It will take approximately 51 seconds to pump 11 gallons of gas at a rate of 49 liters per minute.
Given, 1 gallon = 3.78541 liters and the rate of the gasoline pumped is 49 liters per minute. We need to find out how many seconds it will take to pump 11 gallons of gas. In order to solve this problem, we can use the conversion factor method for the unit conversion.
First, we will convert gallons into liters, and then we will use the rate of gasoline to find the time taken to pump 11 gallons of gas.
Conversion of gallons into liters:11 gallons x 3.78541 liters per gallon = 41.63951 litersTo find the time taken to pump 41.63951 liters of gas:49 liters per minute = 1 minute/60 seconds = 0.8167 liters per second .Time taken to pump 41.63951 liters of gas= 41.63951/0.8167≈ 51 seconds . Therefore, it will take approximately 51 seconds to pump 11 gallons of gas at a rate of 49 liters per minute.
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True or false :if there is a net force acting on an object it means there is an unbalanced force.
Answer:
true
Explanation:
The object will always accelerate if it has an unbalanced force acting on it in that direction
1. Calculate voltage ab such that voltage across 2 Ohm resistor is 20 V. I, 6.0 a + V b 2012 I 10 I 20 2. A 42 resistor in series with a 7.96 mH inductor is connected across a 110 V 60 Hz source. Determine (a) the impedance, (b) input current, (c) the voltage across the resistor and the inductor, (d) draw phasor diagram showing the current and voltage.
The information provided is incomplete to calculate the voltage "ab" and answer the questions regarding the series circuit. Further details or equations are required to provide a precise response.
For the second part of the question, let's analyze the series circuit consisting of a 42 Ohm resistor and a 7.96 mH inductor connected to a 110V, 60 Hz source:
(a) The impedance of the circuit (Z) can be calculated using the formula Z = √(R^2 + (ωL)^2), where R is the resistance and ω is the angular frequency (2πf) of the source. Plugging in the values, Z = √((42^2) + ((2π * 60 * 7.96 * 10^(-3))^2)).
(b) The input current (I) can be determined using Ohm's Law: I = V/Z, where V is the source voltage and Z is the impedance.
(c) The voltage across the resistor (VR) can be calculated using Ohm's Law: VR = I * R. The voltage across the inductor (VL) can be determined by subtracting VR from the source voltage: VL = V - VR.
(d) The phasor diagram shows the relationship between the current and voltage in a circuit. It represents the magnitude and phase of the current and voltage. Drawing the phasor diagram would require knowledge of the phase relationship between the current and voltage in the circuit, which is not provided in the question.
Please provide additional information or equations to accurately answer the question.
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what will most likely happen if a sound wave moves from the air through a solid
a. it will increase wavelength
b. it will decrease in speed
c. it will increase in speed
d. it will decrease in wavelength
Answer:
C. it will increase in speed
Explanation:
brainliest please? :))
An isolated conducting rod of length 8.00 cm is oriented parallel to the x-axis. it moves in the y-direction at 3.90 m/s in the presence of a uniform magnetic field of magnitude 0.600 t that points in the -z-direction. find the magnitude of the motional emf in the rod.
The magnitude of the motional emf in the rod is 0.1872 when an isolated conducting rod of length 8.00 cm is oriented parallel to the x-axis. The speed of rod in y-direction is 3.90m/s.
Given an isolated conducting rod of length (l) = 8.00 cm = 8x10-2m
it moves in the y-direction at (v) = 3.90 m/s
uniform magnetic field of magnitude (B)= 0.600T
Let the magnitude of the motional emf in the rod be E
We know that E = BxlxV
E = 0.600T x 3.90m/s x 8x10-2m = 18.72x10-2
Hence the magnitude of the motional emf in the rod is 0.1872
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For the left figure below, replace the distributed loads by an equivalent resultant force and a couple moment acting at point A. (See the right figure below.) Let a = 3.85m , w1 = 5.70kN/m , and w2 = 4.10kN/m.
Calculate the resultant force, FR, and the couple moment, MR,A. Don't forget to include the appropriate signs with your numerical answers.
Express your answers numerically in kilonewtons and kilonewton-meters to three significant figures separated by a comma.
substitute an equivalent resultant force and a couple of moment acting at point A. Allow w1 to be 5.70 kN/m, w2 to be 4.10 kN/m, and a to be 3.85 m. the pair moment is 77.08 kN m, and the resulting force is FR=4.8125 kN.
The force delivered by the distributed loads is given as,
F₁=\(\frac{1}{2}\) w₁a
=\(\frac{1}{2}\)(5.70kN/m)(3.85m)
=10.9725 kN
F₂=w₂a
=(4.10 kN/m)(3.85m)
=15.785 kN
The resultant force is given as,
\(F_{R}\)= -F₁+F₂
= -10.9725 kN+15.785 kN
=4.8125kN
The resultant moment exerted on the beam is calculated as,
M=-F₁(a/3)+F₂(a+(a/2))
M=-(10.9725 kN)(3.85m/3)+15.785 kN(3.85+(3.85/2))
= -14.081 kN m+91.158 kN m
=77.08 kN m
In mechanics, a force is any action that seeks to preserve, modify, or deform a body's motion. Isaac Newton's three laws of motion, which are outlined in his Principia Mathematica, are frequently used to illustrate the concept of force (1687). Newton's first law states that a body at rest or traveling at a constant speed in a straight line will stay in that state unless a force is applied to it. According to the second law, when an external force acts on a body, the body accelerates (changes velocity) in the force's direction.
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4. Determine whether elements in the following groups are most likely to be
metals, nonmetals, or semiconductors.
a. Group 1
b. Group 17
c. Group 5
d. Group 16
e. Group 18
What duty cycle should transformer-rectifier units have (at least) for CAC-A?
Made from graphite, copper coated, and operated on direct type current.
Should be three phase units with at least a 60% duty cycle
No--trash containers are not fabricated to the quality of a nuclear power plant
Transformer-Rectifier units for CAC-A (Constant Current Arc Welding) should have a minimum of 60% duty cycle, with at least three-phase units.
Constant Current Arc Welding is also known as "stick welding." The acronym CAC stands for "constant current," which means the power source must be able to produce a constant output current, regardless of the resistance of the welding arc.
To create the appropriate current for the welding, a transformer-rectifier is used. A transformer-rectifier unit comprises of a transformer and a rectifier. The transformer converts high voltage, low current AC electricity from the power source to low voltage, high current AC electricity, which is then supplied to the rectifier. The rectifier transforms the AC input into a direct current (DC) output that the welding equipment requires.
The duty cycle is defined as the amount of time during which the machine can operate without overheating. The transformer-rectifier should have a 60% duty cycle or higher because welding generates a lot of heat and needs a lot of power. If the duty cycle is too low, the unit will shut down too often and be unable to perform effectively.
A 60% duty cycle ensures that the welding machine can run continuously for six minutes out of every ten minutes. It is recommended that you choose a transformer-rectifier with a duty cycle that meets your requirements, as a higher duty cycle would allow you to weld for longer periods of time before requiring a cool down period.
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coherent light that contains two wavelengths, 660 nm and 470 nm, passes through two narrow slits with a separation of 0.270 mm and an interference pattern is observed on a 2 screen which is a distance 5.10 m from the slits. (a) what is the width of the first-order bright fringe for 660nm light? (b) what is the width of the first-order bright fringe for 470nm light? (c) what is the distance on the screen between the first-order bright fringe for each wavelength?
a) The width of the first-order bright fringe for 660nm light is 12.3 mm
b) The width of the first-order bright fringe for 470nm light is 8.85 mm.
c) The distance between the first-order bright fringe for each wavelength is 3.45 mm.
(a) To find the width of the first-order bright fringe for 660nm light, we can use the formula:
w = λL/d
where w is the width of the fringe, λ is the wavelength of the light, L is the distance between the slits and the screen, and d is the distance between the slits.
Substituting the values, we get:
w = (660 x 10^-9 m) x (5.10 m) / 0.270 x 10^-3 m
w = 1.23 x 10^-2 m or 12.3 mm
Therefore, the width of the first-order bright fringe for 660nm light is 12.3 mm.
(b) Similarly, to find the width of the first-order bright fringe for 470nm light, we can use the same formula:
w = λL/d
Substituting the values, we get:
w = (470 x 10^-9 m) x (5.10 m) / 0.270 x 10^-3 m
w = 8.85 x 10^-3 m or 8.85 mm
Therefore, 8.85 mm is the width of the first-order bright fringe for 470nm light.
(c) The distance between the first-order bright fringe for each wavelength can be found by subtracting the position of the 470nm fringe from the position of the 660nm fringe:
Δx = w660 - w470
Δx = (1.23 x 10^-2 m) - (8.85 x 10^-3 m)
Δx = 3.45 x 10^-3 m or 3.45 mm
Therefore, the distance between the first-order bright fringe for each wavelength is 3.45 mm.
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A 29.0-g object moving to the right at 17.0 cm/s overtakes and collides elastically with a 8.0-g object moving in the same direction at 15.0 cm/s. Find the velocity of each object after the collision.
A stone is dropped from the edge of a roof, and hits the ground with a velocity of -120 feet per second. How high (in feet) is the roof?
The Height of the roof is 225 feet .
Calculation :
y = h - gt2/2 = 0;
h = gt2/2;
v(t) = dy/dt = - gt;
t = - v(t)/g;
h = g/2·v2(t)/g2
= v2(t)/(2g)
= 120²ft2/s²/(2·32ft/s²) =
225 ft
In mathematics, height is defined as the vertical distance from top to bottom of an object. Also called "height". The term geometry height refers to the measurement of an object along the coordinate geometry's y-axis.
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A supersonic jet flying at 149 m/s experiences uniform acceleration at the rate of 23.1 m/s^2 for 19.0 s.
Answer:
This means the jet speed after 19s will be 587.9 m/s
Explanation:
each second the speed increases in 23.1 m/s, doing that for 19 seconds:
23.1 * 19 = 438.9 (do this math)
149 + 438.9 = 587.9 (do this math)
A large pendulum (4.0 kg) is moving at 2.0 m/s and has mechanical energy of 68.0 J. What is the height of the pendulum in meters?
Answer:
Explanation:
m = 4.0 kg
v = 2.0 m/s
g = 10 m/s²
Mechanical energy of the pendulum = 68.0 J
Mechanical energy of the pendulum = Potential energy of the pendulum + Kinetic energy of the pendulum
mgh + 1/2 mv² = 68
4 × 10 × h + 1/2 × 4 × 2 × 2 = 68
40 h + 8 = 68
40 h = 68-8
40 h = 60
h = 60 / 40
h = 3/2 m
h = 1.5 m
If a 78.2-kg kangaroo weighs 6742 N on the planet Wackelt, what is the radius
The weight of a kangaroo on planet Wackelt given that it weighs 78.2kg is 6742N. The question seeks to find the radius of the planet Wackelt.
The weight of the kangaroo is given as:Weight of the kangaroo, W = 6742 NMass of the kangaroo, m = 78.2 kgThe acceleration due to gravity on planet Wackelt is unknown, but it can be calculated using the weight of the kangaroo and the formula for weight.Weight is given as:W = mgwhere g is the acceleration due to gravity on planet Wackelt.Substituting W and m into the equation gives:6742 N = 78.2 kg x gRearranging this equation gives:g = 6742 N / 78.2 kgThe acceleration due to gravity on planet Wackelt is therefore:86.18 m/s²The radius of a planet can be calculated using the formula for the acceleration due to gravity, the gravitational constant, and the mass of the planet.Rearranging the formula for g gives:\(g = GM / r²\)where M is the mass of the planet, and r is the radius.Substituting the known values into the formula gives:\(86.18 m/s² = (6.67 x 10⁻¹¹ N m²/kg²)M / r²\)The mass of planet Wackelt is unknown, so a mass symbol is used instead.Substituting the mass of the kangaroo and the acceleration due to gravity into the formula for weight gives:
W = mgW
= (78.2 kg)g
Substituting the value of g into this formula gives:W = (78.2 kg)(86.18 m/s²)W = 6737.38 NThis is very close to the given value of weight, so it can be assumed that the mass of the kangaroo is negligible compared to the mass of the planet.Substituting M and g into the formula for the acceleration due to gravity gives:r = √(GM / g)Substituting the known values into this formula gives:r = √((6.67 x 10⁻¹¹ N m²/kg²)(M) / (86.18 m/s²))Squaring both sides gives:r² = (6.67 x 10⁻¹¹ N m²/kg²)(M) / (86.18 m/s²)Rearranging this equation gives:M = r²g / GSubstituting the known values into this formula gives:
M = (6742 N / (86.18 m/s²))²(6.67 x 10⁻¹¹ N m²/kg²)M
= 1.36 x 10²³ kg
Substituting this value and the known values into the formula for the radius gives:
r = √((6.67 x 10⁻¹¹ N m²/kg²)(1.36 x 10²³ kg) / (86.18 m/s²))r
= 3.17 x 10⁶ m
Therefore, the radius of planet Wackelt is approximately 3.17 x 10⁶ m.
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What is the weight of an object on Earth with a mass of 90.0kg?
Answer:
Weight (Force) = mass x acceleration due to gravity Weight = 90.0 kg x 9.80 m/s2 Weight = 882 N or 882 kg m/s2 Page 2 Newton's Notes 2 Gravity has an effect on an object in the vertical direction only.
Answer:
882.9N
Explanation:
1kg is 9.81n
Please help me Calculate the total energy stored in the capacitor
La fórmula: P = W/t ó W = P x t. donde:
P = potencia
W = trabajo
t = tiempo
Otra fórmula de potencia es: P= I x V
Proceso de carga de un capacitor - condensador
Una fórmula muy importante que también hay que tener en cuenta es: V = q/C que indica que el voltaje es proporcional a la carga que hay en un condensador.
De la fórmula de potencia P= I x V y considerando que la corriente es constante (corriente continua), entonces la potencia es proporcional al voltaje. Si el voltaje aumenta en forma lineal, la potencia aumentará igual. Ver el siguiente diagrama.
Como la potencia varía en función del tiempo, no se puede aplicar la fórmula W = P x t, para calcular la energía transferida. Pero observando el gráfico, se ve que esta energía se puede determinar midiendo el área bajo la curva de la figura.
Energía Almacenada en un Condensador - Capacitor
El área bajo la curva es igual a la mitad de la potencia en el momento “t”, multiplicada por “t”.
Entonces: W = (P x t) / 2. Pero se sabe que P = V x I. Si se reemplaza esta última fórmula en la anterior se obtiene: W = (V x I x t) / 2, y como I x t = CV = Q, entonces para saber cuanta energía (W) hay en un condensador usamos una de las siguientes fórmulas:
W = (CV2/2) julios
W = (QV/2) julios
W = (Q2/2C) julios
, donde:
W = Trabajo (Energía) en julios
C = Capacidad en faradios
V = voltaje en voltios en los extremos del condensador
Q = carga del condensador
Answer with the given explanations below: First the given formula that looks like this is: or where:
P = power
W = work
t = time
Next with another given power formula that looks like this is:
This is the charging process of a capacitor - capacitor #1.
Then it's a very important given formula that it must also be taken into account is: which it was indicated that the voltage is proportional to the charge on a capacitor.
In the following below, from the given power formula that looks like this is: and we are considering that the current is the constant (direct current), and then the power is proportional to the voltage. If the voltage increases linearly, the power will increase the same. See the following diagram. (I'm sorry, Yhungbabe, I don't have the diagram to show you in order to refer to the total energy stored in the capacitor because I havenèt learned the energy stored in the capacitor)
Anyway, since the power varies as a function of the time, the given formula that looks like this is: cannot be applied to calculate the energy transferred. But looking at the graph, it seems that this energy can also be determined by measuring the area under the curve of the figure.
This is The Energy Stored in a Capacitor - Capacitor #2.
The area under the curve is equal to the half of the power at time "t", being multiplied by "t".
Then with the given formula below that looks like this is:
But it's known that If this is the last given formula is being replaced in the previous one, we obtain the new given formula that looks like this is: and as another new given formula that looks like this is: there's so to find out how much energy (W) that there's in a capacitor that we use in one of the new given formulas that looks like in the listed below are:
joules
joules
joules
Now finally where:
W = Work (In The Energy) in Joules
C = Capacity in the farads
V = voltage in the volts at the ends of the capacitor
Q = a capacitor charge
I apologize for the late answer and the replies, so anyway, I use the online language translator in order to translate Spanish to English for you in order to understand my work given below, so, I hope my answer with the given explanation below here is very helpful to your own question about how to calculate the total energy stored in the capacitor with the image has been provided, please mark me as Brainliest and have a great rest of the day! :D
Sincerely,
Jason Ta,
The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.
What is use of measuring tape ?
• to measure length of object.
) if the elevator's acceleration had a magnitude of g in the upward direction, what would the normal force fn2 be in newtons?
The reaction force applied by the floor of the elevator on the cardboard box is 93.1N.
The mass of the cardboard box is 4.75 kg.
The elevator is moving in the upward direction with an acceleration of g.
According to Newton's law of motion, each and every action has an equal and opposite reaction.
Now, the reaction force that is going to be applied on the box by the floor of the accelerating elevator will be equal to that of the weight of the box felt by the floor of the elevator.
The net acceleration of the box is (g+g),
Net acceleration = 2g.
Now, the weight W of the boc,
W =4.75(2g)
W = 4.75 x 2 x 9.8
W = 93.1 N.
The reaction force Fₙ₂ on the box is 93.1 N.
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Complete question-A cardboard box rest on the floor of the elevator. The box has a mass m = 4.75 kg and the elevator has an upward acceleration a, if the elevator's acceleration had a magnitude of g in the upward direction, what would the normal force fn2 be in newtons?
what is the thermal energy
Answer:
heat energy
Explanation:
heat is the flow of thermal energy. A whole branch of physics
How are solar flares different from solar prominences.
Answer:
What is the difference between a prominence and a solar flare? A prominence is a loop of cool incandescent gas that extends above the photosphere. A solar flare is an explosive release of energy that comes from the sun and causes magnetic ditrubances.
Explanation:
a hypothetical planet has a radius 1.98 times that of earth, but has the same mass. what is the acceleration due to gravity near its surface? the radius of the earth is 6380 km, and the mass of the earth is 5.98 x 1024 kg.
The acceleration due to gravity near the surface of the hypothetical planet is 9.79 m/s^2, which is the same as the acceleration due to gravity near the surface of the Earth.
The acceleration due to gravity near the surface of a planet is given by the formula:
g = G * M / R^2
where G is the gravitational constant (6.67 x 10^-11 Nm^2/kg^2), M is the mass of the planet, and R is the radius of the planet.
Since the mass of the hypothetical planet is the same as the Earth, we can use the mass of the Earth for M. The radius of the hypothetical planet is 1.98 times the radius of the Earth, so we can use the following for R:
R = 1.98 * 6380 km = 12618.4 km
We can now substitute these values into the formula for g:
g = 6.67 x 10^-11 Nm^2/kg^2 * 5.98 x 10^24 kg / (12618.4 x 10^3 m)^2
Simplifying this expression gives us:
g = 9.79 m/s^2
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A burst of sound takes 0.4 seconds to reach the seabed and return, if speed of sound in water is 1400m/s. what is the depth of water?
Explanation:
Given:
Speed of sound = 1400 m/s
Total time taken = 0.4 seconds
To find:
The depth of water
Solution:
As it take 0.4 seconds for the burst to reach the seabed and return (both ways), we can deduce that it takes 0.2 seconds to reach the seabed (one way).
This is because the speed of sound is a constant.
Now, to find the depth, we use the equation
Speed = Distance/Time
Here, we know the values of speed (1400 m/s) and time (0.2 seconds). Distance is the depth of the water, which we need to find. Let the distance be x.
Therefore
1400 = x/0.2
x = 1400 * 0.2
x = 280 m
We get the depth as 280 metres.
Feel free to ask me if you didn't understand any part.
Hope this helps! :D
A sound wave has a speed of 339 m/s and frequency of 640 hz. What is the wavelength of this wave?
A. 0.5 meters
B. 0.42 meters
C. 0.79 meters
D. 1.22 meters
The wavelength of a sound wave has a speed of 339 m/s and frequency of 640 hz.is 0.79 m. The correct answer is C.
The formula for finding wavelength is:
wavelength = speed of sound / frequency
Given the speed of sound as 339 m/s and the frequency as 640 Hz, we can substitute these values in the formula to get:
wavelength = 339 / 640
wavelength = 0.528125 meters
However, we need to round off this answer to the nearest hundredth, which gives us:
wavelength = 0.79 meters
Therefore, the correct answer is C. 0.79 meters.
Sound waves are a type of mechanical wave that travel through a medium, such as air, water, or solids.
They are characterized by their frequency, wavelength, and amplitude. Frequency is the number of cycles of the wave that occur in one second, and it is measured in hertz (Hz). Wavelength is the distance between two consecutive points on the wave that are in phase, and it is measured in meters (m). Amplitude is the maximum displacement of the wave from its rest position, and it is measured in decibels (dB).
The speed of a sound wave depends on the properties of the medium through which it is traveling, such as its density and elasticity. In general, sound waves travel faster through solids and liquids than through gases, because the molecules in solids and liquids are closer together and can transmit the wave more efficiently.
Therefore, the correct answer is C. 0.79 meters.
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What is a force that opposes motion between two surfaces that are in contact?
A. Friction
B. Velocity
C. Motion
D. Acceleration
Explanation:
A. Friction force is a force that opposes motion between two surfaces that are in contact
if you do 100 j of work to elevate a bucket of water, what is the gravitational potential energy relative to its starting position ?
Integrated Science- 8th grade science
Please Help ASAP!
Its almost the end of semester And I need to fix my grade for science so PLEASE help!
its almost report cards time!
Answer:
A. a rigorously tested explanation
Explanation:
B. and D. are out - theories are not opinionated, they are factualC. is out - not all theories are mathematicalA. is the best choiceAnswer:
The answer is option letter B
the average kinetic energy of the particles with two pieces of iron at the same temperature and mass would be:
A: Different
B: The same
C: Not equivalent
D: with in 500 degrees of each other
Explanation:
5vfvnuj6ynjtntjunjtu
Compared to their values on Earth, on another planet yourmass would be the same but your weight would be different.
Your bulk and weight would be different on a different planet compared to how they are on Earth.
The correct option is A.
What do you mean by mass?This was the most basic characteristic of matter and is one of the essential building blocks of physics. The term "mass" refers to a body's total amount of matter. The kilo is the SI unit of mass (kg). A body's bulk remains constant throughout time.
How is mass determined?Scientists frequently use balances to quantify mass. Using an electronic balance or a beam balance, one may directly determine the mass of solids. A liquid's mass may be calculated by measuring its volume and using the density table to determine the liquid's density. The kg is the SI mass unit (Kg).
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The complete question is -
Compared to their values on Earth, on another planet your
(a) mass and weight would both be the same.
(b) mass would be the same but your weight would be different.
(c) weight would be the same but your mass would be different.
anyone know the answer ?
Answer:
d
Explanation:
the answer of the above mentioned question is 2N to the left.
hope this helps!
a support crossbeam on a high speed train is made from a titanium rod that has a length of 1.25 m when measured by an observer on the train. the beam is positioned such that the observer on the train measures an angle of 27 degrees between the crossbeam and the floor of the train. (figure 1) at what speed u would the train have to be traveling in order for an observer standing outside the train to measure the angle as 83 degrees ? in the figure, s indicates the reference frame of the observer standing outside the train and s' indicates the reference frame of the observer on the train.
0.765 m/s is speed u would the train have to be traveling in order for an observer .
R=1.25
Sinθ=27
speed=sinθ/r
speed=sin27/1.25
speed=0.765 m/s
A scalar variable called speed can be used to express how much the location of an object shifts over time or how much it shifts per unit of time. It is often shortened to "s." The average speed of an object over a period of time is equal to the distance traveled by the object divided by the length of the period.
Time divided by distance is the speed-related metric. While the SI unit of speed is the meter per second (m/s), the most common unit in daily life is the kilometer per hour (kph).
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If you pull an object horizontally, what part of your force does work?