (1.5 centimeters)^2 = 7.07 square centimeters
Now, using the flow rate and the cross-sectional area of the hose, the velocity of water can be calculated using the formula:
Flow rate = Velocity x Area
Rearranging the formula to solve for velocity, we get:
Velocity = Flow rate / Area = 252.36 cubic centimeters per second / 7.07 square centimeters = 35.66 centimeters per second
Therefore, the velocity of water as it exits the hose is 35.66 centimeters per second.
Learn more about velocity here:
https://brainly.com/question/22038177
#SPJ11
calculate the resistance of the 1000 W microwave oven that gets plugged into a 110 v outlet
The resistance of the 1000 W microwave oven that gets plugged into a 110 v outlet will be 10 ohms.
What is resistance?Resistance is a type of opposition force due to which the flow of current is reduced in the material or wire. Resistance is the enemy of the flow of current.
The given data in the problem is;
P is the power= 1000 W
V is the voltage= 110 V
I is the current
R is the resistance
The resistance is found by the formula;
\(\rm P = \frac{V^2}{R} \\\\ \rm R = \frac{V^2}{P} \\\\ R = \frac{(100)^2}{10000} \\\\ R= 10\ ohm\)
Hence, the resistance value will be 10 ohms.
To learn more about the resistance, refer to the link;
https://brainly.com/question/20708652
#SPJ1
Two vehicles are traveling when they enter an intersection and crash and stick together. Both have a mass of 1,650 kg and both are traveling at 15 m/s. If one is headed North and the other is headed East, after the collision they end up traveling NE together at what speed (in m/s)? Please input your answer as a positive number with two decimal places.
Answer:
10.61 m/s
Explanation:
To find the final speed, we will use the conservation of momentum in each direction, so we can write the following equations:
\(\begin{gathered} p_{ix}=p_{fx} \\ m_1v_{1x}+m_2v_{2x}=(m_1+m_2)v_{fx} \\ \text{and} \\ p_{iy}=p_{fy} \\ m_1v_{1y}+m_2v_{2y}=(m_1+m_2)v_{fy} \end{gathered}\)Where m1 and m2 are the mass of the vehicles, v1 and v2 are their respective velocities in each direction, and Vfx and Vfy are the final velocities in each direction.
If one of the vehicles is headed north, its horizontal velocity Vx = 0 m/s. In the same way if the other is headed east, its vertical velocity Vy = 0m/s
Therefore, we can replace the values and solve the first equation as:
\(\begin{gathered} 1650(0)+1650(15)=(1650+1650)v_{fx} \\ 24750=3300v_{fx} \\ \frac{24750}{3300}=v_{fx} \\ 7.5m/s=v_{fx} \end{gathered}\)In the same way, we can solve the second equation as:
\(\begin{gathered} 1650(15)+1650(0)=(1650+1650)v_{fy} \\ 24750=3300v_{fy} \\ \frac{24750}{3300}=v_{fy} \\ 7.5m/s=v_{fy} \end{gathered}\)Now, we know that the vertical and horizontal speed was 7.5 m/s. So, we can calculate the final speed using the Pythagorean theorem as:
\(\begin{gathered} v=\sqrt[]{(v_{fx})^2+(v_{fy})^2} \\ v=\sqrt[]{(7.5)^2+(7.5)^2} \\ v=\sqrt[]{56.25+56.25} \\ v=\sqrt[]{112.5}=10.61\text{ m/s} \end{gathered}\)So, the speed after the collision was 10.61 m/s
In the middle of a thunderstorm, a lightning bolt flashes. It takes Roberto 5 seconds to
hear the thunder afterwards. How far is the source of lightning from Roberto? The temperature is 22° C.
Speed of sound at 22°C = ?
d = ?
You will be reported if you didn't answer properly
Answer:
v = 344.1 m / s
d = 1720.5 m
Explanation:
For this problem we must calculate the speed of sound in air at 22ºC
v = 331 RA (1+ T / 273)
we calculate
v = 331 RA (1 + 22/273)
v = 344.1 m / s
the speed of the wave is constant,
v = d / t
d = v t
we calculate
d = 344.1 5
d = 1720.5 m
two point sources are generating periodic waves in phase. the wavelength is 4.0 cm. a point on the second antinodal line is 30.0 cm from the nearest source. how far is this point from the farthest source?
The distance of the point from the farthest source of two point sources generating periodic waves in phase and the wavelength is 4.0 cm if a point on the second antinodal line is 30.0 cm from the nearest source is 28 cm.
The antinodal line is a line in which the maximum amplitude of the standing wave takes place. The 2nd antinodal line is located midway between the sources. The distance between two adjacent antinodes is given as λ/2, which is 2.0 cm in this case.
The distance of the point from the nearest source is 30.0 cm, which is equal to 15 × λ/2. As a result, the distance between the two sources is 15 λ /2 = 15 × 4 / 2 = 30 cm.
For any point on the second antinodal line, the total distance from each source is the same. The distance from the nearest source is 30.0 cm, so the distance from the farthest source is:
30 cm - 4 cm/2 = 28 cm
Therefore, the point is 28 cm away from the farthest source.
Learn more about antinodal line: https://brainly.com/question/12904532
#SPJ11
Which section from the article BEST explains why wavelength and frequency are dependent on each other? (A) "Amplitude And Height" (B) "Wavelength And Cycle" (C) "Frequency And Period" (D) "Speed"
the kinetic energy of a proton is 2/3 of its rest energy. what is the speed of the proton as a fraction of c?
Is there any more information regarding this question? It seems to be missing some data.
Un pez llamado PARGO ROJO vive a grandes profundidades. Si se pesca, al salir a la superficie puede tomar el aspecto de la foto porque su vejiga natatoria aumenta de volumen al disminuir la presión. La ley que lo explica es...
Answer:
Hay diversas leyes que podemos usar acá.
Acá sabemos que la vejiga aumenta su tamaño al reducir la presión, esto tiene sentido, pues al haber menos presión, hay menos fuerza que comprime la vejiga, lo que le permite aumentar su volumen.
Acá tenemos una relación inversa de la forma: V = K/P
Una relación inversa donde la presión esta en el denominador y K es un termino que no depende ni del volumen ni de la presión.
Entonces, a medida que aumenta P, el denominador aumenta, por lo que el valor del volumen decrece.
Un ejemplo de una ecuación similar es la del gas ideal, por ejemplo, para un gas ideal dentro de un globo de volumen V para una dada presión P:
V = nRT/P
donde n es el numero de moles, R es la constante termodinámica y T es la temperatura, acá podemos ver que esta ecuación tiene la misma forma fundamental que la escrita arriba.
Which statement is true of both coal-fired power plants and solar thermal power plants?
A Both coal and solar thermal plants utilize renewable resources.
B Both coal and solar thermal plants convert the same percentage of initial energy into electricity .
C Both coal and solar thermal plants use a heat source to create steam
D Both coal and solar thermal plants create greenhouse gases
Answer:
Option C is the correct statement.
Explanation:
Both coal-fired power plants and solar thermal power plants use a heat source to create steam, which then drives a turbine to generate electricity. In a coal-fired power plant, the heat is generated by burning coal to produce steam. In a solar thermal power plant, mirrors or lenses are used to concentrate sunlight onto a fluid, which is then heated to produce steam.
Option A is incorrect because coal is a non-renewable resource, while solar thermal power plants utilize renewable solar energy. Option B is incorrect because the conversion efficiency of coal-fired power plants is typically much lower than that of solar thermal power plants. Option D is partially correct, as coal-fired power plants are a major source of greenhouse gas emissions, while solar thermal power plants do not emit greenhouse gases during operation.
The pressure at the ice point for a constant-volume gas thermometer is 4.81 x 10^4 Pa. While that at the steam point is 6.48 x 10^4 Pa.
What pressure would the thermometer indicate at 50°c?
when you get the answer please tell me
1.
What is the corrected blow count in a fine saturated sand if the
recorded blow count is 45.
2. How do you determine the field density of a natural
deposits ?
1. The corrected blow count in a fine saturated sand if the recorded blow count is 45 is 35.5.
The N value (blow count) obtained from theblow count (SPT) in sands must be corrected for the dilatancy and overburden pressure effects. These corrections are used to provide the corrected N value, also referred to as the N60 value, which indicates the SPT blow count standardized for 60 percent energy transfer.2. Field density of natural deposits is determined using core cutter method and sand replacement method.
The field density of natural deposits can be determined by using core cutter method or sand replacement method. In the core cutter method, a sample is taken from the soil and placed in a cylindrical core cutter. After that, the volume of the soil is measured, and the dry density is calculated. On the other hand, sand replacement method involves the excavation of a hole in the ground. The hole is then filled with sand of known density, and the volume of sand required is measured. The dry density of the soil is then calculated based on the weight of the excavated soil and the volume of the hole.
To know more about sand replacement method, visit:
https://brainly.com/question/33450883
#SPJ11
A train goes 25000 m East in 1500 sec and then turns around and travels 29,000 m West for 1740 sec. Determine the distance, speed, displacement, and velocity.
Answer:
scalar d = 54000 m , v_average = 16,667 m / s
vector d = -4000 m , moved 4000 to the west
v_average = 0
Explanation:
his is a uniform motion exercise, but we must be careful with quantities that are scalars and vector quantities
The distance traveled is a scalar
d = d₁ + d₂
d = 25000 + 29000
d = 54000 m
the speed is a scalar, in the exercise it is not specified if the speed of each trajectory or the average speed. Therefore we will calculate the two
v₁ = d₁ / t₁
v₁ = 25000/1500
v₁ = 16,667 m / s
v₂ = 29000/1740
v₂ = 16,667 m / s
Since the two speeds are equal, the average speed is
v = (v1 + v2) / 2
v_average = 16,667 m / s
now let's calculate the displacement that is a vector, so it has direction in addition to modules
suppose the eastward direction is positive and the bold are vectors
d = d₁ - d₂
d = 25000 - 29000
d = -4000 m
this means that it moved 4000 to the west
velocity is a vector, we assume positive eastward movement
v₁ = 16,667 m / s
v₂ = - 16,667 m / s
v_average = (v1 -v2) / 2
v_average = 0
questionwhich term describes the process by which light passes through an object or a medium?responses reflection reflection refraction refraction transmission transmission absorption
The correct answer is transmission, term describes the process by which light passes through an object or a medium is called transmission.
The experience of light is crucial to human life. Because of the sun's light, we can grow the food we eat, and we can also see because when we view anything, a particular wavelength of light is reflecting off the thing and reaching our eye. Even an object's color is influenced by light. But how does light move, and how does it interact with things once it gets there? What happens to light as it strikes objects around us will be covered in this session.
The tiny particles that make up light are known as photons. Due of their dual behavior as a particle and a wave, photons are incredibly intriguing.
A mirror reflects light when it is shone upon it, much like a bouncing ball or any other particle might. Imagine shining a light through a keyhole so that it illuminates the entire space rather than just a small portion of it, as a laser would. Similarly, if someone shouted through that keyhole, it would be heard across the entire room, not only in that one area. Since sound is also a wave, this is also how light behaves as both a wave and a particle.
To learn more about Transmission from given link
https://brainly.com/question/3458079
#SPJ4
question 1.4 does the multimeter set to measure voltage act as a large resistance, or a small resistance? explain, based on your observations. why does it need to be designed this way?
Multimeter conducts like a big resistor. Since current will be very low due to the very high resistance, the circuit's overall current won't be impacted in the slightest. It will transmit the appropriate voltage
A passive electrical device known as a resistor adds resistance to the flow of electric current. They can be discovered in virtually all electrical networks and electronic circuits. One ampere of current (A) and a one volt (V) drop across a resistor's terminals produce an ohm, which is the resistance that results. The voltage at the terminal ends determines the current in a direct proportion. Ohm's law demonstrates how to calculate this ratio. Multiple applications exist for resistors. Among some examples are voltage division, heat generation, matching and loading circuits, current limiters for electric current, gain control, and time constant setting. With resistance values spanning a range of more than nine orders of magnitude, they are readily available on the market. Units of resister is omhs.In the International System of Units, the ohms serves as the reference unit for electrical resistance.
Learn more about resistance here:
https://brainly.com/question/11431009
#SPJ4
In an experiment a student uses a force to set an object in motion along a wooden plank and observes the distance the object
travels before stopping. He then uses grease to lubricate the surface of the plank. When setting the object in motion using the
same amount of force along the greased plank, he observes that the object travels a greater distance before stopping. Why does
this happen?
A)
The grease makes the surface of the plank frictionless.
B)
The grease increases the contact between the object and the plank.
The grease prevents the object from touching the surface of the plank.
Eliminate
D)
The grease reduces the coefficient of friction between the object and the
plank.
Answer:
Explanation:d
Should the kinetic coefficient of friction and the static coefficient change with a different mass
Explanation:
No. Surface contact area also no. The main issue is the types of materials in contact. Surface roughness somewhat matters. Certain surfaces such as ice are special in that pressure melts the ice.
The magnitude of the electric potential depends on which factors?
O A. Mass and amount of charge
O B. Mass and distance
O C. Distance and amount of charge
O D. Density and amount of charge
Answer:
C
Explanation:
It is directly propotional to the amount of charge and inversly propotional to distance.
Answer:
C. Distance and amount of charge
Explanation:
The magnitude of the electric potential depends on which factors?
Distance and amount of charge
If 1 kg = 1000g, 3 kg is
Answer:
3000g
hope this helps<3
An engineer is designing the runway for an airport. Of the plane that will use the airport, the lowest acceleration rate is likely to be 3 m/s2 . The takeoff speed for this plane will be 65 m/s. Assuming this minimum acceleration, what is the minimum allowed length for the runway?
Answer:
Approximately \(705\; {\rm m}\).
Explanation:
Let \(x\) denote the distance travelled before the plane takes off.
Let \(u\) denote the initial velocity of the plane, and let \(v\) denote the velocity of the plane when it takes off. It is given that the takeoff speed is \(v = 65\; {\rm m\cdot s^{-1}}\). Assuming that the plane was initially stationary, initial velocity would be \(u = 0\; {\rm m\cdot s^{-1}}\).
It is given that the acceleration of the plane would be \(a = 3\; {\rm m\cdot s^{-2}}\).
Since acceleration is constant, apply the SUVAT equation \(x = (v^{2} - u^{2}) / (2\, a)\) to find the value of \(x\):
\(\begin{aligned} x &= \frac{v^{2} - u^{2}}{2\, a} \\ &= \frac{(65)^{2} - (0)^{2}}{2\, (3)}\; {\rm m} \\ &\approx 705\; {\rm m}\end{aligned}\).
(Rounded up.)
Hence, the length of the runway should be at least \(705\; {\rm m}\).
A child is dragging a sled across the ground at a constant speed. The child pulls with a force of 15 N. The sled has a mass of 20 kg. What is the coefficient of friction between the sled and the ground?
Answer:
0.75N/kg
Explanation:
coefficient of force=force/mass
so 15N/20kg
=0.75N/kg
thanks!!