For the body's position at time t is mathematically given as
s(t)=4.9t^2+5t+16
What is the body's position at time t
Generally, the equation for the velocity is mathematically given as
v=ds/dt
v=9.8t+5 as velocity
s=4.9t^2+5t+c
s(0)=16
16=c
s(t)=4.9t^2+5t+16
In conclusion the body's position at time t
s(t)=4.9t^2+5t+16
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The body position at the given time t is s = 4.9t² + 5t + 16 if the velocity v= ds/dt and the initial position of a body moving along a coordinate line.
What is the distance?A numerical representation of the distance between two items or locations is called distance. A physical length or an approximation based on other considerations in physics or common usage can be referred to as distance.
We have:
[tex]\rm v = \frac{ds}{dt}[/tex]
[tex]\rm v = 9.8t+5[/tex] is the velocity
[tex]\rm s = 4.9t^2+5t+c[/tex] is the speed
At t = 0 s(0) = 16
16 = c
[tex]\rm s = 4.9t^2+5t+16[/tex]
Thus, the body position at the given time t is s = 4.9t² + 5t + 16 if the velocity v= ds/dt and the initial position of a body moving along a coordinate line.
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What do tripped circuit breakers and blown fuses indicate.
Answer:
When a circuit breaker regularly trips or a fuse repeatedly blows, it is a sign that you are making excessive demands on the circuit and need to move some appliances and devices to other circuits. Or, it may indicate that your house has too few circuits and is in need of a service upgrade.
1. What is one way that light waves differ from sound waves?
A. Light waves all have the same frequency..
B. Light waves travel by oscillation.
C. Light waves do not require a medium to propagate.
D. Light waves transfer energy.
2. Which best explains why high frequency electromagnetic waves are more likely to cause harm to living things?(1 point)
A. As a wave's frequency increases, more energy is carried by the wave in a given time period.
B. As a wave's frequency increases, less energy is carried by the wave in a given time period.
C. As a wave's frequency increases, a constant energy is carried by the wave in a given time period.
D. As a wave's frequency increases, the energy carried by the wave in a given time period is equal to zero.
3. How do the frequencies and the speeds of yellow light and blue light compare?
This is defined as a propagation of disturbances from place to place in a regular and organized way.
The answers provided above are therefore the most appropriate choices in this scenario.
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Answer: Light waves do not require a medium to propagate and As a wave's frequency increases, more energy is carried by the wave in a given time period.
Explanation:
The main environmental effects of ozone depletion could include all of the following except
The main environmental effects of ozone depletion could include the following:
higher risk of skin cancersunburnsquick ageingweakend immune systemWhat is ozone depletion?Ozone depletion is the gradual thinning of the ozone layer in the upper atmosphere as a result of the relelase of chemical compounds or gases.
Ozone layer helps prevent the Earth surface against incoming ultraviolet radiations that could cause damage to our environment.
Therefore, the main environmental effects of ozone depletion could include the following:
higher risk of skin cancersunburnsquick ageingweakend immune systemLearn more about ozone depletion at: https://brainly.com/question/1238233
The following are some of the primary environmental implications of ozone depletion and increased risk of skin cancer, sunburns, rapid aging, and the immune system being weakened.
What is ozone depletion, and how does it happen?The progressive weakening of the ozone layer in the upper atmosphere as a result of the release of chemical compounds or gases is known as ozone depletion.
The ozone layer protects the Earth's surface from harmful UV rays that may harm our environment. As a result, the primary environmental effects of ozone depletion could include:
1. An increased risk of skin cancer
2. Sunburns
3. Rapid aging
4. The immune system is weakened.
Hence increased risk of skin cancer is the main environmental effect of ozone depletion.
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you have to choose more than one on this
In your own words describe the physiological significance of the fev1/fvc ratio
Answer:
if you doctor suspect that you have COPD , they will calculate your fev1/fvc ratio . this represent the percentage of your lung capacity that you can explain in one second. the higher your percentage , the larger your lung capacity and the healthier your lungs
The ratio [tex]\frac{FEV1}{FVC}[/tex] indicates the diameter of an airway. The greater the value, the more quickly air can pass through the airway.
What is lung volume?The volume of air in the lungs at different stages of the respiratory cycle is referred to as lung volumes and lung capacities. An adult human male's entire lung capacity is around 6 liters of air.
The ratio [tex]\frac{FEV1}{FVC}[/tex] indicates the diameter of an airway. The greater the value, the more quickly air can pass through the airway. As a result, the lower the resistance, the broader the airway becomes.
Hence the lower the resistance, the broader the airway becomes.
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Thermal energy is transferred between objects when they have?
A. the same mass
B. different temperatures
C. the same kinetic energy
Answer:
B. different temperatures
Explanation:
Thats how they transfer energy because if one object is hotter then the other, the heat can still be transfer to the other object and make their temperatures the same
What is average acceleration? How does acceleration occur?
Average acceleration is the change in velocity with time.
Acceleration takes place when velocity changes with time. Velocity being a vector quantity may change in magnitude or direction any of the change results to acceleration
The pace at which a body's velocity varies is represented by average acceleration, which is a vector quantity.
What is average acceleration?The rate of change of velocity with respect to time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.
The formula for acceleration is;
[tex]\rm a = \frac{v-u}{t}[/tex]
u is the initial speed
v is the final speed
t is the time interval
a is the acceleration of ball
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A 23. 6 g ball of clay is thrown horizontally to the right at 40. 4 m/s toward a 1. 70 kg block sitting at rest on a frictionless surface. The clay hits and sticks to the block.
What is the speed of the block and clay right after the collision?
Answer in m/s to three significant figures
Answer:
0.142 m/s
Explanation:
You solve it by conservation of momentum.
Before the impact the total momentum is, considering right the positive direction,
[tex]m_1v_1+m_2v_2 =6\cdot10^-^3\times 40.4\ kg\cdot m/s + 1.7\times 0 \ kg\cdot m/s =242.4\cdot 10^-^3\ kg\cdot m/s[/tex]
After the impact, we have a single body of mass [tex]m_1+m_2[/tex] and thus a single value of speed, V.
[tex](m_1+m_2)V =1.703 kg \cdot V[/tex]
Since no external forces are applied, the two quantities are equal after the impact. That allows us to solve for V
[tex]V= (242.4\cdot10^-^3 \ kg\cdot m/s )\div (1.703\ kg)=142.337\cdot10^-^3 m/s = 0.142 m/s[/tex]
Identify the aspects of the pictured graph that are missing or contain errors.
Answer:
ooops ignore this it wont let me leave this screen it does this weirdly s
Explanation:
Consider a system consisting of three particles: m1 = 4 kg, vector v1 = < 10, -5, 15 > m/s, m2 = 9 kg, vector v2 = < -15, 5, -3 > m/s, m3 = 3 kg, vector v3 = < -24, 36, 18 > m/s.
a) what is the total momentum of this system?
b) what is the velocity of the center of mass of this system?
c) what is the total kinetic energy of this system?
d) what is the translational kinetic energy of this system?
e) what is the kinetic energy of this system relative to the center of mass?
one way to calculate krel is to calculate the velocity of each particle relative to the center of mass, by subtracting the center-of-mass velocity from the particle's actual velocity to get the particle's velocity relative to the center of mass, then calculating the corresponding kinetic energy, then adding up the three relative kinetic energies. however, there is a much simpler way to determine the specified quantity, without having to do all those calculations; think about what you know about the relationships among the various kinds of kinetic energy in a multiparticle system.
The answers to your questions are as listed below
A) The total momentum of the system is : < - 167, 133, 87 > kg m/s
B) Velocity of the center of mass of this system : < - 10.44 , 8.31, 5.44 > m/s
C) Total kinetic energy of the system : 5159.5 J
D) Translational kinetic energy of the system : 1660.84 J
E) kinetic energy relative to the center of mass : 3498.66 J
Given data :
m₁ = 4 kg , V₁ = < 10, -5, 15 > m/s
m₂ = 9 kg, V₂ = < -15, 5, -3 > m/s
m₃ = 3 kg V₃ = < -24, 36, 18 > m/s.
A) Determine the total momentum of the systemTotal momentum = Σ mv
= < 4*10 + 9*(-15) + 3*(-24), 4*(-5) + 9*5 + 3*36, 4*15 + 9 (-3) + 3*18 >
= < - 167, 133, 87 > kg m/s
B) Velocity at the center of mass of this systemVelocity = < - 167 / 16 , 133/ 16, 87/ 16 >
= < - 10.44 , 8.31, 5.44 > m/s
C) Determine the total kinetic energy of the systemTotal Kinetic energy = 1/2 m₁v₁² + 1/2 m₂v₂² + 1/2 m₃v₃² --- ( 1 )
where : v² = v₁² + v₂² + v₃²
therefore
Total kinetic energy = 700 + 1165.5 + 3294
= 5159.5 J
D) Determine the translational kinetic energy of the system
Translational kinetic energy ( Kcm ) = 1/2 ( m₁ + m₂ + m₃ ) * Velocity²
= 1/2 ( 16 ) * ( - 10.44² + 8.31² + 5.44² )
Hence translational kinetic energy = 1660.84 J
E) The Kinetic energy of the system relative to the center of mass
Krel = Ktotal - Kcm
= 5159.5 - 1660.84
= 3498.66 J
Hence we can conclude that the answers to your questions are as listed above.
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At what constant velocity must a spacecraft travel from earth if it is to reach the star in 3. 7 years, as measured by travelers on the spacecraft?
The constant velocity that the spacecraft must travel is : 3.49 * 10⁸ m/s
Given data :
Distance of star from earth = 4.3 light years
Observers time = 3.7 years
Determine the constant velocity the spacecraft must travelObservers time = 3.7 * 365 * 24 * 60 * 60
Distance of star from earth = 4.3 * 9.46 * 10¹⁵
The velocity the spacecraft must travel will be calculated using the equation
V = distance / time
= ( 4.3 * 9.46 * 10¹⁵ ) / ( 3.7 * 365 * 24 * 60 * 60 )
= 3.49 * 10⁸ m/s
Hence we can conclude that The constant velocity that the spacecraft must travel is : 3.49 * 10⁸ m/s
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Attached below is the missing detail related to the question
The constant velocity must the spacecraft travels from the earth will be 3.49×10⁸ m/sec.
What is velocity?The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.
The given data in the problem is
Distance of earth from stars = 4.3 light year
The given time = 3.7 year
One year converted into the second as;
[tex]\rm 1 \ year = 3.7 \times 365 \ days \ \times 24 \ hour \times 60 \ minute \times 60 \ sec \\\\ 1 year = 116 \times 10^6 \ sec[/tex]
1 light-year into a kilometer as;
[tex]\rm 4.3 \ light year = 4.3 \times 9.46 \times 10^{15 metre} \\\\[/tex]
At what constant velocity must a spacecraft travel from the earth if it is to reach the star in 3. 7 years,
The velocity of the spacecraft's travel from the earth will be;
[tex]\rm V = \frac{d}{t} \\\\ V= \frac{4.3 \times 9.46 \times 10^{15}}{3.7 \times 365 \times 24 \times 60 \times 60 } \\\\\ V= 3.49 \times 10^8 \ m/sec[/tex]
Hence the constant velocity must the spacecraft travels from the earth will be 3.49×10⁸ m/sec.
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Use work and energy to find an expression for the speed
of the block in the following figure just before it hits the
floor.(Figure 1)
Since the kinetic energy is equal to the potential energy then the speed of the object is √2gh.
Work and energyThe term work refers to the product of force and distance moved by force while energy is the ability to do work. The question is incomplete as the figure is not shown.
We know that the kinetic energy is equal to the potential energy hence;
mgh = 1/2mv^2
gh= 1/2v^2
v = √2gh
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A car’s tire rotates 5.25 times in 3 seconds. What is the tangential velocity of the tire?
The tangential velocity of the car's tire is the product of the angular velocity and radius of the car's tire which is 11(r) m/s.
Angular velocity of the tireThe angular velocity of the tire is the rate of change of angular displacement of the tire with time.
The magnitude of the angular velocity of the tire is calculated as follows;
ω = 2πN
where;
N is the number of revolutions per secondω = 2π x (5.25 / 3)
ω = 11 rad/s
Tangential velocity of the tireThe tangential velocity of the car's tire is the product of the angular velocity and radius of the car's tire.
The magnitude of the tangential velocity is caculated as follows;
v = ωr
where;
r is the radius of the car's tirev = 11r m/s
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A current of 5. 0 amperes is passing through a piece of wire. Determine how long it takes for 30 coulombs of charge to pass through this wire
The time taken for the charge to pass through the cross-section of the wire is 6.0s.
Given the data in the question;
Current; [tex]I = 5.0A[/tex]
Charge; [tex]Q = 30C[/tex]
Time; [tex]t = \ ?[/tex]
CurrentCurrent is simply the rate of flow of charged particles i.e electrons caused by EMF or voltage.
If a charge passes through the cross-section of a conductor in a given time, the current I is expressed as;
[tex]I = \frac{Q}{t}[/tex]
Where Q is the charge and t is time elapsed.
We substitute our given values into the expression above to determine the time it took the charge to pass through this wire.
[tex]I = \frac{Q}{t}\\ \\5.0A = \frac{30C}{t} \\\\t = \frac{30C}{5.0A} \\\\t = 6.0s[/tex]
Therefore, the time taken for the charge to pass through the cross-section of the wire is 6.0s.
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The time taken by 30 coulombs of charge to pass through this wire is 6 seconds.
What is current?The pace at which electrons flow past a point in an electrical circuit is referred to as current.
Current is the ratio of charge and time. Given that the current is equal to 5.0 Amp, while the charge is equal to 30C. Therefore, the time will be equal to,
[tex]I=\dfrac{Q}{t}\\\\5 =\dfrac{30}{t}\\\\t = 6\rm\ sec[/tex]
Hence, the time taken by 30 coulombs of charge to pass through this wire is 6 seconds.
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Please help, question is the picture.
Answer:
Mirror angle:
0°
25°
50°
Angle of incidence (θi):
0°
25°
50°
Angle of reflection (θr)
0°
25°
50°
Explanation:
The mirror angle is the same as the angles of incidence and reflection.
Brainlist Pls!
What is the new period if the pendulum is taken to a planet that has 4 times the mass and 4 times the radius of earth
The new period of the pendulum when it is taken to the new planet is double of its period on Earth.
Period of a pendulumThe period of a pendulum is given by the following formula;
[tex]T = 2\pi \sqrt{\frac{l}{g} }[/tex]
where;
g is acceleration due to gravity of the pendulumL is length of the pendulumAcceleration due to gravity of the new planetThe acceleration due to gravity of the new planet is calculated as follows;
[tex]g_E = \frac{GM_E}{R_E^2} = 9.81 \ m/s^2 \\\\g(new \ planet) = \frac{G(4M_E)}{(4R_E)^2} = \frac{4GM_E}{16R_E^2} = \frac{GM_E}{4R_E^2} = \frac{9.81}{4} = 2.45 \ m/s^2[/tex]
New period of the pendulum[tex]T = 2\pi \sqrt{\frac{l}{g} } \\\\T =\frac{2\pi \sqrt{l} }{\sqrt{g} } \\\\T_1\sqrt{g_1} = T_2\sqrt{g_2} \\\\T_E\sqrt{g_E} = T\sqrt{g} \\\\T = \frac{T_E\sqrt{g_E}}{\sqrt{g} } \\\\T = \frac{T_E \times \sqrt{9.81} }{\sqrt{2.45} } \\\\T = 2T_E[/tex]
Thus, the new period of the pendulum when it is taken to the new planet is double of its period on Earth.
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7. Why are cooking pans made of aluminum? {Explain using the specific heat value of
aluminum} it conducts heat well high thermal energy
A sound wave passes from air into water and then into steel. With each change in medium, what happens to the speed of the wave?.
Answer:
Explanation:
You need to consider the index of refraction.
index of refraction of air: 1.00
index of refraction of water: 1.33
Index of refraction of steel: 2.75681
If the sound wave passed from air into water, it passes from a lower index to a higher index of refraction.
As the wave travels into the more dense medium (higher n), it slows down. Therefore from air to water (lower to higher) it slows down, and from water to steel (n of steel is higher that n of water) therefore it slows down even more.
Which level instruments operate on the principle of generating a signal and then measuring the time required for the signal to reflect off the process fluid back to the transmitter
One of the most crucial devices for electronics and communication is the signal generator. For several reasons, including testing, debugging, and designing, it is utilized to produce various types of signals and frequencies.
What instruments operate principle of generating a signal?Engineers create electronic signals using signal generators, which can be analogue or digital, to test circuit designs. Signal generators come in a wide variety of forms with various characteristics and uses. The most typical signal generator kinds and their distinctive qualities are listed below.
Therefore, radar level instruments operate on the principle of generating a signal and then measuring the time required for the signal to reflect off the process fluid back to the transmitter.
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In what type of system is mechanical energy lost to its surroundings?
A. internal
B. external
C. closed
D. open
Answer:
open
Explanation:
in open system mechanical energy is lost to its surroundings
A magnifier allows one to look at a very near object by forming an image of it farther away. The object appears larger. To create a magnifier, one would use a.
In order to create a magnifier in convex lens, you should choose a short focal length that is lesser than 1 meter.
What is a convex lens?A convex lens is also referred to as converging lens and it can be defined as a type of lens that typically causes parallel rays of light with respect to its principal axis to come to a focus (converge) and form a real image.
In Science, a magnifier refer to an optical instrument that allow us to look at a very near object because its image is generally formed farther away. Thus, the image of the object appears to be much larger.
In this context, you should choose a short focal length that is lesser than 1 meter when you want to create a magnifier in convex lens because the nearer the object is to the lens, the larger would be the image formed.
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What units are appropriate to express specific heat?.
Answer:
The units for specific heat can either be joules per gram per degree (J/goC) or calories per gram per degree
Explanation:
a
13. Chemical energy is a form of___________
energy.
Answer:
Potential energy.
Explanation:
Batteries are a form of chemical energy which is stored in the bonds of molecules contained within the battery acid, batteries are a form of potential energy making chemical potential energy too.
If you have 10 ounces of meat, what percentage of the calories comes from fat if the meat is 90% lean?
Answer:
There are 602 calories in 10 ounces of Ground Beef (85% Lean / 15% Fat). serving sizes of Ground Beef
Explanation:
hope this helps if not please let me now
Which best describes an action related to interdependence?
A. limiting the amount of fish harvested to ensure future availability
B. finding methods for extracting oil with minimal damage to the environment
C. using calculations to ensure that lumber is used efficiently
D. predicting the profits from selling metal that is extracted from ore
[tex]\small\color{blue}{⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰}[/tex]
Which best describes an action related to interdependence?
A. limiting the amount of fish harvested to ensure future availability
B. finding methods for extracting oil with minimal damage to the environment
C. using calculations to ensure that lumber is used efficiently
D. predicting the profits from selling metal that is extracted from ore
[tex]\small\color{blue}{⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰}[/tex]
The living things in an ecosystem are interdependent. This means that living things depend on their interactions with each other and also nonliving things for survival. For example, a tree depends on sunlight for energy and food.
[tex]\small\color{blue}{⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰}[/tex]
-PoliteCat
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ᴄʟɪᴄᴋ ᴛʜɪs ↓
A car is traveling in a race. The car went from the initial velocity of 35 m/s to the final velocity of 65 m/s in 5 seconds
What is the acceleration?
- 13 m/s
om/
6 m/s
13 m/s
Answer:
6m/s
Explanation:
a = (v-u)/t
acceleration, a
initial velocity, u
final velocity, v
time, t
substitute values and you'll get the answer
Answer:
6 m/s
Explanation:
HELP MEEEE, question number 5
Explanation:
The gravitational potential energy of an object is given by GPE=mgh
where m is the mass of the object, g is the gravitational field strength (9.81 m/s² on earth) and h the height it is lifted at above the GPE reference ground.
Mass 1 has a GPE=m¹gh=(2)(9.81)(10)=196.2 Joule
Mass 2 has a GPE=m²gh=(4)(9.81)(10)=392.4 Joule
Object 2 has more potential energy and it makes sense since it's heavier
Hope this helps :))
The reflection of a 10. 0 cm object appears to be 18 cm tall and 9 cm behind the mirror. What distance is the object from the mirror? cm.
The distance is the object from the mirror will be 5cm.
What is a mirror equation?A mirror equation is an equation that relates object distance and image distance to focal length. It is often referred to as a mirror formula.
The object distance in a spherical mirror is the distance between the object and the pole of the mirror (u).
The given data in the problem is;
Image height = 18cm
Object height = 10cm
u is the object distance
v is the image distance = 9 cm
From the symmetry of the triangle;
[tex]\frac{image \ height }{object \ height} = \frac{v}{u} \\\\ \frac{18 }{10} = \frac{9}{u}\\\\ \rm u=\frac{90}{8} \\\\ u = 5\ cm[/tex],
Hence the distance is the object from the mirror will be 5cm.
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Which of these circuits has a voltmeter?
O
(A)
(B)
(C)
(D)
(E)
ОА А
OBB
Ос. с
ODD
О Е Е
Answer:
I think is o or mavey it could be D
12. Tom has two pendulums with him. Pendulum 1 has a ball of mass 0.1 kg attached to it and has a length of 5 m. Pendulum 2 has a ball of mass 0.5 kg attached to a string of length 1 m. How does mass of the ball affect the frequency of the pendulum? Which pendulum will have a higher frequency and why?
Show all of your work.
According to Hooke 's law
[tex]\\ \rm\rightarrowtail \nu=k\sqrt{\dfrac{\ell}{m}}[/tex]
[tex]\\ \rm\rightarrowtail \nu\propto \dfrac{1}{\sqrt{m}}[/tex]
Hence lower the mass higher the frequency
First ball will have a higher frequency