Answer:
Chemical reactions are represented on paper by chemical equations. For example, hydrogen gas (H2) can react (burn) with oxygen gas (O2) to form water (H20). The chemical equation for this reaction is written as: The '+' is read as 'reacts with' and the arrow '' means 'produces'.
Explanation:
hope this helps
Drag each tile to the correct location.
An aspect of climate change involving cloud cover is one example of a negative feedback loop. Complete the steps of this negative feedback
loop.
increased formation
of clouds
decreased temperatures
increased evaporation
from oceans
increased carbon dioxide in
atmosphere
increased greenhouse effect
and warmer temperatures
1
+
increased precipitation
Edmentum. All rights reserved.
Answer:
Look at the image please
Explanation:
Copmared with a sound of 60 decibles a sound of 80 decibles has an intesity what times greater
According to sound power level, 80 decibel sound has greater intensity.
We need to know about sound power levels to solve this problem. The sound power level can be defined by a decibel unit. The decibel unit is proportional to the logarithm intensity ratio. It can be written as
dB = 10 log(I1 / I0)
where dB is sound power level, I1 is sound intensity and I0 is reference sound intensity (10¯¹² W/m²)
From the question we know that
Ia = 60 dB
Ib = 80 dB
Because the decibel unit is proportional to the logarithm intensity ratio, the sound with greater decibel will have greater intensity.
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In film photography, shutter speed is the length of time that the film is exposed to the scene you’re photographing. Similarly, in digital photography, shutter speed is the length of time that your image sensor “sees” the scene you’re attempting to capture.
Choose the option that represents the fastest shutter speed.
a. 1/1000 sec
b. 1/500 sec
c. 1/200 sec
d. 1/2000 sec
Answer:
a. 1/1000 sec
Explanation:
Shutter speed is the length of time that the film you’re photographing is being exposed to the scene in film photography. However, in digital photography, shutter speed is the length of time that the image sensor sees the scene the photographer is trying to capture.
For shutter speeds, the greater the denominator the higher the speed and the lower the denominator, the lower the speed.
Thus, the fastest one is option A.
The fastest shutter speed is represented as : ( D ) 1/2000 sec
To determine the fastest shutter speed we have to the consider the numerator and denominator values of the given expression representing the relationship between the shutter speed and length of time. The greater the denominator the faster the shutter speed.
Therefore from the options listed the fastest shutter speed would be 1/2000 sec
Hence we can conclude that the fastest shutter speed is represented as 1/2000 sec.
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A car is going through a dip in the road whose curvature approximates a circle of radius 200 m. At what velocity will the occupants of the car appear to weigh 20% more than their normal weight (or their normal weight times 1.2)?
Answer:
Explanation:
The solution along with the diagram can be found in the attachment. Feel free to raise doubts.
Centripetal force is defined as the force that allows the object to follow a curvature path.
The velocity will be 19.80 m/s.
Given:
Normal Force = 1.2 x weight
Normal Force = 1.2 Mg
Mass = Mass of car + occupants
Centripetal Acceleration = [tex]\text a_c[/tex]
Now, applying the equilibrium equation:
[tex]\begin{aligned} \sum \text F&= \text m \times \text a_c\\\\\text F_n - \text{mg} &= m \times \text a_c\\\\1.2 \text{Mg} - \text{Mg} &= m \times \text a_c\\\\\text a_c &=0.2 \;\text g\\\end[/tex]
Now, substituting the value in the formula:
[tex]\begin {aligned} \text a_c &=\dfrac{\text v^2}{\text r}\\\\0.2 \text g &= \dfrac {\text v ^2}{\text r}\\\\\text v &= \sqrt{0.2 \times 9.8 \times 200}\\\\\text v &= 19.80 \;\text {m/s}\end[/tex]
Thus, the velocity will be 19.80 m/s.
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AHH please help-
all light can be seen
or
light can travel through materials that you cannot see through, like wood or aluminium foil.
which one and why?
Answer:
Radiation
Explanation:
I hope that help's
what is one result of warming up your bod'y muscles before exercising
Answer:
increases your heart rate
Explanation:
Warming up increases your heart rate and therefore your blood flow which enables more oxygen to reach your muscles.
how does an objects size affect the gravity exerted by that object
Answer:
The size of an object is directly proportional to the gravity
Explanation:
The size of an object has significant impact on the gravity exerted by such a body.
The more massive a body is, the larger the gravity it exerts.
The reason for this is because of the newton's law of universal gravitation.
It states that "the gravitational force between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distances between them". As such, gravity is directly proportional to mass11. A car travels at 40 m/s, decelerates at a constant 4 m/s² until rest.
Determine speed and distance after decelerating in 10 seconds!
Answer:
Speed is 0 m/s.
Distance is 200 meters.
Explanation:
One-Dimensional MotionIn this scenario, we can treat speed as the absolute value of velocity and distance as absolute value of displacement since we are dealing with one-dimensional motion.
There’ll only exist one component of vector, by applying magnitude formula, it’ll return value as shown below:
Suppose we have a one-dimensional vector, [tex]\displaystyle{\vec v = 5\hat i}[/tex], this represents a vector with magnitude of [tex]\displaystyle{|\vec v | = \sqrt{5^2} = 5}[/tex].
Theorem I - Magnitude of One-Dimensional Vector
Suppose we have a vector [tex]\displaystyle{\vec v = a\hat i}[/tex] then the magnitude is [tex]\displaystyle{|\vec v| = \sqrt {a^2} = |a|}[/tex].
Speed and Distance, Velocity and DisplacementSpeed and distance both are scalar quantity which means they only have magnitude but lack the direction. In one-dimensional motion, speed is defined to be the absolute value of velocity and direction is defined to be the absolute value of displacement, the reason is shown above regarding one-dimensional vector.
An example would be, consider a car moves at velocity of -4 m/s, this means that a car just moves to negative direction or opposite direction of positive at 4 m/s. The negative and positive sign refer to the direction that an object moves, to know how fast they are moving, we consider its magnitude which is speed.
This can also be said same to displacement and distance, but be aware that this can only be applied to straight horizontal or vertical line movement or else the motion will become two-dimensional.
SolutionFrom the problem, there’s no specific distance or displacement’s graph so we will assume that the car is moving in straight horizontal line. The car is moving at speed of 40 m/s and decelerates at 4 m/s².
This means that our acceleration is -4 m/s² since it’s decelerating and is moving at 40 m/s from start. Therefore, we can apply a general physic formula which is:
[tex]\displaystyle{v = u+at}[/tex]
Where v is final velocity, u is initial velocity, a is acceleration and t is time. As said, we can treat speed = positive velocity in this scenario so substitute u = 40 m/s and a = -4 m/s² in the formula.
[tex]\displaystyle{v=40-4t}[/tex]
Now substitute t = 10 in the formula:
[tex]\displaystyle{v = 40-4(10)}\\\\\displaystyle{v=40-40}\\\\\displaystyle{v=0 \ \sf{m/s}}[/tex]
Therefore, the speed of car at 10 seconds is 0 m/s, it’s not moving at this moment.
Next, we find distance which we can use the following formula:
[tex]\displaystyle{s = ut + \dfrac{1}{2}at^2}[/tex]
Substitute u = 40, t = 10 and a = -4 in:
[tex]\displaystyle{s=40(10)+\dfrac{1}{2}(-4)(10)^2}\\\\\displaystyle{s = 400-2(100)}\\\\\displaystyle{s=400-200}\\\\\displaystyle{s=200 \ \sf{m}}[/tex]
Therefore, in 10 seconds, it’ll be able to travel 200 meters.
Please let me know if you have any questions!Describe the term amplitude
Answer:
"the maximum extent of a vibration or oscillation, measured from the position of equilibrium."
hope this helps
Answer:
amplitude and physics the maximum displacement or distance moved by point on a vibrating body or wave measured from its equilibrium position it is equal to 1/2 of the length of the vibration path
An object has a mass of 40 kg. It is on a planet where the acceleration of gravity is 6.2 m/s2. What is the weight of this object?
Explanation:
The weight is 40 * 6.2 = 248N.
Answer:
248 N
Explanation:
Weight= Gravity*mass
W= 6.2*40
W= 248N
Thank you
This graph shows the decomposition of hydrogen peroxide as it is exposed to air. Marty claims that the graph shows that the reaction speeds up over time. Which sentence describes whether Marty is right and gives a valid reason?
Based on the graph, the correct option is that Marty is right because the change in concentration increases with time; option C.
What are decomposition reactions?
Decomposition reactions are reactions in which a large molecule splits or breaks down into two or more smaller molecules.
The general equation of a decomposition reaction is given below;
A → B + CThe decomposition of hydrogen peroxide to give water and oxygen occurs when it is exposed to air.
The given graph of the decomposition of hydrogen peroxide shows that the concentration of hydrogen peroxide decreases with time.
In conclusion, the decomposition of hydrogen peroxide in the presence of air gives oxygen and water.
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HELP ME PLS i need this rn i love u guys <<3 if u dont know dont answer
Answer:
1.78m/s
Explanation:
Given parameters:
Velocity of the arrow = 22.8m/s
Height of the wall = 15.5m
Unknown:
Time taken for the arrow to reach the ground = ?
Solution:
To solve this problem we employ the appropriate motion equation:
H = ut + [tex]\frac{1}{2}[/tex] g t²
H is the height
u is the initial velocity = 0
g is the acceleration due to gravity = 9.8m/s²
t is the unknown time
15.5 = [tex]\frac{1}{2}[/tex] x 9.8 x t²
15.5 = 4.9t²
t² = 3.16
t = 1.78m/s
A parallel-plate capacitor is disconnected from a battery, and the plates are pulled a small distance further apart. Do the following quantities increase, decrease, or stay the same?.
When the parallel-plate capacitors are disconnected from a battery and plates are pulled a small distance farther apart then Q remains the same, C decreases, Change in potential increases, Energy stored increases and E stays the same.
Solution:
Let's take C as the capacitance of parallel plates and Q as the Charge stored and 'd' is the distance between a plate of capacitors.
In the case of disconnection between plate capacitors, the capacitance of a parallel-plate capacitor becomes equal.
Then, charge Q remains the same i.e.
Q = εA / d = Q / Ed = Q/V
Here Q refers to the charge stored in a capacitor, E is the Electric field, V is the potential difference, and 'd' is the separation between plates.
There is an inverse relationship between potential difference and distance against the capacitance between a plate of the capacitor.
Similarly, the potential difference will increase when capacitance decreases.
E = V/d
While the values of V and d show a gradual decrease, E remains constant, therefore energy stored in the capacitor will be E = 1/2CV^2
The decrease in C causes an increase in V, as a result of which energy stored in the capacitor increases.
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Owen and Dina are at rest in frame S' , which is moving at 0.600 c with respect to frame S . They play a game of catch while Ed , at rest in frame S , watches the action (Fig. P39.75). Owen throws the ball to Dina at 0.800 c (according to Owen), and their separation (measured in S' ) is equal to 1.80 × 10¹²m .(c) how far apart are Owen and Dina.
The distance between Dina and Owen with respect to Ed is 1.44 × 10¹² m.
A frame of reference is a set of reference points—geometric points whose positions are known mathematically and physically—that define the origin, orientation, and scale of an abstract coordinate system.
If a body does not continuously adjust its position in relation to its environment throughout the course of time, it is said to be at rest.
In the frame S', Dina and Owen are at rest.
The speed of the ball with respect to Owen, u =0.800c
The speed of the frame S' with respect to frame S, v = 0.600c
Distance between Dina and Owen, L(p) = 1.8 × 10¹² m
Speed of light, c = 3 × 10⁸ m/s
Therefore, the distance between Dina and Owen with respect to Ed is:
L = L(p) √[1-(v²/c²)]
L = (1.8 × 10¹² m)√[1-(0.6c)²/c²)]
L = (1.8 × 10¹² m)(0.8)
L = 1.44 × 10¹² m
The distance is 1.44 × 10¹² m.
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an electron moving parallel to a uniform electric field increases its speed from 2.5×107 m/s to 3.9×107 m/s over a distance of 1.6 cm .
The electric field strength of the electron is 212143.75 N/C
To calculate the electric field strength,we use the formula below,
Formula
•E=ma/q............. equation 1
where,
E=electric field strength of the electron
m=mass of the electron
q=charge of an electron
first we need to calculate the acceleration of electron
•
[tex]v {}^{2} = u {}^{2} + 2as..........equation \: 2[/tex]
from the question,
given:
[tex]v = 3.9 \times 10 {}^{7} \frac{m}{s} [/tex]
[tex]u = 2.5 \times 10 {}^{7} \frac{m}{s} [/tex]
[tex]s = 1.6 cm = 1.2 \times 10 {}^{ - 2} [/tex]
substitute the values into equation 2
[tex](3.9 \times 10 {}^{7} ) {}^{2} = (2.5 \times 10 {}^{7} ) {}^{2} + 2(1.2 \times 10 {}^{ - 2} )a[/tex]
solve for a
[tex]1.521 \times 10 {}^{15} = 6.25 \times 10 {}^{14} + 0.024a[/tex]
[tex]a = 1.521 \times 10 {}^{15} - 6.25 \times 10 {}^{14} \div 0.024[/tex]
[tex]a = 8.96 \times 10 {}^{14} \div 0.024[/tex]
[tex]a = 3.73 \times 10 {}^{16} \frac{m}{s {}^{2} } [/tex]
Also given the following constant
[tex]m = 9.1 \times 10 {}^{ - 31} kg[/tex]
[tex]q = 1.6 \times 10 {}^{ - 19} c[/tex]
substitute these values in equation 1
[tex]e = \frac{(9.1 \times 10 {}^{ - 31})(3.73 \times 10 {}^{16} )}{1.6 \times 10 {}^{? - 19} } [/tex]
[tex] = 212143n \div c[/tex]
Hence,the electric field strength of the electron is 212143n/c
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find the force required to do 25 joule work when the force causes a displacement of 0.5 m
Answer:
50 NExplanation:
The force required can be found by using the formula
[tex]f = \frac{w}{d} \\ [/tex]
w is the workdone
d is the distance
From the question we have
[tex]f = \frac{25}{0.5} \\ [/tex]
We have the final answer as
50 NHope this helps you
How can you tell the direction a river flows
Answer: Regarding the image posted, a unicellular paramecium relies on mitosis for reproduction.
I hope this helps!
Roland dropped a rubber ball straight down. After falling for 2 seconds, the ball struck the ground with a force of 50 newtons (N). Which vector illustrates
the reaction force of the ground exerted on the ball?
Answer:
the last option is correct
Explanation:
Newton's third law of motion , the ground will exact the equal opposite force the rubber ball
A shuttlecock is kicked upward from the roof edge of a tall building at the speed of 4m/s. what is its speed, in m/s, after 3 seconds ( neglect air friction, so g = 9.8 m/s2)
The shuttlecock that is kicked upward from the roof edge of a tall building at the speed of 4m/s after 3s will have a velocity of: -25.4 m/s (the value is negative due to the object is going down)
The formula for the vertical launch upward and the procedure we will use is:
vf = v₀ - g * t
Where:
v₀ = initial velocityg = gravityt = timevf= final velocityInformation about the problem:
g = 9.8 m/s²v₀ = 4 m/st = 3 svf =?Applying the final velocity formula we get:
vf = v₀ - g * t
vf = 4 m/s - 9.8 m/s² * 3 s
vf = 4 m/s - 29.4 m/s
vf = -25.4 m/s
this negative value indicates that the object is going down
What is vertical launch upwards?In physics vertical launch upwards is the motion described by an object that has been launched vertically upwards in which the height and the effect of the earth's gravitational force on the launched object are taken into account.
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Give an example of a situation in which you have experienced sound being reflected, absorbed, and transmitted.
Answer: Absorption is the transformation of radiant power to another type of energy, usually heat, by interaction with matter. The transmittance t of a medium is defined by the ratio of transmitted radiant power to incident radiant power.
Explanation:
Absorption, in wave motion, the transfer of the energy of a wave to matter as the wave passes through it. ... If there is only a small fractional absorption of energy, the medium is said to be transparent to that particular radiation, but, if all the energy is lost, the medium is said to be opaque.
A plane moves with a velocity of 63.5 m/s at 32 degrees South of East. Calculate the plane's horizontal and vertical velocity components.
The plane's horizontal and vertical velocity components are 33.65 m/s and 53.85 m/s respectively.
What is velocity ?
velocity is defined as rate of change of displacement d of the object with respect to rate of change in time t. In mathematics It is written as :
v = d/t
it should be noted that, velocity is nothing but speed in particular direction. That is velocity is vector quality having both magnitude and direction where as speed is just the magnitude of velocity.
It is given that :
A plane moves with a velocity v of 63.5 m/s at 32 degrees South of East with the horizontal.
Therefore, the planes horizontal velocity components will be :
v₁ = vsinθ
v₁ = 63.5 x sin 32⁰
v₁ = 33.65 m/s
the planes vertical velocity components will be :
v₂ = vsinθ
v₂ = 63.5 x cos 32⁰
v₂ = 53.85 m/s
Therefore, the plane's horizontal and vertical velocity components are 33.65 m/s and 53.85 m/s respectively.
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questiona balloon is a sphere with a radius of 5.0 m. the force of air against the walls of the balloon is 45 n.what is the air pressure inside the balloon?surface area
Air pressure inside the balloon is 0.143 N/m²
PRESSURE : force applied perpendicular to the surface of object per unit area.
GIVEN -
Radius = 5.0m
Force = 45N
Air pressure inside the balloon is given by
[tex]P = \frac{F}{A}[/tex]
Where
P = Pressure
F = Force
A = Area
Surface area of the sphere = 4πr²
r is the radius of sphere
A = 4 ×3.14×(5)²
A = 314 m²
P = F/A
P = 45/314
P = 0.143 N/m²
Air pressure inside the balloon is 0.143 N/m²
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Which statement describes an example of static electricity?
A. Negatively charged particles are repelled by other negatively
charged particles
B. An insulator prevents electric charge from moving through it.
C. Electric charge flows past a point in a circuit.
D. A battery provides electrical energy to power a phone.
Answer:it’s a
Explanation:
Static electricity refers to the buildup or imbalance of electric charges on the surface of objects. The correct answer is B. An insulator prevents electric charge from moving through it.
An insulator prevents electric charge from moving through it. This statement describes an example of static electricity because insulators, such as rubber or plastic, do not allow electric charges to flow freely. When an insulator is rubbed or comes into contact with another object, it can cause the transfer of electrons between the two surfaces, leading to a buildup of static charge.
The charges remain stationary on the surfaces of the objects, resulting in an electrical imbalance without the flow of charges through the insulator.
Therefore, the correct answer is B. An insulator prevents electric charge from moving through it.
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the first law of thermodynamics states that the degree of disorder in the universe tends to increase
The degree of disorder in the universe tends to increase due to entropy.
ie. the second law of thermodynamic
First law of thermodynamics is the conservation of energy. Energy can change from one form to another form it neither created nor destroyed.
dQ = dU + dW
where
dQ is the heat transferred.
dW is the work done
dU is change in internal energy.
2nd law states entropy of an isolated system always increases.
S > 0
where s is the change in entropy in the universe.
the degree of disorder in the universe tends to increase due to entropy.
ie. the second law of thermodynamic.
The given question is incomplete
the first law of thermodynamics states that the degree of disorder in the universe tends to increase
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Acceleration (m/s²)
1. Complete the following table:
Starting speed
(m/s)
2
10
8
b
2
5
4
5
Final speed (m/s) Time taken (s)
25
8
2
2
10
2
Answer:
Acceleration= 2 m/s²
Time= 10 s
Final Speed= 24 m/s
Final Speed= 85 m/s
Starting Speed= 0 m/s
Explanation:
By using, v = u + at
Acceleration= 2 m/s²
Time= 10 s
Final Speed= 24 m/s
Final Speed= 85 m/s
Starting Speed= 0 m/s
a model house that runs completely on renewable energy uses 2 windmills and 3 solar panels. each windmill generates mmm kilowatt-hours (kwh) of energy per year, and each solar panel generates sss kwh per year. which expressions can we use to describe how many kwh of energy the model house will output in 10 years? choose 2 answers: choose 2 answers:
The model house on remote renewable energy will generate (20mmm + 30sss) kilowatt-hours of energy in 10 years.
Given:
Remote Renewable House= 2 windmills + 3 turbines
1 windmill generate mmm kilowatts-hours in a year
Therefore,
2 windmills will generate,
2×mmm=2mmm kwh in a year
In 10 years, 2 windmills will generate
10×2mmm=20mmm
1 solar panel generate sss kilowatt-hour each in 1 year
3 solar panels will generate yearly
3×sss=3sss
In 10 years, 3 solar panels will generate
10×3sss=30sss
Therefore, the total energy generated in the renewable model house is in 10 years
(20mmm+30sss) kwhr
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Q|C A large set of unoccupied football bleachers has solid seats and risers. You stand on the field in front of the bleachers and sharply clap two wooden boards together once. The sound pulse you produce has no definite frequency and no wavelength. The sound you hear reflected from the bleachers has an identifiable frequency and may remind you of a short toot on a trumpet, buzzer, or kazoo.(d) the duration of the sound on the basis of data you specify.
As a result, it is a noise without a pitch or wavelength. When the time comes, part of it is incidental and radiates away from you in all directions.
Following that, there is a temporal delay of 60 cm, or 0.6 m divided by 340 m/s, or 0.002 seconds. This is the amount of time it takes for the sound impulse to travel from one riser to the next. Any material will now reflect a significant portion of the sound that reaches it, and the reflected wave will sound substantially different from the shop. first sound. If there are 20 rows of seats and you hear a tone with 20 crests coming from the stands,
What is sound pulse?We are informed about this sound wave problem that a loud, sharp sound is produced in the middle of a field in an empty stadium. We hear an echo with a distinct pitch but no frequency or Waveland in the pulse.
Now that the sound has been accounted for, we need to estimate its frequency, wavelength, and duration in terms of orders of magnitude. We will now graph the air pressure versus time and model the Lord Sharp sound impulse as a single narrow peak.
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a red car and a green car, identical except for the color, move toward each other in adjacent lanes and parallel to an x axis. at time t
The constant acceleration of the green car is -2m/s2
Given,at t= 0
d=220m(distance between the cars)
let v0 be the final velocity of the green car
And,a be the green car acceleration
Then,for the red car with V1= 20km/h=5.56m/s the passing point
X1=44.5m
t1=X1/V1 =8.01s
then,X1-d=Vot1+1/2at2.......... equation (1)
And,for the red car with V2=40km/h=11.11m/s,the passing point
X1=76.6m
t2=X2/V2= 6.894s
then,X2-d= V0 t2+1/2at2.......equation (2)
on solving equation (1) & (2),
We obtain the following results;
The initial velocity of the green car is = -2m/S2 (the negative sign means that it's along the -X direction)
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Disclaimer: The question was given incomplete on the portal.Here is the complete question.
Question:a red car and a green car, identical except for the colour, move toward each other in adjacent lanes and parallel to the x−axis. At time t=0, the red car is at x r =0, and the green car is at x g =220m. If the red car has a constant velocity of 20km/h, the cars pass each other at x=44.5m, and if it has a constant velocity of 40km/h, they pass each other at x=76.6m. What is the constant acceleration of the green car?
when dropped from rest, any object will fall a total distance of 19.6 m in the first 2 seconds of its fall. how far does the object fall just during the 2nd second (i.e., from time t
The object fall just during the 2nd second is 14.7m.
As we know the equation of motion
equation off motion are equation that describe the behavior of physical system in terms of its motion as a function of time.
using 2nd equation of motion
S = ut +gt²/2
S= distance covered
u = initial velocity
g = acceleration due to gravity
t = time taken (t= 1 sec)
a = g = 9.8 m/s²
u = 0 m/s
At time t=1 sec
S₁ = 0 + 9.8 (1)²/2 = 4.9m
S₁ = 4.9m
S1 is the distance covered in ist second.
At t = time (t= 2 sec)
S₂ = 0 + 9.8 (2)²/2 = 19.6m
S₂ = 19.6m
S2 is the distance covered after 2nd second.
The object fall just during the 2nd second is
S = S₂ - S₁
S = 19.6 - 4.9 = 14.7m
The object fall just during the 2nd second is 14.7m.
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A rock is thrown downward at an initial velocity of 20m/s from a 40 meter tall building, what will be its final velocity before hitting the ground?
The final velocity of the rock before hitting the ground is 34.42m/s
Velocity of an object can be said as, the rate of change of displacement with respect to time of an object . Its unit is m/s and it is a vector quantity.
V = Δx/Δt
In here , V is velocity , Δx is change in displacement and Δt is change in time of an object.
We are given that,
The rock thrown downward with initial velocity = (-u) = -20m/s
The height of the building before and after hitting the ground = -Δy = -40 m
Therefore , to get the value of the final velocity (v) of the rock before hitting the ground , then the equation of motion cab be written as,
v² = u² + 2a(Δy )
Here , (a) is the acceleration due to gravity and taken negative (-9.81m/s²) due downward direction of the building then putting all the values in above equation of motion ,
v² = (-20m/s)² + 2(-9.81m/s²) (-40m)
v² = 1184.42m/s
v = 34.42m/s
Hence, the final velocity of the rock before hitting the ground would be 34.42m/s .
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