Answer:An antenna is an array of conductors, that is connected to the receiver or transmitter.
It transmits and receives radio waves in the horizontal directions or in a particular direction.
It may include a parasitic elements, and reflectors that can serve to direct the radio waves into a beam like pattern or some other patter.
Explanation:
It will not capture modulated radio waves.
Air at 273K and 1.01x10³Nm2 pressure contains 2.70x1025 molecules per cubic meter. How many molecules per cubic meter will there be at a place where the temperature is 223K and pressure is 1.33x10 Nm-2
The molecules of O2 that are present in 3.90 L flask at a temperature of 273 K and a pressure of 1.00 atm is 1.047 x 10^23 molecules of O2
Step 1: used the ideal gas equation to calculate the moles of O2
that is Pv=n RT where;
P(pressure)= 1.00 atm
V(volume) =3.90 L
n(number of moles)=?
R(gas constant) = 0.0821 L.atm/mol.K
T(temperature) = 273 k
by making n the subject of the formula by dividing both side by RT
n= Pv/RT
n=[( 1.00 atm x 3.90 L) /(0.0821 L.atm/mol.k x273)]=0.174 moles
Step 2: use the Avogadro's law constant to calculate the number of molecules
that is according to Avogadro's law
1 mole = 6.02 x10^23 molecules
0.174 moles=? molecules
by cross multiplication
the number of molecules
= (0.174 moles x 6.02 x10^23 molecules)/ 1 mole =1.047 x 10^23 molecules of O2
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A city bus travels 6 blocks east and 8 blocks north. Each block is 100 m long. If the bus travels this distance in 15 minutes, what is the average speed of the bus (m/s)? What is the average velocity of the city bus
Pretty sure the average speed of the bus is v = 1.55 m/s
How did earth change about 2.5 billion years ago when many organisms began using photosynthesis to make food
A. The amount of oxygen in the atmosphere increased
B. Mass extinctions occurred
C. The oceans became larger
D. Rainfall increased
1. What is the function of a lightning rod?
2. How is charge build-up reduced on airplanes?
3. Why is a ground strap a necessary safety feature when transferring fuel?
4. What are three different methods for reducing charge build-up in clothes dryers?
5. What are four different methods for reducing charge build-up in a computer room with a carpet?
Answer: 1. The function of a lightning rod is to protect buildings, structures, and people from lightning strikes by providing a path of least resistance for the electrical current to follow, directing it safely into the ground instead of through the structure or people.
2. Charge build-up is reduced on airplanes through various methods, such as using conductive materials in the airplane's structure, applying anti-static coatings on the airplane's surface, and installing static discharge wicks or similar devices on the airplane's trailing edges, which provide a way for any accumulated charge to safely dissipate into the air.
3. A ground strap is a necessary safety feature when transferring fuel because it provides an electrical connection between the fuel container and the receiving container, allowing any static charge to safely dissipate into the ground. Without a ground strap, the static charge could build up and potentially ignite the fuel.
4. Three different methods for reducing charge build-up in clothes dryers are: (1) using dryer sheets or fabric softeners, which can help neutralize static charges on the clothes, (2) adding a damp cloth to the dryer, which can help dissipate static charges, and (3) using metal dryer balls, which can physically separate clothes and prevent them from rubbing against each other and creating static charges.
5. Four different methods for reducing charge build-up in a computer room with a carpet are: (1) using conductive flooring or carpet tiles that can help dissipate static charges, (2) using anti-static mats or wrist straps for personnel who work in the room, (3) using air ionizers or humidifiers, which can help neutralize static charges in the air, and (4) grounding all equipment and devices in the room to prevent the buildup of static charges.
Explanation:
I hope this helps!
Andres buys a new scooter. He goes 8 Km north from the beach. He then
travels 5 Km to the east. Then chases a friend 8 Km north. What distance
did he cover?
What was Andres's displacement?
Answer:
Distance: 21km
Displacement: ~16.76km
A pipe drips at 155 mL/min.
Express this is units of gallons/day.
1. 2.34 gal/day
2. 15.7 gal/day
3. 942 gal/day
4. 58.9 gal/day
5. 223 gal/day
6. 377 gal/day
7. 0.223 gal/day
We have that the total pipe drip of \(X=155 mL/min.\) expressed in gallons/day is
\(X=58.96gal/day\)
From the Question we are told that
Pipe Drip\(=155 mL/min.\)
Generally
We have that for mL to gallons conversion
\(1mL=0.000264172\)
And
A minute to day con version is
\(1min=0.000694444\)
Therefore
\(X=155 mL/min.\)
\(X=155(\frac{0.000264172}{0.000694444})\)
\(X=58.96gal/day\)
In conclusion
The total pipe drip of \(X=155 mL/min.\) expressed in gallons/day is \(X=58.96gal/day\)
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A little girl pushes a 5.0 kg toy baby stroller at constant speed 7.0 m across the floor. She pushes on the handle with a force of 40 N at an angle of 30o with the horizontal. All parts are 4 points each.
Complete Question
1 a A little girl pushes a 5.0 kg toy baby stroller at constant speed 7.0 m across the floor. She pushes on the handle with a force of 40 N at an angle of 30o with the horizontal. How much work is done by the girl on the wagon?
1b A farmhand pushes 20 ㎏ bale of hay 4m across the floor of the barn if she exerts a horizontal force of 60 N on the hay, how much work is done? (5 pts)
All parts are 4 points each
Answer:
1a
\(W = 242.5 \ J\)
1b
\(W = 240 \ J\)
Explanation:
Considering question a
From the question we are told that
The mass of the toy baby stroller is \(m = 5.0 \ kg\)
The distance covered is \(d = 7.0\ m\)
The force the girl applies on the handle is \(F = 40 \ N\)
The angle at which this force is applied is \(\theta = 30^o\)
Generally the workdone is mathematically represented as
\(W = F_x * d\)
Here \(F_x\) is the force along the horizontal axis , this is mathematically represented as
\(F_x = F cos (\theta )\)
=> \(F_x = 40 * cos(30 )\)
=> \(F_x = 34.64 \ N\)
So
\(W = 34.64 * 7\)
=> \(W = 242.5 \ J\)
Considering question b
From the question we are told that
The mass of the toy baby stroller is \(m = 20 \ kg\)
The distance covered is \(d = 4 \ m\)
The force the girl applies on the handle is \(F = 60 \ N\)
Generally the workdone is mathematically represented as
\(W = F * d\)
=> \(W = 60 * 4\)
=> \(W = 240 \ J\)
an object or mass 5kg is moving at a constant velocity of 15.ms-1calculte it kenetic energy
The kinetic energy of an object with mass 5kg and a constant velocity of 15m/s is 562.5J.
How to calculate kinetic energy?Kinetic energy is the energy possessed by an object because of its motion, equal (nonrelativistically) to one half the mass of the body times the square of its speed.
The kinetic energy of an object can be calculated using the following formula:
K.E = ½ mv²
Kinetic energy = ½ × 5 × 15²
Kinetic energy = 562.5J
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Calculate the mass of air in a room if the floor dimensions are 10 mx
12 m and height 4 m. The density of air is 1.26 kgm.
604.8 kg
Explanation:Hi there !
d = m/V => m = d×V
V = l×w×h = 10m×12m×4m = 480 m³
m = 1.26kg/m³×480m³ = 604.8 kg
Good luck !
Question 2
What is the best description of the destructive interference of light?
(A) A longitudinal wave meets a transverse light wave.
(B) The crest of one wave overlaps with the trough of another.
(C) A mechanical wave meets an electromagnetic wave.
(D) The crests of two waves intersect.
Question 4
Which statement correctly compares radio waves and microwaves?
(A) Radio waves have longer wavelengths and higher frequencies than microwaves
(B) Radio waves have longer wavelengths and lower frequencies than microwaves
(C) Radio waves have shorter wavelengths and higher frequencies than microwaves
(D) Radio waves have shorter wavelengths and lower frequencies than microwaves
Question 6
Exposure to what type of radiant energy is sensed by human skin as warmth?
(A) infrared
(B) x-rays
(C) ultraviolet
(D) gamma rays
Question 8
See picture linked for prism
The image shows an example of white light entering a prism and coming out as colors of the rainbow.
How does a prism produce the colors of the rainbow from white light?
(A) by changing the wavelength of white light into other wavelengths
(B) by reflecting light with white wavelengths and transmitting light with colored wavelengths
(C) by separating the light of different wavelengths
(D) by absorbing colorless wavelengths from white light
Question 10
Which statement best explains the path light takes as it travels?
(A) Light curves to spread out through openings and move around barriers.
(B) Light takes a curved path through matter and takes a straight path through space.
(C) Light moves in a straight line except at surfaces between different transparent materials, where its path bends.
Option. (B) The crest of one wave overlaps with the trough of another is the best description of the destructive interference of light. The statement Option (B) Radio waves have longer wavelengths and lower frequencies than microwaves correctly compares radio waves and microwaves. Exposure to Option (A) infrared radiant energy is sensed by human skin as warmth. prism produces the colors of the rainbow from white light Option (C) by separating the light of different wavelengths. Option(C) Light moves in a straight line except at surfaces between different transparent materials, where its path bends.
Question 2The best description of the destructive interference of light is when the crest of one wave overlaps with the trough of another wave.
Destructive interference occurs when two waves combine to form a wave of lower amplitude.
When this happens, the crest of one wave overlaps with the trough of another, reducing the overall amplitude of the wave.
Question 4Radio waves have longer wavelengths and lower frequencies than microwaves.
This implies that they also have lower energy and are less dangerous than microwaves.
Microwaves have shorter wavelengths, higher frequencies, and higher energy than radio waves.
Question 6Exposure to infrared radiant energy is sensed by human skin as warmth.
This is because the infrared wavelengths correspond to thermal energy, which means that they cause molecules to vibrate faster and generate heat when absorbed by objects.
The sun is a source of infrared radiation that is sensed by our skin as warmth.
Question 8A prism produces the colors of the rainbow from white light by separating the light of different wavelengths.
When white light enters a prism, it is refracted and separated into its component colors because each color has a different wavelength.
This is because each color bends differently as it passes through the prism, which causes them to separate and form a rainbow of colors.
Question 10Light moves in a straight line except at surfaces between different transparent materials, where its path bends.
This bending of light is known as refraction and occurs because light travels at different speeds through different materials.
When light moves from one material to another, such as from air to glass, it changes speed and direction, causing its path to bend.
This is why lenses and prisms can be used to bend and focus light in specific ways.
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A ball is launched vertically upward from ground level with an initial velocity of 30 m/s. How much time does it take before it lands on the ground?
A transformer has a primary coil with 400 turns of wire and a secondary coil with 2,000 turns. An AC voltage source connected across the primary coil has a voltage given by the function
Δv = (180 V)sin(t).
What rms voltage (in V) is measured across the secondary coil?
The Root Mean Square (RMS) voltage measured across the secondary coil is 639.39 volts.
Given
Number of turns in the primary coil N1=400
Number of turns in the secondary coil N2=2000
Voltage across the primary coil V1max=180volts
Using ideal transformer voltage equation,
Maximum voltage across secondary coil
V2max= (N2/N1) x V1max
= ( 2000/400) x 180v
= 900 volts
Root Mean square (RMS) voltage across secondary coil
Vrms= \(V2max/ \sqrt{2}\)
= \(900/\sqrt{2}\)
= 636.39 volts
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why a liquid and not a gas must be used as the fluid in a hydraulic marchine?
(20%) Problem 5: Two identical springs, A and B, each with spring constant k=54.5 N/M, support an object with a weight W=11.6N. Each spring makes an angle of θ=20.6 degrees to vertical, as shown in the diagram.
50% Part (a) Write an expression for the tension in spring A (which is equal to the tension in spring B) in terms of W and θ.
T= W cos (θ) -sin (θ)
The expression for the tension in the spring A is T(A) = √[(-W cos(90 - θ))² + (W sin(90 - θ))²]
What is the tension in spring A?
The tension in spring A can be determined by resolving the forces into x and y components as shown below.
The angle spring A makes with horizontal is calculated as;
A = 90⁰ - θ
The horizontal component of the tension on spring A;
T(Aₓ) = -W cos(A)
T(Aₓ) = -W cos(90 - θ)
The vertical component of the tension of spring A is calculated as;
T(Ay) = W sin(A)
T(Ay) = W sin(90 - θ)
The expression for the tension in spring A is calculated as;
T(A) = √[(T(Aₓ)² + T(Ay)²]
T(A) = √[(-W cos(90 - θ))² + (W sin(90 - θ))²]
Thus, the expression for the tension in the spring A is determined through resolution of vector components.
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The circuit has a 3 volt EMF and two ohm resistors. How much power in watts does this circuit draw? A) 4.5 , B) 24, C) 1.13 D) 2.67 E) 0.375 F) 1.5
Answer:
P = 4.5 watts
Explanation:
Given that,
EMF of the circuit, E = 3 volt
The resistance of the resistors, R = 2 ohms
We need to find the power of this circuit. The relation between power, emf and resistance is given by the formula as follows :
\(P=\dfrac{V^2}{R}\)
Substitute all the values,
\(P=\dfrac{3^2}{2}\\\\P=4.5\ W\)
So, the power of this circuit is equal to 4.5 watts.
The first P-wave of an earthquake travels 5600 kilometers from the epicenter and arrives at a seismic station at 10:05 a.m. At what time did this earthquake occur?
Ahhhhhh I have a Regent's test in 2 hours and I don't know how to solve this type of question! Any help would be appreciated.
Anyone know what the steps to do this are? I dont even need an answer, just how to get to it. Thank you!
The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.
The p-waves travel with a constant velocity of 7 km/s
The time can be calculated by using the formula
t = d / v
where
T1 = 10:05 a.m
d is the distance they take to travel from the epicenter
v is the speed of the p-waves
On average, the speed of p-waves is
v = 7 km/s
d = 5600 km (given)
Substituting the values in the formula;
t = d / v
t = 5600 ÷ 7
t = 800 seconds
Converting into minutes,
t = 800 ÷ 60
t = 13.3
≈ 13 mins
T1 - 13 mins = T2
10:05 - 13 mins = 9.52 am
It means the earthquake occurred prior 13 minutes, that is at 9.52 am.
Therefore, the earthquake occurred at 9.52 am.
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Forgetting takes place only in short-term memory. Please select the best answer from the choices provided T F
Answer:
false
Explanation:
Answer:
false
Explanation:
edge
. Dan drags a box across the floor. He uses 95 N of force and moves the box 12 m. How much work does he do? 0.13 J 1,140 J 7.9 J 107 J
Answer:
\(1140\:\mathrm{J}\)
Explanation:
Work is given by \(W=F\Delta x\), where \(F\) is force and \(\Delta x\) is displacement.
Plugging in given values, we get:
\(W=95\:\mathrm{N}\cdot12\:\mathrm{m}=\fbox{$1140\:\mathrm{J}$}\).
John runs 3 km north then walks 2 km south. What is his total distance traveled and displacement?
Answer:
the total distance is 5km and the displacement is 1km
Explanation:
The total distance would be the addition of John running both ways so 3 km, 2 km.
However since he only walked back from a distance of 3 km to 2 km, he would be displaced 1 km because displacement is more like the position from the original point.
Think about 2 km as a positive value for the first part of the question and a negative value for the second part.
1.The energy that a charge has due to its position in an electric field is called:
a. electrical kinetic energy
b. electrical potential energy.
c. electrical mechanical energy.
d. electrical potential difference.
2. For electric potential energy, we must define a reference position.
a. True
b. False
3. Charges q1 and q2 are both positive and their electric potential energy is 2 J. Then, q2 is substituted with charge q3, which is negative and has twice as much charge as q2. As a result of this substitution, the potential energy of q1 and q3:
a. -4 J
b. is 2 J.
c. -2 J
d. 4 J
4. Whenever two charges are moved toward each other, the absolute value of their potential energy:
a. stays the same.
b. increases.
c. decreases.
5. Two point charges are 10 cm apart. Charge A =+ 9 μC and charge B = - 4 μC. What is the electric potential energy between these two charges?
a. -3.24 MJ
b. -3.24 J
c. +3.24 J
d. -32.4 J
e. +32.4 J
f. -3.24 GJ
6. Two electric charges repel each other. We can be sure that which of the following could never be their electric potential energy?
A) +2 J B) -2J C) +12 J D) -12 J
a. B or D
b. A or B
c. Not enough information is given to answer
d. A or C
e. C or D
7. Electric potential:
a. is the same as electrical potential energy.
b. depends on the charge at the point where it is measured.
c. measures energy per unit charge.
d. is measured in joules.
8. A potential of 2 V means that a charge of 6 C will have a potential energy of [12 J, 6 J, 2 J, 3 J] when placed at that point.
9. A charge of +5 C is at a point in an electric field where its electric potential energy of 50 J. At that point in the field, the electric potential is
a. 250 V
b. 10 V
c. 50 V
d. Impossible to calculate without knowing the distance from the source.
e. 50 J
10. A point charge q1 is at a distance d from a point charge q2, where the electric potential is 28 V. The charge q2 is then moved to a new distance 2d away from q1. The electric potential of q1 at the new position of q2 is:
a. 56 V
b. 7 V
c. 14 V
d. 112 V
e. 28 V
11. A source charge q1 is negative and a test charge q2 is positive. Then, q2 is substituted by a negative test charge with twice the magnitude of q2. As a result of this substitution, the POTENTIAL at the position of q2 due to q1:
a. stays the same
b. decreases.
c. increases.
12 By convention, the direction of a current is taken to be the direction of motion of [positive, neutral, negative] charges. In reality, it is actually [protons, neutrons, atoms, electrons] that move in wires.
13. A charge of 15 C flows through the cross-section of a wire each minute. The current through the wire is:
a. 15 A
b. 4 A
c. 0.25 A
d. 900 A
14. A current of 3 mA flows through a wire. How much charge flows through the wire in 1 hour?
a. 3 mC
b. 1.2x10^6 C
c. 10.8 C
d. 8.3x10^-7 C
15. An ampere is a unit of electrical
a. pressure
b. charge
c. None of these
d. current
e. voltage
16. As current flows through a wire, the number of [electrons, particles, voltage, circuits] stays the same.
1. b. electrical potential energy.
2. a. True. For electric potential energy, a reference position must be defined.
3. a. -4 J. The potential energy between two charges is given by the equation U = k(q1q2)/r, where k is the electrostatic constant, q1 and q2 are the charges, and r is the separation between them. Since the potential energy is given as 2 J initially, and q2 is replaced by q3 (which is negative and twice the magnitude of q2), the potential energy becomes -4 J.
4. c. decreases. The potential energy between two charges decreases as they are moved closer together.
5. b. -3.24 J. The electric potential energy between two point charges is given by the equation U = k(q1q2)/r, where k is the electrostatic constant, q1 and q2 are the charges, and r is the separation between them. Substituting the values into the equation, we get U = (9x10^(-6) C)(-4x10^(-6) C)/(0.1 m) = -3.24 J.
6. a. B or D. Electric potential energy can never be negative if the charges repel each other.
7. c. measures energy per unit charge.
8. 12 J. The potential energy is given by the equation U = qV, where U is the potential energy, q is the charge, and V is the potential. Substituting the values into the equation, we get U = (6 C)(2 V) = 12 J.
9. b. 10 V. The electric potential is given by the equation V = U/q, where V is the potential, U is the potential energy, and q is the charge. Substituting the values into the equation, we get V = 50 J/5 C = 10 V.
10. c. 14 V. The electric potential is inversely proportional to the distance from a point charge. When the distance is doubled, the potential is halved. Therefore, the electric potential at the new position of q2 is 28 V/2 = 14 V.
11. c. increases. The potential at the position of q2 due to q1 increases when a negative test charge is substituted with twice the magnitude of the positive test charge.
12. By convention, the direction of a current is taken to be the direction of motion of negative charges. In reality, it is actually electrons that move in wires.
13. c. 0.25 A. The current is defined as the rate of flow of charge. Given that 15 C flows through the wire each minute, the current is 15 C/60 s = 0.25 A.
14. b. 1.2x10^6 C. The charge flowing through the wire is given by the equation Q = It, where Q is the charge, I is the current, and t is the time. Substituting the values into the equation, we get Q = (3x10^(-3) A)(1 hour)(3600 s/hour) = 1.2x10^6 C.
15. d. current. An ampere is a unit of electric current.
16. electrons. As current flows through a wire, it is actually electrons that move. The flow of electrons constitutes the electric current.
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Find the vector whose magnitude is 5 and which is in the direction of the vector 4i -3j +k
The vector with a magnitude of 5 and in the direction of the vector 4i - 3j + k is approximately (20/√26)i + (-15/√26)j + (5/√26)k.
To solve this problemThe given vector can be normalized before being multiplied by the desired magnitude. This is how to locate the vector:
The vector that has been provided should be normalized by dividing each of its components by its magnitude. The Pythagorean theorem can be used to determine the magnitude of the vector 4i - 3j + k:
Magnitude = √(4² + (-3)² + 1²) = √(16 + 9 + 1) = √26
Normalize the vector by dividing each component by the magnitude:
Normalized vector = (4/√26)i + (-3/√26)j + (1/√26)k
Multiply the normalized vector by the desired magnitude:
To obtain a vector with a magnitude of 5, multiply each component of the normalized vector by 5:
Desired vector = 5 * ((4/√26)i + (-3/√26)j + (1/√26)k)
Simplifying the expression gives:
Desired vector ≈ (20/√26)i + (-15/√26)j + (5/√26)k
So, the vector with a magnitude of 5 and in the direction of the vector 4i - 3j + k is approximately (20/√26)i + (-15/√26)j + (5/√26)k.
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The sound from a clarinet at a distance of 5 m from a sound level meter is found to be 52 dB. If
the frequency is 1000 Hz, find (a) the sound loudness level in phons, (b) the sound intensity in
watts/meter2, and (c) the power of the source in watts.
There are 90 phones of volume, 10-7 W/m2 of sound intensity, and 0.0314 watts of source power.
Which frequency is the simplest?A straightforward frequency analysis compares the values of the fields you provide and generates a report listing each value for those fields along with the frequency at which each value occurs.
How often does sound occur?The rate at which a sound power wave repeats itself, also known as frequency or pitch, is measured in cycles per second. Bullfrog calls and cricket chirps have lower frequencies than drum beats and whistles, respectively.
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7 , 1 , 5 , 3 , multiple choice quiz is on apex
From the histogram given, there were at approximately 7 downloads between 3pm and 4pm . This can be derived by counting the rows in that time period.
What is a histogram?A histogram is a graph that depicts the frequency distribution of a few data points from a single variable.
Histograms frequently divide data into "bins" or "range groups" and count the number of data points that belong to each of those bins.
Histograms are frequently used to depict the key properties of data distribution in a handy format. It is especially beneficial when working with huge data sets (more than 100 observations). It can aid in the detection of uncommon observations (outliers) or gaps in the data.2
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24. A body A rests on a smooth horizontal table. Two bodies of mass 2 kg and 10 kg hanging freely, are attached to A by strings which pass over smooth pulleys at the edges of the table. The two strings are taut. When the system is released from rest, it accelerates at 2 m/s2 . Find the mass of A.
The two strings are taut. When the system is released from rest, it accelerates at 2 m/s2 then, Mass of A = 8m/5 kg.
Let the mass of the body A be ‘m’.
The two strings are taut so they exert a tension ‘T’ on body A.
Let ‘a’ be the acceleration produced in the system.
The free body diagram of body A is given below: mA + 2T = mA + ma = mA + m(2)mA + 10T = mA + ma = mA + m(2)
As the two strings are taut, we can say that tension in both strings is equal.
Therefore 2T = 10T or T = 5T As the body A is resting on a smooth horizontal table, there is no friction force acting on the body A.
The net force acting on body A is the force due to tension in the strings. ma = 2T – mg …(1)
As per the given problem, the system is released from rest.
Hence the initial velocity is zero.
Also, we are given that the system accelerates at 2 m/s2.
Therefore a = 2 m/s2 …(2)
From the equations (1) and (2), we get, m(2) = 2T – mg …(3)⇒ m(2) = 2×5m – mg⇒ 2m = 10m – g⇒ g = 8m/5
Thus, the mass of A is 8m/5 kg.
Answer: Mass of A = 8m/5 kg.
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A 0.75 kg mass attached to a vertical spring stretches 0.30m. a) what is the spring constant?
Answer:25N/
Explanation:
in which part of the circulatory system can the exchange of gases and nutrients take place?
A car with a mass of 800 g and velocity of 15 m/s collided with a truck of a velocity of 20 m/s, if the momentum is conserved what is the mass of the truck?
Question: A car with a mass of 800 g and velocity of 15 m/s collided with a truck moving in opposite direction with a velocity of 20 m/s, if the momentum is conserved and they both move with a common velocity of 10 m/s, what is the mass of the truck?
Answer:
0.133 kg
Explanation:
Applying the law of conservation of momentum,
Total momentum before collision = Total momentum after collision
mu+m'u' = V(m+m')................... Equation 1
Where m = mass of the car, m' = mass of the truck, u = initial velocity of the car, u' = initial velocity of the truck, V = common velocity.
From the question,
Given: m = 800 g = 0.8 kg, u = 15 m/s, u' = -20 m/s, V = 10 m/s
Substitute these values into equation 2
(0.8*15)+(m'*20) = 10(0.8+m')
Solve for m'
12-20m' = 8+10m'
-20m'-10m' = 8-12
-30m' = -4
m' = -4/-30
m' = 0.133 kg
Diesel fuel is used in the engine of trucks that carry dirt fruit and other cargo. Fuel is burned in engines to make the motor move. Which of these is the main energy transformation as the truck engines use the fuel?
Answer: Fuel is burned in engines to make the motor move.
( Chemical to Mechanical )
Explanation:
during combustion of the diesel ( when the fuel is burnt in the engine of the vehicle, the diesel ( chemical energy ) is transformed or converted to Mechanical energy. This mechanical energy is what the truck uses in moving. Without the combustion of the fuel the vehicle won’t move and the combustion of diesel is achieved through compression unlike that of fuel.
PLEASE HELP WILL MARK BRAINLIST
Which of the following factors affect friction?
Question 2 options:
the smoothest of the surfaces that are touching
the amount of force that is pressing them together
Both A and B
Neither A nor B
Answer: Both A and B
Explanation:
The objects are in contact so it would depend on the amount of force that is pressing them as to the amount of friction and it would depend on the smoothness as too the amount of friction that is added
Barry Bonds hits a 125m (450’) home run. Assuming that the ball left the bat at an
angle of 45° from the horizontal, calculate how long the ball was in the air.
The ball left the bat at an angle of 45° from the horizontal, and then the ball was in the air for 4.51 seconds.
To calculate how long the ball was in the air, we can break down the motion of the ball into its horizontal and vertical components. Given that the ball was hit at an angle of 45° from the horizontal, we can determine the initial velocities in the horizontal and vertical directions.
The horizontal component of the initial velocity (Vx) remains constant throughout the motion because there is no horizontal acceleration. The vertical component of the initial velocity (Vy) can be calculated using trigonometry, knowing that the angle is 45° and the magnitude of the velocity is 125 m (450 ft).
Vy = V * sin(45°)
Vy = 125 m/s * sin(45°)
Vy = 125 m/s * √(2)/2
Vy ≈ 88.4 m/s
Next, we can analyze the vertical motion of the ball. The ball is subject to a constant acceleration due to gravity, which is approximately 9.8 m/s². Using this acceleration, we can calculate the time it takes for the ball to reach its maximum height and then fall back down to the ground.
Using the kinematic equation:
Vy = V0y + a * t
where Vy is the final vertical velocity (which is 0 m/s at the highest point), V0y is the initial vertical velocity, a is the acceleration due to gravity (-9.8 m/s²), and t is the time.
0 = 88.4 m/s - 9.8 m/s² * t
Solving for t:
t = 88.4 m/s / 9.8 m/s²
t ≈ 9.02 s
Since the time calculated is for the total time of the ball's flight (going up and coming back down), we can divide it by 2 to get the time the ball was in the air:
t_air = t / 2
t_air ≈ 4.51 s
Therefore, the ball was in the air for approximately 4.51 seconds.
It's important to note that this calculation assumes ideal conditions and neglects factors such as air resistance, variations in gravitational acceleration, and any other external factors that could affect the ball's flight.
Know more about velocity here:
https://brainly.com/question/80295
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