The distance fallen is proportional to the square of the falling time.
A graph of velocity vs. time is linear.
What is acceleration?In mechanics, acceleration is the rate at which an object's velocity with respect to time changes. Vector quantities include accelerations. The direction of the net force imposed on an object determines its acceleration in relation to that force. acceleration is the rate of change in both speed and direction of velocity over time.When anything moves faster or slower in a straight line, it is said to have been accelerated. Because the direction is always shifting, motion on a circle accelerates even while the speed is constant.The equation a = v/t denotes acceleration (a), which is the change in velocity (v) over the change in time (t).The distance fallen is proportional to the square of the falling time.
A graph of velocity vs. time is linear.
The complete question is,
A student conducts an investigation into the motion of a car that accelerates from rest on a straight, level roadway. A driver operating the car causes the car to speed up from rest at time t = 0 and the student makes measurements of the distance traveled and the speed of the car every second. What experimental evidence would support the conclusion that the car's acceleration is uniform? Select two answers.
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There are no results for Particles q1 = -66.3 UC, q2 = +108 uC, and 93 = -43.2 uC are in a line. Particles q1 and q2 are separated by 0.550 m and particles q2 and q3 are separated by 0.550 m. What is the net force on particle q2? Remember: Negative forces (-F) will point Left Positive forces (+F) will point Right + 108 MC 92 -43.2 MC 93 0.550 m -66.3 MC 91 0.550 m
The total of all forces acting on an object is known as the net force. A mass can accelerate due to net force.
How to calculate net force ?The total of all forces acting on an object is known as the net force. A mass can accelerate due to net force. Whether a body is at rest or in motion, it is subject to another force. When there are a lot of forces acting on a system, the term "net force" is used.
here r12 = 0.550m r23= = 0.550m Then the distance from the first charge to the third one will be:
r13 =r12+r23=0.550+0.550 = 1.1m
According to the Coulomb's law, the net force on particle q2 will be equal to the sum of the forces on particle q2 from the particle q1 and q3.
F3+=F13+F23=q1q2/r²13 + k q3q2/r²23
Where k = 9×[tex]10^{9}[/tex] N m²/C²
Substituting numerical values, obtain:
F3= 9×[tex]10^{9}[/tex](-66.3 × [tex]10^{-6}[/tex])(-43.2×9×[tex]10^{-6}[/tex])/1.45²+9 ×[tex]10^{9}[/tex] 108×[tex]10^{-6}[/tex](-43.2 ×[tex]10^{-6}[/tex])/0.550²
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consider the following circuit. after leaving the switch at the position a for a long time, move the switch from a to b. there will be current oscillations.
After leaving the provided switch at the given position for a longer time, then its moves given switch from a to b. At t = 0, the left part of the plate C has charge q=max and therefore, the current flowing through it is zero.
What are Oscillation ?
Oscillation is the repetitive or periodic variation, usually in time, of a few degree approximately a crucial value (regularly a factor of equilibrium) or among or extra one-of-a-kind states. Familiar examples for all oscillation encompass a swinging type of pendulum with alternating current. A wave is stated to oscillate, which means to transport to and fro in a regular, repeating way.
This fluctuation may be among extremes for all position, like force, or quantity. Different sorts of waves have one-of-a-kind sorts of oscillations. Longitudinal type of waves: here Oscillation is parallel route of the wave.
The maximum charge stored in the capacitor is,
Q== CE
i=0
At t=t/4 the left part of the plate C has charge q = 0 and therefore, the current flowing through it is clockwise.
i= clockwise
At t=t/2, the left part of the plate C has charge q=-9max and therefore, the current flowing through it is zero.
i=0
At t=3t/4, the left part of the plate C has charge q=0 and therefore, the current flowing through it is counter clockwise.
i=counter clockwise.
At t = 0, the left part of the plate C has charge q=max and therefore, the current flowing through it is zero.
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your friend throws a rock off of a cliff straight down with an initial speed of 7.50 m/s. Using a stopwatch, you determine it takes the rock 4s to hit the ground below. How high is the cliff?
Your friend throws a rock from the cliff straight down with a speed of 7.50 m/s which takes 4 seconds to hit the ground, then the height of the cliff is 15 meters.
What is an Acceleration?The amount at which velocity, in terms of both speed and direction, varies over time is known as acceleration. If a feature or object moves faster or slower along a straight line, it is said to be moving faster. Motion on a circle accelerates even while the speed remains the same because the vector is always shifting. All those other forms of motion experience acceleration as a consequence of these processes.
Firstly, we have to find the acceleration of the rock,
Use the equation of motion to find the acceleration,
v = u + at
0 = 7.50 + (a) 4
a = -1.875 m/s².
Now, find the distance,
v² - u² = 2as
0 - 7.50² = 2 (-1.875) s
s = (-56.25) / (-3.75)
s = 15 meters.
Therefore, the height of the cliff is 15 meters.
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from what height above the surface of the earth should an object be dropped to initially experience an acceleration of 0.54g? (g
For an object to experience an acceleration of 0.54g,an object should be dropped from 2.29941×10⁶m above the surface of earth.
We know very well that acceleration due to gravity is given by the following formula
g=GM / r²
where g is acceleration due to gravity,
G is gravitational constant
M is the mass of the body
and r is the radius of the earth
Now, for body above the surface of earth, value of g is given by
g=GM / (r+h)² where h is the height above the surface of earth
Now, we have 0.54g=GM / (r+h)²
Putting value of G=6.67×10⁻¹¹,M=5.97×10²⁴,r=6.38×10⁶,we get
=>0.54 ˣ 9.8 = [(6.67×10⁻¹¹) ˣ 5.97×10²⁴] /(6.38×10⁶ + h)²
=>(6.38×10⁶ + h)² = [(6.67×10⁻¹¹) ˣ 5.97×10²⁴] / 0.54 ˣ 9.8
=>(6.38×10⁶ + h)² = ((39.82) ˣ 10¹³) / 5.292
=>(6.38×10⁶ + h)² = 0.7524 ˣ 10¹²
=>6.38×10⁶ + h=√( 0.7524 ˣ 10¹²)
=>h=0.867×10⁷-6.38×10⁶
=>h=2.29941×10⁶m
Hence, an object should be dropped from 2.29941×10⁶m above the surface of earth.
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the wing of an airplane has an average cross-sectional area of 11 m2 and experiences a lift force of 74,000 n. what is the average difference in the air pressure between the top and bottom of the wing?
The average difference in the air pressure between the top and bottom of the wing is 6545.45 Pa.
Pressure = Force / area
force = 72000 N
Area = 11m2
Difference = Force difference / area
=72000/11 N/m 2
= 6545.45 Pa
Pressure:
The force applied physically to an object is referred as the pressure. Per unit area, the force is applied perpendicularly to the surfaces of the objects. The fundamental pressure formula is F/A. (Force per unit area). The Pascal unit of pressure (Pa). The four different types of pressure are gauge, absolute, atmospheric, and differential.
Complete question:
The wing of an airplane has an average cross-sectional area of 11 m2 and experiences a lift force of 72,000 N. What is the average difference in the air pressure between the top and bottom of the wing?
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if you are in a plane flying from miami to toronto, which direction would your plane be deflected?
It would be deflected to the left.
Which way would wind travel in the region between 30 and 60 degrees latitude?
Between 30 and 60 degrees latitude, where middle latitude storms are located, winds blow from the west. These storms go eastward from westward. On the other hand, hurricanes are only found in the tropics, namely between the equator and 30 degrees latitude. Hurricanes are moved by the trade winds from east to west.
It would be deflected to the left. [The direction of travel does not matter in the deflection, all directions of travel are deflected to the right in the northern hemisphere and to the left in the southern hemisphere.]
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why do waves decrease at fixed points
This is due to the fact that for waves to be conserved when they move from one area to another, the absolute wave duration must remain constant.
When a wave reaches a fixed point, what happens?For instance, a wave comes back upside down when it hits a fixed end. A wave returns in the same direction it came when it hits a free end.
Why does a wave collapse or break?According to research, waves break when their amplitude reaches a critical point at which a significant portion of their wave energy is converted into turbulent kinetic energy, much like a ball rolling down a hill. The right end is fastened and tightly secured. The wave returns as a downward-displaced pulse after reflecting off this fixed end. Inversion happens when a reflection hits a fixed end.
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. julia is taking a 200-mile trip by car. if she drives for two hours with an average speed of 60 miles per hour, how many miles will she still need to drive to complete her t
Julia will cover 80 miles in order to complete her trip.
What is speed ?Speed is the rate at which a distance changes over a period of time.
It has a dimension of time-distance.
As a result, the meter per second (m/s) is the SI unit of speed.
According to the given information
Given that,
Total distance of trip = 200 miles
Julia travels at a 60 miles per hour average.
Since, Julia drives for 2 hours,
Then distance travelled by Julia in 2 hours at the speed of 60 miles per hour = 60 × 2 = 120 miles
Total distance = 200 miles
Distance left = 200 - 120 = 80 miles
Julia will cover 80 miles in order to complete her trip.
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a box is dropped onto a conveyor belt moving at 1.9 m/s. the acceleration of gravity is 9.8 m/s 2 . if the coefficient of friction between the box and the belt is 0.6, what distance does the box move before it moves without slipping? answer in units of m
distance does the box move before it moves without slipping is 0.3580m.
Calculation :
F=μmg
a=F/m =μg
From v² =u²+2as
0=2²−2(μg)s
s=4/(1.9×0.6×9.8)
=0.3580m
What is distance? Distance is the overall movement of an object, regardless of direction. Distance can be defined as the amount of ground an object has moved, regardless of its start or end point.
Hamming distance calculates the distance between two binary vectors, also known as binary strings or bitstrings for short.
Euclidean Distance calculates the distance between two real-valued vectors.
Minkowski Distance calculates the distance between two real-valued vectors.
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proctorio disabled clipboard
By turning off the system's ability to copy and paste data, Proctorio disables the clipboard on your computer. test takers are prohibited from copying and pasting content into or out of the exam window while it is open.
A computer is a digital electrical device that may be configured to perform a series of mathematical or logical operations (computation) automatically. Computers today are capable of running programs, which are generalized sets of operations. Many different jobs can be carried out by computers thanks to these programs. The hardware, operating system (primary software), and any additional peripheral devices required for a computer to function properly are together referred to as a computer system. The phrase "computer network" or "computer cluster" may also be used to describe a collection of connected computers that work as a unit.
Computer control systems are used in a wide variety of industrial and consumer goods. Microwaves and remote controls are examples of basic special-purpose gadgets.
Correct question:
What does it mean when it says Proctorio disabled clipboard?
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amy goes for her morning walk. she walks 100 m east in 2 minutes. she then walks 200 m north in 4 minutes. which is true about the velocity with which she walks? a the velocity with which amy walks changes because the direction in which she walks varies. b the velocity with which amy walks is constant because the speed at which she walks is constant. c the velocity with which amy walks changes because the speed at which she walks varies. d the velocity with which amy walks is constant because the direction in which she walks is constant.
The velocity with which Amy walks is constant because the speed at which she walks is constant.
Speed is the rate at which an object moves.
Distance is the total movement of an object without any regard to direction.
The formula for speed - distance - time is mathematically given as:
Speed = Distance/Time
Here she first walks 100 m east in 2 minutes. i.e. Speed = 50 m/minThen she walks 200 m north in 4 minutes. i.e. Speed = 50 m/minIn both the cases, speed remains constant.
So the velocity with which Amy walks is constant because the speed at which she walks is constant.
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For the left figure below, replace the distributed loads by an equivalent resultant force and a couple moment acting at point A. (See the right figure below.) Let a = 3.85m , w1 = 5.70kN/m , and w2 = 4.10kN/m.
Calculate the resultant force, FR, and the couple moment, MR,A. Don't forget to include the appropriate signs with your numerical answers.
Express your answers numerically in kilonewtons and kilonewton-meters to three significant figures separated by a comma.
substitute an equivalent resultant force and a couple of moment acting at point A. Allow w1 to be 5.70 kN/m, w2 to be 4.10 kN/m, and a to be 3.85 m. the pair moment is 77.08 kN m, and the resulting force is FR=4.8125 kN.
The force delivered by the distributed loads is given as,
F₁=[tex]\frac{1}{2}[/tex] w₁a
=[tex]\frac{1}{2}[/tex](5.70kN/m)(3.85m)
=10.9725 kN
F₂=w₂a
=(4.10 kN/m)(3.85m)
=15.785 kN
The resultant force is given as,
[tex]F_{R}[/tex]= -F₁+F₂
= -10.9725 kN+15.785 kN
=4.8125kN
The resultant moment exerted on the beam is calculated as,
M=-F₁(a/3)+F₂(a+(a/2))
M=-(10.9725 kN)(3.85m/3)+15.785 kN(3.85+(3.85/2))
= -14.081 kN m+91.158 kN m
=77.08 kN m
In mechanics, a force is any action that seeks to preserve, modify, or deform a body's motion. Isaac Newton's three laws of motion, which are outlined in his Principia Mathematica, are frequently used to illustrate the concept of force (1687). Newton's first law states that a body at rest or traveling at a constant speed in a straight line will stay in that state unless a force is applied to it. According to the second law, when an external force acts on a body, the body accelerates (changes velocity) in the force's direction.
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ocean currents are caused primarily by the gravitational attraction between the earth, moon, and sun. true or false
The statement that ocean tides are caused primarily by the gravitational attraction between the earth, moon, and sun is a true statement.
Tides can be defined as the rise and fall of water level in water bodies such as lakes and oceans due to the gravitational force of attraction exerted by the moon on earth. The side closest to the moon creates a bulge of water known as high tide. Low tides are generally experienced when a sea level is not within the bulge.
Generally, the gravitational pull of the Moon cause visible changes on planet Earth's surface.
This ultimately implies that, the pull of the Moon's gravity causes high and low tides on planet Earth's surface.
Therefore, The statement that ocean tides are caused primarily by the gravitational attraction between the earth, moon, and sun is a true statement.
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when the balloon hits the ground, it rebounds slightly. what is the source of the energy for this rebound?
When the balloon hits the ground, the rubber envelope stretches, storing elastic potential energy; this elastic potential energy is transfigured to the gravitational potential. It is a correct answer.
What is potential energy?
Stored energy that depends upon the relative stand of different parts of a system is called potential energy. A spring has more potential energy when it is stretched.
What is gravitational potential?
A position is equal to the work per unit mass that would be needed to move an item to that position from a fixed reference position is called gravitational potential.
When the balloon hits the ground, the rubber envelope stretches, storing elastic potential energy; this elastic potential energy is transfigured to the gravitational potential. It is a correct answer.
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a heavily loaded boat is floating in a pond. the boat sinks because of a leak. what happens to the surface level of the pond? a. it stays the same. b. it goes up. c. it goes down. d. more information is needed to reach a conclusion.
It stays the same.(Option a)
Some water is moved from pond to boat and and same amount of water level now raise to balance the weight of the water in the boat so overall level of water in pond remains same.
When you put an object in water, there are two main forces acting on it. Gravity gives the a downward force and buoyancy gives an upward force. Gravity is determined by the weight of object , and buoyancy is determined by the weight of water displaced by object when object is placed in water. If gravity is less than buoyancy, the object floats (boat), otherwise it sinks (rock). That is, if an object weighs less than the amount of water it displaces, it floats, otherwise it sinks.
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) a man with a mass of 110 kg stands halfway up a 4.0 m long ladder. the ladder has negligible weight and the base of the ladder is 1.5 m from the wall as shown. if the contact between the wall and the ladder is frictionless, what force does the wall exert on the ladder?
Wall pulls on the ladder with a 220 N force. A man who weighs 110 kg is standing halfway up a ladder that is 4.0 metres long. The ladder is incredibly light, and its base is 1.5 metres away from the wall.
A force in physics is an effect that has the power to alter an object's motion. A force can cause an object with mass to change its velocity, or accelerate (for example, moving from a condition of rest). Intuitively, a push or a pull can also be used to describe force. A body's mass is a fundamental characteristic.
Force*(1.5/2) equals N*sqrt[4-1.5/2].
110*9.81 * 0.75 = N * 3.708
N = 220 N
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what is the angular speed in rad/s of the second hand of a watch
The angular speed of the second hand of a watch is:
w = 0.105 rad/s
What is the angular speed of the second hand of the watch?
We know that the whole watch (a common circle) has a 2*pi rads on its circumference.
Now, there the second hand completes these 2*pi radians in one minute (60 seconds)
The angular speed is equal to the quotient between the angular motion (2pi radians) and the time in which that happens (60 seconds)
Remember that pi = 3.14
Then the angular speed is:
w = (2*3.14 rad)/(60 s) = 0.105 rad/s
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16.A single disturbance that moves from point to point through a medium is called a period b) periodic wave wavelength pulse 17.When the particles of a medium are vibrating at right angles t0 the direction of energy transport, then the wave is a wave. longitudinal sound standing transverse 18.What is the amplitude of the wave in the diagram on the right? a) 0.03 m b) 0.04 m 0.05 m 0.06 m 19.Sound wave is a type of Longitudinal wave Transverse wave 20.A 10 Hz wave has a 2.2 cm wavelength. The velocity of the wave is a) 4.5 cmls b) 7.8 cmls c) 12 cmls 22 cmls
Water can carry waves, glass can transmit light, and walls can carry sound. The medium is the substance that a wave travels through. A pulse is a single disturbance that moves through a medium.
What is a single disturbance that travels through a medium from point to point?
An isolated disturbance called a pulse travels through a medium from one point to the next.
A recurring disruption in a medium is what?
A wave is an energetic periodic disturbance that propagates outward from a source. Waves can be either mechanical or electromagnetic. Mechanical. Examples -- sound waves, water waves, etc. require a medium for transfer; vacuums cannot be used for transfer.
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we measure the magnitudes of the electric field and magnetic field at a given instant and at a given point in an electromagnetic wave. how are the magnitudes related to the speed of light
The Magnitude of electric and magnetic field is related by its ratio to speed of light .
In an EM wave, the electric field is a loop and oscillates with time, without charge it is strange. Normally, electric fields are lines from positive charge to negative charge. Due to the changing electric field, an associated magnetic field develops according to Maxwell's laws.A neutral nature never arises. The fields scatter when they encounter charged particles, which is called reflection or absorption of EM waves.In classical theory, in the absence of charged matter ,electromagnetic waves are vacuum solutions of Maxwell's equations; you can add the vacuum solution to any other solution and the result will still be a valid solution.In the presence of charged matter, if that matter is not rigid (that is, if it responds to electrostatic or magnetic forces), things change. If a magnetic field is introduced, it can rearrange the charged matter and this in turn would affect how electromagnetic waves propagate through that medium. For example, the presence of galactic magnetic fields affects interstellar dust, which in turn can polarize light, giving us a means to probe galactic magnetic fields by looking at the polarization of distant starlight.[tex]\frac{E}{M} =C[/tex]E=electric field , M=Magnetic field , C=speed of light
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Why do we use steam distillation to isolate eugenol rather than purify it by simple distillation?
Because it has a boiling point of about 250 degrees Celsius, eugenol is isolated using steam distillation rather than ordinary distillation.
By using selective boiling and condensation, typically inside of a device called a still, distillation, also known as classical distillation, is the process of removing the constituents or substances from a liquid mixture. Dry distillation is the process of heating solid materials to produce gaseous products (which may condense into liquids or solids); this process may involve chemical alterations like destructive distillation or cracking. In either case, the process takes advantage of variations in the relative volatility of the mixture's constituents. Distillation can produce an almost entirely complete separation (resulting in nearly pure components), or it can be a partial separation that boosts the concentration of particular components. Distillation is a fundamental unit activity in industrial settings, although it is a physical separation process rather than a chemical reaction.
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what is the magnitude of the current in the 18 ω resistor in the figure?
Anticlockwise is the direction (for conventional current) (right to left in resistor).
What is the 10 resistor's current?
Thus, there will be no current flowing through the 10 resistor.
How much of a voltage loss does the 18 ohm resistor experience?
In accordance with the question, Atlast, we must determine the voltage drop across resistor 18 (V = IR). V is equal to 2.5 x 18 x 45 volts.
How can current flow through a resistor be determined?
Ohm's law, I=V/R, can be used to determine the current flowing through each resistor while the voltage is constant across each resistor.
What is the current formula?
I=V/R
The electric current equation is I=V/R, and it can be used to determine electric current. This equation, which is based on Ohm's Law, is also referred to as the "current equation." The variables "I" and "V" stand for current, voltage, and resistance, respectively.
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A box is pushed across the floor for a distance of 9m with a force of 10N in 4s.
a. How much work is done?
b. b. What is the power?
The work done is equal to 90 Joules. The power is equal to 22.5 W.
What is power?The power can be described as the rate of performing work, it is the work done per unit of time. The S.I. unit of power is represented as joules per second (J/s) or Watt (W).
Power can be defined as a time-based quantity and the rate at which work is done upon a body. The mathematical formula for power can be represented as mentioned below.
Power = Work/time
P = W/t
Given, the applied force on the box, F = 10 N
The distance moved by box, d = 9 m
The work done, W = F.d = 10 × 9 = 90 J
The time taken to push the box across the floor, t = 4s
The power needed to push the box, P = W/t
P = 90 /4
P =22.5 W
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A pendulum is swinging in a circular path at angle θ and string length L. What is the tension in the string? Use m, g, and θ. Your answer should have m, g, θ, and a trig function. Answer will be T=.
What is the centripetal acceleration? Your answer will have g, θ, and 1 or 2 trig functions. Your answer will be [tex]a_{c}[/tex]=.
The centripetal acceleration is [tex]a{c}[/tex] = Mv² /Rsin θ
What is tension?Tension is described as the pulling force transmitted axially by the means of a string, a rope, chain, or similar object.
Tension balances the component of weight along the string and also provides the centripetal force necessary for circular motion.
T - mgcosθ =Mv² / L = T= mg cos θ+Mv² / L
Therefore the tension is = Mg cosθ + Mv² / L
The component of weight along the string is given as mgcosθ.
T sin θ = m v^2 / R tension in string directed towards center T cos θ = m g tension in string in vertical directiondividing both equations, we have
sin θ / cos θ = tan θ = v² / (R g)
θ = tan^-1 (v² / (R g)
From the the vertical direction,
T = m * g / cos θ
Since the tension depends on the mass
v² / R = T sin θ / m
The centripetal acceleration is [tex]a{c}[/tex] = Mv² /Rsin θ
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an 8.0-g bullet has a speed of 800 m/s. (a) what is its kinetic energy? (b) what is its kinetic energy if the speed is halved?
The kinetic energy is 2560J
If the speed if halved, then the kinetic energy is 640J
What is kinetic energy?Kinetic energy is the energy possessed by an object due to its motion.
Calculation:Using the equation for the kinetic energy, we write:
K=1/2mv2 K=1/2mv2
where:
m is the mass
v is the speed
(a) The kinetic energy of the bullet is:
K=1/2(0.008kg) (800m/s)²
K=2560 J
(B) When the speed is halved, the energy will be multiplied by a factor of 4, thus, we write:
K=2560×(0.25) J
K=640J
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Which of the following definitions best describes the concept of work?
(a) the flow of energy from one object or substance to another due to a difference in temperature.
(b) the flow of energy from one body to another through uniform molecular motion.
(c) the force associated with molecular motion.
(d) the random motion of molecules in a gas at low pressure.
(b) the flow of energy from one body to another through uniform molecular motion.
The flow of energy from one body to another through uniform molecular motion. Work is defined as the transfer of energy from one body to another due to a force acting upon the bodies. It is the energy associated with molecular motion, which can be uniform or non-uniform.
Molecular Motion:
The motion of atoms and molecules is described by the laws of motion developed by Isaac Newton. His three most important laws are Law of Inertia. An object at rest or in uniform motion maintains that state unless an external force acts on it.
The law of acceleration that the acceleration of a body is proportional to the force acting on it.
Law of action and reaction. It states that for every action there is an equal and opposite reaction.
Newton's laws of motion also apply to atoms and molecules. Because they are small bodies, they obey the same laws of motion as large bodies.
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creating and transmitting currents is central to the function of neuron physiology. t or f
Creating and transmitting currents is central to the function of neuron physiology. This is true statement.
What is neuron physiology?The neurons, which make up the nervous system's structural units, can be electrically excited. Numerous anatomically diverse types of nerve cells have developed to participate in numerous organismal processes.
The motor neurons in the spinal cord and brain receive signals from the spinal cord and brain that cause the muscles to start contracting, which affects the glands. A cell body and the neural processes, or axon and dendrites, make up the basic components of a neuron.
The voltage of neurons as they move from the soma, dendrites, and axon changes. In sensory neurons, external inputs open ion channels, causing action potentials to pass from the axon to the soma. The axons, which are the mechanism by which nerve cells communicate with one another neurons, are often used by neurons to transmit signals in the form of action potentials.
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ting from rest, a disk rotates about its central axis with constant angular acceleration. in 5.0 s, it rotates 25 rad. during that time, what are the magnitudes of (a) the angular acceleration and (b) the average angular velocity? (c) what is the instantaneous angular velocity of the disk at the end of the 5.0 s? (d) with the an- gular acceleration unchanged,
A change in speed leads to an acceleration. When an object is rotating and its velocity is changing, we say it is accelerating angularly. Angular acceleration is also called rotational acceleration. It quantitatively expresses the change in angular velocity per unit time. Angular acceleration is a pseudo scalar. The sign of angular acceleration is considered positive if the angular velocity increases counterclockwise and negative if the angular velocity increases clockwise. Angular acceleration is used to study the motion of rotating objects such as wheels, fans, and the earth.
For the given problem:
α = 2θ/t²
Where, α = angular acceleration
θ = angle of rotation (25 rad)
t = time (5 sec)
α = 2×25/5²
α = 50/25
α = 2 rad/s²
ω = Δθ/Δt
Where, ω = average angular velocity
θ = angle of rotation (25 rad)
t = time (5 sec)
ω = 25/5
ω = 5 rad/s
ωₓ = α × t
Where, ωₓ = instantaneous angular velocity
α = angular acceleration (2 rad/s²)
t = time (5 sec)
ωₓ = 2 × 5
ωₓ = 10 rad/s
θ = ω₀t + ¹/₂αt²
Where, θ = angle of rotation
ω₀ = initial angular velocity (0 rad/s)
t = time (10 sec)
α = angular acceleration (2 rad/s²)
Since, ω₀ = 0
θ = ¹/₂αt²
θ = ¹/₂ × 2 × 10²
θ = 100 rad
Δθ = 100 - 25
Δθ = 75 rad
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The complete question is as follows:
Starting from rest , a disk rotates about its central axis with constant angular acceleration. In 5.0 s, it rotates 25 rad. During that time, what are the magnitudes of (a) the angular acceleration and (b) the average angular velocity (c) What is the instantaneous angular velocity of the disk at the end of the 5.0 s (d) With the angular velocity of the disk at the end of the 5.0 s (d) With the angular acceleration unchanged through what additional angle will the disk turn during the next 5.0 s
a person of mass stands at center of a rotating merry-go-round with radius and inertia, the platfor rotates with no friction and angular velocity, what is the angular velocity when the person reaches the edge
The individual standing at the edge is moving at an angle of 0.42 rad/s. Since the distance from the center of the merry-go-round is zero, the person's moment of inertia is zero at its center.
What is the difference between velocity and speed?Velocity seems to be the velocity & directions of an item's passage, where speed is the forecasting at which an element is travelling along a route. To put it another way, velocity is a vector, whereas speed is a scalar value.
What is a good illustration of velocity?Simply said, velocity is the rate of movement in a certain direction. such as the speed of a car driving north on a highway or the pace at which a rocket takes off.
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Question 3(Multiple Choice Worth 5 points)
(01.04 LC)
Which of the following is true regarding stereotypes and their impact on child development?
Both positive and negative stereotypes can have an impact on children.
Children will always strive to live up to stereotypical expectations.
Children will feel like they are better than everyone else based on stereotypes.
Stereotypes usually have no long-lasting impact on children and their growth.
The following which is true regarding stereotypes and their impact on child development is that both positive and negative stereotypes can have an impact on children and is therefore denoted as option A.
What is Development?This is referred to as a specified state of advancement or growth and is influenced by different types of factors such as genetic, environment etc.
Stereotypes have an impact on children such that both positive and negative stereotypes can have an impact on children which is why care should be taken in this scenario and is the reason why it was chosen as the correct choice.
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nuclear decay occurs according to first-order kinetics. how long will it take for a sample of chromium-51 to decay from 35.0 grams to 10.0 grams? the half-life of chromium-51 is 28 days.
The time taken by chromium to nuclear decay from 35 grams to 10 grams is 27.648 minutes(0.0192 days).
We have given that half life of chromium is 28 days.
We know very well that half life is the time at which half of the given material is decayed and half part remains in original form.
Half time of decaying material is given by
[tex]t_h_a_l_f[/tex] = ln2/λ
where [tex]t_h_a_l_f[/tex] is the time required to decay half material
and λ is decay constant.
=>28=ln2/λ
=>λ=ln2/28
=>λ=0.693 / 28 days
=>λ=0.024 days.
Now, we know that decay of material is given by the equation
N=N₀/ [tex]e\frac{decay}{time}[/tex]
where decay is decay constant,
N is remaining amount of material
N₀ is the initial amount
t is time
Now, we have decay constant(λ)=0.024 days, N₀=35g,N=10g
=>10=35 / [tex]e\frac{0.024}{t}[/tex]
=> [tex]e\frac{0.024}{t}[/tex] = 3.5
Taking ln on both sides of equation
=>ln([tex]e\frac{0.024}{t}[/tex]) = ln(3.5)
=>0.024 / t =1.25
=>t=0.024/1.25
=>t = 0.0192days
=>t = 0.0192×24×60=27.648minutes.
Hence, time taken by chromium is 27.648minutes(0.0192 days)
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