You are holding a positive charge and there are positive charges of equal magnitude 1 mm to your north and 1 mm to your east. What is the direction of the force on the charge you are holding
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If I hold a positive charge in my hand and there are positive charges of equal magnitude 1 mm to your north and 1 mm to your east then the direction of the force on the charge I am holding is towards the north-east direction.
Reasoning:
It is given that there is a positive charge in my hand. There are two more positive charges with the same magnitude. One is 1 mm far towards the east, and the other one is 1 mm far towards the north. It is required to find the direction of the force acting on the charge in my hand.
Let the magnitude of the charge in my hand is Q, and the magnitude of the other charges is q.
Thus the electric force applied on the charge in my hand due to each other is,
[tex]F=\frac{kQq}{r^2}[/tex]
Here k is the Coulomb constant, and r is the distance between the charges.
It is also known that the force on a positive charge due to another positive charge is acted outwards.
Thus, the force on the charge due to the charge on the east is,
[tex]\vec{F_1}=\frac{kQq}{( 10^{-3}\text{ m})^2}\hat{i}[/tex]
And the force on the charge due to the charge on the north is,
[tex]\vec{F_2}=\frac{kQq}{( 10^{-3}\text{ m})^2}\hat{j}[/tex]
As the forces are equal in magnitude and one is perpendicular to the other, thus the net force will be acted at an angle of [tex]45^\circ[/tex] from the north or from the north direction.
Thus the net force is acting in the north-east direction.
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Related Questions
A 25. 00 ml sample of acetic acid containing phenolphthalein indicator is titrated with 0. 1067 m naoh. The solution changes color after 30. 07 ml naoh has been added. What is the concentration of the acetic acid before titration?.
Answers
The concentration of the acetic acid:
The concentration of the acetic acid before titration is 0.128M
Reaction of phenolphthalein with NaOH:
The sodium hydroxide will start interacting with phenolphthalein as soon as enough sodium hydroxide has been added to the acetic acid such that there is no longer any unreacted acetic acid. Pink solution is produced when phenolphthalein and sodium hydroxide combine.
Calculation:
The balanced equation:
CH₃COOH + NaOH ⇒ CH₃COONa + H₂O
Given:
Quantity of NaOH = 0.1067 M
Volume of NaOH = 30.07 ml
= 30.07 / 1000
= 0.03007 L
For weak acid and strong base titration = Moles of acetic acid = moles of NaOH
Moles of NaOH = concentration X volume
0.1067 X 0.03007 = 0.0032
Thus, moles of acetic acid = 0.0032mole,
By employing the formula,
Concentration = Moles/Volume
= 0.0032/0.025
= 0.128M
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Why is it so much easier to determine the length of the day on mars than on venus?
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The thick cloud cover of Venus makes it difficulty in visibility because of impenetrable in visible light which has made it tough for astronomers to measure the length of the planet's day . Whereas Mars have clear atmosphere which do not hinder visibility
The most important reason of why is it difficult to measure the length of the day on Venus is tougher than in mars is that Mars' atmosphere is generally clear because of which their is no visibility issue on mars but due to the thick cloud covering of Venus makes it impenetrable in visible light , due which visibility is not that clear and it become tough to observe the length of the day on Venus.
Mars is much larger than Venus in size which makes easier to observe
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One method of getting a tight fit, say of a metal peg in a hole in a metal block, is to manufacture the peg slightly larger than the hole. The peg is then inserted when at a different temperature than the block. Should the block be hotter or colder than the peg during insertion
Answers
The block should be colder than the peg during insertion.
To find the answer, we have to know more about the thermal expansion of metal.
What is thermal expansion of metal?Metals' Thermal Expansion The phenomenon of material expanding on heating and contracting on cooling is now well-known. An object changes in size when heated. Depending on the body's form. It is known as linear expansion if the expansion takes place linearly.The peg should be warmer than the metal block. Since the metal peg is made larger, the temperature of the metal block should be lower than that of the peg in order for the metal block's thermal expansion to provide a tight fit when the peg is inserted into the hole and the temperature rises.Due to the metal's tendency to expand as temperature rises, the hole's size decreases. As a result, at the time of insertion, the metal block's temperature should be lower than the peg's temperature.Thus, we can conclude that, the block should be colder than the peg during insertion.
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A 350-g mass is attached to a spring whose spring constant is 64 N/m. Its maximum acceleration is 5.3 m/s2. What is the frequency of its oscillations?
Answers
The frequency of oscillation is 2.153 Hz
What is the frequency of spring?
Spring Frequency is the natural frequency of spring with a weight at the lower end. Spring is fixed from the upper end and the lower end is free.
For the mass-spring system in this problem,
The Frequency of spring is calculated with the equation:
[tex]f = \frac{1}{2\pi } \sqrt{\frac{k}{m} }[/tex]
Where,
f = frequency of spring
k = spring constant = 64 N/m
m = mass attached to spring = 350g = 0.350 kg
a = maximum acceleration = 5.3 m/s^2
Substituting the values in the equation,
[tex]f = \frac{1}{2\pi } \sqrt{\frac{64}{0.350} }[/tex]
[tex]f = \frac{1}{2\pi } ( 13.522)[/tex]
[tex]f = 2.1535 Hz[/tex]
Hence,
The frequency of oscillation is 2.153 Hz
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There may be installations where grounded conductors of different systems are installed within the same raceway, cable, or box. In these cases, it's imperative that the system-grounded conductors remain
A. separated.
B. disconnected.
C. spliced.
D. buried.
Answers
It is imperative that the system-grounded conductors remain buried and is denoted as option D.
What is a Conductor?This is referred as a substance which allows electricity and heat to flow through it and examples include metals.
These conductors have to be buried so as to prevent the risk of contact and electrocution of individuals thereby making it a safe method.
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What force is large enough to change the direction of a planet?
A. Gravity
B. Friction
C.Tension
D. Air Resistance
Answers
Answer:
Gravity
Explanation:
The more massive the object is, the higher the gravity
Hence, a massive star, like our sun, has enough gravity to pull on planets and keeping them in orbit
The holding coil on a hydromatic propeller feathering button switch holds a solenoid relay closed that applies power to the propeller?
Answers
An electric propeller is powered by a solenoid relay that is kept closed by the holding coil on a hydromatic propeller feathering button switch. It is a kind of feathering pump motor.
What does it mean to feather an engine?
If an engine needs to be turned off, the feather is used. The blades are rotated during feathering such that the extent to which a leader is virtually pointing in the flying direction. The propeller's aerodynamic forces cause a low drag state in this position. It is composed of a solenoid relay.What is meant by solenoid relay?
A form of relay designed to wirelessly change a stronger current is called a solenoid. A coil is utilized to create an electromagnetic environment when power is transferred through it, similarly to the tiny motorized cube relays, that efficiently open or shut the circuit.
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A certain frictionless simple pendulum having a length l and mass m swings with period t. If both l and m are doubled, what is the new period?.
Answers
If l and m both are doubled then the period becomes √2*T
what is a simple pendulum?
It is the one which can be considered to be a point mass suspended from a string or rod of negligible mass.
A pendulum is a weight suspended from a pivot so that it can swing freely.
Here,
A certain frictionless simple pendulum having a length l and mass m
mass of pendulum = m
length of the pendulum = l
The period of simple pendulum is:
[tex]T = 2\pi \sqrt{\frac{l}{g} }[/tex]
Where k is the constant.
Now the length and mass are doubled,
m' = 2m
l' = 2l
[tex]T' = 2\pi \sqrt{\frac{2l}{g} }[/tex]
[tex]T' = \sqrt{2}* 2\pi \sqrt{\frac{l}{g} }[/tex]
[tex]T' = \sqrt{2} * T[/tex]
Hence,
If l and m both are doubled then the period becomes √2*T
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A small mailbag is released from a helicopter that is descending steadily at 1.53 m/s. (a) After 4.00 s, what is the speed of the mailbag? v = m/s (b) How far is it below the helicopter? d = m (c) What are your answers to parts (a) and (b) if the helicopter is rising steadily at 1.53 m/s?
Answers
Answer: A small mailbag is released from a helicopter that is descending steadily at 1.53 m/s. Then,
a) after 4s, the speed of the mailbox will be, 40.73m/s downwards.
b)78.4m downwards.
c) v=37.67m/s downward. and d=78.4m downward.
Explanation: To find the answer, we need to know more about the equations of uniformly accelerated motion.
What are the equations of uniformly accelerated motion?The equations of uniformly accelerated motion under gravity are,[tex]v=u+at\\S=ut+\frac{1}{2}at^2\\ v^2-u^2=2aS\\S=\frac{v+u}{2}t[/tex]
How to solve the problem?a) speed of the mailbag after 4s,[tex]v=u+gt=-1.53-(9.8*4)=-40.73 m/s^2[/tex]
b) How far it is below the helicopter,[tex]d_1=ut+\frac{1}{2}gt^2=(-1.53*4)+\frac{-9.8*16}{2} =-84.52 m\\d_2=vt=-40.73*4=-162.92 m\\d=-162,92+84.52=-78.4m[/tex]
c) If the helicopter is rising steadily, then v and d will be,[tex]v=u+gt=1.53-(9.8*4)=-37.67 m/s[/tex]
[tex]d_1=ut+\frac{1}{2}gt^2=(1.53*4)+\frac{-9.8*16}{2} =-72.28 m\\ d_2=vt=-37.67*4=-150.68 m\\d=-150.68+72.28=-78.4 m[/tex]
Thus, we can conclude that, the answers to the question are, a) after 4s, the speed of the mailbox will be, 40.73m/s downwards.
b)78.4m downwards.
c) v=37.67m/s downward. and d=78.4m downward.
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Would the numerical values of the thermal coefficients would have been the same if the temperatures had been measured in Fahrenheit instead of Celsius
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The numerical values of the thermal coefficients would change if the temperatures had been measured in Fahrenheit instead of Celsius.
Why would the numerical values of thermal coefficients change if the temperature is measured in Fahrenheit instead of Celsius?The amount it expands is, of course, a property of the material and cannot be altered. When we use alternative units of measurement, though, we communicate this differently. It will therefore be 9/5 of its value in "per degree C" if it is stated as "per degree F".For example:Saying the speed of light is 299792458 m/s, or 186282.397 miles per second, is equivalent. The representation alters but not the speed of light.What is the Coefficient of thermal expansion?The rate at which a material expands as temperature rises is known as the coefficient of thermal expansion (CTE). The material is assumed to still be in its solid or fluid form as this coefficient is calculated at constant pressure and without a phase transition.A material will expand more in response to heat if its coefficient of thermal expansion is higher.T o learn more about thermal coefficients visit:
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Differences between sublimation and condensation
Answers
The difference between sublimation and condensation is that
Sublimation is used to in a separation technique to separate sublime substance from a mixture while condensation is the
is the process where water vapor becomes liquid
What is separation technique?This technique is used in chemistry to separate two or more constituents from a mixture
In conclusion, sublimation differs from condensation because sublimation is used to in a separation technique to separate sublime substance from a mixture while condensation is the
is the process where water vapor becomes liquid
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if the force acting on a body of mass 40 kg is doubled . by how much will the acceleration change
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In the circuit shown, switch S is first pushed up to charge the capacitor. When S is then pushed down, the current in the circuit will oscillate at a frequency of:
Answers
The current in the circuit will have an oscillation frequency of = 318 Hz
For oscillating frequencies, the time period, amplitude, and wavelength are the three most crucial components. The difference between the oscillation's highest and minimum points is represented by its amplitude, which is measured in terms of time.
The following formula can be used to get the oscillating wave's frequency from the time period:
Frequency (f) = 1/Time period
Oceanic waves and sound both require a minimum physical distance to complete an oscillation cycle. The term "wavelength" refers to a physical measurement between two points at regular intervals. The number of events in one unit of time is known as the frequency (f). The frequency of periodic motion is the number of oscillations per unit of time.
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___________ is defined as intentionally directing someone to or away from specific areas based on the ethnicity of the person or the area.
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Steering is defined as intentionally directing someone to or away from specific areas based on the ethnicity of the person or the area.
There are generally three terms used in real estate and that are Steering, Redlining and Blockbusting.
Buyers are guided by steering according to their class.
Redlining mainly refers to the loan industry's discrimination against purchasers.
Blockbusting is the practice of persuading residents of a neighborhood to sell their home because the socioeconomics of the area are deteriorating.
Steering is the act of influencing a buyer's selection of a community based on one of the racial, ethnic, religious, gender, familial, or national origin protected categories listed in the Fair Housing Act.
Hence, Steering is defined as intentionally directing someone to or away from specific areas based on the ethnicity of the person or the area.
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Some tornadoes have central downdrafts that accompany the massive rotating updrafts.
a. True
b. False
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Some Tornadoes have central downdrafts that accompany the massive rotating updrafts. True
Mid-altitude winds come into the storm from the rear (or on the west or southwest side). As this dry, cool air enters the system, rain evaporates, cooling it even more. The cooling air becomes cooler than the surrounding air, sinks, and forms a strong downdraft.
Updrafts characterize a storm's early development, during which warm air rises to the level where condensation starts and precipitation starts to expand. In a mature storm, updrafts are present alongside downdrafts caused by cooling and falling precipitation.
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As the volume of a chamber decreases, the pressure inside the chamber ____________ . as the volume increases, the pressure ____________ .
Answers
Answer: Increases, decreases
Explanation:
As the volume of a chamber decreases the pressure inside the chamber increases. As the volume increases the pressure decreases
A carnival ferris wheel has a 15-m radius and completes five turns about its horizontal axis every minute. What is the acceleration of a passenger at his lowest point during the ride?.
Answers
The acceleration of the person is 4.108 m/s^2.
What is acceleration?
The acceleration is the rate of change in the velocity in a unit of time.
Angular velocity: The change in angular displacement in a unit of time is called angular velocity.
Tangential velocity: The tangential velocity can be defined as the velocity of an object which is perpendicular to the radius in the rotational motion.
The relation between angular velocity ω, tangential velocity v, and radius r from the axis when the radius is perpendicular to the tangential velocity is,
v=ω*r
Given r=15 m, and ω=5 turns/minutes, substitute these values in the above formula.
Note: 1 turn/minute = 2π/60 rad/s.
v=(5 turns/minutes)*15 m
v=(5*2π/60 rad/s)* 15 m
v=7.85 m/s
Since the motion is circular, and the person is at the lowest point of the wheel, so the acceleration due to gravity will have no effect as it is perpendicular to tangential velocity here. The acceleration a for rotational motion is given by,
a=v^2/r
Substitute v=7.85 m/s, and r=15 m in this equation and solve it.
a=(2.094)^2/(15)
a=4.108 m/s^2
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P waves ________. P waves ________. are faster than S waves and surface waves have higher amplitudes than do S waves propagate only in solids produce the strongest ground shaking
Answers
P waves are faster than S waves and surface waves.
Surface wavesA surface wave in physics is a mechanical wave that travels at the interface of two different media. Gravity waves on the surface of liquids, like ocean waves, are an example that is frequently used. When two liquids with different densities come together, gravity waves can also form at that junction. Solid surfaces can experience elastic surface waves like Rayleigh or Love waves. The way that electromagnetic waves can be steered along a gradient in refractive index or at the boundary between two substances with varying dielectric constants is known as "surface wave" propagation. A guided wave that travels relatively close to the Earth's surface constitutes a ground wave in radio transmission.
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you are the person in charge of building a nuclear power plant in florida. your first choice is to select a
Answers
Answer: you are the person in charge of building a nuclear power plant in Florida. your first choice is to select a site for building the power plant.
Explanation: To find the answer, we need to know more about the nuclear power plants and the criteria to select the site for power plant.
What you mean by nuclear power plants?Nuclear power can be defined from the nuclear fission reaction.These power plants will heat the water to produce steam and this steam is used to spin large turbines and thus generates electricity.How to select the site for nuclear power plant?We have to consider the following things,keep distance from populated area.distance from load center.Accessibility to site.Water availability and fuel availability.waste disposal.Thus, we can conclude that, before building a nuclear power plant, our first choice should be to select a site.
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mechanical equivalent of heat Do the data for the second part of the experiment support or refute the second hypothesis
Answers
When we state something about the results on the basis whether the observed data supports the original hypothesis, we say that we are concluding the results.
What is the relationship between force and acceleration based on Newton's 2nd law?
Newton's second law of motion can be formally stated as follows: The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
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A gas is enclosed in a container fitted with a piston of cross-sectional area 0.10 m2 . the pressure of the gas is maintained at 8000 nm-2 . when heat is slowly transferred, the piston is pushed up through a distance of 4 cm. if 42 j heat is transferred to the system during the expansion, what is the change in internal energy of the system?
Answers
The change in internal energy is 10 J.
Calculation:Given,
Cross-sectional area, A = 0.10 m²
Pressure of gas, P = 8000 N/m²
Displacement, s = 4 cm = 0.04 m
Heat transferred, H = 42 J
To find,
Change in internal energy =?
We know that, as per Law of thermodynamics,
Change in internal energy = Heat - Work
Force = pressure × area
= 8000 × 0.10
= 800 N
Work = Force × Displacement
= 800 × 0.04
= 32 J
Change in internal energy = Heat - Work
= 42 - 32
= 10 J
Hence, the change in internal energy is 10 J.
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What is constant in the horizontal direction for a projectile?
Answers
Answer:
initial velocity is the constant in horizontal projectile
A 7.7 V power supply is connected to a 79 Ohm resistor and a 87 Ohm resistor in parallel. What is the total current through the circuit? Round your answer to 2 decimal places.
Answers
The total current through the circuit is 0. 19A
How to determine the currentWe have the formula for power to be;
Current, I = V/R
Voltage = 7. 7V
Resistance in parallel = R1R2/ R1 + r2
Resistance in parallel = [tex]\frac{79 * 87}{87 + 79}[/tex] = [tex]\frac{6873}{166}[/tex] = 41. 40 Ohms
Current = [tex]\frac{7. 7}{41. 40}[/tex] = 0. 19 A
Thus, the total current through the circuit is 0. 19A
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A car is traveling north on a straight road at 20 mys and a drone is flying east at 6 mys at an elevation of 25 m. At one instant the drone passes directly over the car. How fast is the distance between the drone and the car changing 5 seconds later
Answers
The distance between the drone and the car will be 20,3 m/s.
What is average velocity?
In physics, velocity is a quantity that identifies the displacement of a body in a given time. Thus, the average velocity measures in an average time interval, the speed of displacement of a body.
With that being said, Suppose that both car and drone starts from 0 and move towards north and east, respectively. So, after T time:
Distance covered by the car, [tex]y = 20.T.m[/tex]
Distance cover by the drone, [tex]x = 6.T.m[/tex]
Considering the elevations of 25m, the actual distance between them at any T instant:
[tex]A = \sqrt{(20T)^{2} } + (6T)^{2} +25^{2}[/tex]
Speed, [tex]V = \frac{ds}{dt} = \frac{[2(20T).20+2(6T).8}{\sqrt{(20.5)^{2}+(6T)^{2}+25^{2} } }[/tex]
[tex]V = 20,3 m/s[/tex]
So, the distance between the drone and the car will be 20,3 m/s.
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Answer:
20.3 m/s
Explanation:
dx / dt = 20 m / s
dy / dt = 6 m / s
dj / dt = ? when t = 5 s
The trick here is that the drone is flying at an elevation of 25 m.
x^2 + y^2 = j^2
Implicit Differentiation: 2x dx / dt + 2y dy / dt = 2j dj / dt
We are not given x and y values. Solve by d = vt. Distance = velocity * time
x = 20(5) = 100 m
y = 6 (5) = 30 m
Now we need to solve for j, but we need to solve the hypotenuse z of the right triangle first.
z = [tex]\sqrt{(100)^2 + (30)^2[/tex] ≈ 104.4 m
A mistake occurs when z is used as the distance between the drone and the car. Visualize the distance between the drone and the car as the right triangle where j is the hypotenuse, z is the x value, and 25 m is the y value.
j = [tex]\sqrt{(104.4)^2+(25)^2[/tex] ≈ 107.35 m
dj / dt = 1 / 2(107.35)((4000 + 360)) ≈ 20.3 m/s
Two 5000-kg passenger cars roll without friction (one at 1 m/s, the other at 2 m/s) toward one another on a level track. They collide, couple, and roll away together with a combined momentum of
Answers
The combined momentum of the passengers is 5000 kgm/s.
Combined momentum of the passengerThe combined momentum of the passengers is calculated as follows;
P = mv1 + mv2
where;
m is mass of the passengersv1 is velocity of the first passengerv2 is velocity of the second passengerP = m(v1 + v2)
P = 5000(-1 + 2)
P = 5000 kgm/s
Thus, the combined momentum of the passengers is 5000 kgm/s.
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A 67 V power supply is connected to three identical resistors in series. If the current through the resistors is measured at 0.95 A, what is the value of each resistor? Round your answer to 2 decimal places.
Answers
The value of each resistor is 23.51 ohms.
Value of each resistor
The value of each resistor is calculated as follows;
R₁ = R₂ = R₃ = R
Total resistance, Rt = 3R
V = IRt
V = I(3R)
R = V/3I
R = (67)/(3 x 0.95)
R = 23.51 ohms
Thus, the value of each resistor is 23.51 ohms.
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with the enterprise of video-gaming technology growing every year, researchers have ercently become interested in the effects of violent video games
Answers
Meta-analysis indicates that violent video games increase aggressive thoughts, aggressive affect, and aggressive behavior.
What are the effects of Violent video games ?Children who play violent video games have increased aggressive cognitions, aggressive behavior, psychological arousal as well as antisocial behavior.
Furthermore, exposure to violence in the games leads to desensitization- “a reduction in emotion-related physiological reactivity to real violence”The downside of video games is that the more time children and teens spend playing violent video games the more likely they are to display aggressive behavior.Learn more about Violent video games here:
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A stone is thrown horizontally from the top of a tower at the same instant a ball is droppedvertically. Which object is traveling faster when it hits the level ground below?
Answers
The ball is travelling faster when the two objects hits the level ground below.
Time of motion of the objectsThe time of motion of the objects depends on height and initial velocity of projection of the objects.
The stone has no initial vertical velocity while the ball has initial vertical velocity.
Thus, the ball is travelling faster when the two objects hits the level ground below.
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If you take a given pendulum to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of the pendulum will
Answers
As the acceleration of gravity is less on the moon than on the Earth, thus the resonant frequency of the pendulum will be less on the moon.
Explanation:
The acceleration due to gravity is less on the moon than the gravitational acceleration on the earth. It is required to examine how the resonant frequency of a pendulum is changed on the moon compared to the earth.
We know that the resonant frequency is dependent on the acceleration of gravity.
[tex]$f=\frac{1}{2 \pi} \sqrt{\frac{g}{l}}$[/tex] where g is the acceleration due to gravity and l is the length of the string.
From the above equation, it is clear that the resonant frequency is directly proportional to the square root of the acceleration due to gravity.
The gravitational acceleration on the moon is less than that on the earth.
Therefore the resonant frequency of the pendulum on the moon is less than that on the earth.
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A bicycle with 20 -inch diameter wheels is traveling at 16 mi/h. Find the angular speed of the wheels in rad/min.
Answers
The angular speeds of the wheels is 1,647.28 rad/min
What is Angular Velocity?angular velocity is the speed at which the angle between two bodies changes as an item rotates or revolves around an axis.
The diameter of a bicycle, d = 20inches
Radius, r = 10 inches
The bicycle is travelling at 16 mi/h.
We need to find the angular speed of the wheels in rad/min.
We know that,
1 mi/h = 0.0166667 mi/min
It means,
16 mi/h = 0.26 mi/min
Also,
10 inch = 0.0001578356 miles
The angular speeds of the wheels is given by :
v = rω
ω = v/r
ω = 0.26/0.0001578356
ω = 1,647.28 rad/min
So, the angular speeds of the wheels is 1,647.28 rad/min
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