Given:
Mass of the runner (m) = 50 kg
Speed of the runner (v) = 2 m/s
Equation:
[tex] \rm KE = \dfrac{1}{2} mv^2[/tex]
Answer:
By substituting values in the equation, we get:
[tex] \rm KE = \dfrac{1}{2} \times 50 \times 2^2 \\ \\ \rm = \dfrac{1}{2} \times 50 \times 4 \\ \\ \rm = 25 \times 4 \\ \\ \rm = 100 \: J[/tex]
[tex] \therefore [/tex] Kinetic energy of the runner = 100 J
Answer:
Given,
mass(m)=50kg
velocity(v)=2m/s
kinetic energy(K.E.)=?
We know that K.E.=1/2mv2
KE=1/2×50×2^2
Explanation:
=1/2×200
=100 Joule
A monochromatic plane electric-field-wave has a peak value 20 V/m. What is the peak value of the Magnetic field?
Answer:
The peak value of the Magnetic field is 6.67 x 10⁻⁸ T
Explanation:
Given;
peak value of the electric-field, E₀ = 20 V/m
The peak of the magnetic field, B₀ = ?
The peak value of the magnetic field is given by;
B₀ = E₀/C
Where;
C is the speed of light = 3 x 10⁸ m/s
Substitute the givens and solve for B₀
B₀ = E₀ / C
B₀ = (20) / (3 x 10⁸)
B₀ = 6.67 x 10⁻⁸ T
Therefore, the peak value of the Magnetic field is 6.67 x 10⁻⁸ T
B₀ =
Oil with a density of 890 kg/m3 moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is
P1 = 2.00 ✕ 104 Pa,
and the pipe diameter is 7.00 cm. At another point
y = 0.30 m
higher, the pressure is
P2 = 1.25 ✕ 104 Pa
and the pipe diameter is 3.50 cm.
A tube is open at both its left and right ends. The tube starts at the left end, extends horizontally to the right, curves up and to the right, and extends horizontally to the right again. The right end is higher than its left end, and the change in height is labeled y. The pressure at the left end is labeled P1, and the pressure at the right end is labeled P2.
a- find the speed of the flow in the lower section (m/s)
b- find the speed of the flow in the higher section (m/s)
c- find the volume flow rate in the pipe (m^3/s)
Answer:
(a) V₁ = 1.06 m/s
(b) V₂ = 4.24 m/s
(c) Q = 4.08 x 10⁻³ m³/s
Explanation:
(b)
The formula derived for Venturi tube can be used here:
P₁ - P₂ = (ρ/2)(V₂² - V₁²)
where,
P₁ - P₂ = Difference in Pressure = (2x 10⁴ Pa) - (1.25 x 10⁴ Pa) = 0.75 x 10⁴ Pa
ρ = Density of Oil = 890 kg/m³
V₂ = Velocity at Higher End = ?
V₁ = Velocity at Lower End = ?
Therefore,
0.75 x 10⁴ Pa = [(890kg/m³)/2](V₂² - V₁²)
V₂² - V₁² = (0.75 x 10⁴ Pa)/(445 kg/m³)
V₂² - V₁² = 16.85 m²/s² ------------------- equation (1)
Now, we will use continuity equation:
A₁V₁ = A₂V₂
where,
A₁ = Lower End Area = πd₁²/4 = π(0.07 m)²/4 = 3.848 x 10⁻³ m²
A₂ = Higher End Area = πd₂²/4 = π(0.035 m)²/4 = 9.621 x 10⁻⁴ m²
Therefore,
(3.848 x 10⁻³ m²)V₁ = (9.621 x 10⁻⁴ m²)V₂
V₁ = (9.621 x 10⁻⁴ m²)V₂/(3.848 x 10⁻³ m²)
V₁ = 0.25 V₂ -------------------- equation (2)
using this value in equation (1):
V₂² - (0.25 V₂)² = 16.85 m²/s²
0.9375 V₂² = 16.85 m²/s²
V₂² = (16.85 m²/s²)/0.9375
V₂ = √(17.97 m²/s²)
V₂ = 4.24 m/s
(a)
using the value of V₂ in equation (2):
V₁ = 0.25(4.24 m/s)
V₁ = 1.06 m/s
(c)
For fluid flow rate we use the following equation:
Flow Rate = Q = A₂V₂ = (9.621 x 10⁻⁴ m²)(4.24 m/s)
Q = 4.08 x 10⁻³ m³/s
The speed if the fluid increases as pressure decreases.
(a) The speed of the flow in the lower section is 1.06 m/s
(b) The speed of the flow in the higher section is 4.24 m/s
(c) The volume flow rate in the pipe [tex]\bold {4.08 x 10^-^3m^3/s}[/tex].
The relation pressure and volume in constricted pipe can be derived by the formula formula ,
[tex]\bold {P_1 - P_2 = (\rho /2)(V_2^2 - V_1^2)}[/tex]
Where,
P₁ - P₂ -Difference in Pressure = [tex]\bold { 0.75 x 10^4}[/tex]
[tex]\rho[/tex] - Density of Oil = 890 kg/m³
V₂ - Velocity at Higher End = ?
V₁ - Velocity at Lower End = ?
put the values in the formula,
[tex]\bold {0.75 x 10^4 Pa = \dfrac{(890kg/m^3)}{2(V_2^2 - V_1^2)}}\\\\\bold {V_2^2 - V_1^2 = \dfrac {0.75 x 10^4 Pa}{445 kg/m^3}}\\\\\bold {V_2^2 - V_1^2 = 16.85 m^2/s^2}[/tex]
The continuity equation,
[tex]\bold {A_1V_1 = A_2V_2}[/tex]
Where,
[tex]\bold {A_1 }[/tex] - Area of lower end = [tex]\bold {3.848 x 10^-^3m^2}[/tex]
[tex]\bold {A_2 }[/tex] - Area of higher end = [tex]\bold {9.621 x 10^-^4m^2}[/tex]
Put the value in the formula above,
[tex]\bold {(3.848 x 10^-^3m^2)V_1= (9.621 x 10^-^4m^2)V^2}\\\\\bold {V_1 = \dfrac {(9.621 x 10^-^4 m^2)V_2}{(3.848 x 10^-^3 m^2)}}\\\\\bold {V_1 = 0.25 \times V_2}[/tex]
Put the value of [tex]\bold {V_1}[/tex], we get
[tex]\bold {V_2= 4.24 m/s}[/tex]
Therefore,
[tex]\bold {V1 = 0.25 (4.24 m/s)}\\\\\bold {V_1 = 1.06 m/s}[/tex]
The flow rate
[tex]\bold {Q = A_2V_2}[/tex]
[tex]\bold {Q = (9.621 x 10^-^4 m^2)(4.24 m/s)}\\\\\bold {Q = 4.08 x 10^-^3m^3/s}[/tex]
Therefore, the flow rate of the oil in the pipe is [tex]\bold {4.08 x 10^-^3m^3/s}[/tex].
To know more about Bernoulli's equation, refer to the link:
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A ray diagram shows that an object is placed in front of a plane mirror. What are the characteristics of the image produced by the object? inverted, larger than object, real upright, smaller than object, virtual inverted, same size as object, real upright, same size as object, virtual
Answer:
D. upright, same size as object, virtual
Explanation:
it is a plane mirror, it has no changes
The characteristics of the image produced by the object placed in front of a plane mirror will be upright, the same size as the object, and virtual.
What is the law of reflection?The law of reflection states that when a ray of light reflects back from a surface the angle of incidence of light on a surface is equal to the angle of reflection.
The image produced by an object in front of a plane mirror will be upright, the same size as the object, and virtual.
learn more about the law of reflection
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if a car is moving down the highway at a constant velocity what does this mean about the cars acceleration?
A positively charged atom has? 1. gained protons. 2. gained electrons. 3. lost electrons. 4. lost protons.
Answer:
3. lost electrons.
Explanation:
An atom that has lost an electron is positively charged because the number of protons is now greater than the number of electrons in the atom.
Protons are positively charged particles in an atom. Electrons are negatively charged particles. Neutrons do not carry any charges.If the number of protons and electrons are the same, the atom has no charge
If the protons > electrons, the atom becomes positively charged
If electrons > protons, the atom becomes negatively charged.
Atoms becomes charged by losing or gaining electrons.
Adam takes a bus on a school field trip. The bus route is split into the five legs listed in the table. Find the average velocity for each leg of the trip. Then arrange the legs of the trip from highest velocity to lowest. Leg Distance (km) Time (min) A 18 9 B 25 15 C 24 8 D 48 12 E 15 7 leg A leg B leg C leg D leg E
Answer:
The answer is:
VA= 33 m/S
VB= 27.8 m/s
VC= 50 m/s
VD=66.7 m/s
VE=35.7 m/s
So, the Legs from the highest velocity to the lower are:
D - C - E - A - B
The explanation:
we are going to use the velocity formula:
Velocity = distance (m) / time (s)
So,
A) when D = 18 Km = 18000 m
and t = 9 min = 9*60 =540 s
So V = 18000m/ 540 S
= 33 m/S
B) when D = 25 Km = 25000 m
and t = 15 min = 15 * 60 = 900 S
So V = 25000m / 900S
= 27.8 m/s
C) when D = 24 Km = 24000 m
and t = 8 min = 8 * 60 = 480 s
So V = 24000m / 480s
= 50 m/s
D) when D = 48 Km = 48000 m
and t = 12 min = 12 * 60 = 720 s
So V = 48000 m / 720s
=66.7 m/s
E) when D = 15 km = 15000m
and t = 7 min = 7 * 60 = 420 s
So V = 15000m / 420s
= 35.7 m/s
A small child has a wagon with a mass of 10 kilograms. The child pulls on the wagon with a force of 2 Newton’s. What is the acceleration of the wagon?
PHYSICS
Mass = 10 kg
Force = 2 N
Acceleration = ____?
Answers :
[tex]f \: = m \times a[/tex]
2 = 10 × a
2 / 10 = a
0,2 m/s² = a ✅
Two lenses with focal lengths 10cm and 20cm and made of same material are placed coaxially
separated by distance d. The value of d such that the system is achromatic is
A) 20 om
) 30cm
C) 10 cm
D) 15 cm
jose has a mass of 70 kg, what is his weight
Parallel circuits:
O A. provide more than one path for current flow.
O B. will have positive charges flowing in one branch, negative charges
in the other.
C. always need more voltage than series circuits.
O D. are rarely used in the wiring in homes.
Answer:
Provide more than one path for current flow. (answer option A)
Explanation:
When one connects resistors in parallel, one provides more than a single path for the current to flow. The current separates on each branch according to the resistance it experiences.
in the space below derive two equations one in the y direction and one in the x direction expressing newton’s second law using symbols
Answer:
Fₓ = maₓ
Fy = may
Explanation:
The Newton's Second Law tells us about the force. It says whenever an unbalanced force is applied to a body, an acceleration is produced in that body. The direction of this acceleration is in the direction of the force itself. Hence, the law can be written as:
F = ma
where,
F = Unbalanced force
m = mass of body
a = acceleration magnitude
We, can write two equations separately for x-direction and y-direction as follows:
Fₓ = maₓ
Fy = may
where,
Fₓ = x-component of unbalanced force
aₓ = x-component of acceleration
Fy = y-component of unbalanced force
ay = y-component of acceleration
Bru this was a challenge......but
Answer:
Free points
Explanation:
Answer:
wdym??
Explanation:?
An ultrasound machine is being used to try to identify potential kidney stones. The machine is working properly and no kidney stones are found. Which statement best describes this situation? The generated sound wave will not be able to reflect off of the object. The sound wave will not be generated, so there will be no echoes received. The echoes will be made but will not be able to be received by the machine. The machine will not be able to process the received echoes into images.
Answer:
The generated sound wave will not be able to reflect off of the object.
Explanation:
The statement that best describes this situation is: The generated sound wave will not be able to reflect off of the object.
What is an Ultrasound Machine?An ultrasound machine is a device that is used to capture images in the human body for review by a medical examiner. The machine gives off sound waves that are reflected off body structures.
So, for the ultrasound machine being described, the absence of kidney stones will cause a non-reflection of the object to be captured.
Since the machine is in good working condition, the sound wave will be generated.
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Which of the following is a form of potential energy? O A. Sound energy O B. Elastic energy O C. Light energy O O O D. Kinetic energy
Answer:
O C. Light energy
Explanation:
it conducts energy in it and is an energy itself.
What is the maximum wavelength of incident light that can produce photoelectrons from silver? The work function for silver is Φ=2.93 eV. Tries 0/20 In this experiment, what is the minimal potential needed to fully stop the electrons if the wavelength of the incident light is 321 nm?
Answer:
4.24nm
0.385eV
Explanation:
Maximum wavelength (λmax) :
λmax = ( hc) /Φ
h = plancks constant = 6.63 * 10^-34
c = speed of light = 3*10^8
1ev = 1.6 * 10^-19
Φ = 2.93eV = 2.93* (1.6*10^-19) = 4.688*10^-19
λmax = [(6.63 * 10^-34) * (3 * 10^8)] / 4.688*10^-19
λmax = 19.89 * 10^-26 / 4.688*10^-19
λmax = 4.242 * 10^-7 m
λmax= 4.24nm
B.)
E = hc / eλ eV
λ = 3.75nm = 3.75 * 10^-7m = 375 *10^-9
E = (6.63 * 10^-34) * (3 * 10^8) / (1.6 * 10^-19) * (375 * 10^-9)
E = 19.89 * 10^-26 / 600 * 10^-28
E = 0.03315 * 10^-26 + 28
E = 0.03315 * 10^2
E = 3.315 eV
Stopping potential : (3.315 eV - 2.93eV) = 0.385eV
Which state of matter does this model represent?
Image of particles loosely packed that fill the bottom of the container
Solid
Liquid
Gas
Plasma
Answer:
Liquid
Explanation:
A liquid will fill its container and are neither tightly packed like a solid nor very loosely packed like a gas.
Answer: Its Solid
Explanation:
wave length of sodium light is 5893A express in nanometre
Answer:
589.3 nm
Explanation:
The wavelength of a sodium light is 5893 A.
We need to find the wavelength in nm.
[tex]5893\ A=5893\times 10^{-10}\ m[/tex]
Also, [tex]1\ nm=10^{-9}\ m[/tex]
[tex]5893\ A=5893\times 10^{-9}\times 10^{-1}\ m\\\\=5893\times 10^{-1}\ nm\\\\=589.3\ nm[/tex]
So, the wavelength of sodium light is 589.3 nm.
What is conflict resolution?
Identify the wavelength of this wave.
Answer:
A
Explanation:
The line(A) goes throughout the entire picture. So therefore choice A would be it's length.
A 0.964 kg radio-controlled car is driving 4.38 m/s. What is its momentum?
Unit: kg*m/s
A piano string having a mass per unit length equal to 4.70 10-3 kg/m is under a tension of 1 400 N. Find the speed with which a wave travels on this string.
Answer:
The speed of the sound wave on the string is 545.78 m/s.
Explanation:
Given;
mass per unit length of the string, μ = 4.7 x 10⁻³ kg/m
tension of the string, T = 1400 N
The speed of the sound wave on the string is given by;
[tex]v = \sqrt{\frac{T}{\mu} }[/tex]
where;
v is the speed of the sound wave on the string
Substitute the given values and solve for speed,v,
[tex]v = \sqrt{\frac{T}{\mu} }\\\\v = \sqrt{\frac{1400}{4.7*10^{-3}} }\\\\v = \sqrt{297872.34}\\\\v = 545.78 \ m/s[/tex]
Therefore, the speed of the sound wave on the string is 545.78 m/s.
there are approximately 19 billion chickens in the world. If one third of them like to cross the road, how many chickens have gone to the other side?
Answer:
57,000,000,000(fifty-seven billion)
Explanation:
19000000000/ 1/3 = 57000000000
A force of 1.50 N acts on a 0.20kg trolley so as to accelerate it along an air track
The track and force are horizontal and in line . How fast is the trolley going after acceleration from rest through 30cm , if friction is negligible
Answer:
2.12m/s
Explanation:
Given parameters:
Force on trolley = 1.5N
Mass of trolley = 0.2kg
Unknown:
Velocity of the trolley = ?
Solution:
To solve this problem, we first find the acceleration of the trolley;
Force = mass x acceleration
Acceleration = [tex]\frac{Force }{mass}[/tex]
Insert the parameters and solve;
Acceleration = [tex]\frac{1.5}{0.2}[/tex] = 7.5m/s²
Now to find the acceleration;
Initial velocity = 0m/s
v² = u² + 2aS
v is the final velocity
u is the initial velocity
a is the acceleration
S is the distance
Distance = 30cm and this is 0.3m
v² = 0² + 2(7.5)0.3 = 4.5
v = √4.5 = 2.12m/s
(20 points) An engineer is tasked with developing a model to study a cylindrical heat exchanger in a steam system. The prototype cylinder is 2.54 cm in diameter and the steam properties are: velocity
This question is incomplete, the complete question is;
An engineer is tasked with developing a model to study a cylindrical heat exchanger in a steam system. The prototype cylinder is 2.54 cm in diameter and the steam properties are: velocity = 30 m/s; density = 0.6 kg/m³; and absolute viscosity = 1.197 X 10⁻⁵ N-s/m², respectively. The model is going to be tested in a water tunnel where the water temperature is 20°C and the velocity is 3 m/s
a) what is the prototype Reynolds number, based on using the cylinder diameter as the characteristic length?
b) what should be the diameter of the model be to ensure dynamic similitude?
Answer:
a) the prototype Reynolds number is 38195.488
b) 0.01278 m or 1.278 cm should be the diameter of the model be to ensure dynamic similitude
Explanation:
Given that;
1 prototype ; d = 2.54 cm = 0.0254 m, Vp = 30 m/s, Sp = 0.6 kg/m³, Up = 1.197 × 10⁻⁵ N-s/m²
Model{ water at 20°C}; dm = ?, Vm = 3 m/s, Pm = 998.23 kg/m³, Um = 1.002 × 10⁻³ N-s/m²
a) what is the prototype Reynolds number,
to calculate prototype Reynolds number we use the expression;
(Re)p = SpVpdP / Up
we substitute our value
(Re)p = (0.6 × 30 × 0.0254) / 1.197 × 10⁻⁵
(Re)p = 38195.488
Therefore the prototype Reynolds number is 38195.488
b)
what should be the diameter of the model be to ensure dynamic similitude?
i.e dm = ?
so dynamic similarity [ viscous flow]
(Re)m = (Re)p
[PmVmdm / Um] = [SpVpdP / Up]
we substitute
[998.23 × 3 × dm / 1.002 × 10⁻³] = (0.6 × 30 × 0.0254) / 1.197 × 10⁻⁵
2994.69dm / 1.002 × 10⁻³ = 38195.488
2994.69dm = 38.2718
dm = 38.2718 / 2994.69
dm = 0.01278 m or 1.278 cm
Therefore 0.01278 m or 1.278 cm should be the diameter of the model be to ensure dynamic similitude
if something is shot straight up in the air at a speed of 17 m/s, how much time before I it will hit the ground
A skier leaves the horizontal end of a ramp with a velocity of 25.0 m/s and lands 70.0 m from the base of the ramp. How high is the end of the ramp from the ground? m
Answer:
The end of the ramp is 38.416 m high
Explanation:
Horizontal Motion
When an object is thrown horizontally with an initial speed v and from a height h, it follows a curved path ruled by gravity.
The maximum horizontal distance traveled by the object can be calculated as follows:
[tex]\displaystyle d=v\cdot\sqrt{\frac {2h}{g}}[/tex]
If the maximum horizontal distance is known, we can solve the above equation for h:
[tex]\displaystyle h=\frac {d^2g}{2v^2}[/tex]
The skier initiates the horizontal motion at v=25 m/s and lands at a distance d=70 m from the base of the ramp. The height is now calculated:
[tex]\displaystyle h=\frac {70^2\cdot 9.8}{2\cdot 25^2}[/tex]
[tex]\displaystyle h=\frac {4900\cdot 9.8}{2\cdot 625}[/tex]
h= 38.416 m
The end of the ramp is 38.416 m high
Suppose someone travels 50 mi at 50 mi/h, then travels 50 mi at 25 mi/h, then travels 50 mi at 10 mi/h.
a). My estimate is 18.75 mph.
b). The average speed is 18.75 mph.
I nailed it.
A car traveling 13 m/s to the north collides with a car traveling 19 m/s to the
south. Each car has a mass of 1250 kg. If the system is defined as the two
cars, what is the change in momentum of the system due to the collision?
O A. 16,250 kg-m/s
O B. 0 kg•m/s
O C. 40,000 kg•m/s
D. 23,750 kg•m/s
Answer: B. 0 kg*m/s
Explanation:
Aria is riding her bike. She is bent slightly over, holding onto her handlebars. She wants to go faster. Which best explains what she should do? She should bend her hips so her head is closer to the handlebars. She should sit straight up on the bike, keeping her arms tight to her body. She should spread her arms wide while sitting straight in her seat. She should flap her arms up and down like a bird.
Answer:
She should bend her hips so her head is closer to the handlebars
Explanation:
Answer:
Yea its A
Explanation:
Describe resistance and discuss how it affects current?
Answer:
Resistance decreases the flow of current in a circuit.
EXPLANATION:
The resistance of an electrical circuit is defined as the opposition to the flow of current in that particular circuit.
From Ohm's law, we know that current flowing through a wire I =
Here,V is the potential across the two ends of a conductor or wire, and R is the resistance of that wire.
Hence, more is the resistance, the less will be the current flow in the current.