The car is going at speed of 3.82 m/s at the end of the breaking period and the car traveled the distance from the start is 25.33 m.
What is Acceleration?The rate of change in an object's velocity concerning time is known as acceleration in mechanics. The vector quantity of accelerations. The direction of the net force that is acting on an object determines its acceleration.
Since acceleration has both a magnitude and a direction, it is a vector quantity. Velocity is a vector quantity as well. The definition of acceleration is the change in velocity vector over a time interval divided by the time interval.
According to the question, the given values are :
Time, t₁ = 4.9 s
Time, t₂ = 1.60 s
Acceleration, a₁ = 1.4 m/s²
Acceleration, a₂ = -1.9 m/s²
Initial Velocity, u = 0 m/s
(a)
By the Equation of motion,
v = u + a₁t₁
v = 0 + (1.4)(4.9)
v = 6.86 m/s.
Now, the velocity of the car at the end of the breaking period :
v' = v + a₂t₂
v' = 6.86 + (-1.9)(1.60)
v' = 3.82 m/s.
(b)
s₁ = ut₁ + 1/2 a₁t₁²
s₁ = 0 + 1/2 (1.4)(4.9)²
s₁ = 16.8 m.
Now for the decelerated motion :
s₂ = vt₂+1/2 a₂t₂²
s₂= 6.86(1.60) + 1/2 (-1.9)(1.60)²
s₂ = 8.53 m.
So, total distance covered from the start, D :
D = s₁ + s₂
D = 16.8 + 8.53
D = 25.33 m.
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A golfer strikes her tee shot with the following velocities, vx = 106 m/s & vy = 66.2 m/s. a. What is the velocity of flight? b. The time of flight? c. The horizontal distance traveled?
Answer:
a) V ≈ 125 m/s; b) Δt = 13.24 s; c) ΔS ≈ 1450 m
Explanation:
a) We have just to calculate the vector resultant.
V² = 106² + 66.2²
V² = 15618.44
V ≈ 125 m/s
b) The time of flight is equal to the time to reach the maximum height summed to the time to reach the land.
In vertical:
V = V₀ + a * t
V = 66.2 - g * t
0 = 66.2 - 9.8 * t
t ≈ 6.76 s
So: Δt = 13.24 s
c) In horizontal:
V = ΔS / Δt
106 = ΔS / 13.52 ⇒ ΔS = 106 * 13.52
ΔS = 106 * 13.52
ΔS = 1433,12
ΔS ≈ 1450 m
What is the angular speed of a satellite in a geo-synchronous orbit around the Earth?
A geostationary orbit can be achieved only at an altitude very close to 35,786 kilometres (22,236 miles) and directly above the equator. This equates to an orbital speed of 3.07 kilometres per second (1.91 miles per second) and an orbital period of 1,436 minutes, one sidereal day.
While scuba diving, Alec is rising toward the surface of the water at 6.0 meters per minute. If his velocity remains constant, how much time will it take Alec to rise 8.4 meters?
Given data
*Alec is rising towards the surface of the water is u = 6.0 m/min
*The given distance is d = 8.4 m
The formula for the time taken by the Alec to rise is given as
[tex]t=\frac{d}{u}[/tex]Substitute the values in the above expression as
[tex]\begin{gathered} t=\frac{8.4}{6.0} \\ =1.4\text{ minute} \end{gathered}[/tex]Hence, the time is taken by Alec to rise is t = 1.4 minutes
Find the charge Q that requires 96J of energy to be moved through a potential difference of 16V ?
According to the given statement the charge Q is 6 coulomb that requires of energy to be moved through a potential difference .
What is an example of a potential difference?Note that whenever a voltage is stated, it refers to the difference in potential between two places. Every battery, for instance, has two terminals, and its voltage seems to be the difference in potential between them.
How is potential difference measured?The voltmeter is a tool used to measure potential difference. Some varieties, like voltmeters, feature a pointer on a dial, but digital displays are more common. To detect the potential difference across a circuit element, you must connect a voltmeter in parallel, unlike an ammeter.
Briefing:W is work done
V is potential difference
Work done
W = 96J
V = 16
W=Q×V
Q=W÷V
Q = 96 ÷ 16
Q = 6 Coulomb.
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Predict the order of precipitation of Cl-, CO32-, Br- upon the addition of
AgNO3.
Ksp
AgCl
1.8 x 10- 10
Ag2CO3
8.1 x 10- 12
AgBr
5.0 x 10- 13
Answer:
I am not understanding your question
When work is done by a force on an object, then which of the following are true?
O The mass of the object always increases.
O The object does negative work on the force.
O The speed of the object always increases.
O The work done will be equal to the change of the total energy of the object plus energy appearing as heat, light,
O The energy lost to friction is equal to the amount of work done by the force.
A 2.0 F capacitor is required. What should the area of the plates be if they are to be separated by a 4.5 mm air gap?
If there are six H2O molecules, then the notation is 6H2O .
How many atoms of hydrogen are there?
b. How many atoms of oxygen are there?
c. How many of each type of atom would there be if these six water molecules underwent electrolysis?
If there are six water molecules, the following applies;
There are 12 atoms of hydrogenThere are 6 atoms of oxygenWhat is a molecule?A molecule is the smallest particle of a specific element or compound that retains the chemical properties of that element or compound i.e. two or more atoms held together by chemical bonds.
Atoms of an element are usually shown in the chemical or molecular formula, which is a notation indicating the number of atoms of each element present in a compound.
According to this question, six water molecules are given as follows: 6H₂O
This means that there are 6 × 2 = 12 atoms of hydrogen and 6 × 1 = 6 atoms of oxygen in the 6 molecules of water.
Electrolysis is the chemical change produced by passing an electric current through a conducting solution or a molten salt.
If six molecules of water undergoes electrolysis, there would be 12 atoms of hydrogen and 6 atoms of oxygen.
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Which example BEST illustrates hindsight bias?
Please choose the correct answer from the following choices, and then select the submit answer button.
Answer choices
A: You predicted you would earn 80 percent on your test, but you only earned 70 percent.
B: You meet a person on the street and feel an instant attraction. Later on, you tell a friend about the encounter and state that you just met the person you will marry.
C: You believe that previously infertile couples will become pregnant after adopting a child.
D: You just found out that the homecoming queen and captain of the football team from your high school are splitting up. You think back to the last time you saw them together and have the feeling that you could have predicted their breakup.
Answer:
A
Explanation:
you predicted it in the past and assumed the outcome of your result and they was a difference of 10 percent
A 10-kg iron ball is dropped onto a pavement from a height of 150 m . Suppose that half of the heat generated goes into warming the ball. What is the temperature increase of the ball. (The specific heat capacity of iron is 450 J/kg ⋅ ∘C . Use 9.8 N/kg for g .).
The temperature increase of the ball is 1.63 ⁰C.
What is the potential energy of the ball?The potential energy possessed by the ball at the given height is calculated as follows;
P.E = mgh
where;
m is mass of the ballh is the heightg is acceleration due to gravityP.E = (10) x (9.8) x (150)
P.E = 14,700 J
If half of the energy of the ball is converted into heat energy, then the amount of heat capacity is calculated as follows;
Q = 0.5(P.E)
Q = 0.5 x 14,700
Q = 7,350 J
The increase in the temperature of the temperature of the ball is calculated as follows;
Q = mcΔθ
where;
c is specific heat capacity of ironΔθ is increase in temperatureΔθ = Q/mc
Δθ = (7350) / (10 x 450)
Δθ = 1.63 ⁰C
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The primary of a transformer connected to 170 V has 10 turns. The secondary has 150 turns. Find the output voltage. This is a step-up transformer.
The output voltage of a step-up transformer is 2550volts.
A transformer is an electrical energy transfer device that steps up or steps down the voltage from one alternating-current circuit to one or more other circuits.
We are given that,
The primary voltage of a transformer = V₁ = 170V
The number of turns of coils of primary transformer = N₁ = 10turns
The number of turns of coils of secondary transformer = N₂ = 150 turns
Thus , to get the output voltage V₂ of a step-up transformer, we can use the formula,
[tex]\frac{V_{2} }{V_{1} } = \frac{N_{2} }{N_{1} }[/tex]
Where, V₁ is primary voltage of a transformer , V₂ is the output voltage (secondary) of a transformer , N₁ & N₂ are the number of turns of coils primary and secondary transformer.
Therefore , after putting the values in above equation we can get,
[tex]V_{2} = \frac{N_{2} }{N_{1} } V_{1}[/tex]
[tex]V_{2} =[/tex] [tex]\frac{150}{10} 170volts[/tex]
[tex]V_{2} =[/tex] [tex]2550 volts[/tex]
Therefore, the output voltage of the step-up transformer would be 2550 volts.
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Is it safe to stay inside a vehicle during a heavy storm?
Answer:
Like trees, houses, and people, anything outside is at risk of being struck by lightning when thunderstorms are in the area, including cars. The good news though is that the outer metal shell of hard-topped metal vehicles does provide protection to those inside a vehicle with the windows closed.
Answer: Depends
Explanation:
You should be good if you have proper shelter and protection to maintain safety.
If it's hail, it's probably best to find shelter and I recommend putting a thick blanket on the windows so they don't burst.
With an average acceleration of - 1.4 m/s, how long will it take a cyclist to bring a bicycle with an initial speed of 12.8 m/s to a complete stop
9.14 s long it will take a cyclist to bring a bicycle with an initial speed of 12.8 m/s to a complete stop.
What does "acceleration" mean in the example?Depending on whether an object is moving much faster, slower, or in a different direction, its speed may change. Examples of acceleration include a falling apple, the moon orbiting the earth and a car which has stopped at a stop sign.
Which four forms of acceleration are there?Uniform acceleration, non-uniform acceleration, and average acceleration are the three different forms of accelerated motions.
Briefing:a = -1.4 m/s²
v[tex]_i[/tex] = 12.8 m/s²
v[tex]_f[/tex] = 0
Δt = ?
We use formula
a = v[tex]_f[/tex] - v[tex]_i[/tex]/t
-1.4 = 0 - 12.8/t
t = 9.14 s
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A car moved 59 km north and 59 km south. What is the cars displacement
Answer:
Explanation:
40 km/h
WILL GIVE BRAINLIEST TO CORRECT ANSWER
Answer:
birr i am not smart i d know what to do
Explanation:
pls mark as brainliest
Please help!⚠️ Find the direction of this vector: -22.2 m, 12.6 m
Answer: The direction of the resultant can be determined by finding the angle that the resultant makes with either the north-south or the east-west vector. The diagram at the right shows the angle theta (Θ) marked inside the vector addition triangle. This angle theta is the angle that the resultant makes with west.
Explanation: Hope this helps.
Answer:
Magnitude=25.5
Direction=-60.4
Explanation:
[tex]\sqr\sqrt{ x^{2} +y^{2} \\\\[/tex]=m
[tex]Tan^{-1} (y/x)[/tex] = D
A wire of length l is drawn such that its diameter is reduced to half its orginal diameter. if the initial resistance of the wire were 10 ohm, its resistance would be
a) 40 ohm
b) 60 ohm
c) 120 ohm
d) 160 ohm
A 30.0-mg oil drop carrying a charge of +3.2 μC passes undeflected through a region in which there is a uniform, constant electric field.
Determine the Electric field Ey.
A 30.0-mg oil drop carrying a charge of +3.2 μC passes undeflected through a region in which there is a uniform, constant electric field. The Electric field is mathematically given as
98 N/C
This is further explained below.
What is the Electric field?Generally, Generally, the equation for Electric field the is mathematically given as
q E=m g
q=chargeE= electric fieldm=massg= gravityTherefore
[tex]&\left(3 \times 10^{-6} \mathrm{C}\right) E=\left(30 \times 10^{-6} \mathrm{~kg}\right)\left(9.8 \mathrm{~m} / \mathrm{s}^2\right) \\[/tex]
E=98N/C
In conclusion, The force of gravity always pulls in a downward direction; hence, the electric field will be exerted in an upward direction. As a result, the value is positive.
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A load of 15N is placed on a scale pan attached to a spring balance. This load causes an extension of 5cm in the spring what load must be placed on the spring balance an extension of 8cm? What is the spring constant of the spring
A load of 24N must be placed on the spring balance for an extension of 8cm and the value of spring constant is calculated as 3N[tex]cm^{-1}[/tex].
How can you figure out how long a spring will extend?The lengthened portion of an object, such as a spring, is known as its extension.
F = ke
The force in newtons is F. (N)
The “spring constant” (k) is expressed in newtons per meter (N/m).
E is the length in meters (m)
This equation is valid as long as the proportionality limit is not exceeded.
What is the proportionate relationship between the spring’s length extension?The extension for a particular spring and other elastic items is inversely proportional to the applied force. For instance, the extension doubles if the force does.
Case 1Kx = 15N
K = 15/x
= 15/5
K = 3N[tex]cm^{-1}[/tex]
Case 2dx = 8cm
The value of spring constant is = 3N[tex]cm^{-1}[/tex]
So, 3(8) = 24
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Lisa is solving a vector problem, and the answer she arrives at is “17.4 m/s at 11°.” Why is this answer, as it is currently written, not complete?
This answer which is currently written is not complete because solving a vector problem, we should also mention the direction correctly, but here the direction is not mentioned.
A vector is a quantity or phenomenon that has two impartial houses, value and course. The term also denotes the mathematical or geometrical illustration of the sort of quantity. Examples of vectors in nature are pace, momentum, pressure, electromagnetic fields, and weight. A vector may be located in a square coordinate device, as illustrated here. The square coordinate notation for this vector.
vector, in physics, is a quantity that has each importance and course. it's far usually represented via an arrow whose direction is similar to that of the amount and whose period is proportional to the quantity's magnitude. although a vector has magnitude and direction, it does not have a function.
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Making progress by conducting studies for research, project or article and presenting these progress to scientists.
Which category does this belong to? :
A. Science
B. Technology
C. Reading
D. Engineering
Sorry I didn't know which Subject to pick.
Making progress by conducting studies for research, project or article and presenting this progress to scientists represent a category that belongs to Science (Option A).
What is the meaning of science?Sciences can be defined as a body of empirical knowledge whose development is based on the presentation of results from experiments in peer-reviewed publications and the generation of projects to investigate different issues of the real world.
Therefore, we can conclude that Science is a body of info based on the transference of knowledge which involves developing projects or writing scientific articles (Option A).
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module 1 question 10
A student drove to the university from her home and noted that the odometer on her car increased by 14.0 km. The trip took 20.0 min.
(a) What was her average speed?
km/h
(b) If the straight-line distance from her home to the university is 10.3 km in a direction 25.0° south of east, what was her average velocity?
km/h (25° S of E)
(c) She returned home by the same path. The total time to leave home, travel to the university, and return home was 7 h 30 min. What were her average speed and velocity for the entire trip?
average speed
km/h
average velocity
km/h
(a) Average speed is 42 km/h
(b) Average velocity is 31.21 km/h (25° S of E)
(c) Average speed and average velocity are 3.73 km/h and 0 km/h respectively.
The average speed is calculated by distance travelled divided by time. The distance travelled is 14.0 km and time taken for the trip is 20.0 min.
The time taken for the trip in hours = 20.0/60 = 0.33 hr
Average speed = 14.0/0.33 = 42 km/h
The displacement is the shortest distance between two points. For this trip the displacement is 10.3 km in the direction 25.0° south of east. Then the average velocity is calculated by change in displacement divided by time.
Average velocity = (10.3-0)/0.33 = 31.21 km/h (25° S of E)
Average speed of the total trip = (14 + 14)/7.5 = 3.73 km/h
Average velocity of the total trip = (Final position - Initial position)/time = (0 - 0)/7.5 = 0 km/h
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A 25kg child resting at the top of a 2 meter slide has how much potential energy?
Potential energy of a child at the top is 490 J.
Potential energy, U = mgh
U = potential energy
m = mass of an object, given = 25kg
g = acceleration due to gravity, given = 9.8 m/[tex]s^{2}[/tex]
h = height of an object, given = 2 meter
Put the values in potential energy formula, U = mgh
U = mgh
U = 25 × 9.8 × 2
U = 490 J
Hence, Potential energy of a child at the top is 490 J.
Potential energy is the type of energy, which is product of mass of an object, acceleration due to gravity and height of an object where it is placed. Its S.I. unit is joule and is represented by J.
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Help!! Vector V is 448 m long in a 224 direction. vector W is 336 m long in a 75.9 direction. Find the direction of their vector sum.
The Direction of the vector sum of the two vectors V and W is resulted as 240.84 m toward + x.
What is a vector?A vector is a quantity or phenomenon with independent components of magnitude and direction. The expression can also be used to describe a quantity's geometric or mathematical representation.
The following are the x and y axes for the supplied vector:
Vector V in x direction;
[tex]$$\begin{aligned}&\mathrm{V}_{\mathrm{x}}=\mathrm{V} \cos \theta \\&\mathrm{V}_{\mathrm{x}}=448 \cos \left(224^0\right) \\&\mathrm{Vx}=-322.26\end{aligned}[/tex]
Vector V in y direction;
[tex]\begin{aligned}&V_y=V \sin \theta \\&V_y=448 \times \sin 224^0 \\&V_y=-311.2\end{aligned}[/tex]
Vector W in x direction;
[tex]W_x = 336 \times cos(74.9^0)[/tex]
[tex]W_x = 81.86[/tex]
Vector W in y direction;
[tex]\begin{aligned}&\mathrm{W}_{\mathrm{y}}=336 \times \sin 75.9 \\&\mathrm{W}_{\mathrm{y}}=325.88\end{aligned}[/tex]
The resultant vector in the x direction is;
[tex]\begin{aligned}&\Sigma X=-322.26+81.86 \\&\Sigma X==-240.4\end{aligned}[/tex]
The resultant vector in the y direction is;
[tex]\begin{aligned}&\Sigma Y=-311.2+325.88 \\&\Sigma Y=14.68\end{aligned}[/tex]
The resultant vector is found as;
[tex]\begin{aligned}&\mathrm{R}=\sqrt{(-240.4)^2+(14.68)^2} \\&\mathrm{R}=240.84 \mathrm{~m}\end{aligned}[/tex]
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How would the Sun’s effect on Earth change if the Sun was half its mass?
A The pull of gravity from the Sun would only be half as strong.
B The pull of gravity from the Sun would be a quarter of what it was.
C The pull of gravity from the Sun would not change.
D The pull of gravity from the Sun would only be twice as strong.
The Sun’s effect on Earth change if the Sun was half its mass, the pull of gravity from the Sun would only be half as strong and is denoted as option A.
What is Gravity?This is referred to as the universal force of attraction which acts on all matters and is dependent on some parameters such as mass etc.
The increase in mass denotes a corresponding increase in gravity and vice versa which is therefore the reason why if the Sun was half its mass, then the pull of gravity from the Sun would only be half as strong.
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module 1 question 16
A soft tennis ball is dropped onto a hard floor from a height of 1.95 m and rebounds to a height of 1.44 m. (Assume that the positive direction is upward.)
(a) Calculate its velocity just before it strikes the floor.
m/s
(b) Calculate its velocity just after it leaves the floor on its way back up.
m/s
(c) Calculate its acceleration during contact with the floor if that contact lasts 3.50 ms.
m/s2
(d) How much did the ball compress during its collision with the floor, assuming the floor is absolutely rigid?
m
The velocity of the ball just before it strikes the floor is -6.18 m/s. The velocity of the ball just after it leaves the floor is 5.3 m/s. Acceleration during contact with the floor is 3280 m/s^2. The compression of the ball during its collision with the floor is -9.42*10^-4 m
(a) The ball dropped from a height 1.95 meters. The velocity just before it strikes the floor is calculated by the kinematic equation. The initial velocity is zero.
v^2 = u^2 + 2aS
v^2 = 0 + 2*-9.8*(0-1.95)
V = -sqrt(38.22) = -6.18 m/s
(b) The velocity just after it leaves the floor on its way back up. The initial velocity is zero in this case. The ball rebounds to a height of 1.44 m.
v^2 = u^2 + 2aS
v^2 = 0 + 2*-9.8*(1.44-0)
v = sqrt(28.22) = 5.3 m/s
(c) The acceleration during contact with the floor is calculated where time is 3.50 ms.
Time in seconds = 3.5/1000 = 0.0035
a = change in velocity/time
a = (5.3 m/s - -6.18 m/s)/0.0035
a = 11.48/0.0035 = 3280 m/s^2
(d) Assuming the floor is absolutely rigid. The amount which the ball compress during its collision with the floor is given as,
v^2 = u^2 + 2aS
S = (v^2 - u^2)/2a
S = (-6.18 m/s - 0)/2*3280 m/s^2
S = -9.42*10^-4 m
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Using your scientific calculator, what is the Common logarithm for the 379? What does the answer mean?
Answer:
Explanation:
In mathematics, the common logarithm is the logarithm with base 10. It is also known as the decadic logarithm and as the decimal logarithm. Natural logarithm of 379 is 5.9375362050824 Decimal logarithm of the number 379 is 2.5786392099681 Sine of 379 is 0.9055655749933. Cosine of the number 379 is -0.42420630521841. Tangent of the number 379 is -2.1347291727006
The Common logarithm for the 379 using a scientific calculator is 2.58. It means that 2.58 is the value of [tex]log_{10}[/tex] ( 379 ).
[tex]log_{a}[/tex] ( x ) = [tex]log_{10}[/tex] ( x ) / [tex]log_{10}[/tex] ( a )
This is how it should be calculated using a scientific calculator if you want to find the value of x for a different base. The commonly used base is 10 because in olden days logarithmic tables were used instead of calculators.
In order to reduce the calculations to basic formats such as addition and subtraction, base 10 was used. So calculators were designed in such a way that if you use log of any number it is the value of log with a base of 10.
Therefore, the Common logarithm for the 379 using a scientific calculator is 2.58. It means that 2.58 is the value of [tex]log_{10}[/tex] ( 379 ).
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A spacecraft orbits an unknown planet at a distance of 52 * 10 ^ 7 m from its center The period of its orbit is 52 hoursWhat is the mass of the planet ?
Answer:
m V^2 / R = G M m / R^2
M = R V^2 / G balancing forces
V = 2 pi R / T speed of craft
M = 4 pi^2 R^3 / (G * T^2) substituting for V
M = 4 pi^2 * 52E21 / (6.67E-11 * 1.30E7) = 39.5 * 52 / (6.67 * 1.3) * 10^25 kg
M = 2.37E27 kg
note mass of earth = 5.98E24 kg - should check mass obtained
Compute the average acceleration during the time interval t=0 to t=10s .
Express your answer in meters per second squared to two significant figures
The average acceleration during the time interval t=0 to t=10s is 1.67 m/s².
What is average acceleration?
The average acceleration of an object is the rate of change of velocity of an object with time.
Mathematically, the average acceleration of an object is given as;
a = Δv/Δt
a = (v₂ - v₁)/(t₂ - t₁)
where;
v₂ is the final velocityv₁ is the initial velocityt₂ is the final time of motiont₁ is the initial time of motionFrom the graph,
the initial velocity at time of 0 second = 0 km/h
the final velocity at time of 10 seconds = 60 km/h = 16.67 m/s
the initial time = 0 s
the final time = 10 s
The average acceleration of the car is calculated as follows;
a = (16.67 m/s - 0 m/s) / (10 s - 0 s)
a = 1.67 m/s²
Thus, the average acceleration of the car increases with increase in the rate of change of displacement with time.
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Effect of the amount of water on bead plant growth
A pot of water is heated using a camping stove. The stove supplies 115,000 J of energy to the 0.54 kg of water. Given that the specific heat.
what is the amount of water on bead plant growth?If a plant's soil has too much water, the roots can rot, and the plant can't get enough oxygen from the soil. If there is not enough water for a plant, the nutrients it needs cannot travel through the plant. A plant cannot grow if it doesn't have healthy roots, so the proper balance of water is key when growing plants. Water level significantly affected seed germination and seedling establishment. The wet soil treatment germination rate (83%) was much higher than the waterlogged (56%) and submerged (44%) treatments. As water emerges or evaporates between the plant's stomata, water is pushed up from the soil through the roots and into the plant. Water conveys with its minerals and nutrients from the soil that are vital for plant growth.
so we can conclude that A pot of water is heated using a camping stove. The stove supplies 115,000 J of energy to the 0.54 kg of water. Given that the specific heat.
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