Richard is driving home to visit his parents. 150 mi of the trip are on the interstate highway where the speed limit is 65 mph . Normally Richard drives at the speed limit, but today he is running late and decides to take his chances by driving at 80 mph. How many minutes does he save?
Answer:
t = 25.5 min
Explanation:
To know how many minutes does Richard save, you first calculate the time that Richard takes with both velocities v1 = 65mph and v2 = 80mph.
\(t_1=\frac{x}{v_1}=\frac{150mi}{65mph}=2.30h\\\\t_2=\frac{x}{v_2}=\frac{150mi}{80mph}=1.875h\)
Next, you calculate the difference between both times t1 and t2:
\(\Delta t=t_1-t_2=2.30h-1.875h=0.425h\)
This is the time that Richard saves when he drives with a speed of 80mph. Finally, you convert the result to minutes:
\(0.425h*\frac{60min}{1h}=25.5min=25\ min\ \ 30 s\)
hence, Richard saves 25.5 min (25 min and 30 s) when he drives with a speed of 80mph
Given that average speed is distance traveled divided by time, determine the values of m
m
and n
n
when the time it takes a beam of light to get from the Sun to the Earth (in s
s
) is written in scientific notation. Note: the speed of light is approximately 3.0×
×
108 m/s
m
/
s
.
Explanation:
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that
DIY
sthtegtmemyem5ue5myeume5ume56ira healthy person has a body temperature of 37 degree celsius. if they jump into an ice bath after sports training their temperature only decreases slowly. how can you explain this when a lump of metal at 37 celsius degree placed in the same ice bath cools down to 0 celsius degree in only a couple of minutes
Select the correct answer.
A boat moves 60 kilometers east from point A to point B. There, it reverses direction and travels another 45 kilometers toward point A. What are the total
distance and total displacement of the boat?
O A.
OB.
O C.
O D.
The total distance is 105 kilometers and the total displacement is 45 kilometers east.
The total distance is 60 kilometers and the total displacement is 60 kilometers east.
The total distance is 105 kilometers and the total displacement is 15 kilometers east.
The total distance is 60 kilometers and the total displacement is 45 kilometers east.
The total distance is 105 kilometers and the total displacement is 15 kilometers east. Option C
How to solve for the total distanceTo calculate the total distance, we add the distances traveled in each leg of the journey: 60 kilometers (from A to B) + 45 kilometers (from B back to A) = 105 kilometers.
However, displacement refers to the change in position of an object in a straight line from its starting point to its ending point. In this case, since the boat starts and ends at the same point (A), the total displacement is zero.
Hence The total distance is 105 kilometers and the total displacement is 15 kilometers east.
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Consider a Carnot heat-engine cycle executed in a closed system using 0.025 kg of steam as the working fluid. It is known that the maximum absolute temperature in the cycle is twice the minimum absolute temperature, and the net work output of the cycle is 60 kJ. If the steam changes from saturated vapor to saturated liquid during heat rejection, determine the temperature of the steam during the heat rejection process. The temperature of the steam during the heat rejection process is
Answer:
The temperature of the steam during the heat rejection process is 42.5°C
Explanation:
Given the data in the question;
the maximum temperature T\(_H\) in the cycle is twice the minimum absolute temperature T\(_L\) in the cycle
T\(_H\) = 0.5T\(_L\)
now, we find the efficiency of the Carnot cycle engine
η\(_{th\) = 1 - T\(_L\)/T\(_H\)
η\(_{th\) = 1 - T\(_L\)/0.5T\(_L\)
η\(_{th\) = 0.5
the efficiency of the Carnot heat engine can be expressed as;
η\(_{th\) = 1 - W\(_{net\)/Q\(_H\)
where W\(_{net\) is net work done, Q\(_H\) is is the heat supplied
we substitute
0.5 = 60 / Q\(_H\)
Q\(_H\) = 60 / 0.5
Q\(_H\) = 120 kJ
Now, we apply the first law of thermodynamics to the system
W\(_{net\) = Q\(_H\) - Q\(_L\)
60 = 120 - Q\(_L\)
Q\(_L\) = 60 kJ
now, the amount of heat rejection per kg of steam is;
q\(_L\) = Q\(_L\)/m
we substitute
q\(_L\) = 60/0.025
q\(_L\) = 2400 kJ/kg
which means for 1 kilogram of conversion of saturated vapor to saturated liquid , it takes 2400 kJ/kg of heat ( enthalpy of vaporization)
q\(_L\) = h\(_{fg\) = 2400 kJ/kg
now, at h\(_{fg\) = 2400 kJ/kg from saturated water tables;
T\(_L\) = 40 + ( 45 - 40 ) ( \(\frac{2400-2406.0}{2394.0-2406.0}\\}\) )
T\(_L\) = 40 + (5) × (0.5)
T\(_L\) = 40 + 2.5
T\(_L\) = 42.5°C
Therefore, The temperature of the steam during the heat rejection process is 42.5°C
If and object undergoes a change in momentum of 12 kg*m/s over a 10
second interval, what was the force exerted?
The magnitude of the force exerted on this object is 1.2 Newton.
Given the following data:
Change in momentum = 12 Kgm/s.Time = 10 seconds.What is impulse?In Science, the impulse that is experienced by an object is always equal to the change in momentum of the object, due to the force acting on an object.
Mathematically, impulse is given by this formula:
\(Impulse = change\;in\;momentum\\\\Force \times time = m \Delta V\)
Substituting the given parameters into the formula, we have:
\(Force \times 10=12\\\\Force =\frac{12}{10}\)
Force = 1.2 Newton.
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You work in the special effects department of a movie studio. You are currently working on a superhero movie where the hero is very strong and cannot be hurt by normal weapons such as a sword. In the next scene, the villain is going to hit the hero with a lead pipe. The hero's costume is mostly made of foam and carbon so that is it very light and easy to move around in but will crumble if hit with anything hard. For this scene, a section of the costume needs to be replaced with a different material that will only dent, not crumble, when hit with the pipe. You are on a deadline and look around the props department for ideas, what could you use?
A. You find sheets of copper (Cu) used in an industrial factory scene.
B. You find large discs of chlorine (Cl) used to kill bacteria in pools.
C. You find a barrel of phosphorus (P), used as a component in explosive powder.
D. You find a tank of helium (He) used for balloons.
A. Sheets of copper (Cu) could be a good option for replacing the foam and carbon material in the hero's costume. Copper is a relatively soft metal and can easily be shaped and molded. When hit with a lead pipe, it will dent but not crumble like foam and carbon. Additionally, copper has a distinctive color that could look interesting on the hero's costume.
B. Large discs of chlorine (Cl) would not be a good option for replacing the foam and carbon material. Chlorine is a highly reactive and dangerous gas that is used to disinfect swimming pools. It is not a solid material and would not provide the desired effect when hit with a lead pipe.
C. A barrel of phosphorus (P) would also not be a good option for replacing the foam and carbon material. Phosphorus is a highly reactive and flammable substance that is used as a component in explosive powder. It is not a solid material and would not provide the desired effect when hit with a lead pipe. Additionally, it is highly dangerous and should not be used in a movie set.
D. A tank of helium (He) would also not be a good option for replacing the foam and carbon material. Helium is a gas and would not provide the desired effect when hit with a lead pipe. Additionally, it is not a solid material and would not be suitable for the costume.
Overall, the best option would be A, sheets of copper, as it is a solid material that can easily be shaped and molded, and will dent but not crumble when hit with a lead pipe.
The first P-wave of an earthquake travels 5600 kilometers from the epicenter and arrives at a seismic station at 10:05 a.m. At what time did this earthquake occur?
Ahhhhhh I have a Regent's test in 2 hours and I don't know how to solve this type of question! Any help would be appreciated.
Anyone know what the steps to do this are? I dont even need an answer, just how to get to it. Thank you!
The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.
The p-waves travel with a constant velocity of 7 km/s
The time can be calculated by using the formula
t = d / v
where
T1 = 10:05 a.m
d is the distance they take to travel from the epicenter
v is the speed of the p-waves
On average, the speed of p-waves is
v = 7 km/s
d = 5600 km (given)
Substituting the values in the formula;
t = d / v
t = 5600 ÷ 7
t = 800 seconds
Converting into minutes,
t = 800 ÷ 60
t = 13.3
≈ 13 mins
T1 - 13 mins = T2
10:05 - 13 mins = 9.52 am
It means the earthquake occurred prior 13 minutes, that is at 9.52 am.
Therefore, the earthquake occurred at 9.52 am.
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Help! Don’t say the wrong answer please!!
Jamal is playing with magnetic toy vehicles. He has two identical magnetic vehicles (purple and green) on different sides of a center magnet that cannot move. His friend Simone challenges him to move one vehicle one space to the left or the right in order to get the largest increase in potential energy. That means Jamal can move the purple car to point A or point B, or he can move the green car to point C or point D.Explain which movement Jamal should make (which car and which point), and why that movement will result in the largest increase in potential energy. Describe the magnetic force that will act on the vehicle he moves.
Answer:
I think he should move the purple car to the right. good luck
What new question occurred to scientists after they discovered that the
ocean floor was not flat?
O A. Are there bathtubs that have shapes similar to that of the Mid-
Atlantic Ridge?
OB. Why is the ocean floor not flat and smooth like the bottom of a
bathtub?
C. How much cable will it take to go from North America to England?
OD. How deep is the ocean?
Answer:
b
Explanation:
The answer is B. Why is the ocean floor not flat and smooth like the bottom of a bathtub?
Scientists were surprised to find that the ocean floor was not a flat and featureless plain, but rather had mountains, valleys, and other geological features. This discovery raised questions about how these features formed and what processes were involved. Scientists began to investigate the causes of these features, such as plate tectonics and volcanic activity, and how they might have shaped the ocean floor over millions of years. Understanding the complex and dynamic nature of the ocean floor has since become an important area of study in earth science and oceanography.
the reaction of automobile exhaust and ultraviolet light question 61 options: produces industrial smog. is affecting the stratospheric ozone concentration. produces photochemical smog. forms smoke and fog.
Photochemical smog is produced. Nitrogen oxides (NOx) and volatile organic compounds (VOCs) from vehicle exhaust combine with sunlight to create photochemical smog.
What results from the reaction of sunlight and exhaust from vehicles?When sunlight interacts with nitrogen oxides and at least one volatile organic compound (VOC) in the atmosphere, photochemical smog is created. Automobile exhaust, coal-fired power plants, and industrial pollutants all produce nitrogen oxides.
What causes photochemical smog?When nitrogen oxides and volatile organic compounds (VOCs) combine with sunlight, a mixture of pollutants called photochemical smog is produced, which explains why there is a brown cloud above cities. Due to the fact that we receive the most sunshine in the summer, it tends to happen more frequently.
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An object moves from the position +16m to the position +47m in 12s. What is the total displacement? What is it’s average velocity?
Total displacement:-
\(\\ \sf\longmapsto 47-16=31m\)
time=16s\(\\ \sf\longmapsto Avg\: Velocity=\dfrac{Total\: Displacement}{Total\:Time}\)
\(\\ \sf\longmapsto Avg\: Velocity=\dfrac{31}{12}\)
\(\\ \sf\longmapsto Avg\: Velocity=2.5m/s\)
A motorcycle stoop is at a traffic light, when the light turns green, the motorcycle accelerates to a speed of 78 km/h over a distance of 50 m. What is the average acceleration of the motorcycle over this distance?
The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².
To calculate the average acceleration of the motorcycle, we can use the formula:
Average acceleration = (final velocity - initial velocity) / time
First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.
Converting the final velocity:
Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s
Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:
Average acceleration = (21.67 m/s - 0 m/s) / time
To find the time taken to reach this velocity, we need to use the formula for average speed:
Average speed = total distance/time
Rearranging the formula:
time = total distance / average speed
Plugging in the values:
time = 50 m / 21.67 m/s ≈ 2.31 seconds
Now we can calculate the average acceleration:
Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²
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In hiking, what fitness component is required of you
help pls!!
Fig above shows a wave traveling through a medium. Use the fig to answer the questions below.
A) What is the amplitude of the wave ? Include correct units.
B) Use the graph to determine the time of one wave. Use it to find the frequency.
C) If the speed of the wave is 25 cm/s, what is the wavelength of the wave ? Show data listing, equation , substitution leading to the answer for full credit.
(a) The amplitude of the wave is determined as 8 cm.
(b) The period of the wave motion is 20 s and the frequency of the wave is 0.05 Hz
(c) The wavelength of the wave is 500 cm.
What is the amplitude of the wave ?(a) The amplitude of the wave is the maximum displacement of the wave.
from the graph, amplitude of the wave = 8 cm
(b) The period of the wave motion is calculated as;
T = 20 s
The frequency of the wave = 1/T = 1/20 s = 0.05 Hz
(c) The wavelength of the wave is calculated by applying the following wave formula.
λ = v / f
λ = 25 cm/s / 0.05 Hz
λ = 500 cm
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Patrick walks 6 meters to the south, 3 meters west, 2 meters to the north, and 5 meters to the east. Which of the following is true?
A. His displacement was 4 meters.
B. His distance traveled was 6 meters.
C. His distance traveled was 16 meters.
D.His displacement was 17 meters.
What is a step down transformer
Answer:
A step down transformer is a device that can be connected to the switch and the appliance. There are two types of transformers that you should know about: step up and step down transformers. Step up transformers generally produce a higher output voltage than the input voltage.
Explanation:
Using what you have learned about research methods, what are some of the limitations of Freud’s theory of personality? 1. _______________________________________________________________________________________ 2. ________________________________________________________________________________________ 3. ________________________________________________________________________________________ 4. ________________________________________________________________________________________ 5. ________________________________________________________________________________________
Using what has been learned about research methods, some of the limitations of Freud’s theory of personality are
Scientifically, it is challenging to test his hypotheses.It is hard to quantify ideas like libido, hence they cannot be tested.Research has been done, and it tends to refute Freud's notion.Predictions of the future are too hazy.This is further explained below.
What is the Freudian theory?Generally, Id, ego, and superego, according to Freud, make up the three parts of the mind, and interactions and conflicts between these parts are what provide personality (Freud, 1923/1949).
The id, according to Freudian thought, is the psychological trait that serves as the foundation for our most primal instincts.
In conclusion,
Scientifically, it is challenging to test his hypotheses.It is hard to quantify ideas like libido, hence they cannot be tested.Research has been done, and it tends to refute Freud's notion.Predictions of the future are too hazy.Read more about Freudian theory
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in pushes a 500 N crate with an applied force of 1450 N to the left. He encounters a fridtional force of 200 N and his evil co-worker Jim adds a
500 N opposing force to the right. What is the magnitude and direction of the net force
A.1750 N. Right
B.2650 N Left
C. 750 N. left
Answer:
C. 750 N. left
Explanation:
let the force to the right be positive, and the left be negative
Step one:
given
mass of crate m= 500N
1450N force left
Frictional force of 200 N -----this opposes the motion
500 N opposing force to the right
The net force is equal to the summation of all the forces in Newton
Net force= -1450+200+500
Net force=-750N
The direction is right
the current i in a long, straight wire is constant and is directed toward the right as in (figure 1). conducting loops a, b, c, and d are moving, in the directions shown, near the wire.
Answer: The directions shown, near the wire is moving anticlockwise
Explanation:
When the current in the wire AB decreases, the magnetic flux linked with the loop (which is out of the page) will decrease. Hence, the current induced in the loop must be anticlockwise to oppose the decrease in magnetic flux.
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The pressure is greater at the bottom of the bucket filled with water ,why?
A bus of mass 2500 kg goes round a corner of radius 50 m at a speed of 5 m/s. What force is needed for the bus to go round the corner?
Answer:
force needed for the bus to go round the corner is 50,000 N.
Explanation:
To find the force needed for the bus to go round the corner, we can use the formula for centripetal force:
F = (mv^2)/r
where F is the centripetal force, m is the mass of the object, v is the velocity of the object, and r is the radius of the circular path.
Plugging in the values given in the problem, we get:
F = (2500 kg)(5 m/s)^2 / 50 m
= 50,000 N
So the force needed for the bus to go round the corner is 50,000 N.
Some common types of forces that you will be dealing with include the gravitational force (weight), the force of tension, the force of friction, and the normal force. It is sometimes convenient to classify forces as either contact forces between two objects that are touching or as long-range forces between two objects that are some distance apart. Contact forces include tension, friction, and the normal force. Long-range forces include gravity and electromagnetic forces. Note that such a distinction is useful but not really fundamental: For instance, on a microscopic scale the force of friction is really an electromagnetic force. In this problem, you will identify the types of forces acting on objects in various situations.
Now consider a different situation. A string is attached to a heavy block and is used to pull the block to the right along a rough horizontal table.
a. What is the upward force that acts on the book called?
1-tension
2-normal force
3-weight
4-friction
b. Which object exerts a force on the block that is directed to the right?
1-the block itself
2-the earth
3-the surface of the table
4-the string
Answer:
No. A:
1-tension
No. B:
4-the string
Explanation:
The upward force that acts on the book is called "tension" while the "string" is the object that exerts a force on the block that is directed to the right.
As the string is pulled, the tension exerts an upward force on the block. The frictional force acts on the block to the left. So, both the tension and friction will act on the block in order to effect its pulling on the surface of the table.
Push a box across a table with a force of 5 newtons and the box moves
0.5 meters. How much work has been accomplished?
If you do
Answer:
2.5J
Explanation:
Work done = Force x Distance
= 0.5 x 5
= 2.5J
The work done that should be accomplished should be 2.5 J.
Calculation of the work done:Since the force is 5 newtons
The box moves 0.5 meters
So here the work done should be
= Force x Distance
= 0.5 x 5
= 2.5J
here we basically multiply the force with the distance so that the work done should be determined.
hence, The work done that should be accomplished should be 2.5 J.
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Your toaster oven and coffeemaker each dissipate 1100 W of power. You have a 114 V line in your kitchen. For what current must the circuit breaker be rated for you to operate both of these appliances at the same time
The circuit breaker must be rated 9.6 A for you to operate both of these appliances at the same time.
The power dissipated is given by the formula;
P = IV
Where;
P = power dissipated
I = current
V = voltage
From the question we have the following information;
P = 1100 W
V = 114 V
I = ?
Substituting values and making current the subject of the formula;
I = P/V
I = 1100 W/ 114 V
I = 9.6 A
The circuit breaker must be rated 9.6 A for you to operate both of these appliances at the same time.
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A 35.30-kg box is attached to a light string that is wrapped around a cylindrical frictionless spool of radius 10.0 cm and moment of inertia 4.00 kg * m^2. The spool is suspended from the ceiling, and the box is then released from rest a distance from rest a distance 3.50 m above the floor. How long does it take for the box to reach the floor?
Answer:
The velocity of the box is related to the angular velocity of the spool, which is given by the equation:
v = r * ω
where r is the radius of the spool and ω is the angular velocity of the spool. The angular velocity of the spool, in turn, is related to the torque applied to the spool by the tension in the string, which is given by the equation:
τ = I * α
where τ is the torque, I is the moment of inertia of the spool, and α is the angular acceleration of the spool.
The tension in the string is equal to the weight of the box, which is given by:
T = m * g
Putting all of these equations together, we can solve for the time it takes for the box to reach the floor. Here's how:
First, we can find the angular acceleration of the spool using the torque equation:
τ = I * α
T = m * g = τ
m * g = I * α
α = (m * g) / I
α = (35.30 kg * 9.81 m/s^2) / 4.00 kg*m^2
α = 86.53 rad/s^2
Next, we can find the angular velocity of the spool using the kinematic equation:
ω^2 = ω_0^2 + 2 * α * θ
where ω_0 is the initial angular velocity (which is zero), θ is the angle through which the spool has turned (which is equal to the distance the box has fallen divided by the radius of the spool), and ω is the final angular velocity (which is what we want to find). Solving for ω, we get:
ω^2 = 2 * α * θ
ω = sqrt(2 * α * θ)
ω = sqrt(2 * 86.53 rad/s^2 * (3.50 m / 0.10 m))
ω = 166.6 rad/s
Finally, we can find the time it takes for the box to reach the floor using the equation:
v = r * ω
v = 0.10 m * 166.6 rad/s
v = 16.66 m/s
t = d / v
t = 3.50 m / 16.66 m/s
t = 0.21 s
A planetary nebula is a(n) ____. Group of answer choices a shell of gas ejected by and expanding away from an extremely hot dying low-mass star a shell of gas ejected by and expanding away from an extremely hot dying high-mass star an expanding atmosphere of a low-mass star as it becomes a red giant a contracting shell of ionized interstellar medium absorbed by a dying low-mass star a contracting shell of dusty material from planets destroyed by a dying low-mass star
Answer: Planetary nebular is
A shell of gas ejected by and expanding away from an extremely hot dying high-mass star
An expanding atmosphere of a low-mass star as it becomes a red Giants.
Explanation:
Planetary nebular is a form of nebula emission that comprises an expanding and glowing shell of gas that is ejected from red giant stars.
Planetary nebulae play an important role in the chemical evolution of the Milky Way by expelling elements into the interstellar medium from stars where those elements were produced.
A 12 V automobile battery is connected to an electric starter motor. The current
through the motor is 250 A.
a) How much power does the motor dissipate?
b) How much energy does the battery deliver to the motor during the 26 s period?
PLEASE HELP QUICK
Answer: \(3000\ W,\ 78,000\ J\)
Explanation:
Given
The voltage of the battery is \(V=12\ V\)
Current through the battery is \(I=250\ A\)
(a) Power is the product of voltage and current
Power dissipates is given by
\(P=VI\\P=12\times 250\\P=3000\ W\)
(b) Energy delivered
\(E=P\times t\)
\(E=3000\times 26\\E=78,000\ J\)
9
A canoe with a mass of 120 kg is floating downriver at a speed of 2.5 m/s. What is the canoe's kinetic eergy?
Answer:
K.E. = ½ × mv²
= ½ × 120 × (2.5)²
= 60 × 6.25
= 375 J
Consider the following situations:
A) A car is moving along a straight road at a constant speed.
B) A car is moving along a straight road while slowing down.
C) A car is moving along a straight road while speeding up.
D) A hockey puck slides along a smooth (i.e., frictionless) icy surface.
E) A hockey puck slides along a rough concrete surface.
F) A cockroach is speeding up from rest.
G) A rock is thrown horizontally; air resistance is negligible.
H) A rock is thrown horizontally; air resistance is substantial.
I) A rock is dropped vertically; air resistance is negligible.
J) A rock is dropped vertically; air resistance is substantial.
Which of these situations describe the motion shown in the motion diagram at point C?
Type the letters corresponding to all the right answers. Do not use commas. For instance, if you think that only situations c and d are correct, type cd.
Answer:
A and D
Explanation:
They are the only two options with constant vertical and horizontal velocity