Answer:
Average speed = (total distance) / (total time)
Total distance = 100 km + 200 km = 300 km
Total time = 2 hrs (first part) + 1/2 hr (stop) + 4 hrs (second part) = 6.5 hrs
Average speed = 300 / 6.5 = 46.154 km/hr (rounded)
Explanation:
Electrical equipment in an office takes a current of 13 A from a 240 V supply.
Estimate the cost per week of electricity if the equipment is used for 30 hours each
week and 1 kWh of energy costs Rm0.50
Answer:
The cost per week of electricity is Rm 46.8
Explanation:
Electrical Power and Energy
The electrical power consumed by an appliance connected to a voltage V and carrying a current I is given by:
P = V.I
The energy consumed by an electrical appliance of power P during a time t is:
E = P.t
The electrical equipment in an office takes I=13 A when connected to a V=240 V supply.
The power consumed is:
P = 240 V * 13 A
P = 3,120 Watt
Converting to Kilowatt:
P = 3,120/1,000 KW
P = 3,12 KW
If the equipment is used t=30 hours each week, the energy is:
E = 3.12 KW * 30 h
E = 93.6 KWh
Since the cost of each KWh is Rm 0.50, the weekly cost of electricity is:
C = 93.6 * 0.50 = 46.8
The cost per week of electricity is Rm 46.8
Elements known as noble gases do not have the ability or the room in their valence
electron shell to form bonds with other elements.
O True
O False
Answer:
true
Explanation:
noble gases are octet meaning they they have eight electrons in their outer shell so the are stable
A boy drops a stone of mass 0.5 kg into a well. The stone takos 2 seconds to reach the bottom of the well. (p=10 N/kg). (a) Calculate the depth of the well.
A boy drops a stone of mass 0.5 kg into a well. The stone takes 2 seconds to reach the bottom of the well. then depth of the well is 19.2 m.
Momentum is defined as mass times velocity. it tells about the moment of the body. it is denoted by p and expressed in kg.m/s. mathematically it is written as p = mv. A body having zero velocity or zero mass has zero momentum. its dimensions is [M¹ L¹ T⁻¹]. Momentum is conserved throughout the motion. According to conservation law of momentum initial momentum is equal to final momentum.
A boy drops a stone of mass 0.5 kg into a well
according to kinematics,
s = ut + 1/2at²
initial velocity of the stone is zero
s = 1/2×9.8×2²
s = 1/2×9.8×2²
s = 19.2 m
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A system consists of 3 particles with mass m1=M2=1kg and M3=2kg located at shown in figure below find the center of mass in the system
The center of mass of the system is at (2,2).
To find the center of mass, we need to use the formula:
Xcm= (m1x1 + m2x2 + m3x3) / (m1 + m2 + m3)Ycm= (m1y1 + m2y2 + m3y3) / (m1 + m2 + m3)Plugging in the given values, we get:
Xcm= [(11) + (12) + (23)] / (1+1+2) = 2Ycm= [(11) + (12) + (23)] / (1+1+2) = 2Therefore, the center of mass is located at (2,2).
The center of mass is a point in a system where the entire mass can be assumed to be concentrated. It is the average position of all the mass in the system, calculated by taking the weighted average of the positions of individual masses.
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The force on a current carrying wire in a magnetic field is proportional to the current, the length of wire in the field, and the field strength.Question 24 options:TrueFalse
Given the satatement:
The force on a current carrying wire in a magnetic field is proportional to the current, the length of wire in the field, and the field strength.
Let's detetrmine if the statement is true of false.
The magnetic force on a current carrying wire is proportioal to the following:
(a) current in the wire
(b) Strength of the magnetic field (B)
(c) Length of wire
Hence, we can say that the force on a current carrying wire in a magnetic field is proportional to the current in the wire, the length of the wire in the field, and the strength of the magnetic field.
Therefore, the given statement is True.
ANSWER:
True
A rock is shot straight upward with sling-shot. The intial velocity is 24.5 m/s where the downward
acceleration due to gravity is 9.81 m/s2. What is the rock'sdisplacement after 1.00 s?
Answer:
Explanation:
If launch spot is origin and UP the positive direction.
s = s₀ + v₀t + ½at²
s = 0 + 24.5(1.00) + ½(-9.81)(1.00²)
s = 19.595
rounding to the 3 significant digits of the question numerals
s = 19.6 m upward
A rock, a book and a can of soda all have the same mass. Which of the following best describes their relationship?
A. They are all the same size
B. They each contain the same amount of matter.
C. They are each made of the same element.
D. They each occupy the same amount of space.
Answer:
Explanation:
d
A rock, a book and a can of soda all have the same mass. They each contain the same amount of matter.
Hence, the correct option is D.
Since the rock, book, and can of soda all have the same mass, it means that they contain the same amount of matter, regardless of their size or the material they are made of.
Mass is a measure of the amount of matter in an object, so if their masses are equal, it implies that the quantity of matter is the same in each of them.
The size, shape, and material composition can be different for each object, but their masses remain the same in this scenario.
Hence, A rock, a book and a can of soda all have the same mass. They each contain the same amount of matter.
Hence, the correct option is D.
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2. Samuel leaves the end of a 4.0-m-high diving board and strikes the
water 1.3 s later, 3.0 m beyond the end of the board. Considering the
diver as a particle, determine:
(a) His initial velocity,
(b) The maximum height reached;
(c) The velocity Vf
with which he enters the water.
Answer:
a) v = 4.9 m/s at 62° above the horizontal
b) h = 0.94 m above the board or 4.94 m above the water
c) v = 10 m/s at 77° below the horizontal
Explanation:
Assume UP and FOREWARD are positive and the diving board is the origin.
Ignore air resistance.
s = s₀ + v₀t + ½at²
In the vertical
-4 = 0 + vy₀(1.3) + ½(-9.8)(1.3²)
vy₀ = 4.281 m/s
in the horizontal
3.0 = 0 + vx₀(1.3) + ½(0)(1.3²)
vx₀ = 2.307... m/s
v = √(4.281² + 2.307²) = 4.863...
tanθ = 4.281 / 2.307
θ = 61.680...
v² = u² + 2as
s = (v² - u²) / 2a
h = (0² - 4.281²) / 2(-9.8) = 0.9350...
v² = 4.863² + 2(9.8)(4)
v = 10.1019...
cosθ = 2.307/10.1019
θ = 76.798
(a) The initial velocity of Samuel is 4.02 m/s
(b) The maximum height reached by Samuel is 0.55 m
(c) The final velocity when he enters the water is 5.20 m/s
The given parameter:
the height of the board, h = 4 mtime to strike the water, t = 1.3 sthe horizontal distance traveled, x = 3.0 m(a) The initial velocity of Samuel is calculated as;
\(h = v_o_y t + \frac{1}{2} gt^2\\\\\)
Assume downward motion to be in negative direction
The vertical component of the velocity is calculated as;
\(4 = 1.3\times v_0_y + 0.5\times 9.8\times 1.3^2\\\\4 = 1.3v_{0y} + 8.281\\\\1.3v_{0y} = 4- 8.281\\\\1.3v_{0y} = -4.281\\\\v_{0y} = \frac{-4.281}{1.3} \\\\v_{0y} = -3.293 \ m/s\\\\v_{0y} = 3.293 \ m/s \ \ \ (downwards)\)
The horizontal component of the velocity is calculated as;
Assume forward motion to be in positive direction
\(x = v_{0x}t \\\\3 = 1.3v_{0x}\\\\v_{0x} = \frac{3}{1.3} \\\\v_{0x} = 2.308 \ m/s\)
The resultant of initial velocity is calculated as;
\(v_0 = \sqrt{v_{0y}^2 + v_{0x}^2} \\\\v_0 = \sqrt{3.293^2 + 2.308^2} \\\\v_0 = \sqrt{16.17} \\\\v_0 = 4.02 \ m/s\)
(b) The maximum height reached by Samuel is calculated as;
\(v_f_y^2 = v_0_y^2 + 2gh\\\\at \ maximum \ height \ v_{fy} = 0\\\\0 = v_0_y^2 + 2gh\\\\-2gh = v_0_y^2\\\\h = \frac{v_0_y^2}{-2g} \\\\h = \frac{(3.293)^2}{-2\times 9.8} \\\\h = -0.55 \ m\\\\h = 0.55 \ m \ (downwards)\)
(c) The final velocity when he enters the water;
The height traveled before he hits the water, h = 0.55 m
\(v_f^2 = v_{0}^2 + 2gh\\\\v_f^2 = (4.02)^2 + (2\times 9.8\times 0.55)\\\\v_f^2 = 26.94\\\\v_f = \sqrt{26.94} \\\\v_f = 5.20 \ m/s\)
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Choose only one correct option. Explanation needed.
Answer:
\(\large \boxed{\mathrm{C. \ \ \frac{500}{7 \times 15 \times 8} \ g/cm^3 }}\)
Explanation:
\(\displaystyle \sf Density = \frac{mass}{volume}\)
\(\displaystyle \rho = \frac{m}{V}\)
\(\sf mass=500 \ g\)
\(\sf volume \ of \ a \ cuboid=width \times length \times height=( 7 \times 15 \times 8) \ cm^3\)
\(\displaystyle \rho = \frac{500}{7 \times 15 \times 8}\)
A 0.5kg ball of clay originally moving at 6 m/s strikes a wall and comes to rest in 0.25s, what is the magnitude of the impulse given to the ball of clay?
A) 0.75 kg m/s
B) 1.5 kg m/s
C) 3.0 kg m/s
D) 12 kg m/s
Answer:
C I did USA testprep
Explanation:
Julie has a mass of 49 kg and is standing on the 6 meter diving board? ( she is 6 meters above the water .) Julie drops from the diving board . What is Julies speed just as she hits the water
Use the kinetic energy formula:
KE = 1/2 m v^2
m= mass = 49 kg
v = speed
and the potential energy formula:
PE = m g h
g = 9.8 N
h= height = 6 m
PE = 49 x 9.8 x 6 = 2,881.2 J
Since PE = KE
2,881.2 J = KE
2,881.2 = 1/2 x 49 x v^2
2,881.2 = 24.5 x v^2
2,881.2 / 24.5 = v^2
117.6 = v^2
√117.6 = v
v= 10.84 m/s
Please help me find this answer
Only mirrors reflect light? True or false?
False - Every object which is not transparent and translucent reflect light. In order to see colours, the object absorb light and reflect the light we see.
Find the mass of the two-dimensional object. A disk of radius 7 in with density at distance x from origin given by rho ( x ) = √ 10 x
Answer:
1030.3504 units
Explanation:
Disk radius = 7 inches
Density at distance x = p(x) = \(\sqrt{10x}\)
Calculate the mass of the two-dimensional object
M = 2\(\pi\)\(\sqrt{10} * (\frac{2}{5} ) *(7)^{\frac{5}{2} }\) = 1030.3504 units
In a single-slit diffraction experiment, a coherent light source illuminates a slit in a barrier, and the resulting pattern is projected on a screen that is separated from the barrier by a distance which is very large as compared to the slit width and the wavelength of the light source. A student makes sketches of the resulting patterns. While the center of each bright or dark band is accurately represented, the shading is qualitative, and the choice of color may not reflect the wavelength of the light source. The distance from the barrier to the screen is 2.3 m, and the slit has width 7.3 μm.
A) What is the ratio of the slit width to the wavelength of the incident light?
B) What is the wavelength of the incident light, in nanometers?
C) If the screen is very wide, how many dark bands appear to one side of the central maximum?
Answer:
hsjdsdddwqdqwdd
Explanation:
What is the potential difference across the source?
60 V
220 V
440 V
120 V
Answer:
120 v
Explanation:
The two resistors have an equivalent of 20 * 30 /(20+30) = 12 ohms
10 amps of current in the circuit
v = ir
= 10 * 12 = 120 volts
Here is another way:
The two resistors are in prallel so the voltae across both is the same
use the one on the right v = ir = 4 x 30 = 120 v
What is the force of attraction between a balloon with a charge of +4.0 x 10^-6 C is held a distance of 0.41 m from a second balloon having the same charge?
Explanation:
The force of attraction between two charged objects is given by Coulomb's law:
F = k * (q1 * q2) / r^2
where:
F is the force of attraction
k is Coulomb's constant, which has a value of 9.0 x 10^9 N*m^2/C^2
q1 and q2 are the charges of the two objects
r is the distance between the two objects
In this case, we have two balloons with the same charge of +4.0 x 10^-6 C each, and they are held at a distance of 0.41 m from each other. Plugging these values into Coulomb's law, we get:
F = 9.0 x 10^9 N*m^2/C^2 * [(+4.0 x 10^-6 C)^2] / (0.41 m)^2
F = 1.92 x 10^-3 N
Therefore, the force of attraction between the two balloons is 1.92 x 10^-3 N.
(01.06 MC)
Explain the energy transformation that occurs when food is digested. (4 points)
Oa
Chemical energy transforms into mechanical energy.
Ob
Electrical energy transforms into mechanical energy.
ос
Mechanical energy transforms into chemical energy,
Od
Thermal energy transforms into electrical energy.
Submit
En
Answer:
c
Explanation:
In Asch's study referenced above, answer the following questions: How is the principle of conformity examined? When and why do you think the subject in the experiment began to "second guess" himself? What are some of the circumstances in the experiment which contribute to “conformity”? Why do you think some participants would be more likely to conform than others? There are many reasons why people conform. Were you ever in a situation where you had to conform? Why did you feel the need to conform?
In Asch's study referenced above, all the questions are answered below.
What is principle of conformity ?It states that conformity to land use objective contributes to economic stability in a residential community.
In areas that were not developed all at once or not well planned, individuals purchase vacant lots and set about building on their own homes. These areas suffer from the not having sense of conformity.
Asch measured number of times each individual has conformed to the majority views. About 32% of individual participated who were placed and conformed with incorrect majority. Over 12 critical trials, 75% of individuals conformed at least once and 25% never conformed.
The reason for individuals to participate is because they have been interviewed after the experiment. Most of the people did not believe in conforming. They still go along due to group fear of being ridiculed. Some believed the group's answers were not correct.
There were two reasons to conform, one is to fit in the group and believed the groups are better informed than they are.
When compared, mostly the answers are found to be incorrect and not satisfying and conformity has increased.
The more difficult is the task, one goes for conformity. When an individual is allowed to answer in private, the conformity decreases.
There is a need to conform because there are fewer groups not so powerful as there is no fear of any rejection.
Thus, all the questions are answered.
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a plane wall is 250mm thick and it's wall area is 4.5m^2. if the thermal conductivity is 9.35w/m°c and surface temperature are steady at 150°c and 40°c. calculate the heat flow across the plane wall and the temperature gradient in the flow direction
The temperature gradient in the flow of direction is 294525 W.
What is Temperature gradient?A temperature gradient is the gradual variance in temperature with distance. The slope of the gradient is consistent within a material. A gradient is established anytime two materials at different temperatures are in physical contact with each other.
Q= T/( L/ KA)
Q= ( 1500 − 450) / 0.15 / 9.35v * 4.35)
= 294525 W
Units of measure of temperature gradients are degrees per unit distance, such as °F per inch or °C per meter.
Many temperature gradients exist naturally, while others are created. The largest temperature gradient on Earth is the Earth itself. Q= T/Ka.
Therefore, The temperature gradient in the flow of direction is 294525 W.
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Who has the best dog ever!?!?
Answer:
10x10=100
snoopy ofc :)
Answer:
Labrador Retriever.
hope it will help you
Writing Simple ExpressionsChoose all of the TRUE statement(s).Add 6 and 5, then multiply by 4 is the same as 4(6 + 5).4 times greater than 80 + 25 is the same as 4 x (80 + 25).Subtract 15 from 42 is the same as 15 − 42.9 times greater than 11 + 12 is the same as 9 + 11 + 12.8 times greater than 21 + 15 is the same as 8(21 + 15).
Add 6 and 5, then multiply by 4 is the same as 4(6 + 5). TRUE
4 times greater than 80 + 25 is the same as 4 x (80 + 25). TRUE
Subtract 15 from 42 is the same as 15 − 42. TRUE
9 times greater than 11 + 12 is the same as 9 + 11 + 12. FALSE
9 (11+12)
8 times greater than 21 + 15 is the same as 8(21 + 15). TRUE
2. What are some of the advantages of the metric system?
Answer:
Prefixed naming convention. All metric units are clearly related to each other using prefixes. ...
HELP ME ASAPPPPPPPPPPP
A penny sinks to the bottom of a wishing well
What type of frictional force is that?
The frictional force involved when a penny sinks to the bottom of a wishing well is primarily due to viscous drag or fluid friction. As the penny moves through the water, it experiences resistance from the surrounding fluid. This resistance is caused by the frictional forces between the water molecules and the penny's surface.
why do sound waves travel faster in low- density gas?
Answer:
Because the molecules of matter in a gas are spaced far apart, sound moves slowest through a gas. Sound travels faster in liquids than in gases because molecules are packed more closely together.
Explanation:
A ball is kicked horizontally at 4.6 m/s off of a cliff 13.4 m high. How far from the cliff will it land.
7.53 m
Explanation:We are given:
Initial Horizontal Velocity of the Ball = 4.6 m/s
Initial Vertical Velocity of the Ball = 0 m/s
Height from which ball is kicked = 13.4 m
Time taken by the ball to reach the ground:
The ball has an initial vertical velocity of 0 m/s
it also has a downward acceleration of 10 m/s² due to gravity
Solving for the time taken:
s = ut + 1/2(at²) [second equation of motion]
replacing the values
13.4 = (0)(t) + 1/2 (10)(t²)
13.4 = 5t²
t² = 13.4/5 [dividing both sides by 5]
t² = 2.68
t = 1.637 seconds [taking the square root of both sides]
Horizontal distance covered by the ball:
Since there are no horizontal opposing forces on the ball,
the ball will more horizontally at a velocity of 4.6 m/s until it hits the ground
We calculated that the ball will hit the ground in 1.637 seconds
Distance covered:
s = ut + 1/2 (at²) [seconds equation of motion]
s = ut [since a = 0m/s² in the horizontal plane]
replacing the values
s = 4.6 * 1.637
s = 7.53 m
Hence, the ball landed 7.53 m from the cliff
Please help & actually answer thank you :)
Answer:
0.5x35=17.5
Explanation:
You throw 0.5 kg the ball leaves your hand with
A speed of 35
Need a 5 paragraph essay in the eartsh layers and how they function/ benefit the earth!
There is more to the Earth than what we can see on the surface. In fact, if you were able to hold the Earth in your hand and slice it in half, you'd see that it has multiple layers. But of course, the interior of our world continues to hold some mysteries for us. Even as we intrepidly explore other worlds and deploy satellites into orbit, the inner recesses of our planet remains off limit from us.
However, advances in seismology have allowed us to learn a great deal about the Earth and the many layers that make it up. Each layer has its own properties, composition, and characteristics that affects many of the key processes of our planet. They are, in order from the exterior to the interior – the crust, the mantle, the outer core, and the inner core. Let's take a look at them and see what they have going on.
Like all terrestrial planets, the Earth's interior is differentiated. This means that its internal structure consists of layers, arranged like the skin of an onion. Peel back one, and you find another, distinguished from the last by its chemical and geological properties, as well as vast differences in temperature and pressure.
Explanation:
Read the scenario below. Then, identify the chain of custody for:
1. type of evidence
2. location where evidence was found
3. who collected the evidence
4. how it was collected
October 19th, 2:04AM
Detective Lauren arrives at a crime scene of a drive by shooting. Crime Scene Investigator Molly collected bullet casings. The evidence was collected from the curb of the sidewalk using gloves and placed into baggies.
The type of evidence that was collected based on the information is a forensic evidence.
How to illustrate the information?From the information, it was stated that Detective Lauren arrives at a crime scene of a drive by shooting. Crime Scene Investigator Molly collected bullet casings. The evidence was collected from the curb of the sidewalk using gloves and placed into baggies.
Therefore, the location where evidence was found is a crime scene.
The person who collected the evidence is Crime Scene Investigator Molly collected bullet casings.
The evidence was collected from the curb of the sidewalk using gloves and placed into baggies.
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An extreme automatic fear response that is triggered by a specific stimulus refers to __________.
A.
food aversion
B.
superstitions
C.
phobias
D.
learned helplessness
Please select the best answer from the choices provided
A
B
C
D
Answer:
C
Explanation:
Phobias are a common thing among people for different reasons, people may be triggered by them for different reasons and have a state of shock or something related to that matter. When you may interact with that type of phobia you may have, you will have a type of reaction. However, it depends quite on your personality. Phobias also mean a fear of something.