The ratio of displacement to time is known as velocity. The bullet needs 0.553 seconds before it touches the ground.
Consider the vertical motion of bullet
We have equation of motion s = ut + 0.5 at²
Initial velocity, u = 0 m/s
Acceleration, a = 9.81 m/s²
Displacement, s = 1.5 m
Substituting
s = ut + 0.5 at²
1.5 = 0 x t + 0.5 x 9.81 xt²
t = 0.553 s
Time elapsed before the bullet hits the ground is 0.553 seconds.
b) Consider the horizontal motion of bullet
We have equation of motion s = ut + 0.5 at²
Initial velocity, u = 200 m/s
Acceleration, a = 0 m/s²
Time, t = 0.553 s
Substituting
s = ut + 0.5 at²
s = 200 x 0.553 + 0.5 x 0 x 0.553²
s = 110.6 m
The bullet travels horizontally 110.6 m.
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A cylinder of the same material as the one you used in your experiment has a mass of 250 g and a diameter of 10 cm. What is its length?
Write an expression for the mass of the cylinder in terms of length and equal it to 250 g to find the unknown.
Since the question refers to a previous case (an experiment with a similar cylinder), you probably know the density of that cylinder by now.Also, since this new cylinder is of the same material, it has the same density as the previous one. This fact lets you create a link between the situations or data which helps you to find the unknown quantity of the new cylinder.The volume of the cylinder can be written as follows,[tex]\begin{aligned}\\\\V &= \text{area}\times \text{length}\\&= \pi \frac{d^2}{4}\times L\end{aligned}[/tex]
The mass of the cylinder is as follows[tex]\begin{aligned}m &= \text{density}\times\text{volume}\\\\&= \rho \times \pi \frac{d^2}{4}\times L\\\\250\,g &= \rho \times \pi \frac{d^2}{4} \times L\\\\L &= \frac{250\,g\times 4}{\pi \rho d^2 }\\\\&= \frac{1000 g}{\pi \times \rho\times (10\,cm)^2}\end{aligned}[/tex]
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a car accelerates at a constant rate from 15 m/s to 25 m/s while it travels a distant of 125 m how long does it take to achieve the final speed
Answer:
6.25 sec
Explanation:
Given: initial velocity = 15 m/s final velocity = 25 m/s, and distance = 125 m
average velocity = (25 + 15)/2
Distance(D) = Rate(R) x Time(T)
125 = ((25 + 15)/2) x T
125 = 20T
T = 6.25 sec
Hence the required time to achieve final speed is 6.25 sec
Answer:
See below
Explanation:
Here is another way
d = vo t + 1/2 a t^2 a = change vel /change t = 10/t
125 = 15 t + 1/2 (10/t) t^2
125 = 20 t
t = 125/20 = 6.25 s
Where do scientists get their evidence?
-For Study Guide
Scientists get their evidence through scientific methods such as observation and performing experiments.
What is Experiment?This is referred to as a part of a scientific method and it is performed by scientists to test a hypothesis so as to know whether it will be accepted or refuted.
This helps scientists to gather information from the various results gotten and the use of our sense organs such as nose etc to observe the various happenings is also a method in which scientists get their evidence. They also use models to study how certain processes occur so as to get the accurate data.
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A tennis ball is hit straight upwards and undergoes a free fall motion as it rises towards its highest point. what changes, if any, would be observed of the velocity and the acceleration of the tennis ball as it rises to its highest point?
Answer:.
Explanation:
The resistance of the incandescent bulb used in a car lamp is equal to OM. Find the current that flows through the bulb if the voltage is at 5V.
Answer:The resistance of a 24 W, 12 V filament lamp depends on the current flowing through the lamp. For currents up to 0.8 A, the resistance has a constant
Explanation:
The height that you can jump has an inverse relationship to the
gravitational field strength. When the field strength doubles, the height halves.
The gravitational field strength on the surface of Mars is 3.8 N/kg. If the Olympic
Games were held on Mars in a large dome to provide air to breathe, what would
happen to the records for:
a) weightlifting (weight in N)
b) high jump (height)
c) pole vault (height)
d) throwing the javelin (distance)
e) the 100 m race (time)?
Answer:The height that you can jump has an inverse relationship to gravitational field strength. So if the field strength doubles, the height
Explanation:
Obtain expressions in component form for the position vectors having the following polar coordinates.
After transforming the position vectors from polar coordinates to cartesian coordinates, we get -
a) → r = 12.4 m , θ = 170° ↔ - 12.21 i + 2.15 j
b) → r = 4 cm , θ = 50° ↔ 2.57 i + 3.06 j
c) → r = 20 inches , θ = 210° ↔ - 17.32 i - 10 j
What does a position vector represent?A position vector is a vector that is used to represent the position of a point in the coordinate system.
Given are the polar coordinates of three points in two dimensional coordinate system.
In order to convert the polar coordinate (r, θ) into cartesian coordinates
(x, y) use the following relations -
x = r × cosθ
y = r × sinθ
a) → r = 12.4 m , θ = 170°
x = 12.4 x cos (170°) = 12.4 x -0.98480775301 = -12 .21
y = 12.4 x sin (170°) = 12.4 x 0.17364817766 = 2.15
In cartesian form → ( -12.21 i + 2.15 j )
b) → r = 4 cm , θ = 50°
x = 4 x cos (50°) = 4 x 0.64278760968 = 2.57
y = 4 x sin (170°) = 4 x 0.76604444311 = 3.06
In cartesian form → ( 2.57 i + 3.06 j )
c) → r = 20 inches , θ = 210°
x = 20 x cos (210°) = 20 x -0.86602540378 = -17.32
y = 20 x sin (210°) = 20 x -0.5= -10
In cartesian form → ( -17.32 i - 10 j )
Therefore, after transforming the position vectors from polar coordinates to cartesian coordinates, we get -
a) → r = 12.4 m , θ = 170° ↔ - 12.21 i + 2.15 j
b) → r = 4 cm , θ = 50° ↔ 2.57 i + 3.06 j
c) → r = 20 inches , θ = 210° ↔ - 17.32 i - 10 j
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What are the steps in experimental design? Give a short explanation for each step.
Answer:
First you define your variables meaning you write out the worths of each variable. Second you write your hypothesis and this is your guess on what will happen. Third you design your experimental treatments which is you analyzing what youre going to do. Next assign your subject to treatment groups and lastly youll measured your dependent vauleable.
Explanation:
In a first order decomposition, the constant is 0.00134 sec-1. what percentage of the compound is left after 4.71 minutes?
In a first order decomposition after 4.71 minutes, 37.8% of the compound is left.
CalculationA = A0e-kt
A/A0 = e-0.00134t, [k = 0.00299, divide both sides by A0]
A/Ao = e-0.00134*282.6, [t = 4.71 min*(60 sec/ 1 min) = 282.6 sec]
A/A0 = .3786 = 37.8%
What is order of Decomposition?Invertebrate creatures go through five general stages of decomposition: fresh, bloat, active decay, advanced decay, and dry/remains.
What is telecom order decomposition?The procedures for breaking down a sales order into numerous work orders or service orders are outlined in the Order Decomposition section.
One sub-order can be created for each business line in a Triple Play Telco Sales order, which includes three services: landline, Internet, and wireless.
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3. For each equation, state the reaction type and then balance the equation. (2 points)
b.KCIO3 →_KCI+_0₂
->
This is a type of decomposition reaction and the balanced reaction is as below
(2)KCIO3 → (2)KCI + (3)0₂
A decomposition reaction is the type of reaction in which the single reactant is broken down into one or more than one smaller product out of which one may or may not be a gaseous product.
In the given reaction, KClO3 is broken into KCl and O2, in which O2 is a gaseous product. Hence, the given reaction is an example of a decomposition reaction.
In the unbalanced chemical equation, the number of Potassium(K) and Chlorine(Cl) is equal on both the reactant and product sides. But the no. od Oxygen(O) is not equal.
Equating the oxygen on both sides, we get the balanced chemical equation as below:
(2)KCIO3 → (2)KCI + (3)0₂
Therefore, the above reaction is an example of a decomposition reaction and the balanced chemical reaction is (2)KCIO3 → (2)KCI + (3)0₂.
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what is the speed of Nolan’s Ryan’s fastball if it travels 4.6 meters in .60 seconds?
14. A car is moving with a constant speed around a turn. Can you also say that the car
is moves with a constant velocity, explain.
conds what is the
Answer:
no
Explanation:
velocity is equal to displacement/time
therefore if you are turning your displacement would not be as large as if you continued with a straight line.
Answer:
No.
Explanation:
For example, the car could be traveling at constant speed around a corner. In this case it`s direction is changing and therefore it`s velocity is changing.
suppose that the fuel accounts for 75% of the initial mass of the rocket and that all of the fuel is consumed at 140 s. find the velocity of the rocket in meters per second at the instant the fuel is exhausted. [ note: take g
The velocity of the rocket, at the instant, the fuel is exhausted is 2103 m/s
Given that,
m = [tex]m_{0}[/tex] - k t ⇒ ( 1 )
m dv / dt = ck - mg ⇒ ( 2 )
dv / dt = ( ck / m ) - g
dv = ( ck / ( [tex]m_{0}[/tex] - k t ) - g ) dt
∫ dv = c ∫( k / ( [tex]m_{0}[/tex] - k t ) dt - ∫ g dt
v = -c ln ( [tex]m_{0}[/tex] - k t ) - gt + [tex]C_{1}[/tex] ⇒ ( 3 )
[tex]C_{1}[/tex] = Constant of integration
At t = 0, v = 0 i.e. v ( 0 ) = 0
Substitute v ( 0 ) = 0 in ( 3 )
0 = -c ln ( [tex]m_{0}[/tex] - 0k ) - 0 g + [tex]C_{1}[/tex]
[tex]C_{1}[/tex] = c ln ( [tex]m_{0}[/tex] )
Substitute [tex]C_{1}[/tex] in ( 3 )
v = -c ln ( [tex]m_{0}[/tex] - k t ) - gt + c ln ( [tex]m_{0}[/tex] )
v = c ln ( [tex]m_{0}[/tex] / [tex]m_{0}[/tex] - kt ) - gt ⇒ ( 4 )
After the fuel is fully consumed after 140 s, the mass of rocket is 25% of initial mass.
m ( 140 ) = 0.25 [tex]m_{0}[/tex]
From ( 1 )
m ( t ) = [tex]m_{0}[/tex] - k t
m ( 140 ) = [tex]m_{0}[/tex] - 140k
0.25 [tex]m_{0}[/tex] = [tex]m_{0}[/tex] - 140k
From ( 4 )
v ( 140 ) = 2500 ln ( [tex]m_{0}[/tex] / [tex]m_{0}[/tex] - 140k ) - 9.8 ( 140 )
v ( 140 ) = 2500 ln ( [tex]m_{0}[/tex] / 0.25 [tex]m_{0}[/tex] ) - 1372
v ( 140 ) = 2500 ln ( 4 ) - 1372
v ( 140 ) = ( 2500 * 1.39 ) - 1372
v ( 140 ) = 2103 m / s
Velocity at a given instant is the displacement at that given instant.
The given question is incomplete. The complete question is:
A rocket, fired upward from rest at time t=0, has an initial mass of [tex]m_{0}[/tex](including its fuel). Assuming that the fuel is consumed at a constant rate k, the mass m of the rocket, while fuel is being burned, will be given by m = [tex]m_{0}[/tex] - k t. It can be shown that if air resistance is neglected and the fuel gases are expelled at a constant speed c relative to the rocket, then the velocity v of the rocket will satisfy the equation m dv / dt = c k - m g where g is the acceleration due to gravity. Suppose that the fuel accounts for 75% of the initial mass of the rocket and that all of the fuel is consumed in 140 s. Find the velocity of the rocket in meters per second at the instant the fuel is exhausted. [Note: Take g=9.8 m/s and c=2500 m/s.]
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A particle having a mass of 1mg has a velocity 1 km/sec, calculate the wavelength of the particle
The wavelength of the particle is [tex]6.626*10^{-29} cm.[/tex]
What is the wavelength of a particle?Louis de Broglie demonstrated that a particle's wavelength is equal to Planck's constant divided by its mass times its velocity. As a result, the electron in Bohr's circular orbits could be compared to a standing wave, which is a wave that is stationary in space.Using the De Broglie equation, one may determine the wavelength of a moving object: =mvh=1.He proposed that if you know a particle's mass and velocity, you may correlate a wavelength with it. The following is a definition of the de Broglie wavelength: Lambda is the Greek letter for wavelength, while h, Planck's constant, m, and v are the particle's mass and velocity.To learn more about wavelength, refer to:
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Mechanical stress on weight-bearing bones plays a large part in bone remodeling. What single factor plays the largest role in maintaining adequate bone strength?.
Gravity is the single factor that plays the largest role in maintaining adequate bone strength.
What is Gravity?Gravity is the force by which a planet or other body draws objects toward its center.
Gravity is the single factor that plays the largest role in maintaining adequate bone strength.
Gravity is by far the weakest known force in nature and thus plays no role in determining the internal properties of everyday matter.
The newton's law of gravitation is expressed mathematically as
F= Gm1m2/r²
where
F = force
G = gravitational constant
m_1 = mass of object 1
m_2 = mass of object 2
r = distance between centers of the masses
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In an electric motor, how do the permanent magnets and the electromagnet interact?
Answer:
A coil of wire becomes an electromagnet when current passes through it. The electromagnet interacts with a permanent magnet, causing the coil to spin. Voilà!
Explanation:
A coil of wire becomes an electromagnet when current passes through it. The electromagnet interacts with a permanent magnet, causing the coil to spin. Voilà! and ig Magnetic torque: Permanent magnets generate a flux field in the rotor. The stator generates a field that interacts with the rotor's magnetic field. Changing the position of the stator field with respect to the rotor field causes the rotor to shift. The shift due to this interaction is the magnetic torque.
4. An expandable container
that contains 500 L of argon
gas has an initial pressure of
1.00 atm. If the pressure was
increased to 4 058 mmHg,
calculate the final volume of
the container. Assume that the
temperature is constant.
The final volume of the container that contains argon gas at 4058 mm of Hg is 93.80 L.
Given in the question
Initial pressure = 1.00 atm = P1
Initial volume = 500 L = V1
Final Pressure = 4058 mm of Hg = P2
To find
Final Volume = V2
Now, the unit of pressure is different for each case, So we need to convert mm of Hg into atmospheric pressure.
Using unitary method
760 mm of Hg = 1 atm
1 mm of Hg = 1/760 atm
1×4058 mm of Hg = 1/760 × 4058 atm
4.058 mm of Hg = 4058/760 atm
4.058 mm of Hg = 5.3 atm
Now as it is given in the question that the temperature remains constant, we can apply Boyle's law.
By using Boyle's law
P1V1 = P2V2
Put in the value
(1.0)(500) = (5.3)(V2)
V2 = 500/5.3
V2 = 93.80 L
Therefore, the final volume of the argon gas at 4058 mm of Hg is 93.80 L.
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To measure the magnitude of the doppler shift, divide the frequency of sound waves in front of the plane by frequency behind the plane. what do you get?
We get the speed of the wave when we divide the frequency of sound waves in front of the plane by frequency behind the plane.
Assume the source s, is behind, and the listener l, is in front of the plane. The formula for the doppler effect is given by:
fL=((v±vL )/(v±vS)) fS
Thus, dividing the frequency of sound waves in front of the plane by frequency behind the plane gives the speed of the waves.
where fL is the frequency perceived by the observer (listener),
fS is the frequency of the source,
v is the speed of the waves,
vL the speed of the listener and
vS the speed of the source.
The Doppler Effect is the shift in observed frequency of a wave caused by the movement of the source or detector relative to the transmitting medium. The Doppler Effect happens when a wave source and/or observer move relative to one other, resulting in the observer measuring a different frequency of the waves than the source. In essence, this effect happens majorly in two scenarios, a stationary observer and a moving source or a moving source and a stationary observer.
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One way to control avalanches is to send explosive charges to key areas on mountain slopes to trigger small avalanches before larger ones can build up. Norway, for instance, uses solar- powered launchers that fire pre-timed charges. Your launcher fires charges at an angle of 70 degrees from the horizontal and a speed of 200 m/s. If you fire a charge and it travels a horizontal distance of 300 m away from you, how high up the slope will it strike?.
By using uniform motion, the high up the slope will it strike is 730.62 m.
We need to know about uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule
vt = vo + a . t
vt² = vo² + 2a . s
s = vo . t + 1/2 . a . t²
where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.
From the question above, we know that
θ = 70⁰
vi = 200 m/s
x = 300 m
Find the initial velocity in x and y axis
vx = vi cosθ = 68.40 m/s
vy = vi sinθ = 187.94 m/s
Find the time taken to reach 300 m
vx = x / t
68.4 = 300 / t
t = 4.39 second
Find the time taken to reach maximum height
vt = vo + a . t
0 = vy - g . t
vy = gt
187.94 = 9.8 . t
t = 19.18 second
The motion of projectile is raising to maximum height, hence
s = vo . t + 1/2 . a . t²
h = vy . t - 1/2 . g . t²
h = 187.94 . 4.39 - 1/2 . 9.8 . 4.39²
h = 730.62 m
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Is speed a vector or a scalar quantity?
Speed is a scalar quantity because it is only represented by magnitude not a direction.
Additional information:Scalar quantity is a quantity that is only represented by magnitude. For eg :- distance, speed etc.Vector quantity is a quantity that is represented by both magnitude as well as direction. For eg :- displacement, velocity etc.High temperature and pressure tend to favor flow rather than breakage, so it is surprising that large, very deep earthquakes are sometimes observed, occurring in warm places where the pressure is high. What is accurate about these rare, deep earthquakes?.
They happen at subduction zones, where shifting mineral assemblages appear to "implode" as a result of increased pressure on the rock as it is subducted deeper.
"Implosion" is the idea that is currently preferred. As subduction zones transfer rocks deeper where pressure is stronger, the building blocks frequently reorganize to take up less space, changing from, for example, a fit-in-the-gap-between-those-below arrangement to one that places rocks one on top of another. Sometimes, this can seem to develop gradually until coming to a head suddenly (I can't move until my neighbor does...), leading to an implosion. The biggest, deepest earthquakes happen where temperatures and pressures are so extreme that we can't even envision rocks breaking. Humans have never excavated a tunnel, not as deep as the earthquakes. Most nuclear bomb tests have been completed. Major nuclear weapons are substantially smaller than large earthquakes.)
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which is harder to lift ?
a, 20 kg
b, 20 Ib
c, same size
a parking lot going to be 50 m wide and 150 long. wich dimensions could be used for a scale model of a lot
The dimensions that could be used for a scale model of a lot
25cm x 75cm
This is further explained below.
Which dimensions could be used for a scale model of a lot?Generally, the equation for is mathematically given as
A scale model will always employ the lowest possible size of a dimension. Since smaller sizes can be divided more readily, smaller sizes are the ones that are used for scale models.
The dimension is 25cm x 75cm
In conclusion, The dimensions that could be used for a scale model of a lot
25cm x 75cm
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as you walk into a brightly lit room, the black structure in the center of your eye seems to shrink to a tiny black dot. this response is caused by the action of the eye structure called the: question 1 options: 1) cornea. 2) retina. 3) iris. 4) lens.
This response is caused by the action of the eye structure called Iris
The black structure in the center of your eye is called as Pupil. It is second layer, which the light passes when entering the eye. In bright light the pupil shrinks and in dim light the pupils expands.
As said above, the pupils size changes based on the amount light entering the eye. This moving of pupils is controlled by Iris, the coloured part of the eye.
Therefore, the given response is caused by the action of the eye structure called the
3 ) Iris
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What is the far point in m of a person whose eyes have a relaxed power of 53. 6 d? (assume a lens-to-retina distance of 2. 00 cm. )
According to the relaxed power, the far point in meter unit is 0.28 meters.
We need to know about the relaxed power of the eye to solve this problem. Relaxed power can be defined as the ability of the optical device to see. It can be represented by a dioptre unit. The relaxed power formula is
P = 1/di + 1/do
where P is power of the eye, di is distance between eye lens and image and do is distance between eye lens and image.
From question above, the given parameters are
P = 53.6 d
di = 2 cm = 0.02 m
By substituting the given parameters, we can calculate the far point
P = 1/di + 1/do
53.6 = 1/0.02 + 1/do
1/do = 53.6 - 50
1/do = 3.6
do = 1/3.6
do = 0.28 m
Hence, the far point in meter unit is 0.28 meters.
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A 0.8 kg toy car is pushed with a force of 4 N. What is the acceleration of the toy car? 2.1 m/s2 ⊝ 3.3 m/s2 ⊝ 5.0 m/s2 ⊝ 6
Answer:2.1 m/s2. 3.3 m/s2. 5.0 m/s2. 6.2 m/s2.
Explanation:
QUESTION 6
The formula for kinetic energy is KE =
12 mass times velocity squared. Fill in the
blanks using the formula. Play with it on
paper first.
Kinetic Energy
✓
✓
16
20
Mass
2
6
2
2
2
2
Velocity
/4
Answer:
k.e.
1/2 ×2×4=4
1/2×6×4=12
m.
16×2÷4=8
20×2÷4=10
Valerie's monthly income is $450 and her monthly outflows are $425. How much money could Valerie save in the next eight months without changing her income or spending pattern
Answer:
$200
Explanation:
[tex]total \:saved = months(monthly \: income - monthly \: outflows)[/tex]
[tex]x = 8(450 - 425)[/tex]
[tex] \times = 8(25)[/tex]
you're going to find the difference of the two values
The money that could Valerie save in the next eight months without changing her income or spending pattern is $200.
What are the types of income?Passive income is the form of revenue obtained from renting out a home. It is a consistent source of revenue that requires minimal work to maintain.
Earnings from a rental property, limited partnership, or other enterprise are some examples. Gross income includes all sources of revenue. It is an individual's entire personal income before taxes and deductions.
Taxable income is defined as an individual's or a business firm's earnings (amount of income) that are used as a basis by federal or state authorities to calculate the tax to be levied on them.
Total saved money = months (monthly income - monthly out of flow)
x = 8($450 - $425)
x = 8(25)
Therefore, Valerie might save $200 over the next eight months without changing her salary or spending habits.
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replace one of the clusters with 4 negative charges at 2m from the positive charges. where is the electric field the greatest? is there a point where the field will be zero?
E = 6.36 [tex]\frac{v}{c}[/tex]
The physical field that surrounds electrically charged particles and exerts a force on all other charged particles in the electric field, either attracting or repelling them, is known as an electric field (also known as an E-field. It can also refer to a system of charged particles' physical field. Electric charges and time-varying electric currents are the building blocks of electric fields. The electromagnetic field, one of the four fundamental interactions (also known as forces) of nature, manifests itself in both electric and magnetic fields.
Electrical technology makes use of electric fields, which are significant in many branches of physics. For instance, in atomic physics and chemistry, the electric field acts as an attractive force to keep atoms' atomic nuclei and electrons together.
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Determine the mass of precipitate that forms when 125 ml of 0. 222 m aqueous magnesium chloride is mixed with 225 ml of 0. 105 m aqueous sodium phosphate.
The mass of magnesium phosphate ppt is 2.432 g.
The net ionic equation is:
3MgCl₂ (aq) + 2Na₃(PO₄) (aq) -----> Mg₃(PO₄)₂ (s) + 3Na⁺ (aq) + 3Cl⁻ (aq)
Mass of magnesium chloride = Molar mass × Moles
= 0.125 × 0.222
= 0.02775g
Mass of sodium phosphate = Molar mass × Moles
= 0.225 × 0.105
= 0.023625g
According to reaction stoichiometry, magnesium chloride is the limiting reagent.
So, moles of magnesium phosphate that will be formed = 0.02775/3 = 0.00925
Hence, mass of magnesium phosphate ppt = Moles × Molecular weight
= 0.00925 × 263
= 2.432 g
Therefore, the mass of magnesium phosphate ppt is 2.432 g.
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