At time [tex]t[/tex] seconds, the mass has angular speed
[tex]\omega = \left(3.31\dfrac{\rm rad}{\mathrm s^2}\right) t[/tex]
and hence linear speed
[tex]v = (1.4\,\mathrm m) \omega = (1.4\,\mathrm m) \left(3.31\dfrac{\rm rad}{\mathrm s^2}\right) t[/tex]
After 8 s, its linear speed is
[tex]v = (1.4\,\mathrm m) \left(3.31\dfrac{\rm rad}{\mathrm s^2}\right) (8\,\mathrm s) = 37.072 \dfrac{\rm m}{\rm s} \approx 37 \dfrac{\rm m}{\rm s}[/tex]
and has centripetal acceleration with magnitude
[tex]a = \dfrac{v^2}{1.4\,\rm m} \approx 981.667\dfrac{\rm m}{\mathrm s^2} \approx 980 \dfrac{\rm m}{\mathrm s^2}[/tex]
To maintain this linear speed, by Newton's second law the required centripetal force should have magnitude
[tex]F = (0.34\,\mathrm{kg}) a \approx 333.767\,\mathrm N \approx \boxed{330 \,\mathrm N}[/tex]
Wavelength and frequency are: ________.
a. directly proportional to each other
b. inversely proportional to each other
c. inversely proportional to the square of their distance
d. unrelated to each other
Answer: b. inversely proportional to each other
Explanation:
The wave with the greatest frequency has the shortest wavelength. Twice the frequency means one-half the wavelength.
A body accelerate uniformly from rest at 2m/s^2.calculate its velocity after traveling 9m.
Answer:
The final velocity of the body is 6 m/s.
Explanation:
To solve this question, we can use one of the kinematic equations. Let's go over what variables we know and what we are trying to find. We know the acceleration (a = 2m/s²), the displacement (Δx = 9m), and the initial velocity (v1 = 0 m/s). We are trying to find the final velocity, v2.
The equation that uses all of these variables is the following:
v2² = v1² + 2*a*Δx
If we plug in the given values and simplify, we get:
v2² = 2*(2)*(9)
v2² = 36
Finally, we can take the square root of both sides to get:
v2 = 6 m/s
Therefore, the answer is 6 m/s.
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A small fan in a closed insulated room releases heat at the rate of 42 watts and pushes the air at the rate of 9 m/s with a mass flow rates of 1.2 kg/s. The room has a heater that produces heat at the rate of 0.30 kJ/s as well as a computer that produces 65 watts. Light bulbs in the room produce up to 125 watts. The room loses 0.32 kJ/s. Calculate the amount of heat maintained in the room.
The refrigerator is removing 300 watts of heat every hour.
Energy can only be changed in form; it cannot be created or destroyed, according to the basic law of thermodynamics. For any system, energy transfer examples include mass crossing the control boundary, external work, or heat transfer across the barrier. These have an impact on the energy reserves of the control volume.
The rate of heat removal from within the refrigerator may be calculated using the formula below thanks to the First Law of Thermodynamics and the definition of a refrigeration cycle.
Rate of heat transfer to the space, measured in watts.
Q=800 W W=500
The refrigerator removes heat at a rate of (800-500) 300 watts per hour.
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When starting a foot race, a 89 kilogram sprinter exerts an average force of 518 newtons backward on the ground for 0.75 seconds. what is his final speed in meters/second at the end of this action?
The final speed of the sprinter is 4.8 m/s.
What is newtons second law of motion?According to the second law, the mass of the item or the net force acting on it both affect how quickly an object accelerates.
An object's acceleration is directly proportional to the net force applied on it and inversely proportional to its mass.
An object's acceleration increases as the amount of force exerted on it does.
A decreasing acceleration is caused by a rise in an object's mass.
Calculation of final velocity;
The sprinter exerts an average force of 518 newtons backward on the ground.
The taken by sprinter is 0.75 sec.
The wight of the sprinter is 89Kg.
According to Newton's second law
Force = mass×acceleration
F = m×a
a = F/m
a = 518/89
a = 6.4 m/sec²
Now, apply the equation of motion of straight line;
final velocity = initial velocity + acceleration×time
As, the sprinter starts from rest; initial velocity = 0.
Substitute all the values;
final velocity = 0 + 6.4×0.75
= 4.8 m/sec
Therefore, the final velocity of sprinter comes out to be 4.8 m/sec.
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The lift on a spinning circular cylinder in a freestream with a velocity of 50m/s and at standard sea level conditions is 10n/m of span. calculate the circulation around the cylinder
The circulation around the cylinder is 0.163Js/kg.
To find the answer, we have to know more about the stream flow.
How to find the circulation around the cylinder?We have,[tex]v=50m/s\\L=10N/m\\d=1.23kg/m^3[/tex] , where d is the density at the sea level.
We have the expression for lift per unit circulation as,[tex]L=dvc\\[/tex]
Thus, the circulation around the cylinder is,[tex]c=\frac{L}{dv} =\frac{10}{1.23*50}=0.163Js/kg[/tex]
Thus, we can conclude that, the circulation around the cylinder is 0.163Js/kg.
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A crowbar of 2m is used to lift an object of 800N if the efforts arm is 160cm clalculate the efforts applied
The applied effort represents the time devoted to the analysis of theory, attendance at theory classes, and the authentic performance of all practical skills.
How to calculate efforts applied?The applied effort represents the time devoted to the analysis of theory, attendance at theory classes, and the authentic performance of all practical skills.
The effort, application, endeavor, and exertion imply activities directed or force expended toward a definite end. Effort exists as an expenditure of energy to perform some objective: He created an effort to control himself. The application exists continuous struggle plus careful attention: constant application to duties.
Length of crow bar = 2m
length of load arm = 0.1M
length effort arm = length of crow bar -length of load arm
=2−0.1=1.9m
so, velocity ratio = length of effort arm/length of load arm = 1.9/0.1 = 19
use formula, velocity ratio = load/effort
19 = 100kgf/effort
effort = 100/19= 5.26 kgf
hence,5.26 effort is required.
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Picking up sound waves is the stage of listening that most people refer to as what?
A. hearing
B. perceiving
C. understanding
D. evaluating
A. Picking up sound waves is the stage of listening that most people refer to as hearing.
What is hearing?
Hearing, or auditory perception, is the ability to perceive sounds through an organ, such as an ear, by detecting vibrations as periodic changes in the pressure of a surrounding medium.
During learning process, when someone picks up the sound waves directed to him/her, it is known as the act of hearing,
Thus, picking up sound waves is the stage of listening that most people refer to as hearing.
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A charged point particle is placed at the center of a spherical gaussian surface. the electric flux is changed if:
The electric flux is changed only if we change the charge.
What is the expression of electric flux?As per gauss law, total electric flux link through a surface is equal to (1/ε0) × charge.Mathematically, electric flux = q/ε0q = total charge enclosed by the gaussian surfaceHere the electric flux is directly proportional to the charge, so on changing charge, the electric flux changes.Thus, we can conclude that the electric flux is changed only if we change the charge.
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What is the horsepower of a 1,500 kg car that can go to the top of a 360 m high hill in exactly 1 min?
Answer:
W = m g h work that must be done on car
P = W / t power that must be input (in Watts)
P = m g h / t = 1500 kg * 9.8 m/s^2 * 360 m / 60 sec
P = 88,200 watts
P = 88,200 watts / 746 watts / hp = 118 hp
The horsepower of a 1,500 kg car that can go to the top of a 360 m high hill in exactly 1 min is 118.23 hp.
To find the power, the given values are,
Mass m = 1500 kg
Height h = 360 m
Time t = 1 minute = 60 seconds
g = 9.8 m/s
What is Power?Power is the amount of work that is done per unit of time. It can be associated with the speed of a change of energy within a system, or the time it takes to perform a job.
There are different types of power,
Mechanical power: is that work performed by an individual or a machine in a certain period of time.Electric power: which is the result of the multiplication of the potential difference between the ends of a load and the current flowing there.Formula for Power is,
Power = mgh/t
Power = (1500 x 9.8 x 360)/60
Power = 8.8 x 10⁴ watts
Recall
746watts = 1hp
8 x 10⁴ watts = 8 x 10⁴ / 746
Power = 118.23 hp
Thus, Power was calculated as 118.23 hp.
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1. Consider the potential energy diagram shown below. This graph shows the chemical potential energy in a reaction system over time. The y-axis is potential energy in kilojoules. The x-axis is the reaction progress or time.
Does this graph represent an endothermic or an exothermic reaction? Explain your answer.
What is the enthalpy change, ΔH, for this reaction? Show your work.
What is the activation energy, Ea, for this reaction? Show your work.
THE GRAPH IS BELOW
150 kJ of energy was given out over the course of the reaction and 200kJ is required for the reactants to be converted into products.
What is the potential energy graph?We know that the combination of the reactants is what leads to the formation of products. The interaction of the reactants and the products is what is shown on the potential energy curve. The hump at the highest point of the graph is the activation energy while the difference between the energy of the reactant and the products is the enthalpy of the reaction.
Now; the enthalpy change is given as;
ΔH = 200 kJ - 50 kJ = 150 kJ
Ea = 250 kJ - 50 kJ = 200kJ
We can see that 150 kJ of energy was given out over the course of the reaction and 200kJ is required for the reactants to be converted into products.
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A proton travels with a speed of 8. 34×10^5 m/s at an angle of 32. 3° with the direction of a magnetic field. the field exerts a force of 3. 00×10^−17 n on the proton. What is the strength of the field?
Magnetic field strength of the field is 4.2 × [tex]10^{-4}[/tex] T
What is Magnetic Field ?The region of space where magnetic force is experienced is known as magnetic field.
The force on a particle of charge q moving at speed v at an angle Ф to a uniform magnetic field of flux density B is given as
F = BqvsinФ
Given that a proton travels with a speed of 8. 34×10^5 m/s at an angle of 32. 3° with the direction of a magnetic field. the field exerts a force of 3. 00×10^−17 N on the proton. What is the strength of the field?
The parameters are;
Force F = 3.0 × 10^−17 NSpeed V = 8.34 × 10^5 m/s Angle Ф = 32. 3°Magnetic field strength B = ? Proton charge = 1.6 x [tex]10^{-19}[/tex] CSubstitute all the parameters into the formula
F = BqvsinФ
3.0 × [tex]10^{-17}[/tex] = ( 1.6 x [tex]10^{-19}[/tex] x 8.34 x [tex]10^{5}[/tex] x sin 32.3 ) B
3.0 × [tex]10^{-17}[/tex] = 7.13 × [tex]10^{-14}[/tex] B
Make B the subject of formula
B = 3.0 × [tex]10^{-17}[/tex] / 7.13 × [tex]10^{-14}[/tex]
B = 4.2 × [tex]10^{-4}[/tex] T
Therefore, Magnetic field strength of the field is 4.2 × [tex]10^{-4}[/tex] T
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When conducting a hypothesis test for a given sample size, if α is increased from 0.05 to 0.10, then __________.
When conducting a hypothesis test for a given sample size, if α is increased from 0.05 to 0.10, then the probability of incorrectly rejecting the null hypothesis increases ,the probability of incorrectly failing to reject the null hypothesis decrease, the probability of Type II error decreases.
A. the probability of incorrectly rejecting the null hypothesis increases
B. the probability of incorrectly failing to reject the null hypothesis decreases
C. the probability of Type II error decreases
Higher values of α make it easier to reject the null hypothesis, so choosing higher values for α can reduce the probability of a Type II error. The consequence here is that if the null hypothesis is true, increasing α makes it more likely that we commit a Type I error.
A type 1 error is also known as a false positive and occurs when a researcher incorrectly rejects a true null hypothesis. This means that your report that your findings are significant when in fact they have occurred by chance.
hence , all the options are correct
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For most people in most environments, the reaction range for iq is about 25 points. this means that:_______
For most people in most environments, the reaction range for IQ is about 25 points, this means that: the environment is the primary determinant of mental health.
Reaction range :
Reaction range refers to limits set on IQ by heredity. Environment determines where IQ will lie within these limits. There is a discrepancy in IQ scores between whites and some minority groups. There are both hereditary and environmental explanations for this discrepancy.
What is the range of reaction principle?
Range of reaction asserts that our genes set the boundaries within which we can operate, and our environment interacts with the genes to determine where in that range we will fall.
Personality or intelligence quotient (IQ) :
Is shaped by genes as well as by an individual's upbringing and surrounding environment. However, in recent time many scientists and researchers have succeeded to identify certain personality characteristics or attributes to some specific genes.
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List three examples of real science that you find on the internet or in real life
for example
1. drinking water at least after 1 hour beacuse if we immediately drink water just after meal it dilutes the HCL produced in our stomach which hinders the digestion process
2.picking up tomatoes for salads which contains oxalic acid
3.Cutting apples which contains malic acid with knife then after sometimes it will trun into brown due to oxidation of iron present in a apple.
A few examples of real science that demonstrate how scientific research and exploration contribute to our understanding of the world around us are the Human genome project, Mars exploration, and Climate Change Studies.
Human Genome Project:
The Human Genome Project (HGP) is a real scientific endeavor that aimed to map and sequence all the genes in the human genome. It involved an international collaboration of scientists and researchers to understand the genetic makeup of humans.
Mars Exploration:
Various space agencies, such as NASA and ESA, have conducted real scientific missions to explore Mars. Rovers like Curiosity and Perseverance have been sent to the Martian surface to study its geology, and atmosphere, and search for signs of past life.
Climate Change Studies:
Climate change research is an ongoing scientific field that investigates the causes and effects of global climate change. Scientists collect and analyze data from various sources, including satellite observations, weather stations, and ice core samples, to study trends and changes in Earth's climate over time.
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A proton moves a distance 10 cm in a uniform electric field of 3.5 kN C, in the direction of the field.
Calculate the change in potential energy of the proton.
The change in potential energy of the proton is 5.6 x [tex]10^{-17}[/tex] Joule
What is a Uniform Electric Field ?A uniform electric field is where the electric field strength is the same at all points in the field. In the uniform field, the force experienced by a charge is the same no matter where it is placed in the field.
Given that a proton moves a distance 10 cm in a uniform electric field of 3.5 kN C, in the direction of the field.
The distance d = 10 cm = 0.1 mElectric field E = 3.5 KN/CProton charge q = 1.6 x [tex]10^{-19}[/tex] CThe Work done = Fd
but F = Eq
Recall that Electric field E = F/q = V/d
Where V = potential difference.
Let us first calculate the V
E = V/d
V = Ed
Substitute all the parameters into the formula above
V = 3.5 × 10³ × 0.1
V = 350 v
from F/q = V/d
make F the subject of formula and substitute it in work formula
F = Vq/d
W.D = Vq/d x d
W.D = Vq
Substitute all the parameters into the formula above
W.D = 350 x 1.6 x [tex]10^{-19}[/tex]
W.D = 5.6 x [tex]10^{-17}[/tex] J
Work done = Energy = Potential Energy
Therefore, the change in potential energy of the proton is 5.6 x [tex]10^{-17}[/tex] Joule
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The first time that astronomers observed both gravitational waves and electromagnetic waves from the same event, what they were observing was:_____
Higher frequencies are present in more dramatic events and have thus been the first to be noticed, but the frequencies of ordinary gravitational waves are relatively low and considerably more difficult to detect.
A gamma-ray burst (GRB), which was discovered by the orbiting Fermi gamma-ray burst monitor on 2017 August 17 at 12:41:06 UTC, triggered an automatic notice throughout the world in addition to a merger of black holes. Six minutes later, a gravitational-wave observatory in Hanford, Washington, detected a gravitational-wave candidate that occurred 2 seconds before the gamma-ray explosion.
This collection of data supports the merger of two neutron stars, as shown by a multi-messenger transient event that was detected by gravitational waves as well as electromagnetic (gamma-ray burst, optical, and infrared) spectrum observations.
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A charge of 12 c passes through an electroplating apparatus in 2. 0 min. what is the average current?
A charge of 12 c passes through an electroplating apparatus in 2.0 min, then the average current is 0.1 ampere.
What is an electric charge?Charged material experiences a force when it is exposed to an electromagnetic field due to the physical property of electric charge. You can have a positive or negative electric charge.
Electric current is defined as the charge per unit of time.
The mathematical relation between current and the electric charge
I =Q/T
where I is the current flowing
Q is the total electric charge
T is the time period for which the current is flowing
As given in the problem A charge of 12 c passes through an electroplating apparatus in 2.0 min
Let us first convert the time period of minutes into seconds
1 min = 60 seconds
2 min = 2*60 seconds
=120 seconds
By using the above relation between electric current and electric charge
and by substituting the respective values of the charge and the time period
I =Q/T
I = 12c/120 seconds
I = 0.1 Ampere
Thus, the average current flowing through the apparatus would be 0.1 Ampere.
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Assuming the diode is ideal but with a forward voltage drop of. 65 volts, what is the current in ma if v1=0v, and r1=490ω?
The current in the ideal diode with forward biased voltage drop of 65V is 132.6 mA.
To find the answer, we have to know more about the ideal diode.
What is an ideal diode?A type of electronic component known as an ideal diode has two terminals, only permits the flow of current in one direction, and has less zero resistance in one direction and infinite resistance in another. A semiconductor diode is the kind of diode that is used the most commonly. It is a PN junction-containing crystalline semiconductor component that is wired to two electrical terminals.How to find the current in ideal diode?Here we have given with the values,[tex]V_2=65V\\V_1=0V\\R_1=490Ohm.[/tex]
We have the expression for current in mA of the ideal diode with forward biased voltage drop as,[tex]I=\frac{V_2-V_1}{R_1} =\frac{65}{490} =132.6mA[/tex]
Thus, we can conclude that, the current in mA of the ideal diode with forward biased voltage drop of 65 V is 132.6.
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A fisherman's scale stretches 3. 2 cm when a 2. 6 kg fish hangs from it. part a what is the spring stiffness constant?
The spring stiffness constant is 796.25 N/m.
A spring's "spring constant" is a property that quantifies the relationship between the force acting on the spring and the displacement it produces.
The slope of the plot of the straight line W vs x represents the spring constant, K. Weight (W) is defined as mass times the gravitational acceleration (g), where g is equal to approximately 980 cm/sec².
Mass of the fish = 2.6 kg
Length of the fisherman's scale, x = 3.2 cm
= 3.2/100 m
= 0.032 m
We have to find the value of k;
We know that,
F = - kx
Where k is the spring constant,
F is the force applied over x
x is the displacement by the spring expressed in N/m.
mg = - kx
g = 9.8 m/s²
[tex]K = \frac{mg}{x}[/tex]
[tex]= \frac{2.6*9.8}{0.032}[/tex]
[tex]= 796.25 N/m[/tex]
Therefore, the spring's constant is 796.25 N/m.
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A satellite is 1200 k above the earth (radius = 6400 k); it completes one revolution in 90min. what is the linear speed?
A satellite is 1200 k above the earth (radius = 6400 k); it completes one revolution in 90min. what is the linear speed?
530.58 (1200+6400)*pi*2/90
What is linear speed?The measurement of a moving object's actual distance traveled is called linear speed. Linear speed is the rate of motion of an object along a straight line. In plain English, it is the distance traveled along a linear path in the allotted amount of time.
A pseudovector used in physics to express how quickly the angular location or orientation of an item changes over time is called an angular velocity or rotational velocity The pseudovector's direction is normal to the instantaneous plane of rotation or angular displacement, and its magnitude corresponds to the object's angular speed, or the rate at which it rotates or revolves. The right-hand rule is a common way to specify the direction of angular velocity.
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A boy on board a cruise ship drops a 30. 0 gm marble into the ocean. If the resistive force proportionality constant is 0. 500 kg/s. What is the terminal speed of the marble in m/s?.
The terminal speed of the marble is 0.588 m/s.
Calculation:We know that,
F = mg ......(1)
where,
F = force
m = mass
g = acceleration due to gravity
Also,
v = F/k ......(2)
where,
v = terminal speed
k = proportionality constant
Substituting the value of F from equation (1) in equation (2)
v = mg/k .......(3)
Given,
m = 30 g = 0.030 kg
k = 0.500 kg/s
g = 9.8 m/s²
To find,
v =?
Put the values in equation (3)
v = mg/k
v = 0.03(9.8)/ 0.500
= 0.294/0.500
= 0.588 m/s
Hence, the terminal speed of the marble is 0.588 m/s.
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.
0.588 m/s
0.588 m/s is the terminal speed of the marble.
Calculation:We know that,
F = mg ----> eq(1)
where,
F = force
m = mass
g = acceleration due to gravity
We also know,
v = F/k ----> eq(2)
where,
v = terminal speed
k = proportionality constant
On substituting the value of F from eq(1) in eq(2)
v = mg/k
Given,
m = 30 g = 0.030 kg
k = 0.500 kg/s
g = 9.8 m/s²
we need to find,
v =?
substitute the values in equation (3)
v = mg/k
v = 0.03(9.8)/ 0.500
= 0.294/0.500
= 0.588 m/s
Hence, the terminal speed of the marble is 0.588 m/s.
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Waves start as a disturbance (an input of energy) in a medium (water, air, the earth etc). The energy of the disturbance is moved from the starting point to other places in the medium by what means?
A
It depends on whether the wave is longitudinal or transverse. Transverse waves move energy differently than longitudinal waves.
B
The means of energy movement in a wave depends on the magnitude (force) of the original wave. Strong waves propagate by a different method than weak ones.
C
Molecules in the original disturbance disturb (move) adjacent molecules which disturb more adjacent molecules and so the wave travels.
D
It depends on the wavelength of the wave, short wavelength waves travel faster and move energy differently than long wavelength waves.
C. Molecules in the original disturbance disturb (move) adjacent molecules which disturb more adjacent molecules and so the wave travels.
What is wave?A wave can be defined as a propagating dynamic disturbance of one or more quantities.
A wave can be propagated in longitudinal or transverse method.
When waves start as a disturbance (an input of energy) in a medium (water, air, the earth etc).
The energy of the disturbance is moved from the starting point to other places in the medium by molecules in the original disturbance disturb (move) adjacent molecules which disturb more adjacent molecules and so the wave travels.
Thus, the correct option is C.
"Molecules in the original disturbance disturb (move) adjacent molecules which disturb more adjacent molecules and so the wave travels".
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450n 360n 710n 1400n 230n a block is placed in oscillation on a frictionless horizontal surface attached to a spring that is also attached to a wall. If, when stretched away from equilibrium by 15cm and released, it oscillates with a period of 0. 25s, and if the mass of the block is 15kg, what force was required to stretch the spring by the initial 15cm?.
The force stood needed to stretch the spring by the initial 15cm exists 1420 N.
What is oscillation?The motion between two positions back and forth, or swinging back and forth like a pendulum exists comprehended as oscillation.
What is equilibrium?A condition where competing forces or activities exist in balance exists named equilibrium.
What is the stretching force?Tensional force exists as the force exerted by a stretched item.
It could be a rope, string, elastic band, or wire that exists being extended.
The object's tensional force exists used to the object stretching it.
The stretched object exists subject to tensile force.
Force stood needed to stretch the spring by the initial 15cm exists 1420 N.
Let, m = 15, P = 0.25, x = 0.15
F = -K x for spring
where, F is the force
K be the constant
ω [tex]= (K/m)^{1/2[/tex]
where, ω be the angular frequency
m b the mass of the block
[tex]$\omega^2 = K / m[/tex]
[tex]K = m \omega^2[/tex] [tex]= m (2 \pi f)^2[/tex] [tex]= m 4 \pi ^2 / P^2[/tex]
K = 4[tex]\pi ^2[/tex] m / [tex]P^2[/tex]
[tex]F = K x = x * 4 \pi ^2 m / P^2[/tex]
[tex]F = 0.15 * 4 * \pi ^2 * 15 / 0.25^2[/tex]
F = 1420 N
The force stood needed to stretch the spring by the initial 15cm exists 1420 N.
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A car drives around a curve with a radius of 42 m at a velocity of 24 m/s. what is the centripetal acceleration of the car? m/s2
Answer:
13.7 m/s^2
Explanation:
Radius, r= 42m
Velocity, v= 24m/s
Ac= V^2/r
Ac=(24)^2/42
Ac= 13.7m/s2
The centripetal acceleration is 13.7 m/s².
Calculation:Centripetal acceleration is given by,
Ac = v²/r
where,
Ac = centripetal acceleration
v = velocity
r = radius
Given,
v = 24 m/s
r = 42 m
To find,
Ac =?
Put the value in the formula,
Ac = v²/r
= (24)²/42
= 576/42
= 13.7 m/s²
Hence, the centripetal acceleration is 13.7 m/s².
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A wooden block contains some nails so that its density is exactly equal to that of water. if it is placed in a tank of water and released from rest when it is completely submerged, it will?
A wooden block contains some nails so that its density is exactly equal to that of water. if it is placed in a tank of water and released from rest when it is completely submerged, it will remain where it is released.
The concept of density seeks to measure the weight of an object in relation to its size. It is the measure of how packed together the particles of that object are. An object placed in a liquid displaces a certain volume of the liquid, based on the relative density of the object and the liquid.
If an object is less dense than a liquid in which it is placed, it displaces a smaller volume of the liquid than its volume, hence only some part of the object will be seen to be under the liquid, the other part will float.
If an object is denser than the liquid in which it is placed, it displaces a larger volume of the liquid than its own volume, making the object to sink and is submerged, sometimes to the bottom of the liquid, but mostly below the point at which it was released.
Finally, if the density of an object and the liquid into which it is submerged is the same. the object's mass per unit volume is the same as the liquid's mass per unit volume, hence the weight and force created due to density will balance and cancel each other out hence making the object to remain where it was submerged.
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1. Magnetic force acting on a unit positive charge moving perpendicular to the magnetic field with a unit velocity is called
a. magnetic flux
b. magnetic field intensity
c. magnetic induction
d. self-inductance
Magnetic Flux is the magnetic force acting on a unit positive charge moving perpendicular to the magnetic field with a unit velocity
What does magnetic flux depend on ?The magnetic flux or field lines linking a coil depends on;
The magnetic field strengthThe number of turns of the coilThe area of each turnAccording to the question, the Magnetic force acting on a unit positive charge moving perpendicular to the magnetic field with a unit velocity is called magnetic flux
To obtain a large induced electromotive force, we cause a coil of many turns to move at a high speed across a strong magnetic field.
According to Faraday's law, which state that whenever there is a change in the magnetic lines of force, an electromotive force is induced, the strength of which is proportional to the rate of change of the flux linked with the circuit.
Therefore, Magnetic Flux is the magnetic force acting on a unit positive charge moving perpendicular to the magnetic field with a unit velocity
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How much brighter is a sun-like star than the reflected light from a planet orbiting around it?.
It is about a billion times brighter.
What is the brightness of a star called?A star's apparent magnitude, or how bright it seems to be from Earth, and absolute magnitude, or how brilliant it looks at a standard distance of 32.6 light-years, or 10 parsecs, are words used by astronomers to describe stellar brightness. How bright are planets compared to stars?Although planets and stars light up the night sky, planets usually appear much brighter than most stars. Astronomers use astronomical scales to measure the relative brightness of celestial bodies, and many planets fall within the range easily visible to the eye.To learn more about planets from the given link
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Mercury at 25°c flows over a 3-m-long and 2-m-wide flat plate maintained at 75°c with a velocity of 0. 01 m/s. Determine the rate of heat transfer from the entire plate?
The rate of heat transfer from the entire plate is 710.8 kW
The properties of mercury at the film temperature of (75+25)/2= 50°C
k = 8.83632 W/m °C
v = 1.056 × [tex]10^-^7[/tex] m²/s
Pr = 0.0223
The local Nusselt number relation for liquid metals is given by
[tex]N_u =\frac{h_sx}{k} = 0.565 9Re_x Pr)^\frac{1}{2}[/tex]
The average heat transfer coefficient for the entire surface can be determined from
[tex]h = \frac{1}{L} \int\limits^1_0 {h_x} \, dx[/tex]
Substituting the local Nusselt number relation into the above equation and performing the integration we obtain
[tex]N_u = 1.13 (Re_s Pr)^\frac{1}{2}[/tex]
The Reynolds number is
[tex]Re_L = \frac{VL}{v} = \frac{(0.01)(3m)}{1.056 * 10^-^7 m^2/s} = 0.028 * 10^7[/tex]
Using the relation for the Nusselt number, the average heat transfer coefficient and the heat transfer rate are determined to be
Q = 710.8 kW
Therefore, the rate of heat transfer from the entire plate is 710.8 kW
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A resistor, an inductor, and a capacitor are connected in series to an ac source. under what conditions will the impedance of the circuit increase as the inductive reactance increases?
180° is the phase angle. An AC source is linked in series with a resistor, an inductor, and a capacitor. Inductive reactance rises with frequency because an alternating current has a time-averaged rate of change that is proportional to frequency.
Impedance of RLC series circuit
2= P²R² + (XL-X₁) ²
Here & 4 tan² (x₁=X₂) $ R +1 180° tan (XL R tan 180° = XL-X C R XL-XC R ..
XL-XC R X₁-X ₁ = 0 XL = Xc 2 = √√√ R² + 0² 2 2 = R
Resonance is the condition in question here. When induction occurs as well as capacitive reactances equal are equivalent but cancel due to the fact that they have degrees of phase separation. During resonance, Impedance is very low.
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Move the chemistry book across the physics book again. study the thermometer to determine whether there’s a change in the physics book’s temperature. what do you find?
Heat is always transferred through the movement of matter in the convection mode of heat transmission.
What is heat transfer ?Heat transfer is the movement of heat from one solid or liquid item to another. Always, heat moves from one body with a greater temperature to one with a lower temperature. To put it another way, heat always transfers from a hotter body to a cooler body.
Heat energy is transferred through the mechanism of conduction when nearby atoms or molecules collide. In solids and liquids, where particles are more closely spaced, conduction happens more easily than in gases, where particles are more widely spaced.Here we can say that heat is transfer when there is movement between two books and hence there is change in temperature.Learn more about Heat transfer here:
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Answer:
The temperature of the physics book increases as the chemistry book slides across it.
Explanation:
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