The riders on the fairgrounds ride will be subjected to a centripetal acceleration that is 2.00 times the acceleration due to gravity when the ride rotates at approximately 3.17 revolutions per minute.
To find the number of revolutions per minute, we need to relate the centripetal acceleration to the rotational motion of the ride.
The centripetal acceleration (ac) is given by the formula ac = ω²r, where ω is the angular velocity and r is the radius of the circular path.
We are given that the centripetal acceleration is 2.00 times the acceleration due to gravity (g). So, ac = 2g.
The acceleration due to gravity is approximately 9.8 m/s². Therefore, ac = 2 × 9.8 m/s² = 19.6 m/s².
The centripetal acceleration can also be expressed as ac = (4π²r) / T², where T is the period of rotation.
Substituting the values, we have (4π² × 9.00 m) / T² = 19.6 m/s².
Simplifying the equation, we get T² = (4π² × 9.00 m) / 19.6 m/s².
Taking the square root of both sides, we have T = √[(4π² × 9.00 m) / 19.6 m/s²].
T ≈ 3.17 seconds.
Since the period of rotation is the time taken for one revolution, the number of revolutions per minute is given by 60/T.
Substituting the value of T, we have 60 / 3.17 ≈ 18.92 revolutions per minute.
Therefore, the riders will be subjected to a centripetal acceleration 2.00 times that due to gravity when the ride rotates at approximately 3.17 revolutions per minute.
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An inclined plane reduces the amount of force needed to move an object by a.increasing the distance the object moves.
b.transferring more of the force to the object
c.reversing the direction the object is moved.y
By (a) extending the object's travel distance, an inclined plane decreases the force required to move the object.
What is force?At this point, describing a force as a push or a pull is perfectly acceptable. There is no such thing as a force that an object "has in it" or "contains." A force is applied to one thing by another. The idea of a force encompasses both living and non-living things. A force has the ability to alter or increase the velocity of a massed object. A simple way to express force is with a push or a pull.. The fact that a force has both a magnitude and a direction makes it a vector quantity.
How many types of force are there?Contact forces and remote action There are two distinct kind of forces. Your consistent use of force is obvious. Push and pull are basically forces. When you push or pull against an object, you apply force to it.
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why is SI unit established
Explanation:
The SI was established in 1960 by the 11th General Conference on Weights and Measures (CGPM, Conférence Générale des Poids et Mesures). The CGPM is the international authority that ensures wide dissemination of the SI and modifies the SI as necessary to reflect the latest advances in science and technology.
HELPP ASAP!!Which of the following is a true statement?
A.Organic carbón is found in all living things
B. a compound has different properties from each of its elements
C.Water is made from the elements of carbon and oxygen
D. Hydrogen compounds are the most comment in the world
Answer:A
Explanation
B a compound can ha e the same properties as it’s elements
C water is H2O- Hydrogen and oxygen
D water is the most common compound
Therefore A must be correct
Sunspots are dark areas on the surface of the Sun. They mark strong magnetic fields, and more sunspots indicate that the Sun is more active and is releasing more energy. The following graph presents the average daily number of sunspots from 1900 through 1944. Each data point is the average for one month.
Notice the series of peaks and troughs in the graph. The time from one minimum (trough) to the next is called a Solar Cycle. Solar Cycles can be anywhere from 9 to 14 years long.
What can be predicted with the most certainty from this graph?
A.
The next minimum in the graph will be in 1953.
B.
The average daily number of sunspots will peak in 1949.
C.
The average daily number of sunspots in 1949 will be 80.
D.
The average daily number of sunspots will increase throughout 1945.
Answer:
D
Explanation:
study island. first answer is wrong
The average daily number of sunspots will increase throughout 1945. therefore the correct answer is option D.
What is a solar system?It is a system in which the sun's gravitational attraction causes all the planets and celestial bodies to revolve around it.
As specified in the issue statement On the surface of the Sun are spots known as sunspots. Increased sunspots imply that the Sun is more active and is producing more energy since they are a sign of strong magnetic fields.
The average daily number of sunspots from 1900 to 1944 is shown in the graph below. The average for each data point is for one month.
The graph's sequence of peaks and valleys should be noted. A solar cycle is the period of time from one minimum (trough) to the next. Solar cycles can last from nine to fourteen years.
Thus, The average daily number of sunspots will increase throughout 1945, therefore the correct answer is option D.
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a person listening to a siren from a stationary police car observes the frequency and wavelength of that sound. the car now drives rapidly toward the person.
The frequency of that sound will be increased and wavelength of that sound decreases when the car drives rapidly toward the person.
What is Doppler effect?The term "Doppler Effect" describes the shift in wave frequency that occurs when a wave source and its observer move in relation to one another. Christian Johann Doppler made the discovery and defined it as the process of rising or falling starlight depending on the relative motion of the star.
The observer's velocity is 0 in this situation. The equation for the Doppler effect when a source is moving in the direction of an observer who is at rest is as follows:
f₁ ={ v/(v - u)}f
Where f is frequency of sound and v and u be velocity of sound and car respectively and f₁ is frequency appeared to the observer.
So, The frequency of that sound will be increased.
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Which change occurs when an atom undergoes alpha decay?
The nucleus loses mass and a new element is produced.
The nucleus gains a proton and a new element is produced.
The nucleus loses energy and remains the same element.
The nucleus loses a neutron and remains the same element.
The change that should arise at the time when an atom undergoes alpha decay is that nucleus loses mass and a new element is produced.
What is alpha decay?It is the type of radioactive decay where the atomic nucleus should be emitted an alpha particle and due to which it transforms and it should be distinct atomic nucleus.
Therefore we can say that The change that should arise at the time when an atom undergoes alpha decay is that nucleus loses mass and a new element is produced.
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does frequency of the sound affect speed of sound
Answer:
One of the more important properties of sound is that its speed is nearly independent of frequency. ... Therefore, the relationship between f and λ is inverse: The higher the frequency, the shorter the wavelength of a sound wave. The speed of sound can change when sound travels from one medium to another.
you are arguing over a cell phone while trailing an unmarked police car by 26 m; both your car and the police car are traveling at 110 km/h. your argument diverts your attention from the police car for 2.0 s (long enough for you to look at the phone and yell,"i won't do that!"). at the beginning of that 2.0 s, the police officer begins braking suddenly at 5.05 m/s2. (a) what is the separation between the two cars when
the separation between the two cars when you look back is 77.02 m.
To solve this problem, we can break it down into two parts: the initial motion of the cars and the motion during the 2.0 s diversion.
1. Initial motion:
Both cars are traveling at the same speed of 110 km/h, which can be converted to meters per second (m/s):
110 km/h = (110 * 1000) / 3600 = 30.56 m/s
During this time, the separation between the two cars remains constant at 26 m.
2. Motion during the 2.0 s diversion:
The police car begins braking suddenly at 5.05 m/s^2. We need to find the distance traveled by both cars during this time.
For the police car:
Using the equation of motion:
d = v₀t + (1/2)at²
where d is the distance, v₀ is the initial velocity, t is the time, and a is the acceleration.
d = 0 * 2.0 + (1/2) * (-5.05) * (2.0)^2
d = -10.1 m
For your car:
Since you are distracted and not braking, your car continues moving at a constant speed.
The distance traveled is given by:
d = vt
d = 30.56 * 2.0
d = 61.12 m
Now we can calculate the total separation between the two cars after the 2.0 s diversion:
Separation = Initial separation + Distance traveled during diversion
Separation = 26 + (-10.1) + 61.12
Separation = 77.02 m
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When magnet is plunged in and out of a coil of wire voltage is induced in the coil , If the rate of the in-and-out motion is doubled, the induced voltage is quadrupled_ is doubledl. remains the same is halved. A wire coil of cross-sectional area 0.020 In? rotates M a magnetic field of 1.5 T, It travels 90 degrees from an orientation with its normal aligned with the field t0 an orientation with its normal perpendicular to the field 2.00 mns_ The emf induced in the coil is: (a) 0.0 V (b) 0.75 V. c) 8.0 V. d) 10. V. e) 15 . V.
When a magnet is moved in and out of a coil of wire, a voltage is induced in the coil according to Faraday's law. The induced voltage depends on the rate of change of magnetic flux through the coil. If the rate of the in-and-out motion is doubled, the induced voltage is also doubled. This can be expressed by the equation:
E = -N dΦ/dtwhere E is the induced voltage, N is the number of turns in the coil, Φ is the magnetic flux, and t is the time.
A wire coil of cross-sectional area 0.020 m^2 rotates in a magnetic field of 1.5 T. It travels 90 degrees from an orientation with its normal aligned with the field to an orientation with its normal perpendicular to the field in 2.00 ms. The emf induced in the coil is:
E = -N dΦ/dt = -N A B d(cos θ)/dt = -N A B sin θ dθ/dtwhere A is the area of the coil, B is the magnetic field strength, θ is the angle between the normal and the field, and dθ/dt is the angular velocity.
Substituting the given values, we get:
E = -N (0.020) (1.5) sin (90) (π/0.002) = -47.1 N Vwhere N is the number of turns in the coil.
The possible choices for N are:
(a) 0(b) 16(c) 169(d) 213(e) 318The correct choice is (c) 169, since it gives an emf of about 8.0 V.
About Faraday's LawFaraday's law is a law of physics that explains how a magnetic field can produce an electric current. This law states that a change in magnetic flux through a closed wire will cause an electromotive force (EMF) in the wire. This emf is proportional to the rate of change of magnetic flux and is opposite in direction to the direction of change of magnetic flux.
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what are the proportions of sand, silt, and clay for the soil at point t?
Without further information or context, it is impossible to determine the proportions of sand, silt, and clay at point t.
Soil composition can vary greatly depending on location, climate, and geological history. Soil scientists use a variety of methods to determine the proportions of different soil particles, such as texture-by-feel analysis, which involves rubbing soil between fingers to determine the relative proportions of sand, silt, and clay. Other methods include laser diffraction and X-ray diffraction. Understanding the soil composition can help inform land use and management decisions, as different soils have varying water-holding capacities, nutrient availability, and erosion potential. It is important to gather specific information about the location in question to accurately determine soil composition.
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On January 22, 1943, in Spearfish, South Dakota, the temperature rose from −4.00°F to 45.0°F over the course of two minutes (the current world record for the fastest recorded temperature change). By how much did the temperature change on the Celsius scale?
Answer:
The change on the Celsius scale is 27.22 °C.
Explanation:
The conversion of Fahrenheit to Celsius is the following:
\(T = \frac{5}{9}(^{\circ} F - 32)\)
So, we need to convert T₁ and T₂ from °F to °C:
\(T_{1} = \frac{5}{9}(^{\circ} F - 32) = \frac{5}{9}(- 4 - 32) = -20 ^{\circ} C\)
\(T_{2} = \frac{5}{9}(^{\circ} F - 32) = \frac{5}{9}(45 - 32) = 7.22 ^{\circ} C\)
Hence, the change on the Celsius scale is:
\( \Delta T = T_{2} - T_{1} = 7.22 - (-20) = 27.22 ^{\circ} C \)
Therefore, the change on the Celsius scale is 27.22 °C.
I hope it helps you!
consider a satellite orbiting the earth at 17,500 mph. what would happen to a rock released from the satellite?
Answer:
The rock would orbit the earth at a velocity of 17,500 MPH next to the satellite.
can ya pls answer dis rq!
Answer:
I don't even know can u tell me how to ask questions
Describe how you would draw a diagram that shows the electric field between two particles that
attract each other.
Answer:
draw the two atomic structures and then focus in on the electrons either gaining or losing and draw them with arrows and dots
Explanation:
i got a 5/5
20 characters
10 POINTS TO WHOEVER ANSWERS!
What energy steps are involved in the operation of a pair of AirPods? Be specific and include the different transfers that take place.
(b) if one micrometeorite (a sphere with a diameter of 1.30 10-6 m) strikes each square meter of the moon each second, how many years would it take to cover the moon to a depth of 1.20 m? (hint: consider a box on the moon 1.00 m on a side and 1.20 m deep, and find how long it will take to fill the box.)
The time required to cover the Moon to a depth of 1.20 meters with micrometeorites.
To find out how long it would take to cover the Moon to a depth of 1.20 meters with micrometeorites, we can calculate the volume of the Moon and then divide it by the volume of one micrometeorite. Let's break down the calculation step by step:
Calculate the volume of the Moon:
The average radius of the Moon is approximately 1.737 ×10⁶ meters. Using the formula for the volume of a sphere, V = (4÷3)πr³, we can calculate the volume of the Moon.
\(V_{moon}\) = (4÷3)π(1.737 × 10⁶)³
Calculate the volume of one micrometeorite:
The diameter of the micrometeorite is given as 1.30 ×10⁽⁻⁶⁾ meters, which means the radius is half of that.
\(r_{meteorite}\) = (1.30 × 10⁽⁻⁶⁾)÷2
Using the formula for the volume of a sphere, V = (4÷3)πr₃, we can calculate the volume of one micrometeorite.
\(V_{meteorite}\) = (4÷3)π((1.30 × 10⁽⁻⁶⁾)÷2)³
Calculate the number of micrometeorites needed to fill the Moon:
To find the number of micrometeorites required to fill the Moon, we divide the volume of the Moon by the volume of one micrometeorite.
\(N_{meteorites}\) = \(V_{moon}\) ÷ \(V_{meteorite}\)
Calculate the time to fill the Moon:
Since one micrometeorite strikes each square meter of the Moon each second, we can equate the number of micrometeorites needed to fill the Moon to the number of seconds it would take.
Time = \(N_{meteorites}\) ÷ (1 m²/s)
Convert seconds to years:
Finally, we convert the time in seconds to years by dividing by the number of seconds in a year (assuming 365.25 days in a year and 24 hours in a day).
\(Time_{years}\) = Time ÷ (365.25 days/year × 24 hours/day × 3600 seconds/hour)
Performing these calculations will give us the time required to cover the Moon to a depth of 1.20 meters with micrometeorites.
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lorentz transformation can be made to go from frame where e and b are parallel
The Lorentz transformation equations are employed to switch between reference frames where the electric field (E) and magnetic field (B) are parallel. These equations incorporate the concepts of time dilation and length contraction within the framework of relativity theory.
According to the principle of relativity, the laws of physics remain consistent across all inertial reference frames moving at constant velocities relative to each other. To transition from one reference frame to another, the Lorentz transformation equations are utilized.
The general form of the Lorentz transformation equations is as follows:
x' = γ(x - vt)
y' = y
z' = z
t' = γ(t - vx/c²)
In these equations, x, y, z, and t represent the coordinates in the stationary frame, while x', y', z', and t' represent the coordinates in the moving frame. The variable v denotes the relative velocity between the two reference frames, and c represents the speed of light. Additionally, the γ factor, given by γ = 1/√(1 - v²/c²), is incorporated in these equations.
By employing the Lorentz transformation equations, it is possible to convert coordinates from one reference frame to another, enabling the analysis of physical phenomena in different frames of reference.
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7. A 1.5 N force is applied to an air hockey puck with a mass of 0.10 kg. With what
acceleration does the puck move across the air table?
Answer:
15m/s²
Explanation:
According to Newton's second law;
Force = mass * acceleration
Given
Force = 1.5N
mass = 0.10kg
Required
acceleration
Substitute into the expression;
1.5 = 0.1a
a = 1.5/0.1
a = 15m/s²
Hence the acceleration that the puck move across the air table is 15m/s²
If you throw a baseball horizontally with an initial speed of 25.0 m/s from a height of 1.90 m, how long (in s) will it take the ball to hit the ground?
Here the total time of flight is used to determine how long it will take the ball. it takes 5s to the ball to hit the ground.
Calculationu = 25 m/s
h= 1.90 m
so tine of ascent = v= u + at
so u = gt so we have t =u/g
putting up the values we have,
t = 2.5 s
so total time of flight = 5s = time taken by the ball to hit the ground.
How is drop by height determined?An object is said to be in free fall if there are no external forces acting on it other than gravity, which has the determined constant value of g = -9.8 m/s2. The object’s height, or h, is equal to ½ gravity times the square of the falling time. Horizontal projectile motion equations
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You're sitting on a warm granite rock, enjoying the sunshine. You decide it's time to test the water. You take off your shoes and walk across the cool sand to the water. You wade into the water, enough to cover your feet. Brrr! The water is cold. You will have to wear a dry suit when you go diving.
a. Which item - the granite rock, the sand, or the water - has the highest specific heat? Which has the lowest specific heat?
b. Which item requires the least energy to increase its temperature? Explain your answer in terms of this item's specific heat.
c. If the granite rock on which you were sitting has a specific heat of 600 J/(kg°C), how much energy must be added to a 2-kilogram piece of it to increase its temperature from 20°C to 30°C? Show your work, including the equation you need to perform this calculation.
d. What is the second law of thermodynamics? Use this law to describe why your feet got cold, not hot, when you put them in the water.
Answer: seen below
Explanation:
a) Water has the highest specific heat capacity in this case while sand has the lowest specific heat capacity.
b) Sand absorb the least energy for it temperature change (increase or decrease). This means that their temperatures change more quickly due to it low specific heat capacity of 0.290J/g°C) at 25°C)
c) using the formula:
Q = m × cP × (final temperature -initial temperature)
where:
Q = heat
m = is the mass
cP = is the mass heat capacity,
T= is the temperature
Q = 2 kg × 600 J/(kg°C) × (30°C - 20°C)
Q = 12000 J
d) in simpler term, The second law of thermodynamics states that when energy changes from one form to another form, entropy The second law of thermodynamics says that when energy changes from one form to another form, or matter moves freely, entropy (which is a measure of the amount of energy in a physical system that cannot be used to do work) in a closed system increases. This is why your feet gets cold when you put them in the water.
How many seconds will it takes to stop?
In order to find the time it takes, first let's convert the distance from miles per hour to feet per second: calculate the acceleration using Torricelli's equation
\(40\text{ mph}=40\cdot1.467\text{ ft/s}=58.7\text{ ft/s}\)Then, let's :
\(\begin{gathered} V^2=V_0^2+2\cdot a\cdot d\\ \\ 0^2=58.7^2+2\cdot a\cdot50\\ \\ 100a=-3445.7\\ \\ a=-34.46\text{ ft/s^^b2} \end{gathered}\)Now, we calculate the time with the formula below:
\(\begin{gathered} \Delta S=V_0t+\frac{at^2}{2}\\ \\ 50=58.7t-17.23t^2\\ \\ -17.23t^2+58.7t-50=0\\ \\ t=\frac{-58.7\sqrt{58.7^2-4\cdot(-17.23)\cdot(-50)}}{2\cdot(-17.23)}\\ \\ t_1=t_2=1.7 \end{gathered}\)Therefore the time required is 1.7 seconds.
If the total force on the object is not zero, its motion will
A car traveling along the highway needs a certain amount of force exerted on it to stop it in a certain distance. More stopping force is required when the car has:.
Answer:
Higher mass or higher speed
Explanation:
Higher mass will require more force
F= ma if m goes up F goes up to stop in the same distance
What are the basic formulas in physics?
Here are just some of the basic formulas used in physics. The formulas used in physics can be divided into various categories such as mechanics, thermodynamics, electromagnetism, optics, and so on.
Here are some of the basic formulas used in physics:
Kinematics:
Distance = Velocity x Time (d = vt)
Velocity = Displacement/Time (v = Δd/Δt)
Acceleration = Change in Velocity/Time (a = Δv/Δt)
Dynamics:
Force = Mass x Acceleration (F = m x a)
Work = Force x Distance (W = F x d)
Power = Work/Time (P = W/t)
Energy:
Kinetic Energy = 0.5 x Mass x Velocity^2 (KE = 0.5 mv^2)
Potential Energy = Mass x Gravity x Height (PE = mgh)
Total Energy = Kinetic Energy + Potential Energy (E = KE + PE)
Waves:
Speed = Frequency x Wavelength (v = fλ)
Energy = Power x Time (E = Pt)
Electromagnetism:
Coulomb's Law: Force between two charged particles (F = kq1q2/r^2)
Ohm's Law: Voltage = Current x Resistance (V = IR)
Faraday's Law of Induction: Induced EMF = Change in magnetic flux/Time (ΔΦ/Δt)
Thermodynamics:
Ideal Gas Law: Pressure x Volume = Number of particles x Boltzmann's constant x Temperature (PV = nRT)
Heat Capacity: Heat added = Heat Capacity x Change in Temperature (Q = CΔT)
First Law of Thermodynamics: Energy cannot be created or destroyed, only transformed from one form to another (ΔE = Q - W)
The list is not exhaustive and there are many more formulas that are used in different areas of physics.
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A swimming pool has dimension of 30m×10m×3m. When it is filled with water , what is the thrust on the bottom and sides
Answer:
3,900m³
Explanation:
calculate the energy of 1kg of concrete from 20⁰c to 30⁰c
Answer:
9 kilojoules of energy are stored in a kilogram of concrete due to sensible heat.
Explanation:
In this exercise we need to determined the sensible heat store in a kilogram of concrete due to a change in temperature. Sensible heat (\(Q\)), measured in kilojoules, is defined by the following expression:
\(Q = m\cdot c\cdot (T_{f}-T_{o})\) (1)
Where:
\(m\) - Mass, measured in kilograms.
\(c\) - Average specific heat of concrete, measured in kilojoules per kilogram-degree Celsius.
\(T_{o}\), \(T_{f}\) - Initial and final temperatures of concrete, measured in degrees Celsius.
If we know that \(m = 1\,kg\), \(c = 0.9\,\frac{kJ}{kg\cdot ^{\circ}C}\), \(T_{o} = 20\,^{\circ}C\) and \(T_{f} = 30\,^{\circ}C\), then the energy store in a kilogram of concrete is:
\(Q = (1\,kg)\cdot \left(0.9\,\frac{kJ}{kg\cdot ^{\circ}C} \right)\cdot (30\,^{\circ}C-20\,^{\circ}C)\)
\(Q = 9\,kJ\)
9 kilojoules of energy are stored in a kilogram of concrete due to sensible heat.
what voltage produces a current of 100 amps with a resistance of 50 ohms
\( \sf• \: Current \: (I) = 100 \: Amps.\)
\( \sf• \: Resistance \: (R) = 50 \: ohms\)
\( \\ \)
\(\bf{ \underline{To \: Find:- }}\)\( \sf• \: Voltage \: (V)\)
\( \\ \)
\( \huge\bf{ \underline{Solution:- }}\)
\( \bf \red{ \bigstar{ \: The \: formula \: of \: Voltage \: (V) = IR}}\)
\( \rightarrow \sf V = 100 \times 50\)
\( \rightarrow \sf V = 5000\)
\( \\ \)
\( \bf \purple{Therefore, \: Volatage \: is \: 5000 \: v.}\)
Solve for angles A-D
It takes at least 4 people to push a refrigerator up a 10-meter ramp. How many people would be needed to push the same refrigerator to the same height using a 20-meter ramp? (Assume no friction for both ramps. )
define Accleration due to gravity
Answer:
The acceleration of freely falling bodies due the force of attraction of the other body is called Acceleration due to gravity. It is a constant quantity for a given attracting body at a given place. Like for earth on or near its surface, the average value of acceleration due to gravity is 9.8 m/s2.
Answer: The acceleration de to gravity on eon the moon it has earth has a pull and on the moon it is mass <3