The value of distance covered by the particle during the first 3 second which moves along a line so that its acceleration is 12t, is 54 ft.
What is the acceleration of an object?Acceleration of an object is the rate of change of velocity of the object per unit time.
A particle moves along a line so that at time t0 its acceleration is given by [tex]a(t) = 12t\rm\; ft/sec^2[/tex]
The value of distance covered by the particle during the first 3 second has to be obtained.
Acceleration is the change in velocity (v) per unit time. Thus, the above equation can be written as,
[tex]a(t) = 12t\rm\; ft/sec^2\\\dfrac{dv}{dt}= 12t\rm\; ft/sec^2[/tex]
The equation can be solved as further.
[tex]\dfrac{dv}{dt}= 12t\\v= 6t^2+v_0\rm[/tex]
Here, the vo is the initial velocity which is equal to zero.
[tex]v=6t^2[/tex]
Velocity is the change in distance(s) per unit time. Thus, the above equation can be written as,
[tex]\dfrac{ds}{dt}=6t^2\\\dfrac{ds}{dt}=2t^3+s_0[/tex]
Here, the so is the initial position which is equal to zero. Thus,
[tex]s=2t^3[/tex]
Put the value of time t=3.
[tex]s=2(3)^3\\s=54\rm\; ft[/tex]
Thus, the value of distance covered by the particle during the first 3 second which moves along a line so that its acceleration is given by a(t) = 12t is 54 ft.
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Four resistors (67 ohm, 83 ohm, 433 ohm, and 309 ohm in that order) are connected in series to a 7.92 V battery of negligible internal resistance. What is the voltage difference across the second resistor
Answer:
.737 v
Explanation:
Since they are in series....they all have the same current running through them.....find the total resistance to calculate the current:
R = 67 + 83 + 433 + 309 = 892 ohm
V/R = current = 7.92 / 892 = 8.87 mAmps
Now the voltage across ecah resistor is I R
for the second one 8.87 ma * 83 ohm = V = .737 V
Which statement describes one of the main principles of Dalton's atomic theory? Elements of the same atom are identical. O Atoms of the same element are different. O Elements of the same atom are different. Atoms of the same element are identical.
Dalton's atomic theory is related to the characteristics of atom. The statement describes one of the main principles of Dalton's atomic theory is atoms of same element are identical.
What is Dalton's atomic theory?The Dalton's theory states that All matter is composed of extremely small particles called atoms and Atoms of a given element are identical in size, mass, and other properties. Atoms of different element are different.
Hence, the statement describes one of the main principles of Dalton's atomic theory is atoms of same element are identical.
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You are still able to hear sounds coming from a room when the door is open only a tiny crack due to…?
Answer:
Sound waves are able to go throught some objects.
Explanation:
Electromagnetic radiation includes only visible light waves.
true or false
The entire electromagnetic spectrum, from the lowest to the highest frequency (longest to shortest wavelength), includes all radio waves (e.g., commercial radio and television, microwaves, radar), infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays.
False, There is other things aswell
Which year was pluto no longer considered a planet?.
Food must often stay warm prior to being served but also not be damaged by the heating process. Which of these components of the electromagnetic spectrum would be high enough in associated energy to warm food without having ionizing impacts on the components of the food itself? Select ALL that apply.
The electromagnetic spectrum which is high enough to warm food without having ionizing impacts include:
MicrowavesInfraredWhat is Ionization?This involves an atom or a molecule gaining or losing electrons to form charged ion.
The electromagnetic spectrum wit long wavelengths will have enough energy to warm it without ionizing impacts and they are mentioned above.
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A ________ results when the outward-directed gas pressure (created by thermal nuclear energy) is balanced in a stable relationship with inward-directed gravitational force.
When the outward-directed gas pressure (created by thermal nuclear energy) is balanced in a stable relationship with inward-directed gravitational force results in main sequence star.
What is pressure ?The pressure is the force exerted per unit area.
A main sequence star fuses hydrogen in its core and has balanced outward pressure from core nuclear fusion and gravitational forces will be pushing inward.
When the outward-directed gas pressure is balanced in a stable relationship with inward-directed gravitational force results in main sequence star.
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A proton of energy 900gev collides with a stationary proton. Find the available energy ea. The rest energy of the proton is 938mev
The total energy available during the collision of the two protons is determined as 900,938 MeV.
Total energy available during the collision
Based on the principle of conservation of energy, the total energy of the two protons during the collision will be conserved.
Available energy = Er + K
Where;
Er is the rest energyK is the kinetic energyAvailable energy = 938 MeV + 900 GeV
Available energy = 938 Mev + 900 x 10³ MeV
Available energy = 938 MeV + 900,000 MeV
Available energy = 900,938 MeV
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Vhich type of reaction is modeled by this chemical equation?
PLi + CaCl2 - 2LICI + Ca
Answer:
Double-replacement
Explanation:
2Li + CaCl2 → 2LiCl + Ca O
D. Double-replacement
What is the momentum of a 8kg ball rolling at 25 m/s?
Answer:
200
Explanation:
P = M x V
P = 8 x 25
P = 200
1150 kg car is on a 8.70 degree hill. What’s the x component of the normal force
Answer:
The x - component of the normal force is equal to 1706.45 N.
Explanation:
To solve the problem, and since there is no additional information, we can safely assume that the x-axis is parallalel to the hill surface and the y-axis is perpendicular to the x-axis. Knowing that, we can calculate the components of the normal force (or weight for this case), using the following formulas:
[tex]N
x
=W∗Sin(α)=mg∗Sin(α)[/tex]
[tex]N
y
=W∗Cos(α)=mg∗Cos(α)[/tex]
Now, using the given information, we have:
[tex]mass=m=1150Kg[/tex]
[tex]a=8.70[/tex]
[tex]g=9.81 \frac{m}{ {s}^{2} } [/tex]
Calculating, we have:
[tex]N_{x}=mg*Sin(\alpha)[/tex]
[tex] \: \: \: \: \: \: \: \: \: N_{x}=1150Kg*9.81\frac{m}{s^{2}}*Sin(8.70\°)[/tex]
[tex]N
x =11281.5
s
2
Kg.m
∗Sin(8.70\°) = \\ \\ 1706.45
s
2
Kg.m
=1706.45.23N[/tex]
Hence, we have that the x-component of the normal force is equal to 1706.45 N.
Answer:
zero
Explanation:
fx=
The following equation, N2 + 3 H2 —>2 NH3 ,describes a
(1) physical change
(3) mixture
(2) chemical change
(4) element
A force of 26. 4lb is applied to an area of 1. 71in 2 what is the pressure
Answer:
Dont kno
Explanation:
Dont
What are the criterions that need for mechanical work?
Mechanical work is the work done by a force on a mechanical body like machines .
When some mechanical force is applied on the machine the machine does some work which is mechanical work
It's a scaler quantity and have units as Joules(J)
The main criterion is mechanical energy,Force , Displacement (Not mandatory)
Wave travelling along right with speed of 0. 5 m/s time 4 second point p
The wavelength of the wave which is travelling along right with speed of 0. 5 m/s time 4 second point is 2.
What is the speed of wave?Speed of wave is the rate by which the wave travels. It can be described as the distance cover by the crest or thrust of it per unit of time. It can be calculated with the following formula,
[tex]v=f\times\lambda[/tex]
Here, (f) is the frequency and (λ) is the wavelength.
The frequency is inverse of time. Thus, the value of frequency in time t is,
[tex]f=\dfrac{1}{t}\\f=\dfrac{1}{4}\\f=0.25[/tex]
The speed of the wave is 0.5 m/s. Put the values in the formula,
[tex]v=f\times\lambda\\0.5=0.25\times\lambda\\\lambda=\dfrac{0.5}{0.25}\\\lambda=2[/tex]
Thus, the wavelength of the wave which is travelling along right with speed of 0. 5 m/s time 4 second point is 2.
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How much heat energy is required to raise the temperature of 1 kilogram of steel by 10°C?
from
∆H=MC∆T
but M=1Kg=1000g
∆T=10°C
C=0.466J/g°C
∆H=(1000×0.466×10)Joule
=4660J
explanation
When heat energy is added to a substance, the temperature will change by a certain amount. The relationship between heat energy and temperature is different for every material, and the specific heat is a value that describes how they relate.
heat energy = (mass of substance)(specific heat)(change in temperature)
Q = mc∆T
Q = heat energy (Joules, J)
m = mass of a substance (kg)
c = specific heat (units J/kg∙K)
∆ is a symbol meaning "the change in"
∆T = change in temperature (Kelvins, K
Why is the moon’s force of gravity less than that of the earth?
Why is the moon’s force of gravity less than that of the earth?
Answer:-Since the moon has a smaller mass than the earth, the moon has less gravity than the earth. Gravity is related to mass.
Larger mass = larger gravity
Smaller mass = lesser gravity
Moon has small mass, therefore less gravity.
What are stars made of?
Answer: The churning nuclear forges at the centres of stars produce light and heat, creating stars.
Explanation:
Answer: Hyrdrogen and Helium.
Explanation:
(ii) The ball has a time of flight of 3.5s before landing The green is a vertical
distance of 7.5 m above the point at which the ball was hit, as shown. The green
is about seventy metres away from where the ball is hít.
flight of ball
green
ball hit at this point
17.5m
7 Om
Deduce whether, if air resistance is ignored, the ball could land on the green
after a flight time of 3,5s.
If air resistance is ignored, the ball could land on the green after a flight time of 3.5s.
Vertical velocity of the ball
The vertical velocity of the ball is calculated as follows;
[tex]h = v_yt - \frac{1}{2} gt^2\\\\7.5 = (3.5)v_y - \frac{1}{2}(9.8)(3.5)^2\\\\ 7.5 = 3.5v_y - 60.025\\\\3.5v_y = 67.525\\\\v_y = 19.29 \ m/s[/tex]
Horizontal velocity of the ballX = Vxt
Vx = (X)/t
Vx = (70)/3.5
Vx = 20 m/s
Resultant initial velocityv = √(Vy² + Vx²)
v = √(19.29² + 20²)
v = 27.79 m/s
Angle of projectiontanθ = (Vy)/(Vx)
tanθ = (19.29)/(20)
tanθ = 0.9645
θ = 43.96⁰
check if time of flight will be equal to 3.5 s or moreThe time of flight is calculated as follows;
[tex]T = \frac{2u \times sin(\theta)}{g} \\\\T = \frac{2 \times 27.79 \times sin(43.96)}{9.8} \\\\T = 3.9 \ s[/tex]
Check if the range of ball will 70 m or moreX = VxT
X = 20 x 3.9
X = 78 m
The ball will land on green which is at 70 m after 3.5s.
Thus, if air resistance is ignored, the ball could land on the green after a flight time of 3.5s.
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As a aider how do you prepare for an emergency?
Answer:
Assess the situation quickly and calmly. Safety: check whether you or the casualty are in any danger. ...
Protect yourself and them from any danger. ...
Prevent infection between you and them. ...
Comfort and reassure. ...
Assess the casualty and give first aid treatment. ...
Arrange for help if needed
Explanation:
A car has a kinetic energy of 4.32 x 10J when traveling at a speed of 23 m/s. What is its mass?
Answer
0.163 kg
Explanation:
[tex]\sf Kinetic \ Energy = \dfrac{1}{2} \ x \ mass \ x \ velocity^2[/tex]
Here we are provided with:
1) Kinetic Energy = 4.32 x 10 Joules ≈ 43.2 Joules
2) Speed/Velocity = 23 m/s
Now, solve for mass:
[tex]\rightarrow \sf \dfrac{1}{2} \ x \ mass \ x \ velocity^2 = Kinetic \ Energy[/tex]
[tex]\rightarrow \sf \dfrac{1}{2} \ x \ mass \ x \ (23)^2 =43.2[/tex]
[tex]\rightarrow \sf mass= \dfrac{43.2 (2)}{23^2}[/tex]
[tex]\rightarrow \sf mass= 0.163 \ kg[/tex]
What is the benefit of cooling down after exercise?
Answer:
3 benefits of a restrict afterwards a practice Brings essence rate back off and slows respiring Muscles return back to optimum motionless distance Prevents ancestry from combining in lower limits Cool down stretches are used to weaken courage rate and respiring rates afterwards exercise. It can help cause your soul rate back off to situated rate.
Explanation:
The Renaissance astronomer who wrote the pioneering book that suggested the Earth probably orbits the Sun (instead of the other way around) was: Group of answer choices Eratosthenes Copernicus Newton Ptolemy
The Renaissance astronomer who wrote the pioneering book that suggested the Earth probably orbits the Sun was Copernicus.
Who is an astronaut?An astronaut observes and performs the experiments based on the universe.
The astronomer observes the universe and its components closely using telescope being on the Earth. While the astronaut goes into space to look in closely.
The astronomer who gave the observation that Earth is orbiting around the Sun was Nicolaus Copernicus.
Thus, the correct option is Copernicus.
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What is the amplitude of the wave?
Answer:
1 meter for this wave
Explanation:
Amplitude is the height of the wave from the midline to the crest
Suppose you have a scarf that appears red when you are outside on a sunny day. Will the scarf appear red if you view it under different colors of light?
Answer:
no
actually no one weres the scarf in sunny ʕ•ε•ʔ
Explanation:
The colours we see are the wavelengths that are reflected or transmitted. For example, a red shirt looks red because the dye molecules in the fabric have absorbed the wavelengths of light from
A uniform magnetic field b is perpendicular to the plane of a circular loop
A uniform magnetic field is perpendicular to the plane of a circular loop. The rate must the magnitude of change to induce a 10 A current in the loop.
What is uniform magnetic field?The magnetic field which doesn't change with respect to time is called the uniform magnetic field.
The resistance of the loop is related to the length of the wire as
R=ρ L/ A
Diameter of wire is 10 cm formed from wire of diameter 2.5 mm and resistivity is 1.69×10⁻⁸ Ω⋅m.
Substituting the values into the above equation, we get
R = {(1.69×10−8Ω⋅m) × π(0.10m)} / {π(2.5×10−3m)2/4}
R =1.1×10−3Ω
Current is related to emf as
i=∣ε∣/R
=∣dΦB/dt∣ / R
=(πl2/R) ∣ dB/dt ∣.
Substituting the given values from the question, we have rate of change of magnetic field
∣dB / dt∣ = πr2iR
∣dB / dt∣ = π(0.05m)2(10A)(1.1×10−3Ω)
∣dB / dt∣ =1.4T/s
Therefore, the rate must the magnitude of change to induce a 10 A current in the loop is 1.4T/s.
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Which object represents a negatively charged particle? which object represents a positively charged molecule? which object represents an uncharged molecule? which object will not move when in an electric field?
The answers to your questions are as written below:
The objects that represents a negatively charged particle is : Image B The object that represents a positively charged molecule is : Image A The object that represents an uncharged molecule is : Image C The object the will not move when in an electric fied is : Image C Different types of charges moleculesA negatively charged molecule move inwards when placed in an electric field while positively charged molecule placed in a electric field will move outwards the electric field.
A neutral/uncharged molecule will remains still when placd in an elctric field due to the absence of charges.
Hence we can concude that the answers to your questions are as listed above.
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attached below is the missing image
Can someone please answer this, ill give you brainliest Would be very appreciated.
Answer:
cohesive properties
Explanation:
The property of cohesion allows liquid water to have no tension on the surface.
Answer:
Cohesive properties
Explanation:
Cohesive properties denotes to attraction of particles on surface like sticking with each otherWater has higher cohesive properties so no surface tensionAn object attached to one end of a spring makes 20 vibrations in 10 seconds. Its angular frequency is: 0. 79 rad/s 1. 57 rad/s 2. 0 rad/s 6. 3 rad/s 12. 6 rad/s
Angular frequency in radian per second for 20 vibrations in 10 seconds is 12.6 rad/s
What is Angular frequency?Angular frequency is the number of vibrations in radian per second.
The total number of vibrations n is 20 and the time taken for these vibrations is 10 s
The frequency of the vibrations will be
f = 20 / 10 = 2 Hz
Angular frequency is related to the frequency as
ω = 2πf
ω=2π × 2
ω = 12.6 rad/s
Thus, the angular frequency is 12.6 rad/s.
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Which requires more force to accelerate?
an object that weighs 20 kg
an object that weighs 5 kg
Answer:
An object that weighs 20 kg
Explanation:
Acceleration and mass are indirectly proportional.
