Answer:
According to Newton's third law, the force exerted on each driver during the collision is equal and opposite to the force exerted on their respective vehicles. We can use the principle of conservation of momentum to find the force experienced by each driver.
The initial momentum of the car and driver is the product of their mass and velocity: (800 kg)(6.60 m/s) = 5280 kgm/s. The initial momentum of the truck and driver is (4000 kg)(6.60 m/s) = 26400 kgm/s. After the collision, the final momentum of the combined system (the car, truck, and drivers) is 0, since the collision is perfectly inelastic and the two vehicles stick together. This means that the final momentum of the car and driver is equal and opposite to the final momentum of the truck and driver.
We can set up the following equation to solve for the force experienced by the car driver:
Force (car driver) = (final momentum of car and driver) / (collision time)
= (-final momentum of truck and driver) / (collision time)
= (-26400 kg*m/s) / (0.100 s)
= -26400 N
The negative sign indicates that the force is in the opposite direction of the initial momentum of the car and driver. The force experienced by the truck driver is equal in magnitude to the force experienced by the car driver, so the force experienced by the truck driver is also -26400 N.
Explanation:
Position Collisions
Scenario 1: Fatima and Alberta are playing catch. Fatima is standing at
the door, while Alberta is standing 8m away to the right. Fatima throws a
paper ball to the right with a speed of 2.4m/s. Alberta realizes that she is
to far away and runs to the left at 0.6m/s. When and where will Alberta meet
the paper ball?
Alberta will meet the paper ball 8m away from Fatima's position after 13.3 seconds.
What is the seconds?
Seconds is a unit of time and is the base unit of time in the International System of Units (SI). It is described as the length of 9,192,631,770 radiation periods that correspond to the change between the two hyperfine levels of the cesium-133 atom's ground state. One second is equal to 1/60 of a minute, 1/3,600 of an hour, 1/86,400 of a day, and 1/31,536,000 of a year.
Seconds are a unit of time that is equal to one sixty-fourth of a minute. It is the base unit of measurement for time in the International System of Units (SI). One second is equal to 1000 milliseconds or 0.000277778 minutes. Seconds can be used to measure very short periods of time, such as the time it takes for light to travel from one end of a football field to the other.
To learn more about seconds visit:
brainly.com/question/26524032
#SPJ1
A small cart on a 5.0-m long air track moves with a speed of 0.75 m/s. Bumpers at either end of the track cause the cart to reverse direction and maintain the same speed. Find the period and frequency of this motion.
The frequency of the cart's motion for a distance of 10.0 meters is 0.075 Hz (Hertz), which means the cart completes 0.0775 round trips per second.
1) Period (T):
The period (T) is the time taken for one complete round trip. The cart travels from one end to the other and back in one round trip.
T = (distance/speed)
T = (10.0 / 0.75 )
T = 13.33 seconds
So, the period of the cart's motion for a distance of 10.0 meters is approximately 13.33 seconds.
2) Frequency (f):
The frequency (f) is the number of complete round trips per unit time. It is the reciprocal of the period.
f = 1 / T
f = 1 / 13.33
f = 0.075 Hz
So, the frequency of the cart's motion for a distance of 10.0 meters is approximately 0.075 Hz (Hertz), which means the cart completes approximately 0.0775 round trips per second.
To know more about the frequency:
https://brainly.com/question/29739263
#SPJ12
A tornado lifts a truck 252 m above the ground. As the storm continues, the tornado throws the truck horizontally. It lands 560 m away from where it was picked up. How fast was the truck traveling horizontally through its flight
A tornado lifts a truck 252 m above the ground. As the storm continues, the tornado throws the truck horizontally. It lands 560 m away from where it was picked up. The truck will travel at -78.1 m/s and its time of flight is 17.44 seconds.
Distance of any body or an object is the total path covered by it in a particular time. We can calculate the distance of any object covered by it using the equations of motion in our question. we can also convert equation of motion in our favor to find our answer in a proper format to find our answer by the proper use of equation of motion. By this information we can formerly consider that a tornado lifts a truck 252 m above the ground. As the storm continues, the tornado throws the truck horizontally. It lands 560 m away from where it was picked up. The truck will travel at -78.1 m/s and its time of flight is 17.44 seconds.
Initial velocity = 0 , initial height = 252
[tex]dy = u\times t + \frac{1}{2} at^{2}[/tex]
[tex]dy = u\times t +0.5 gt^{2}[/tex]
[tex]252 =0+ 4.9t^{2}[/tex]
t = 7.17 seconds
horizontal:
v = [tex]\frac{dx}{t} =560\times7.17=[/tex]=78.103 m/s
To the nearest tenth; 78.1 M/s
Learn more about distance:
brainly.com/question/15172156
#SPJ4
Due to the drivers not paying attention, a small car and a big truck collide, both are initially moving at 25 mph towards each other. Compare the magnitude of the force the truck exerts on the car to the magnitude of the force the car exerts on the truck. Which force is greater? Which vehicle would you rather ride in? Describe why you made your choice.
As a result, the amount of force the truck exerts on the automobile is equal to the amount of force the truck exerts on the car.
As per Newton's third law of motion
If object A applies a force to object B, then object B must apply a force to object A in the opposite direction and of equal strength. This rule illustrates a symmetry in nature whereby forces always occur in pairs and that no body can exert a force without also being subjected to one.
Because the accident is a head-on collision, according to Newton's third law, both the automobile and the truck will exert equal force against one another.
As a result, it will be safe to ride in the truck since the automobile will accelerate more quickly under the same force due to its lighter weight. Bigger acceleration results in a greater change in velocity, which increases the driver's workload.
For more questions on Newton's third law of motion
https://brainly.com/question/25998091
#SPJ4
In fact, in the absence of air resistance, the amount of ____ energy when the ball is held motionless above the floor equals the amount of ____ energy at impact with the floor.
the following blanks are gravitational potential energy and kinetic energy
Gravitational potential energy is the energy that an object has due to its position in a gravitational field.It is given by the equation Ep = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object above a reference point. Kinetic energy is the energy an object possesses by virtue of its motion. It is given by the equation Ek = 1/2mv^2, where m is the mass of the object and v is its velocity.
learn more about Kinetic energy here:
https://brainly.com/question/26472013
#SPJ4
A curve in the road is treated as a horizontal circle. A car drives around the curve with a constant translational velocity of 14 m/s, and the total horizontal force on the driver is 130 N. What is the total horizontal force on the driver if the translational velocity around the same curve is 18 m/s
The total horizontal force on the driver if the translational velocity around the same curve is 18 m/s is 215 N.
What is a force?The word 'force' has a precise meaning. At this level, it is completely appropriate to describe a force as a push or a pull. A force is not something that an object contains or 'has in it'.
Calculation -:In ∑F=m rv 2,
both m and r are unknown but remain constant.
Symbolically,
write ∑F slow =( r m )(14.0m/s) 2
and ∑F fast =( r m )(18.0m/s) 2
Therefore, ∑F is proportional to v 2 and increases by a factor of ( 14.018.0 ) 2
as v increases from 14.0m/s to 18.0m/s.
The total force at the higher speed is then
∑F fast =( 14.018.0 )
2 ∑F slow =( 14.018.0 ) 2 (130N)
=215N
To know more about force visit:
brainly.com/question/13191643
#SPJ4
The three wave pulses in the figure(Figure 1) travel along the same stretched string.
Rank in order, from largest to smallest, their wave speeds va, vb, and vc.
The wave pulses always travel in the same direction. Each pulse differs significantly in terms of amplitude. Va = vb = vc as a result.
Pulses come in a wide variety of sizes and forms and are just dried seeds from legumes. The four most popular pulses—beans, chickpeas, lentils, and peas—and some of its variants will be described, illustrated, and given common names in this book.
The edible seed of a legume plant is known as a pulse. Peas, lentils, and beans are examples of pulses. As an illustration, a pea pod is a legume, while the pea within is a pulse.
The fastest and slowest waves should be calculated. The three scenarios in the illustration each illustrate a different amplitude of the wave with the same string.
Consequently, va = vb = vc.
Learn more about pulses visit: brainly.com/question/3521932
#SPJ4
What causes the tectonic plates to move?
Answer:
The heat from the radioactive processes within the planets inferior causes the plates to move sometimes away from each other. This movement is called the tectonic shift
how long after closing the switch s will the potential across each capacitor be reduced to 15.0 v ?
The time taken can be calculated by the equation: t = -RC ln(15/50)
To determine how long after closing the switch s the potential across each capacitor will be reduced to 15.0 V, we need to know the initial potential across the capacitors, the capacitance value and the resistance in the circuit.
When a switch is closed, the potential across a capacitor decreases exponentially with time according to the equation:
V(t) = V0e^(-t/RC)
Where V0 is the initial potential across the capacitor, t is time, R is the resistance in the circuit, and C is the capacitance.
In this case, the initial potential across each capacitor is 50.0 V, and the resistance in the circuit is 80 ohms.
To find the capacitance value we need to know that the capacitors are parallely connected, which means that the total capacitance is the sum of the individual capacitances:
Ctotal = C1 + C2
Once we have the capacitance value, we can find the time constant RC:
RC = R / Ctotal
Now we can use the equation above to find the time it takes for the potential to decay to a certain percentage of the initial value.
For example, if we want to find the time it takes for the potential to decay to 15.0 V (30% of the initial value), we can use the following equation:
15.0 V = 50.0 Ve^(-t/RC)
and we can solve for t:
t = -RC ln(15/50)
It's worth noting that this is an estimation and that in real world situations the resistance and capacitance values are also affected by other factors such as leakage current or parasitic capacitances.
Read more about Capacitance:
https://brainly.com/question/14746225
#SPJ4
A golf ball rolls up a hill toward a miniature-golf hole. Assign the direction toward the hole as being positive. a. If the ball starts with a speed of 2.0 m/s and slows at a constant rate of 0.50 m/s2, what is its velocity after 2.0 s
The velocity of the ball is 1 m/s which starts with a speed of 2.0 m/s and slows at a constant rate of 0.5 m/s².
According to the data given:
Speed of the ball: 2.0 m/s
Acceleration: 0.50 m/s²
Time is 2.0 s
The ball starts rolling up the hill with a speed of 2m/s (u=2 m/s²) and it decelerates at a constant rate of 0.5 m/s² (a = -0.5 m/s², minus because it decelerates).
The equation for calculating velocity is:
v = u + a x t, t represents time here
So, ball's velocity after 2 seconds is:
v = 2m/s + (-0.5m/s² x 2s)
v = 2m/s + (-1m/s)
v = 1m/s
Learn more about acceleration:
brainly.com/question/28743430
#SPJ4
What is the charge Q on the capacitor immediately after the switch is moved to position b?
Express your answer using two significant figures.
Answer must be in microC.
18 μC is the charge Q on the capacitor immediately after the switch is moved to position b .
The expression for the charge on the capacitor is as follows :
Q = CV
substitute 2.0 μF for C and 9V for V.
Q = (2μF) {[tex]\frac{1 * 10^{-6} F }{1μF}[/tex]} (9V)
= 18 * [tex]10^{-6}[/tex] C
≈ 18 μC
Charge is not stored in capacitors. In reality, capacitors store an unbalanced charge. If a capacitor's one plate has one coulomb of charge stored on it and the other plate has one less, the total charge (added up over both plates) will be zero.
Formula q=CV, where q is the charge stored, C is the capacitance, and V is the applied voltage, describes this relationship.
Always, current flows from -ve to +ve. As a result, charge will move away from the -ve plate and towards the +ve plate. Therefore, the charge on a capacitor always equals the charge on the positive plate, never the negative.
The link between a capacitor's capacitance, its charge, and the voltage across it.
For such more questions on charge on capacitor:
brainly.com/question/29100869
#SPJ4
A point particle of charge -5.40 nC is located at the origin of a Cartesian coordinate system. Determine the magnitude of the electric field due to this charge at a distance of 23.0 cm from the charge.
The magnitude of the electric field due to this charge at a distance of 23.0 cm from the charge is 918.7 N/C.
Given that,
Charge on point particle Q = -5.4 nC = -5.4 × 10⁻⁹ C
Distance from the charge r = 23 cm = 23 × 10⁻² m
The relation between distance charge and electric field is known to be,
E = 1/4πε₀ × Q/r² = 9 × 10⁹ × (-5.4 × 10⁻⁹)/(23 × 10⁻²)² = (9 × 5.4)× 10⁴/(23)² = 918.7 N/C
Thus, the magnitude of the electric field due to this charge at a distance of 23.0 cm from the charge is calculated to be 918.7 N/C.
To know more about electric field:
https://brainly.com/question/14595416
#SPJ4
A truck was traveling at 24 m/s in came to a stop in 8 seconds. What was the truck's average acceleration over
that time period?
-3 m/s²
2 m/s²
3 m/s²
16 m/s²
Answer:
-3 m/sExplanation:
how I don't know I just guessed but now yall knowThe distance your vehicle travels from the time the eyes see a hazard to the time the brain knows it's a hazard is called:
The distance your vehicle travels from the time the eyes see a hazard to the time the brain knows it's a hazard is called perception distance.
Distance perception refers to a process in which a viewer perceives an interval between two points in space. Perception distance is the distance a vehicle travels from the moment you see a hazard until your brain recognizes it. For an alert driver, this is about 3/4 of a second. The velocity of your car affects the distance needed to stop it. The stopping distance is persistent by three factors: perception distance, reaction distance, and braking distance. Perception time is how long it endures to recognize a condition and comprehend that you require to stop.
To learn more about perception distance visit here:
https://brainly.com/question/13034462
#SPJ4
An electron is projected with an initial speed v0 = 1. 10106m/s into the uniform field between the parallel plates in the figure. Assume that the field between the plates is uniform and directed vertically downward, and that the field outside the plates is zero. The electron enters the field at a point midway between the plates.
(a)If the electron just misses the upper plate as it emerges from the field, find the magnitude of the electric field.
(B) suppose that in the figure, the electron is replaced by a proton with the same initial speed. Would the proton hit one of the plates?
(c) what would be the direction of proton's displacement? upward or downward?
(d) compare the paths traveled by the electron and the proton and explain the differences
The electron feels a force upward as it passes between the charged plates and narrowly avoids striking the top plate. It just misses the to plate by a small amount as it moves higher.
The explanation for the above answer:The proton will accelerate less and miss the plates since it is more massive. We once more utilise the kinematic equation to determine the vertical displacement when it occurs for the plates.
y=1/2at²=1/2eE/mp(1.25×10-8s)
² \s=2.73×10-6m
As stated in (b), the proton won't collide with one of the plates because, despite the fact that the electric force felt by the proton and the electrons is identical, the electric force produces a smaller acceleration than g, making it plausible to disregard gravity.
To learn more about electron visit:
brainly.com/question/1255220
#SPJ4
Write the equation of the line that represents the relationship between the two relative temperature scales degrees Fahrenheit and degrees Celsius. The information below is useful.Water freezes at (0 Celcius degrees, 32 Farenheit degrees)
Water boils at (100 Celcius degrees, 212 Farenheit degrees)
Celsius (C) scale to its Fahrenheit (F) relation is [tex]F = \frac{9}{5} C + 32[/tex].
The degree Celsius is a temperature unit on the Celsius scale, which is one of two temperature scales employed by the International System of Units (SI) alongside the Kelvin scale. The degree Celsius (symbol: °C) can refer to a certain temperature on the Celsius scale or a unit used to represent the difference or range between two temperatures. It is named after Anders Celsius (1701-1744), a Swedish astronomer who invented a comparable temperature scale in 1742. The measurement was previously known as centigrade, from the Latin centum, which means 100, and gradus, which represents steps, until being changed in 1948 to honour Anders Celsius.
The Fahrenheit scale is a temperature scale that was proposed by scientist Daniel Gabriel Fahrenheit in 1724. The degree Fahrenheit is the unit of measurement. Fahrenheit temperature scale, based on the freezing point of water at 32° and the boiling point of water at 212°, with the distance between the two split into 180 equal parts.
To learn more about Celsius and Fahrenheit scales, here
https://brainly.com/question/15710274
#SPJ4
The moon Phobos orbits Mars
(mass = 6.42 x 1023 kg) at a distance
of 9.38 x 106 m. What is its period of
orbit?
period of orbit is 2136.63 m/s if The moon Phobos orbits Mars (mass = 6.42x 1023 kg) at a distance of 9.38 x 106 m.
What is the full meaning of distance?noun. the extent or amount of space between two things, points, lines, etc. the state or fact of being apart in space, as of one thing from another; remoteness. a linear extent of space: Seven miles is a distance too great to walk in an hour.
How is distance measured?The SI unit for distance is the meter (m). Short distances may be measured in centimeters (cm), and long distances may be measured in kilometers (km). For example, you might measure the distance from the bottom to the top of a sheet of paper in centimeters and the distance from your house to your school in kilometers.
To know more about distance visit
https://brainly.com/question/13034462
#SPJ1
Assume air resistance is negligible unless otherwise stated. Calculate the displacement in m and velocity in m/s at the following times for a rock thrown straight down with an initial velocity of 14.4 m/s from the Verrazano Narrows bridge in New York City. The roadway of this bridge is 70.0 m above the water. (Enter the magnitudes.) (a) 0.500 s displacement m velocity m/s (b) 1.00 s displacement m velocity m/s (c) 1.50 s displacement m velocity m/s (d) 2.00 s displacement m velocity m/s (e) 2.50 s displacement m velocity m/s
Answer:
(a) 0.500 s displacement 70.0 m - 7.2 m velocity 7.2 m/s
(b) 1.00 s displacement 70.0 m - 28.8 m velocity -13.6 m/s
(c) 1.50 s displacement 70.0 m - 57.6 m velocity -20.4 m/s
(d) 2.00 s displacement 70.0 m - 92.8 m velocity -24.0 m/s
(e) 2.50 s displacement 70.0 m -134.4 m velocity -25.2 m/s
Does thermal energy increase or decrease during melting?
Thermal energy increases during melting.
When ice melts during melting, its temperature remains constant until all the ice turns into water. Then, heating of liquid water causes the molecules to vibrate faster and steadily increasing the temperature.
What is thermal energy?Thermal energy refers to the energy contained within a system that is responsible for its temperature. Heat is the flow of thermal energy. A branch of physics, thermodynamics, concerns with how heat is transferred among different systems.
An example of thermal energy is boiling water on a stove. When boiling water, thermal energy is produced when the atoms and molecules in a substance vibrate faster because of raising in temperature.
Learn more about thermal energy at: https://brainly.com/question/18989562
#SPJ4
A block of mass mm is initially at rest on a rough horizontal surface when a constant force FF is exerted on it, as shown. The block accelerates to the right and is moving with speed vv once it has moved a distance dd. Which of the following equations can be used to solve for the force of friction exerted on the block by the surface?
F m v2 А F-f= 2d B F-f=ma с F-f= mv2 2d D f-F = mv2 d E f-F = mv2 2d
Block B on the exterior f-F = ma c f-F = mv2 2d f-F = D = mv2 d f-F E f-F = v2 2d.
What is meant by mass surface?A thing's top, exterior, or outermost layer: Tropical rain forests once covered 10% of the earth's surface. The marble has a smooth, polished surface.
The surface of the picture is covered in little fissures. The bowl's exterior has a glossy finish. The wood was rough on the outside. Ice-covered roads ought to be avoided. The phrase "on the surface" describes how something seems, even if it isn't really the case.
The formulas F- f = mv2 / d can be used to determine the force of friction that the surface exerts on the block.
Briefing:
F - f = ma
a = v/t
t = d/v
F - f = m × v / t
F- f = m ×
F- f = m × v²/d
Therefore,
F- f = mv² / d
To learn more about mass surface refer to:
brainly.com/question/19385703
#SPJ4
A construction worker drops a 1.9 kg hammer from a roof that is 6.25 m high. What is the velocity of the hammer when it strikes the ground?
The velocity of the hammer of mass 1.9 kg is 11.07 m/s.
What is velocity?Velocity is the rate of change of displacement.
To calculate the velocity of the hammer, we use the formula below.
Formula:
v = √2gh................... Equation 1Where:
v = Velocity of the hammerg = Acceleration due to gravity = 9.8 m/s²h = Height of the roof = 6.25 mSubstitute these values into equation 1
v = √(2×9.8×6.25)v = √122.5v = 11.07 m/sLearn more about velocity here: https://brainly.com/question/24445340
#SPJ1
Diana raises a 1000 N piano a distance of 5.00 m using a set of pulleys. She pulls in 20.0 m of rope. How much effort force did Diana apply if this was an ideal machine
The amount of effort force applied by Diana if this was an ideal machine is 250 N.
How is force effort determined?The load is typically divided by the number of ropes to determine the effort. The mass must be divided by the quantity of ropes.
What unit does effort refer to?Hours per person, days, weeks, or something else could be your unit of work. (If you are using a scrum-based project approach, you may have chosen to assess effort in relative terms, using points (story points), in which case you can omit any information in the Effort fields.)
What is an illustration of force of effort?For instance, when using a shovel, you keep one end steady to serve as the fulcrum and use the other hand to pull up on a load of dirt. The dirt being scooped up is the resistance force, and the second hand is the effort force.
Given:
Load force = 1000 N
Load distance = 5.00 m
Effort distance = 20.0 m
For ideal machine,
Effort force × Effort distance = Load force × Load distance
[tex]Effort force= \frac{1000*5.00}{20.0}[/tex]
Effort force = 250N
To know more about effort force visit:
https://brainly.com/question/27700154
#SPJ4
1
Glucose provides energy for cells. Different cells have different mechanisms for glucose intake. Intestinal cells contain proteins that transport glucose against its concentration gradient. These proteins couple the movement of glucose to the movement of sodium down its concentration gradient. Red blood cells have transporter proteins embedded in their membranes. When bound by a glucose molecule, these proteins change shape and allow glucose to move down its concentration gradient into the cell.
Based on this information, what type of transport is used for glucose in blood and intestinal cells?
A.
Both blood and intestinal cells take in glucose by passive transport.
B.
Blood cells take in glucose by passive transport and intestinal cells take in glucose by active transport.
C.
Both blood and intestinal cells take in glucose by active transport.
D.
Blood cells take in glucose by active transport and intestinal cells take in glucose by passive transport.
Answer:
C. In the passage, it seems that both of the cells have the same job, so I would go with C.
Which feature makes it possible to manually adjust the amount of exposure and light that a camera uses
It also assumes that many of your portrait are in focus. A wide aperture setup admits so much light into to the lens and lessens the depth of field.
what does a camera do?A cameras is a piece of equipment that takes pictures and comprises of either a plate or light-sensitive film inside of a light-proof casing. The camera's shutters opens and closes during the taking of a picture, exposed the photosensitive film to sight and recording the scene on the film.
The traditional camera depicted in the illustration has been largely replaced by digital cameras and mobile phones today.
Less light enters the lens through a tiny aperture. Additionally, it suggests that more your photo will be sharp. More light enters the lens when the aperture is wide open, but the field of view is also reduced. You can change the aperture setting to help balance overall exposure and control the amount of the composition is already in focus.
To learn more about camera follow the given link:
brainly.com/question/7825772
#SPJ4
A quarterback throws a ball at 50.00 m/s,and reaches the receiver 0.56 seconds later.What is the distance from the quarter back to the receiver
Answer: 64 m is the maxium distance the ball can travel
What are the 5 types of electrical incidents?
Electrical burns can occur in a variety of ways, including arc burns, low voltage burns, high voltage burns, mouth burns, flash burns, and flame burns.
What are electrical incidents?Electric shock, a serious electrical mishap, or a fatal electrical event are all considered electrical incidents.
For the purposes of reporting and analysis, incident definition types let you attribute the appropriate type to safety events. Having only the two types of incidents—Accident and Near Miss—is one strategy.
An occurrence or scenario that has a number of serious repercussions and necessitates the implementation of special measures by one or more emergency responder agencies is referred to as a big incident.
Any electrical incident that results in or has the potential to result in: death or serious bodily harm to a person; significant property damage; or a serious risk to the public safety must be reported, according to the Electrical Safety (General) Regulations of 2019.
To learn more about Electrical refer to:
https://brainly.com/question/18568165
#SPJ4
What is the relationship between changes in air pressure in wind speeds, answers, when a high and low pressure, air mass or close together. It moves slowly from high to low pressure, when I have high and low pressure MS are far apart and is quickly from low to high pressure, when a high and a low pressure area, so far apart, and move slowly from high to low pressure, when a high in a low
Answer:
Explanation:
Gases move from high-pressure areas to low-pressure areas. And the bigger the difference between the pressures, the faster the air will move from the high to the low pressure. That rush of air is the wind we experience.
Answer:
points are needed
Explanation:
CANT DO IT
i neeeed herlp For numbers 14a-14d, tell which expressions require you to rename mixed numbers before you can subtract.
14a. LaTeX: 5\frac{2}{5}-2\frac{1}{4}5 2 5 − 2 1 4
[ Select ]
14b. LaTeX: 5\:-\:2\frac{7}{8}5 − 2 7 8
[ Select ]
14c. LaTeX: 7\frac{2}{3}\:\:-\:6\frac{1}{8}7 2 3 − 6 1 8
[ Select ]
14d. LaTeX: 9\frac{1}{6}-5\frac{2}{3}9 1 6 − 5 2 3
[ Select ]
14 a, 14 b, 14 c, and 14 d are the Expressions that require renaming mixed numbers before we can subtract.
Actually, there are a few steps to convert normal fractions into a mixed fractions. The steps are as follows:
firstly, we have to find the whole number to do this we divide the numerator by the denominator. secondly, Get the new numerator: To get a new number we should calculate in step one and multiply it by the original denominator. The result of that multiplication is then subtracted from the original numerator.After that Our mixed fraction, we need to put the whole number together with our new numerator and original denominator.finally, Simplifying our fraction.Solving one by one with the help of the given options:
1) 14a
[tex]5\frac{2}{5}-2\frac{1}{4} \\\\\frac{17}{5} -\frac{9}{4} \\\\\frac{68-45}{20}\\\\ \frac{23}{20} =1\frac{3}{20}[/tex]
2)14b
[tex]5-2\frac{7}{8} \\\\\frac{5}{1} -\frac{7}{8} \\\\\\\frac{40-23}{8}\\\\ \frac{17}{8} =2\frac{1}{8}[/tex]
3)14c
[tex]7\frac{2}{3} -6\frac{1}{8} \\\\\frac{23}{3} -\frac{49}{8} \\\\\frac{184-147}{8} \\\\\frac{37}{24} =1\frac{13}{24}[/tex]
4)14d
[tex]9\frac{1}{6} -5\frac{2}{3}\\\\ \frac{55}{6}-\frac{17}{3}\\\\ \frac{165-102}{18} \\\\\frac{63}{18}=3\frac{9}{18}[/tex]
To know more about mixed fractions:
https://brainly.com/question/2752311
#SPJ4
If the material fails when the average normal stress reaches 120 psi, determine the largest centrally applied vertical load p the block can support
Determine the highest centrally applied vertical load p the block can support if the material breaks when the average normal stress reaches 120 psi.
What is meant by material?Objects are made of material, which is a substance or combination of substances. Material can be either pure or impure, made of living things or inanimate objects. Materials can be categorized based on their chemical and physical makeup, as well as their geological or biological origin.The term "material" describes a substance used to create another object. Cloth or other things made of matter that are real-world objects are likewise considered to be materials. The adjective and noun material can be used in a wide variety of contexts.Students can choose to specialize in materials physics as part of their physics degree, which prepares them for high-tech jobs in fields including optical fibers, alternative energy sources, communications, transportation, electronics, and medicine.To learn more about material refer to:
https://brainly.com/question/27813161
#SPJ4
An experiment with a comb, rabbit fur and paper confeti was conducted. The comb was rubed against the fur and then was put next to paper confeti. The confeti sticks. Then the fur was put next to it. What happened to the fur and confeti?
Answer:
Static electricity, specifically electrostatic attraction has occurred.
Explanation:
This phenomenon is known as static electricity, which involves the buildup of electric charges on the surface of a material. It can occur when two materials come into contact and then separate, transferring electrons from one material to the other. When you rub the comb against the rabbit fur, you transfer some of the electrons from the fur to the comb, leaving the fur with a positive charge and the comb with a negative charge. This charge separation creates an electric field around the comb and the fur. When you bring the comb and fur near the paper confetti, the negatively charged electrons in the confetti are attracted to the positive charge on the fur and the confetti sticks to the fur. This process is known as electrostatic attraction.