The magnitude of the momentum for the combined wreck is equal to 2p, which is equal to the magnitude of the momentum of each vehicle before the collision.
What is meant by magnitude of momentum?
The magnitude of momentum is a scalar quantity that describes the amount of motion an object has. It is defined as the product of an object's mass and velocity, and is a measure of how difficult it is to stop an object or change its velocity. The magnitude of momentum is a scalar quantity and is always positive.
In an inelastic collision, the total momentum of the two vehicles is conserved, but the kinetic energy is not. This means that the magnitude of the total momentum of the two vehicles before the collision is equal to the magnitude of the total momentum of the combined wreck after the collision.
Let's call the magnitude of the momentum of each vehicle before the collision "p". Then, the total momentum before the collision is 2p. After the collision, the combined wreck will have a single velocity, which we can call "v". The magnitude of the momentum of the combined wreck will be equal to the mass of the combined wreck multiplied by the magnitude of its velocity, which we can represent as mv.
Since the total momentum is conserved, we have:
2p = mv
where m is the total mass of the combined wreck.
So, the magnitude of the momentum for the combined wreck is equal to 2p, which is equal to the magnitude of the momentum of each vehicle before the collision.
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For the normal force in the figure to have the same magnitude at all points on the vertical track, the stunt driver must adjust the speed to be different at different points. Suppose, for example, that the track has a radius of 3.6 m and that the driver goes past point 1 at the bottom with a speed of 17 m/s. What speed must she have at point 3, so that the normal force at the top has the same magnitude as it did at the bottom?
The speed she must have at point 3, so that the normal force at the top has the same magnitude as it did at the bottom is 19 m/s.
What is the speed of the driver?
The speed she must have at point 3, so that the normal force at the top has the same magnitude as it did at the bottom is calculated as follows;
mv₁²/r + mg = mv₃²/r - mg
v₁²/r + g = v₃²/r - g
v₃² - rg = r ( v₁²/r + g )
v₃² = v₁² + rg + rg
v₃² = v₁² + 2gr
v₃ = √ ( v₁² + 2gr )
where;
v₃ is the speed at point 3r is the radius of the pathg is acceleration due to gravityv₃ = √ ( 17² + 2 x 9.8 x 3.6)
v₃ = 19 m/s
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part 1 of 2 An ideal gas is compressed to half its original volume while its temperature is held con-stant. If 758 J of energy is removed from the gas during the compression, how much work is done on the gas? Answer in units of J.
The work done on the ideal gas is 758 joule.
What is internal energy?The amount of energy required to move a thermodynamic system from its initial internal state to the current internal state of interest, accounting for energy gains and losses resulting from changes in the internal state, including factors like magnetization, is the amount of internal energy in the system.
As the decrease in internal energy is 758 Joule but the temperature of the ideal gas does not change, total work done is = total loss in internal energy = 758 joule.
Hence, the work done on the ideal gas is 758 joule.
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Mani has two digital stopwatches, C1 and C2, which he is using to measure the speed of a car. He does not know
how accurate the stopwatches are. He starts both the stopwatches at the start of a race on a track that is
exactly 5 km long.
When the car reaches the end point, stopwatch C1 shows 300 seconds and C2 shows 310 seconds.
Which of the following can we say based on this?
A. C1 is more accurate than C2.
B. C2 is more accurate than C1
C. Both C1 and C2 have the same accuracy.
D. The experiment cannot tell us which stopwatch is accurate.
The experiment cannot tell us which stopwatch is accurate. Then the correct option is D.
What is accuracy?There are two ways to assess observational error: accuracy and precision. Precision measures how closely two measurements are to one another, whereas accuracy measures how close a group of measurements is to its actual value. In other words, precision is both a measure of empirical unpredictability and a description of experimental noise.
Mani is measuring the speed of a car using two digital stopwatches, C1 and C2. He is unsure of the accuracy of the stopwatches. At the beginning of a race on a track that is exactly 5 km long, he starts both stopwatches.
There is no other information is given so that the stopwatches can be judged.
Thus, the correct option is D.
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In a dry desert environment, the climate will typically show wide temperature swings on a daily basis, from very cold to very hot. Florida
typically has much smaller temperature swings. What causes that difference?
O a
O b
C
Od
The water surrounding Florida
The lower altitude of Florida
Increased sunshine in Florida
The shorter daylight period in the desert
The main cause of the difference in temperature on a daily basis is because of the water surrounding the Florida.
What is temperature?The average thermal energy of the particles in a substance is measured by its temperature. It is a way to express how hot or cold an object is in relation to a reference point, typically a standard temperature scale like Celsius or Fahrenheit. It reflects the heat content of a body.
Florida's proximity to huge bodies of water, which have a moderate impact on the temperature, is mostly to blame for the difference in temperature swings between Florida and a dry desert climate. The water steadily absorbs heat and releases it, lowering temperature swings and fostering a more stable atmosphere. Florida also has a lower altitude than most other states, which helps to stabilize its temperature. Temperatures in Florida are kept warmer in part by the state's increasing sunshine. The larger temperature variations in the desert may also be a result of the shorter daylight hours, as the daytime temperatures can get quite hot and the overnight temperatures can go very low.
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what is the magnitude of the electric field 2.8 cm from a tiny object that carries an excess charge of -16 nc?
The required magnitude of electric field from a tiny object is calculated to be -18.36× 10⁴ c.
The object carries a charge (q) of -16 nc.
q = - 16 × 10⁻⁹ c
The distance (d) from the charge is given as 2.8 cm.
d = 2.8 cm = 2.8 × 10⁻² m
The expression for calculating electric field is known to be,
E = kq/d²
where,
k is electrostatic constant (9× 10⁹N/m²c²)
q is charge
d is distance
When we enter the values into the formula,
E = kq/d² = (9 × 10⁹ × - 16 × 10⁻⁹)/(2.8 × 10⁻²)² = (-16×9× 10⁴)/(2.8 × 2.8) = -18.36× 10⁴ c
Thus, the required electric field is calculated to be -18.36× 10⁴ c.
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Explain how the mass of a planet affects the motion of the planet around the sun? Justify your response in two or more
complete sentences in the essay box below.
The mass of a planet affects the motion of the planet around the sun through the force of gravity.
How does mass affect motion of planets?According to Newton's law of universal gravitation, every object in the universe attracts every other object with a force proportional to the product of their masses and inversely proportional to the square of the distance between them.
The greater the mass of a planet, the stronger its gravitational pull and the more it affects the motion of other celestial objects in its vicinity, including its own orbit around the sun.
In summary, the mass of a planet is a crucial factor that determines its motion around the sun, as it affects the strength of the gravitational forces acting on the planet and its orbit.
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in the united states. which is not a potential reason for the rise in the frequency of iowobirthwcight babies?
There are main potential reason Genetic factors for the rise in the frequency of low birth weight babies in the United States, but it is not accurate to say that any one particular reason is not a potential cause.
Some of the most commonly cited factors that can contribute to low birth weight include maternal smoking, poor maternal nutrition, lack of access to prenatal care, maternal stress, and medical conditions such as diabetes or high blood pressure. Additionally, environmental factors such as air pollution, exposure to toxins, and social determinants of health, such as poverty and lack of education, can also play a role.
It is important to note that the causes of low birth weight are often complex and multifactorial, and can vary from person to person and from pregnancy to pregnancy. In order to address this issue, it is important to consider a comprehensive and individualized approach that addresses the multiple factors that can contribute to low birth weight.
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The complete question is
In the United States, which is NOT a potential reason for the rise in the frequency of low-birthweight babies?
A. Genetic factors
PLEASE HELP ASAP!!
An elevator has a mass of 250.0 kg. The sign inside the elevator says the maximum load that can be hauled in the elevator is 1000.0 kg. If the elevator accelerates upward at 3.25m/s² . What is the maximum force (Ft) that can be exerted on the cable? (Fnet = Fg + Fa must be used). (sketch a force body diagram of the scenario and label all forces)
The cable can withstand a tensile stress of up to 3265 N.
What in science is a force?It is appropriate to use the terms "push" or "pull" to describe a force at this moment. A power that something "contains" or "has in it" does not exist. A force is exerted on one item by another. The definition of a force includes both living and non-living things.
Here, T is the cable's tension force, m is the elevator's mass, g is gravity's acceleration (9.81 m/s2), and an is the elevator's upward acceleration.
The elevator's net force is supplied by:
Fnet = Fg + Fa
The sources of the gravitational pull are:
Fg = m * g
= 250.0 kg * 9.81 m/s²
= 2452.5 N
The force due to the elevator's acceleration is given by:
Fa = m * a
= 250.0 kg * 3.25 m/s²
= 812.5 N
The net force on the elevator is therefore:
Fnet = Fg + Fa
= 2452.5 N + 812.5 N
= 3265 N
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a spectrometer uses a grating with 12300 lines/cm. find the angle at which red light, 634.3 nm, has the first-order bright band.
The angle at which the red light has the first-order bright band is 0.053 degrees.
The diffraction angle for red light with a wavelength of 634.3 nm can be found using the formula:
[tex]\theta = sin^-1 (n\lambda/L)[/tex],
where n is the order of diffraction (1 for first-order), λ is the wavelength, and L is the number of lines per centimeter.
Therefore,
n = 1
λ = 634.3 nm = 634.3 * 10^(-9) m
L = 12300 lines/cm = 12300 * 10^(-2) lines/m
Plugging in the values, we get:
[tex]\theta = sin^-1 (1 * 634.3 * 10^{-9} / (12300 * 10^{-2} ))[/tex]
Converting the result from radians to degrees gives us approximately 0.053 degrees.
This is the angle at which the first-order bright band for red light will occur in the spectrometer using a grating with 12300 lines/cm.
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a point charge is placed 46 cm from an identical charge. how much work would be required to move a test charge from a point midway between them to a point 12 cm closer to either of the charges?
The work required to move a test charge of +0.50 C from a point midway between two identical charges of +35 C, 46 cm apart, to a point 12 cm closer to either of the charges would be W = 2.6 x 10^-5 J.
This can be calculated using the equation W = (1/4πε_0) q1 q2 / r, where q1 and q2 are the charges of the two charges, and r is the distance between them. In this case, q1 = q2 = 35 C, and r = 34 cm, so the work required is W = 2.6 x 10^-5 J.
Electrical charge is a fundamental property of matter that exists in two types: positive and negative. Positive charges are attracted to negative charges, while negative charges are attracted to positive charges. This phenomenon is known as electrostatic attraction.
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you are playing baseball alone practicing your catching technique. you throw the ball up into the air and catch it after 5 seconds have passed. how fast did you throw the ball initially physics
To calculate the initial speed of the ball, you can use the equation v = s/t, where v is the velocity of the ball, s is the distance the ball traveled, and t is the time it took for the ball to travel that distance.
In this case, the ball traveled a distance of 9.8 meters (the height of the ball when first thrown, plus the height of the ball when it was caught) in 5 seconds, so the initial velocity of the ball would be 9.8 meters/5 seconds, or 1.96 m/s.
Initial speed is the speed of an object at a specific point in time. It is typically represented by the letter 'u' or 'v'. For example, if an object is thrown with an initial speed of 30 m/s, its speed at time t = 0 is 30 m/s.
Initial speed can also be used to calculate the average speed of an object over a period of time. For example, if an object moves at a speed of 10 m/s for 5 seconds and then has a speed of 20 m/s for another 5 seconds, its average speed over the 10 second period is 15 m/s.
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isaac is mixing green, blue, and red paints together, and it looks like a muddy mess rather than pure white. why? the wavelengths are subtracted, rather than added. the wavelengths are added, rather than subtracted. more light is reflected as he mixes the colors. the colors have the same wavelengths.
Isaac is mixing green, blue, and red paints together, and it looks like a muddy mess rather than pure white then the wavelengths are subtracted, rather than added.
Additive and subtractive color mixing are the two major methods of color blending. A procedure known as additive color mixing involves adding one set of wavelengths to another set of wavelengths to produce a new hue. When lights of various wavelengths are combined, additive color mixing results. We see white light rather than numerous distinct hues when we combine all of the sun's various wavelengths. Because all of the wavelengths still reach our eyes, it is called additive. The variety of colors is produced by combining various wavelengths. By removing wavelengths from a light source with a wide spectrum of wavelengths, subtractive color mixing produces a new hue. When we combine paints, dyes, or pigments, subtractive color mixing takes place.
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a parallel-plate capacitor is charged by a battery and then disconnected. what will happen to the charge on the capacitor and voltage across it if the separation between the plates is decreased and the area is increased?
If the separation between the plates is decreased and the area is increased, the capacitance of the capacitor will increase, and the voltage across the capacitor will decrease.
What is voltage?
Voltage, also known as electric potential difference, is a measure of the electric potential energy per unit charge in an electrical system. It is commonly denoted as "V" and is expressed in volts (V). The voltage difference between two points in an electrical circuit represents the energy required to move a unit of electric charge from one point to the other.
When a parallel-plate capacitor is charged by a battery and then disconnected, the charge on the capacitor remains constant. This is because the charge is stored on the plates and does not change until the capacitor is connected to a circuit.
If the separation between the plates is decreased, the capacitance of the capacitor increases. This means that the voltage across the capacitor decreases, as the formula for capacitance, C = Q/V, shows that if the charge, Q, is constant, then the voltage, V, decreases as the capacitance increases.
If the area of the plates is increased, the capacitance of the capacitor also increases. This means that the voltage across the capacitor decreases, as the formula for capacitance, C = εA/d, shows that the capacitance is proportional to the area of the plates, A.
In summary, if the separation between the plates is decreased and the area is increased, the capacitance of the capacitor will increase, and the voltage across the capacitor will decrease.
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A 1 kg ball is held motionless above the ground and then released. At impact, it was traveling at 5.50 m/s. How much potential energy did it have before it was released?
Group of answer choices
5 J
12.7 J
15.1 J
9.2 J
Potential energy of the ball before it was released is 15.1 Joule. Hence, option (C) is correct
What is energy?Energy, which is observable in the execution of labour as well as in the form of heat and light, is the quantitative quality that is transferred to a body or to a physical system in physics.
Energy is a preserved resource; energy can only be transformed from one form to another and cannot be created or destroyed.
From the law of conservation of energy:
Potential energy before released = kinetic energy during impact
Hence, Potential energy before released = 1/2 × 1 × 5.50² Joule
= 15.1 Joule.
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a system containing an electric device is well-insulated. if the energy of the system increases 16 kj during a process, what is the electric work performed on the system?
The electric work performed on the system is 16 kJ.
If the energy of a well-insulated system containing an electric device increases by 16 kJ during a process, then the work done on the system must be equal to the change in energy of the system. Since the system is electric, the work done on the system is electric work.
Therefore, the electric work performed on the system is equal to the change in energy of the system, which is:
Electric work = Change in energy
Electric work = 16 kJ
So the electric work performed on the system is 16 kJ.
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when we describe electric flux, we say that a surface is oriented in a certain direction with respect to an electric field. when we try to calculate how much electric field passes through the surface, we make use of the:
When we try to calculate how much electric field passes through the surface, we make use of the: In the center of a uniformly charged ring, there is no electric field.
How does the direction of a surface impact the flow of electricity?
When a surface is perpendicular to the field (right panel), no field lines intersect it and there is no electric flux through it. The flux through the surface is between zero and the maximum value if the surface is rotated with respect to the electric field.
The electric flux through a surface only depends on the amount of charge contained by the surface, according to the electrostatics principle known as Gauss's theorem. It is independent of the size and contour of the surface. As a result, for all figures, the electric flux across the surface is the same.
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2-82 the tank truck is half filled with water. determine the magnitude of the resultant force on the elliptical back
The magnitude of the resultant force on the elliptical back will be equal to the difference between gravity and normal force.
The weight of the water and the force of gravity pressing on it determine the size of the resulting force on the elliptical tank truck. The water in the tank truck serves as a weight, creating a force of gravity proportionate to its mass. This force acts vertically downwards and is equal to the weight of the water, which can be estimated by multiplying the mass of the water by the gravity acceleration (g = 9.8 m/s^2).
When the tank truck is half full, the weight of the water may be estimated by multiplying the volume of water by its density and gravity acceleration. The volume of water may be calculated by taking the volume of the elliptical tank and dividing it by half. Water's density is constant and equal to 1000 kg/m3.
The total of the vertical components of gravity and normal force equals the size of the resulting force on the elliptical tank truck. The normal force is equal to the weight of the water and acts vertically upwards, against the force of gravity.
The amount of the resulting force on the elliptical back may be calculated by calculating the weight of the water, determining the force of gravity operating on it, and taking into account the normal force acting in the opposite direction.
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planet x has an estimated mass of 1.78x1027 kg, while its diameter is approximately 142,984 km. consider the planet as a perfect sphere. what is the density of planet x in g/cm3? volsphere
1.16g/cm3 is the density of planet x in g/cm3 if planet x has an estimated mass of 1.78x1027 kg, while its diameter is approximately 142,984 km.
Radius = diameter/2
Radius of the planet X = 142984km/2 = 71492km = 71492000m = 7149200000cm
Volume of the planet X = (4/3) × 3.143 × ( 7149200000cm)3 = 1.53× 1030cm3
mass of the planet X = 1.78 × 1027 kg = 1.78 × 1030g
Density = mass /volume
Density of the planet X = 1.78 ×1030g/1.53×1030cm3 = 1.16g/cm3
Density is defined as d = M/V, where d represents density, M is mass, and V is volume. Density is generally measured in grammes per cubic centimetre. Water, for example, has a density of 1 gramme per cubic centimetre, but Earth has a density of 5.51 grammes per cubic centimetre. Density is sometimes measured in kilos per cubic metre (in metre-kilogram-second or SI units).
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A micrometeor has a mass of 0.005 grams. When it enters Earth's atmosphere, it travels at 21,000 meters per second. What is its kinetic energy when it enters Earth's atmosphere? KE=1/mv² (1 point) O 0.0525 J O 1,102.5 J O 1,102,500 J O 2,205 J E
Help me please
The kinetic energy of the micrometeor, given it has a mass of 0.005 grams and enters the Earth's atmosphere with a velocity of 21000 meters per second is 1102.5 Joules
How do I determine the kinetic energy of the micrometeor?The following data were obtained from the question:
Mass of micrometeor (m) = 0.005 g = 0.005 / 1000 = 0.000005 KgVelocity of micrometeor (v) = 21000 meters per secondKinetic energy of micrometeor (KE) =?The kinetic energy of the micrometeor can be obtained as follow:
KE = ½mv²
KE = ½ × 0.000005 × 21000²
KE = 1102.5 Joules
Thus, from the above calculation made above, it is very clear that the kinetic energy of the micrometeor is 1102.5 Joules
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Answer:
(Question 1) Terry kicks a soccer ball that is sitting motionless on the field. What is the best description of the energy transfer?
(Answer) Kinetic energy is transferred from Terry’s foot to the soccer ball.
(Question 2) Which of the following scenarios best shows the transfer of kinetic energy?
(Answer) a baseball bat strikes a baseball
(Question 3) A bowling ball is traveling at 7.6 meters per second when it hits a pin. If the bowling ball has a mass of 6 kilograms, how much kinetic energy does it have when it hits the pin?
(Answer) 173.28 J
(Question 4) What happens when a tennis racket hits a ball?
(Answer) Kinetic energy is transferred from the racket to the ball.
(Question 5) A micrometeor has a mass of 0.005 grams. When it enters Earth’s atmosphere, it travels at 21,000 meters per second. What is its kinetic energy when it enters Earth’s atmosphere?
(Answer) 1,102.5 J
Explanation:
I just did the quick check
if a ping-pong ball and a golf ball both move in the same direction with the same amount of kinetic energy, the speed of the ping-pong ball must be
The speed of the ping-pong ball is more than that of the golf ball. Correct option is C.
If the kinetic energy of each ball is equal to that of the other,
(1/2) (mass of ppb) (speed of ppb)² = (1/2) (mass of gb) (speed of gb)²
where,
ppb is ping-pong ball
gb is golf ball
Multiplying each side by 2,
(mass of ppb) (speed of ppb)² = (mass of gb) (speed of gb)²
Divide each side by (mass of gb) and by (speed of ppb)²:
(mass of ppb)/(mass of gb) = (speed of gb)²/(speed of ppb)²
Take square root of each side,
√ (ratio of their masses) = ( 1 / ratio of their speeds)²
If their kinetic energies are equal, then the product of each mass and its speed² must be the same number.
If one ball has less mass than the other one, then the speed² of the lighter one must be greater than the speed² of the heavier one, in order to keep the products equal.
Thus, the pingpong ball is moving faster than the golf ball.
The given question is incomplete. The complete question is 'A. less than golf ball B. same as golf ball C. more than golf ball D. impossible to know'
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what type of unconformity is shown in the image? multiple choice question. isotopic unconformity disconformity angular unconformity nonconformity
angular unconformity is a type of unconformity shown in image.
A significant gap in the stratigraphic record caused by a prolonged pause in deposition is known as an unconformity. The majority of unconformities are the result of relative uplift, which results in some of the previously established record being eroded. These gaps can be seen everywhere sedimentary sequences have been analyzed. The magnitude of the missing intervals ranges from a chronozone to entire eras. The time represented on a specific unconformity surface varies laterally, and unconformities are typically regional in scope.
When horizontally parallel sedimentary rock strata are deposited over tilted and eroded layers, the resulting angular discordance with the horizontal layers is known as an angular unconformity.
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Question:
what type of unconformity is shown in the image
isotopic unconformity
disconformity
angular unconformity
nonconformity
In Fig. 22−35 the four particles form a square of edge length a=5.00 cm and have charges q1=+10.0 nC,q2=−20.0 nC,q3=+20.0 nC, and q4=−10.0 nC, In unit vector notation, what net electric field do not particles produce at the square's center?
The net electric field that the particles produce at the square's center will be [tex]E_n_e_t = -2.03[/tex].
To find the net electric field at the center of the square, we need to calculate the electric field due to each particle at that point and then add them up vectorially.
Let's assume that the bottom left corner of the square is at the origin, and the positive x-axis points to the right and the positive y-axis points upwards. Coordinates of four particles:-
q1: (0,0)
q2: (a,0)
q3: (a,a)
q4: (0,a)
here, a = 5.00 cm.
Using the Coulomb's law, the electric field due to each particle at the center of the square:-
[tex]E_1 = k * q_1 / r_1^2[/tex],
here,
[tex]r_1 = a/\sqrt{2}[/tex] is distance between q1 & center of the square.
Since [tex]q_1[/tex] is a positive charge, the direction of its electric field is towards the center of the square.
[tex]E_1 = k * q_1 / r_1^2 * (-i - j)[/tex],
Putting values:-
[tex]E_1 = (9 * 10^9 Nm^2/C^2) * (10.0 * 10^-^9 C) / [(5.00/\sqrt{2} ) m]^2 * (-0.707i - 0.707j)[/tex]
[tex]= -2.03 * 10^5 N/C * (0.707i + 0.707j)[/tex]
Similarly, we can find the electric fields due to q2, q3, and q4:
[tex]E_2 = k * q_2 / r_2^2 * (i)[/tex],
here,
[tex]r_2 = a/2[/tex] is distance between q2 and the center of the square. The direction of its electric field is towards the right:-
[tex]E_2 = (9 * 10^9 Nm^2/C^2) * (-20.0 * 10^-^9 C) / [(5.00/2) m]^2 * i[/tex]
=[tex]-1.44 * 10^6 N/C * i[/tex]
[tex]E_3 = k * q_3 / r_3^2 * (i + j)[/tex],
here,
[tex]r_3 = a/\sqrt{2}[/tex] is distance between [tex]q_3[/tex] and the center of the square.
The direction of its electric field is towards the upper right:-
[tex]E_3 = (9 * 10^9 Nm^2/C^2) * (20.0 * 10^-^9 C) / [(5.00/\sqrt{2} ) m]^2 * (0.707i + 0.707j)[/tex]
= [tex]4.06 * 10^5 N/C * (0.707i + 0.707j)[/tex]
[tex]E_4 = k * q_4 / r_4^2 * (j)[/tex],
here,
[tex]r_4 = a/2[/tex] is distance between [tex]q_4[/tex] and center of the square.
The direction of its electric field is upwards:-
[tex]E_4 = (9 * 10^9 Nm^2/C^2) * (-10.0 * 10^-^9 C) / [(5.00/2) m]^2 * j[/tex]
[tex]= -7.20 * 10^5 N/C * j[/tex]
These four electric fields combine to form the net electric field at the center of the square:
[tex]E_n_e_t = E_1 + E_2 + E_3 + E_4[/tex]
Putting values:-
[tex]E_n_e_t = -2.03[/tex]
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felescope a's mirror has three times the diameter of telescope b,s. \-' how much greater is as light-gathering power?
The light gathering power of Telescope A is 9 times greater than that of B. Option D is the correct answer.
This means that even stars too faint to be detected by the eye can easily be 'brightened' by the telescope so that they are easy to detect and study. Light Gathering Ability is the property of an optical system that tells you how much brighter things will appear than what the human eye can see.
Light gathering power of telescope is proportional to the square of diameter of telescope. The diameter of telescope a is 3 times than that of telescope b.
[tex]\dfrac{P_a}{P_b} = \dfrac{d_a^2}{d_b^2}[/tex]
[tex]\dfrac{P_1}{P_2} = \dfrac{3d_2^2}{d_2^2}\\\dfrac{P_1}{P_2} = 9[/tex]
The light gathering power is 9 times that of telescope b.
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--The complete question is, Telescope A's mirror has three times the diameter of telescope B's. How much greater is A's light-gathering power?
A 3 times.
B 6 times
C 8 times.
D 9 times
E 27 times.--
If you pull a pendulum with a mass of 7.4 kg back at an angle of 13°, what is the magnitude of the restoring force on it?
When the pendulum is brought back at an angle of 13°, there is a about 1.67 N restoring force on it.
What force is the restoring force in a straightforward pendulum in straightforward harmonic motion?A simple pendulum's restoring force is directed towards the mean position when it moves in a simple harmonic motion (lowest point). Here, the force of gravity acts as the restoring force at the centre of mass of the bob.
f_restoring = -m * g * sin(θ)
Where:
m = 7.4 kg (mass of the pendulum), g = 9.8 m/s^2 (acceleration due to gravity), θ = 13° (angle of displacement)
Converting the angle to radians:
θ = 13° * (π / 180) = 0.226 rad
Substituting the values into the equation:
f_restoring = -7.4 kg * 9.8 m/s^2 * sin(0.226 rad) = -7.4 kg * 9.8 m/s^2 * 0.226 = -1.67 N
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The efficiency of a petrol car engine is 40%. The speed of the car is 9.0 m s−1 when the power developed by the
engine is 20 kW. Calculate how many kilometres the car can go with one litre of petrol when driven at this speed.
The car will travel 6.12 km one litre of petrol when driven at this speed
Given the energy provided by one liter of gasoline e = 34 * 10⁶ Joules
efficiency of the car = 40%
The speed of the car is 9.0 ms⁻¹
Power of the car = P = 20 kW
The useful energy produced by the car is equal to
= P * e
Therefore the useful energy is
= 34 * 10⁶ * 40/100
= 1.36 * 10⁷ Joules
Now, we can say that car consumes 20 ± 10³ J/s to travel at the speed of 9 m/s
The time for which the car will keep moving at this speed using the energy provided by 1 liter of fuel is
[tex]t=\frac{1.36*10^{7} }{20*10^{3} }[/tex] = 680 sec
The distance travelled by car during this time is
d = 9 * 680
d= 6.12 km
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Given the orbital radius and period of a satellite orbiting the Earth, what minimum information about the Moon would be necessary for Kepler's laws and Newton's laws to be used to confirm the mass of the Earth based on its relationship to the Moon?
Pls help me explain this. TY!
To confirm the mass of the Earth using Kepler's laws and Newton's laws, the time period of moon, the semimajor axis of its orbit has to be known.
What is Kepler's law?The orbits of planets around the Sun are described by Kepler's laws of planetary motion in astronomy. As per the three laws:
A planet's orbit is an ellipse with one of its two foci being the Sun.A line segment connecting a planet and the Sun sweeps out the same amount of space over the same amount of time.A planet's semi-major axis length and orbital period are inversely related to one another.Learn more about Kepler's law here:
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which is greater a force of 100 N or the weight of 50 kg on earth’s surface
Answer:
this ans is 42.85
Explanation:
i dont not explain but i hipe you get it
a car is moving at the rate of 45 miles per hour, and the diameter of its wheels is 2.5 feet. (round your answers to one decimal place.) (a) find the number of revolutions per minute that the wheels are rotating. 18 rev/min (b) find the angular speed of the wheels in radians per minute. rad/min
Number of revolutions per minute that the wheels rotates is 504rev/min and angular speed is 3160 rad/min.
Angular speed is characterized as the pace of progress of rakish relocation, and it is communicated as follows: ω = θ t where θ is the precise uprooting, t is the time and ω is the precise speed Rakish Speed Unit The unit of precise speed is radian each second. A similar recipe addresses both precise speed and rakish speed.
The unit of angular speed is radian each second. A similar recipe addresses both precise speed and rakish speed. Angular speed is a vector amount that communicates both bearing and size, while precise speed portrays greatness as it were.
It is given that rate of car is 45 miles/hr.
Firstly,we convert this into inches/min.
In 1mile=5280feet
=>45mile=45×5280
In 1 feet=12inches
=>45×5280feet=45×5280×12inches/hr
In 1 hr=.(45×5280×12)/60inches/min.
Now,we have diameter=2.5feet
=>Therefore,radius=2.5/2=1.25feet=1.25×12inches
So,angular speed=(45×5280×12)/60inches/min / 1.25×12inches
=>angular speed=(47520)/15=3168
Now,number of revolutions is =Distance/Circumference
=>Number of revolutions=(45×5280×12)/60 / 2×3.14×1.25×12
=>Number of revolutions=47520/94.2
=>Number of revolutions=504.45
Hence,number of revolutions=504 and angular speed is 3168/min.
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According to the Stop the Static Campaign reading by the Petroleum Equipment Institute (PEI), there were 36 ignitions of gasoline vapors during the refueling process reported to PEI between 1999-2000.
What did all 36 of these incidents have in common?
The common cause for ignition of gasoline vapors during refueling is
static electrical discharge.
What is static electricity?Static electricity is an imbalance of electric charges within or on the surface of a material or between materials.
In petrol pumps,
During refueling, many petroleum products become electrically charged when they flow through pipes and hoses, including gasoline, kerosene, petrol, diesel etc. which are poor electrical conductors.
Charge remains until it is able to move away by means of an electric current or electrical discharge which causes the static spark that can ignite gasoline vapors, causing a flash fire.
Hence, static electrical discharge is common cause of all 36 incidents of gasoline vapor ignition.
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Problem 5
A 300 kg pig is standing at the top of a muddy hill on a rainy day. The hill is 30 m high.
A. What is the total initial energy of the pig?
B. Half way down the hill what is the KE of the pig?
C. What is the pigs speed half way down the hill?
Mass of pig,
m=430 kg
Length of hill,
L=100m
Vertical drop,
h=37.4 m
By the law of conservation of mechanical energy we have
m(g)h=1/2mv²
417×9.8×37.4=0.5×417v²
v=27.1m/s
What is energy?
Increase your consumption of foods that will help you build more muscle and stronger bones. Common types of energy include the kinetic energy of a moving object, potential energy stored by an object (for instance because of its location in a field), elastic energy present in solid objects, chemical energy linked to chemical reactions, radiant energy carried by electromagnetic radiation, and internal energy present within a thermodynamic system.
All living things constantly use and expend energy. Any stationary object that has mass (referred to as rest mass) also has an equivalent amount of energy (referred to as rest energy), as well as any additional energy. This is referred to as mass-energy equivalence.
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