Answer:
B
Explanation:
In a solid, particles vibrate in place. For gas, particles can move freely. In a liquid, particles will flow over one and another.
the force F acting on a body along a circular path depends on a mass of the body (m),velocity(v) and radius (r) of the circular path.obtain the expression for the force by dimensional analysis method(take constant k to be 1)
the required equation for centripetal force is F = k m¹ v¹ r⁻¹.
A particle traveling uniformly in a circle experiences a centripetal force, F, which is dependent on the mass (m), velocity (v), and radius (r) of the circle.
the F formula using the dimensions method is
Suppose F = k mᵃvᵇrⁿ. (i)
Where a, b, and n are the respective powers of m, v, and r and k is the dimensionless constant of proportionality.
Upon putting the measurements of various amounts in (i)
we get
[M¹L¹T‐²] = Mᵃ[LT‐¹]ᵇ Lⁿ
=> [M¹L¹T‐²] = Mᵃ Lᵇ Lⁿ T⁻ᵇ
=> [M¹L¹T-²] = Mᵃ Lᵇ⁺ⁿ T⁻ᵇ
on comparing both sides we get
a = 1
b+n = 1
-b = -2 => b = 2
Then n = -1
Onputting these values in (i),
we get
F = k m¹ v¹ r⁻¹
Or
F=k(mv²)/r
This is the required equation for centripetal force.
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A block (mass = 2.9 kg) is hanging from a massless cord that is wrapped around a pulley (moment of inertia = 1.4 x 10-3 kg·m2), as the figure shows. Initially the pulley is prevented from rotating and the block is stationary. Then, the pulley is allowed to rotate as the block falls. The cord does not slip relative to the pulley as the block falls. Assume that the radius of the cord around the pulley remains constant at a value of 0.043 m during the block's descent. Find (a) the angular acceleration of the pulley and (b) the tension in the cord.
(a) The angular acceleration of the pulley is 0.977 rad/s^2. (b) The tension in the cord is 27 N.
When the block starts to fall, it experiences a gravitational force downward. The cord wrapped around the pulley also exerts a tension force upwards. According to Newton's second law, the net force acting on the block is equal to the product of its mass and acceleration, which in this case is equal to the weight of the block minus the tension in the cord. As the cord does not slip relative to the pulley, the same tension force is also acting on the pulley, causing it to rotate. Using the equations of rotational motion and the relation between linear and angular acceleration, the angular acceleration of the pulley can be calculated. Finally, the tension in the cord can be found using the equation that relates tension force to the acceleration of the block.
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what is the electric flux through the surface a1 that encloses all three objects? express your answer to two significant figures and include the appropriate units.
The electric flux through the surface A1 which envelopes the three objects is 1.6 x 10⁵ Nm²/C.
According to Gauss's law, the electric flux through a closed surface is given by:
Φ = q/ε₀
q is the charge on a closed surface
ε₀ is the electrical permit of free space and has a value of 8.854 × 10⁻¹² square coulombs per newton per square meter.
q₁ =+4.0 µC
q₂ = –2.5 µC
q₃ = 0
Compared to,
Φ = q/ε0
Φ = (q₁ + q₂ + q₃)/ε₀
Φ = (4 -2.5 + 0) x 10⁻⁶/8.854 × 10⁻¹²
Φ = 1.6 x 10⁵ Nm²/C
Your question is incomplete but most probably your full question was:
Two objects, O1 and O2, have charges of +4.0 µC and –2.5 µC, respectively, and a third object 0, is electrically neutral. What is the electric flux through surface A1 that encloses all three objects?
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(a) calculate the self-inductance of a 54.0 cm long, 10.0 cm diameter solenoid having 1000 loops. mh (b) how fast can it be turned off if the induced emf cannot exceed 3.00 v and a current of 22.0 a flows through this inductor? s
Self-inductance is 23.4 mH 0.145 seconds it is turned off it be turned off if the induced EMF cannot exceed 3.00 v and a current of 22.0 a flows through this inductor.
What is Self-inductance?As the current in the coil changes, the magnetic flux associated with the coil also changes, thus inducing an electromotive force in the coil. This phenomenon is referred to as self-induction. Self-induction of a coil is a property due to its tendency to maintain a magnetic flux associated with it and to counteract changes in magnetic flux by inducing current. This property of coils is similar to mechanical inertia. That is why self-induction is called electric inertia. The self-inductance of a coil is numerically equal to the amount of magnetic flux associated with the coil when a unit current flows through it. The SI unit for self-inductance is the henry (H) or weber per ampere. 1H = 1Wb/A.to learn more about Self-inductance from the given link :
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1. During a soccer match, a player tries to kick a goal. The ball hits the left- hand goal post instead of going into the net. This happens three times during the match the same player kicks the ball into the left-hand goal post. a) State whether this soccer player is an accurate player, a precise player or neither of the two. Explain your previous answer. b) 2. The following diagrams show two measurements taken by Vernier callipers. The one is the outside diameter of a hollow copper pipe. The other is the inside diameter of the same pipe. مسلسل سلس البلاست Outside measurement he Inside measurement (2
Answer: A goal kick is a “direct” kick in soccer, which means any player can score a goal directly from that kick. Although it is rare to see a player score directly from a goal kick, occasionally, it does happen.
Explanation:
I need to convert 234 terameters to nanometers using Dimensional Analysis. I know the answer is 2.34 x \(10^{23}\). How do I get there?
Explanation:
First, convert terameters to meters.
234 Tm × (10¹² m / Tm) = 234×10¹² m
Now convert meters to nanometers.
234×10¹² m × (10⁹ nm / m) = 234×10²¹ nm
In scientific notation, that's 2.34×10²³ nm.
When resonance occurs, there is a dramatic decrease in the
amplitude of a sound wave?
True
O False
The given statement that when resonance occurs, there is a dramatic decrease in the amplitude of a sound wave is false.
How does resonance affect the amplitude of a sound wave?Resonance happens when a sound wave's frequency coincides with an object's inherent frequency, increasing the sound wave's amplitude.
Standing waves may develop in the tube as a result of resonance, which amplifies the vibrations' amplitude. The resonant frequencies depend on how long the air column is. The resonating air column amplifies solely the natural frequencies, as opposed to the mouth or reed which produce a combination of diverse frequencies.
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The momentum of an object is the product of it's A. force and distance B. mass and acceleration C. force and displacement D. mass and velocity
Momenum may be expressed as A. joules B. watts C. kg*m/s D. N*m
A 5 newton ball and a 10 newton ball are released simultaneously from a point 50 meters above the surface of the earth. neglecting air resistance, which statement is true? A. The 5 Nball will have a greater acceleration than the 10 N ball B. The 10 N ball will have a greater acceleration than the 5 N ball C. At the end of 3 seconds of free fall the 10 N ball will have a greater momentum than the 5 N ball. D. At the end of 3 seconds of free fall the 5 N ball will have a greater momentum than the 10 N ball.
A 30 kg and 60 kg bags of flour are dropped from rest out of a 3 story window. After both have fallen for 2 seconds which of the following statements are true A. The bags will have the same speed and same momentum B. The bags will have the same speed and different momentums C. The bags will have different speeds and same momentum D. The bags will have different speeds and different momentum
If the speed of moving object is doubled, What other quanity is also doubled? A. momentum B. kinetic energy C. acceleration D. gravitational potential energy
A car moving with a mass of 1500 kg travels at a speed of 35 m/s for total time of 60 seconds. What is the momentum of this car? A. 52,500 B. 3,150,000 C. 875 D. 42.9
A 25 kilogram mass is traveling west at 40 meters/second. The momentum of this mass is? A. 1000 kg*m/s east B. 1000 kg*m/s west C. 1.6 kg*m/s east D. .625 kg*m/s west
The momentum of an object is the product of its mass and velocity.
The momentum of an object may be expressed as kg * m/s.
Neglecting air resistance, the 5 N ball and the 10 N ball will have the same acceleration while they are free falling.
At the end of 3 seconds of free fall, the 10 N ball will have a greater momentum than the 5 N ball.
After both 30 kg and 60 kg bags of flour have fallen for 2 seconds, the bags will have different speeds and different momentums.
Kinetic energy is doubled when the speed of a moving object is doubled.
momentum of a car moving with a mass of 1500 kg at a speed of 35 m/s for a total time of 60 seconds is 52,500.
The momentum of a 25-kilogram mass traveling west at 40 meters/second is 1,000 kg*m/s west.
Momentum is an important concept in physics.
It is the product of mass and velocity, i.e., p=mv. Its unit is kg * m/s.
In other words, the momentum of an object is directly proportional to the mass and velocity of that object.
if either of these variables changes, the momentum of the object will change.
When the speed of a moving object is doubled, kinetic energy is also doubled.
Hence, option B is correct. When a 5 N ball and a 10 N ball are released simultaneously from a point 50 meters above the surface of the earth and neglecting air resistance,
the 5 N ball and the 10 N ball will have the same acceleration while they are free falling.
At the end of 3 seconds of free fall, the 10 N ball will have a greater momentum than the 5 N ball.
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Is dependant variable what you measure?? yes or no
Answer:
YES
Explanation:
The dependent variable is the variable that is being measured or tested in an experiment. For example, in a study looking at how tutoring impacts test scores, the dependent variable would be the participants' test scores, since that is what is being measured
Answer:
You do measure a dependent variable
in the diagram, the 4 small circles represent the position of the moon orbiting around the earth. when do the spring tides occur?
In the diagram with 4 small circles representing the positions of the Moon orbiting around the Earth, spring tides occur when the Moon is in a straight line with the Earth and the Sun. This happens during the full moon and new moon phases, when two of the circles are aligned with the Earth-Sun line.
The spring tides occur when the moon is either in the new moon or full moon phase and is in alignment with the sun and the earth. This causes a stronger gravitational pull on the oceans, resulting in higher high tides and lower low tides. The 4 small circles in the diagram likely represent the positions of the moon during different phases of its orbit around the earth.
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Which statements best describe magnetic fields? Check all that apply.
O A magnetic field is a region where a magnetic force is exerted on certain objects.
O A magnetic field behaves like a force vector.
O Magnetic field lines are strongest around the middle of the magnet.
O Magnetic field lines form closed loops that spread out of the north end of a magnet.
O Magnetic field lines form closed loops that spread out of the south end of a magnet.
O.A magnetic field is a region where a magnetic force is exerted on certain objects.
O. A magnetic field behaves like a force vector.
O.Magnetic field lines form closed loops that spread out of the north end of a magnet.
Explanation:
1,2, and 4
Answer:
a,b,d
Explanation:
i took the test
If the strings have different thicknesses, which of the following parameters, if any, will be different in the two strings?
Choices: wave frequency, wave speed, wavelength, none of these.
When two strings that have different thicknesses are compared, it will affect only one parameter, and that is wavelength. The rest of the parameters, including wave frequency, wave speed, and tension, will be constant for both strings.The explanation behind this is quite simple.
When we talk about wave frequency, we refer to the number of complete waves that pass by a given point in a certain period of time. When strings vibrate, the number of waves produced is determined by the vibrating source. The wave frequency is independent of the string's physical properties.
Wave speed refers to the speed at which the wave travels through the medium. The wave speed depends only on the medium, in this case, the string. Since both strings are made of the same material, wave speed will remain the same.Tension, on the other hand, is related to the force that is applied to the string to make it vibrate. The amount of tension in the string, however, is not dependent on the string's thickness.
Wavelength is the distance between two consecutive crests or troughs of a wave. The wavelength depends on the wave speed and the frequency. Since wave speed and wave frequency are constant for both strings, only the wavelength will be different if the strings have different thicknesses.
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A person exerts a horizontal force of 42 N on the end of a door 96 cm wide. What is the magnitude of the torque if the force is exerted (a) perpendicular to the door and (b) at a 60 degree angle to the face of the door?
a. The magnitude of the torque if the force is exerted perpendicular to the door is 40.32 Nm.
b. The magnitude of the torque if the force is exerted at a 60 degree angle to the face of the door is 34.85 Nm.
To calculate the magnitude of the torque, we will use the following formula: torque = force x distance x sin(angle). In your case, the force is 42 N and the distance is 0.96 m (since we need to convert cm to meters).
(a) For a force exerted perpendicular to the door (90 degrees), the torque can be calculated as follows:
torque = 42 N x 0.96 m x sin(90°)
= 42 N x 0.96 m x 1
= 40.32 Nm
(b) For a force exerted at a 60-degree angle to the face of the door, the torque can be calculated as follows:
torque = 42 N x 0.96 m x sin(60°)
= 42 N x 0.96 m x 0.87
≈ 34.85 Nm
So, the magnitudes of the torques are (a) 40.32 Nm when the force is exerted perpendicular to the door and (b) 34.85 Nm when the force is exerted at a 60-degree angle to the face of the door.
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A football is kicked from ground level with an initial velocity of 23.6 m/s at angle of 57.5° above the horizontal. How long, in seconds, is the football in the air before it hits the ground? Ignore air resistance.
Answer:
6 seconds is the best answer
It will take 6 seconds to the football in the air.
What is Initial velocity?Velocity is the rate that the position of an item changes relative to time. When forces are applied to an item, it accelerates. This acceleration affects the velocity.
The object's initial velocity, vi, is its speed before acceleration changes it. The new velocity, which has increased for a while, is the final velocity, or vf.
Initial Velocity, denoted as u, is the velocity at time period t = 0. It is the speed at which motion first occurs. There are four equations for starting velocity: The starting velocity is expressed as u = v - at if time, acceleration, and final velocity are given.
Therefore, It will take 6 seconds to the football in the air.
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Which of the following describes the correct order of energy conversions necessary to form electricity from solar panels?
Solar Heat Kinetic → Electric
Solar- Kinetic Heat → Electric
Solar 1 Heat → Electric
O Solar ->Electric
Answer:
hydrochlorine +12÷B to the power of 4 -× y reapeated zminus 2 to the power of 9
47) The moment of inertia of a 0.98-kg bicycle wheel rotating about its center is 0.13 kg · m2. What is the radius of this wheel, assuming the weight of the spokes can be ignored?
Answer:
0.36 m
Explanation:
The moment of inertial of a wheel can be calculated as
\(I=mr^2\)Where r is the radius of the wheel and m is its mass.
Solving the equation for r, we get
\(r=\sqrt[]{\frac{I}{m}}\)So, replacing I by 0.13 kg m2 and m by 0.98 kg, we get
\(r=\sqrt[]{\frac{0.13\operatorname{kg}\cdot m^2}{0.98\operatorname{kg}}}=0.36\text{ m}\)Therefore, the radius of the wheel is 0.36 m
Calculate the average speed of blood flow in the major arteries of the body, which have a total cross-sectional area of about 2.2 cm2 . Express your answer to two significant figures and include the appropriate units.
The average speed of blood flow in major arteries is approximately 25 cm/s.
The total cross-sectional area of major arteries in the body is approximately 2.2 cm2.
Using the equation Q = Av, where Q is the volume of blood flow, A is the cross-sectional area, and v is the velocity, we can calculate the average speed of blood flow.
Assuming a cardiac output of 5 L/min, we can calculate the volume of blood flow to be 83.3 ml/s.
Dividing this by the cross-sectional area of 2.2 cm2 gives us a velocity of approximately 38 cm/s.
However, this is the velocity at the center of the artery, and the velocity at the walls is slower due to friction.
The average speed of blood flow in major arteries is therefore estimated to be around 25 cm/s, with appropriate units being cm/s.
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state the reason why wick lamps are made of cotton
Answer:
Reason:- We use cotton to make the wick of a spirit lamp because cotton has thread strands which act like fine capillaries and help in drawing up a steady supply of oil in the lamp for burning by capillary action
Explanation:
a 2 kg particle is moving to the left at 30 m/s. How much net work must be done on the particle to cause
explain about 3 pulley sytem and 4 pulley system and both of their uses.
Answer:
Fixed pulleys are a very common pulley. These pulleys are secured to a single spot. ...
Movable Pulleys are yet another type of pulley. ...
Compound Pulley Systems are a combination of both movable and fixed pulleys.
Explanation:
there are three different types of pulleys:
Fixed pulleys are a very common pulley. These pulleys are secured to a single spot. ...
Movable Pulleys are yet another type of pulley. ...
Compound Pulley Systems are a combination of both movable and fixed pulleys.
25 n object requires a 5. 0 n to start moving over a horizontal surface. What is the coefficient of static friction?.
Answer:
μ=1/5=0.2
Explanation:
using the formula
Fs=Fn*μ
Where
Fs is the static force
Fn = Normal force
μ= coefficient
so if Fn=25n
and it requires 5 n to start moving, means the max Fs is 5n
5=25μ
μ=5/25
μ=1/5=0.2
!! HELP PLEASE !! As seen from above, a 73.9 kg water skier is pulled by a 105 N force at a 22.5° angle, while the water creates a 74.8 N force pulling directly backward. What is the x-component of the total force on the skier?
Answer: The x-component of the total force 97N
Explanation:
Given the following :
Mass (M) of skier = 73.9 kg
Pull force on the skier = 105N
Angle of pull = 22.5°
The direct backward force directly pulling the skier = 74.8N
the x-component of the total force on the skier
The horizontal component of the force = Magnitude of the pulling force × cosine of the angle of pull (FCosΘ)
FCosΘ = 105cos22.5°
105cos22.5 = 105 × 0.9238795
= 97.007350
= 97N
The backward force acting directly backward = 74.8N
Therefore, net x - component of the total force equals ;
97N - 74.8N = 22.2N
discuss sexual dimorphism in a human skeleton
Answer:
Sexual Dimorphism of the Human Skeleton. The human skeleton is not as sexually dimorphic as that of many other primate species, although human female skeletons tend to be smaller and less robust than human male skeletons within a given population. There are also subtle differences between males and females in the morphology of the skull, teeth, longs bones, and pelvis.
Explanation:
How do you read a resistor color code?
Reading a resistor color code is a quick and easy way to determine the resistance value of a resistor. Resistor color codes are a series of colored bands that are painted on the body of the resistor. These bands represent the resistance value, tolerance, and temperature coefficient of the resistor.
The first and second bands represent the first two digits of the resistance value. The third band represents the number of zeroes to add to the end of the first two digits. For example, if the first band is red and the second band is brown, the resistance value is "22". If the third band is orange, the resistance value is "220", or 220 ohms.
The fourth band is the tolerance band, which represents the percentage of tolerance of the resistance value. Common tolerance values include gold (5%), silver (10%), and brown (1%). If there is no tolerance band, the tolerance is assumed to be 20%.
The fifth band, if present, represents the temperature coefficient of the resistor. The temperature coefficient is a measure of how the resistance value changes with temperature. Common temperature coefficients include brown (±100 ppm/°C), red (±50 ppm/°C) and yellow (±25 ppm/°C) and blue (±10 ppm/°C).
It is important to note that the order of the band colors may vary depending on the manufacturer. However, the first, second, and third bands will always be the resistance value bands, the fourth band will always be the tolerance band, and the fifth band, if present, will always be the temperature coefficient band.
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A scientific model can be used to
Scientific models area unit accustomed make a case for and predict the behaviour of real objects or systems.
A system of ideas, events, or processes is described physically, mathematically, conceptually, or conceptually in an exceedingly scientific model. By victimisation their scientific experience to produce explanations that create it doable to forecast the patterns, scientists work to recognise and comprehend the patterns that exist in the environment.
Scientific model illustrations include:
a simulation of the sun, moon, and earth's motions (which you participated in last year) a way for statement eclipses. The weather will be foretold victimisation models that describe weather events.
Models will assist you in mentally imagining one thing that's difficult to ascertain or comprehend. Models will aid in scientific prediction, understanding of processes, and communication of ideas.
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How do you find Net Force with Two Forces?
To find the net force with two forces, you need to add the two forces together if they are in the same direction, or subtract them if they are in opposite directions.
How to find the Net Force?Identify the two forces that are acting on an object. For example, let's say you have a force of 5 N to the right and a force of 3 N to the left.Determine the direction of each force. In our example, one force is to the right and the other is to the left.If the forces are in the same direction, add them together to find the net force. If they are in opposite directions, subtract the smaller force from the larger force to find the net force. In our example, the forces are in opposite directions, so we subtract 3 N from 5 N to get a net force of 2 N to the right.Write your answer, including the direction of the net force. In our example, the net force is 2 N to the right.So, the net force with two forces is found by adding the forces together if they are in the same direction, or subtracting them if they are in opposite directions.
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A steel bar with square cross sections 5 cm by 5 cm and length 2 meters is being heated. For each dimension, the bar expands 13×10−6 meters for each 1∘ rise in temperature. 1 What is the rate of change in the volume of the steel bar? NOTE: Round your answer to two decimal places. Do not include the 10−6 factor in your answer. dTdV=×10−6 m3/∘C⋅X
The rate of change in the volume of the steel bar is approximately 2.00 m³/°C.
The change in volume of the steel bar can be calculated as;
ΔV = V₀βΔT
where V₀ will be the initial volume of the bar, β will be the coefficient of volume expansion, and ΔT is the change in temperature.
Since the bar has a square cross section of 5 cm by 5 cm, its initial volume is;
V₀ = (5 cm)² × 200 cm ≈ 50000 cm² = 0.05 m³
The coefficient of volume expansion for steel is typically around 3 times the coefficient of linear expansion, which is given as 13 × 10⁻⁶ m/m/°C. So, the coefficient of volume expansion for steel is β = 3(13 × 10⁻⁶ m/m/°C) = 39 × 10⁻⁶ m³/m³/°C.
Therefore, the rate of change in the volume of the steel bar is;
dV/dT = βV₀ = (39 × 10⁻⁶ m³/m³/°C)(0.05 m³) ≈ 0.002 m³/°C
Rounding this to two decimal places and excluding the 10⁻⁶ factor, we get;
dV/dT ≈ 2.00
So the rate of change in the volume of the steel bar is approximately 2.00 m³/°C.
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how does Newton's third law describe the force affecting a rocket as it descends to
Answer:
Explanation:
Newton's Third Law states that "every action has an equal and opposite reaction". In a rocket, burning fuel creates a push on the front of the rocket pushing it forward. This creates an equal and opposite push on the exhaust gas backwards.
A friend advised the owner of the bowl to keep it out of direct sunlight to avoid blinding the fish, which might swim into the focal point of the parallel rays from the sun. Is the focal point actually within the bowl
The focal point of parallel rays from the sun is actually outside the bowl.
When parallel rays pass through a convex lens like a fishbowl, they converge at a point called the focal point.
In this case, the friend advised the owner to keep the bowl out of direct sunlight to avoid blinding the fish because the focused rays of sunlight could potentially harm the fish's eyes.
However, it's important to note that the focal point is not within the bowl itself. So, while the fish might be at risk if exposed to direct sunlight, the actual focal point where the rays converge is outside the bowl.
In conclusion, the focal point of parallel rays from the sun is outside the fishbowl, not within it. This means that the fish's eyes are not at risk from the focused rays of sunlight inside the bowl.
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The period of the second hand on a clock is
a. 1 second
b. 60 seconds
c. 120 seconds
d. 1 hour
Answer: B
Explanation:
We know that 1 minute has 60 seconds. It can't be d because the second hand is counting minutes. Can't be c or a because that is 2 mins. So it is B