Distance = (30+40+50) = 120 km
It's back where it started, so displacement = zero
The distance traveled by truck is equal to 70 km and its displacement is 50 km.
What are distance and displacement?The distance of an object can be described as the total path traveled by an object. It is a scalar quantity as it has only magnitude, not direction. The distance is always positive, it can never be zero.
The displacement can be described as the shortest distance between two points. The displacement is a vector quantity with both direction and magnitude. The displacement of an object can be positive, negative, or zero and can increase or decrease with time.
Given, a truck moves 30 km along AB in the West as shown in the attached figure below, and then 40 km North along BC.
The distance of the truck will be = AB + BC = 30 + 40 = 70Km
The displacement (AC) can be calculated by using Pythagoras' theorem:
AC² = AB² + BC²
AC² = (30)² + (40)²
AC² = 2500
AC = 50 Km
Therefore, the distance is 70 Km and the displacement of the truck is 50 Km.
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The power supply used in an electric vehicle contains 990 rechargeable cells each of electromotive force (e.m.f.) 1.2V. The cells are contained in packs in which all the cells are in series with each other. The e.m.f. of each pack is 54 V. (a) Calculate the number of packs in the power supply. number of packs = (b) When in use, each pack supplies a current of 3.5 A. (i) Calculate the rate at which each cell is transferring chemical energy to electrical energy. [2] rate of energy transfer= [2] (ii) The packs are connected in parallel to supply a large current to drive the electric vehicle. Explain why it is necessary to use thick wires to carry this current.
(a) There are 22 packs in the power supply.
(b) (i) Each cell is transferring energy at a rate of 4.2 Watts.
(ii) Thick wires are necessary to carry the large current because they have lower resistance compared to thin wires.
(a) To calculate the number of packs in the power supply, we divide the total e.m.f. of the power supply by the e.m.f. of each pack:
The number of packs = Total e.m.f. / e.m.f. of each pack
Total e.m.f. = 990 cells * 1.2 V = 1188 V
Number of packs = 1188 V / 54 V = 22 packs
Therefore, there are 22 packs in the power supply.
(b) (i) To calculate the rate at which each cell is transferring chemical energy to electrical energy, we multiply the current (I) by the e.m.f. of each cell:
Rate of energy transfer = Current * e.m.f. of each cell
Rate of energy transfer = 3.5 A * 1.2 V = 4.2 W
Therefore, each cell is transferring energy at a rate of 4.2 Watts.
(ii) Thick wires are necessary to carry the large current because they have lower resistance compared to thin wires. When a large current flows through a wire, there is a greater amount of electrical energy being transferred, which generates heat due to the resistance of the wire. If the wire has high resistance, it can lead to significant heat dissipation, potentially causing overheating and inefficiencies in the power supply system.
Using thick wires with lower resistance helps to minimize the amount of heat generated and prevents excessive power losses. Thick wires have a larger cross-sectional area, allowing for better current-carrying capacity and reducing resistance. This ensures that the electrical energy is efficiently transmitted to the electric vehicle without excessive power dissipation or voltage drops, thus optimizing the overall performance of the system.
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What happens when a red blood cell takes in helium
Answer:
It can cause death by asphyxiation in minutes or a gas/air embolism. This can cause the blood vessels to rupture and cause hemorrhage
Explanation:
Inhaling helium from a pure helium pressurized tank can cause something called an 'air embolism'. This is eventually a bubble that was trapped in a blood vessel, and therefor blocks it. The blood vessels can then rupture and hemorrhage.
Short answer: The results of breathing in 100% pure helium is asphyxiation, which eventually causes death.
I hope this helps! (If this was a question which had multiple choice answers, feel free to post them in the comment section and I would be more than happy to give you a direct answer to the test.)
already did the work, i just need someone to see if i did the tangent line right? the line has to touch the point 0.6! thank you
The tangent looks good.
The curve is a bit crooked, at the 0.9 and 1.
But overall, cool graph.
True or false, anything can turn into a black hole.
Answer:
False. Not everything can turn into a black hole. The formation of a black hole requires a massive object, typically a star, to collapse under its own gravity. This collapse causes the object to become so dense that it creates a singularity, a point of infinite density at the center of the black hole, which is surrounded by an event horizon, the point of no return beyond which nothing, not even light, can escape. So, only objects with sufficient mass and gravity can become black holes.
Explanation:
You pull straight up on the string of a yo-yo with a force 0.19 N, and while your hand is moving up a distance 0.12 m, the yo-yo moves down a distance 0.30 m. The mass of the yo-yo is 0.058 kg, and it was initially moving downward with speed 3.4 m/s. (b) What is the new speed of the yo-yo
Answer:
2.54 m/s
Explanation:
By conservation of energy,
work done by force due to hand = mechanical energy gained by yo-yo
So Fd = mgh + 1/2m(v₂² - v₁²)
where F = force on string = 0.19 N, d = distance moved by hand = 0.12 m, m = mass of yo-yo = 0.058 kg, g = acceleration due to gravity = 9.8 m/s², h = distance moved by yo-yo = 0.30 m, v₁ = initial speed of yo-yo = 3.4 m/s and v₂ = final speed of yo-yo = unknown
So, Fd = mgh + 1/2m(v₂² - v₁²)
Fd/m = gh + 1/2(v₂² - v₁²)
Fd/m - gh = 1/2(v₂² - v₁²)
2(Fd/m - gh) = (v₂² - v₁²)
(v₂² - v₁²) = 2(Fd/m - gh)
v₂² = v₁² + 2(Fd/m - gh)
taking square-root of both sides, we have
v₂ = √[v₁² + 2(Fd/m - gh)]
Substituting the values of the variables into the equation, we have
v₂ = √[(3.4 m/s)² + 2(0.19 N × 0.12 m/0.058 kg - 9.8 m/s² × 0.30 m)]
v₂ = √[(3.4 m/s)² + 2(0.19 N × 0.12 m/0.058 kg - 9.8 m/s² × 0.30 m)]
v₂ = √[(3.4 m/s)² + 2(0.0228 Nm/0.058 kg - 9.8 m/s² × 0.30 m)]
v₂ = √[(3.4 m/s)² + 2(0.393 Nm/kg - 2.94 m²/s²)]
v₂ = √[(3.4 m/s)² + 2(-2.547 m²/s²)]
v₂ = √[11.56 m²/s² - 5.094 m²/s²)]
v₂ = √[6.466 m²/s²]
v₂ = 2.54 m/s
The particles carrying the charge through a wire collide with the metal __________ in the wire. What one word completes the sentence?
The free metal electrons in a wire collide with the particles transporting the charge through the wire.
The charged particles in metal are what?Strong metallic connections keep the constituent parts of a metal together. The particles are arranged in a predictable pattern and are close together. The outside electrons of metal atoms are loose, creating a "sea" of delocalized or free negative charge around the densely packed positive ions.
What is the name of the particles that carry the electricity?Hence, the flow of charged particles or charge carriers is what constitutes electric current. Any charged particle, such as an electron, proton, or ion, can serve as the charge carrier. In an electric circuit, electrons typically carry the charge.
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Explain how a helicopter lifts itself up, from a Newton's 3rd Law perspective,
What is the potential energy of a 5.0 N weight that is 3 m above the ground
Answer:
\(15\:\mathrm{J}\)
Explanation:
The potential energy of an object is given by \(PE=mgh\).
Recall that the weight of an object is equal to the force of gravity on the object. From this, we can set up the following equation and solve for the mass of the object:
\(F=mg,\\5=mg,\\m=\frac{5}{9.81}\approx 0.51\:\mathrm{kg}\)
Now we can plug in values to \(PE=mgh\) and solve:
\(PE=0.51\cdot9.81\cdot3=\fbox{$15\:\mathrm{J}$}\).
Answer:
The potential energy of the body is 15J.
Explanation:
What is potential energy?The energy possessed to a body due to position is called Potential energy.
U=mgh
Given data:weight (mg)=5Nheight (h)=3mPotential energy (U)=?by using formulaU=mgh
U=5×3=15J
Hence, the potential energy of the body is 15J.
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W = 320 J
d = 2.5 m
for science physics grade 8 work chapter
The work done is 320 J and the distance covered is 2.5 m.
To calculate the work done in physics, you can use the formula:
Work (W) = Force (F) × Distance (d) × cosθ
However, since the question doesn't provide information about the force or the angle, we'll assume that the force is applied in the direction of motion, which means θ = 0° and cosθ = 1.
Given:
W = 320 J (work done)
d = 2.5 m (distance covered)
θ = 0° (angle between force and displacement)
Using the formula, we have:
320 J = F × 2.5 m × cos0°
Since cos0° = 1, the equation simplifies to:
320 J = F × 2.5 m
To find the force (F), we rearrange the equation:
F = 320 J / 2.5 m
F = 128 N
Therefore, the force applied is 128 N.
It's important to note that this calculation assumes that the force is constant over the entire distance and that there are no other factors influencing the work done.
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The components of vector A are Ax = + 3.90 and Ay = -4.00. What is the angle measured counterclockwise from the +x-axis to vector A?
Answer: \(314.28^{\circ}\)
Explanation:
Given
X component of the vector is \(A_x=3.9\)
Y component of the vector is \(A_y=-4\)
From the figure, we can write
\(\Rightarrow \tan x=\dfrac{4}{3.9}\\\\\Rightarrow x=45.72^{\circ}\)
Thus, the angle measured counterclockwise from the x-axis to vector A is
\(360^{\circ}-45.72^{\circ}=314.28^{\circ}\)
A girl runs up the down escalator in the mall. If the escalator is moving with a
velocity of 24 m/min and the girl is running with a velocity of 30 m/min, how
far up the escalator can she go in 4 minutes?
O A. 24 m
B. 10 m
C. 30 m
о
D. 48 m
Answer:
24
Explanation:
24 m
Running up - velocity + 30 m/min
Escalator 's moving down velocity - 24 m/min
Sum velocity (30 - 24) = 6 m/min
6 m/min * 4 min = 24 m
a proton, moving east, enters a magnetic field of a certain strength. because of this field the proton curves downward. what is the direction of the magnetic field?
Answer:
F = q V X B
Using the right hand rule (right hand screw) turn V into B to get direction of force which in this case is down
If V is east and F is down then one can see that B must be directed towards the south - turn V into B (south) and F will be directed downwards.
What is the weight of an object (mass = 60 kilograms) on Mars, where the acceleration due to gravity is 3.75 meters/second2?
Answer:
weight = 225 N
Explanation:
We are asked to calculate the weight of an object of mass 60 kg on Mars given that the acceleration due to gravity (g) on Mars is 3.75 m/s². We can do so using the following formula:
\(\boxed{W = mg}\),
where:
• W = weight of object in Newtons (N)
• m = mass of object in kg
• g = acceleration due to gravity in m/s².
Substituting the given data into the formula above, we can calculate the weight of the object:
W = 60 × 3.75
= 225 N
Therefore the weight of the 60 kg object on Mars is 225 N.
Astronomers have not yet been able to detect planets outside our solar system. true false
What is the difference between a psychologist and a psychiatrist?
Answer:
Psychiatrists are medical doctors, psychologists are not. Psychiatrists prescribe medication, psychologists can't. Psychiatrists diagnose illness, manage treatment and provide a range of therapies for complex and serious mental illness. Psychologists focus on providing psychotherapy (talk therapy) to help patients.
Explanation:
Answer:
Psychiatrists are medical doctors, psychologists are not. Psychiatrists prescribe medication, psychologists can't. Psychiatrists diagnose illness, manage treatment and provide a range of therapies for complex and serious mental illness. Psychologists focus on providing psychotherapy (talk therapy) to help patients.
Explanation:
The examination of radial and tangential fracture lines on glass that has been struck by two projectiles in sequence can provide the following information:
a. The refractive index of the glass
b. The sequence by which the projectiles struck the glass
c. Both a and c
The examination of radial and tangential fracture lines on glass struck by two projectiles in sequence can provide both the refractive index of the glass and the sequence of impact.
What valuable information can the examination of radial and tangential fracture lines on sequentially struck glass provide?Glass fractures in a distinct pattern when subjected to impact. Radial and tangential fracture lines can be observed on the glass surface, and by examining their characteristics, valuable information can be derived. Firstly, the refractive index of the glass can be determined by analyzing the angles and spacing of the fracture lines. This information is useful for forensic investigations and determining the type of glass involved. Secondly, by studying the sequence and intersection points of the fracture lines, it is possible to determine the order in which the projectiles struck the glass. This can provide crucial insights into the dynamics of the event and aid in reconstructing the sequence of events accurately.
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Determine the force of gravitational attraction between the earth (m = 5.98 x 1024 kg) and a 70-kg physics student if the student is in an airplane at 40000 feet above earth's surface. This would place the student a distance of 6.39 x 106 m from earth's center.
Answer:
\(F=683.790939\)N
Explanation:
From the Question we are told that
Earth mass \(m_1= 5.98 * 10^2^4 kg\)
Students mass \(m_2=70kg\)
Distance of student from earth center Radius \(r=6.39 * 10^6 m\)
Generally the equation for Force of attraction b/w the earth and the boy is mathematically given by
\(F=\frac{Gm_1m_2}{r^2}\)
\(F=\frac{6.67.10^-^1^1*( 5.98 x 10^2^4)(70)}{(6.39 *10^6)^2}\)
Therefore the force of attraction b/w the student and the earth is
\(F=683.790939N\)
\(F\approx 684N\)
The semi-major axis of this ellipse is 8.8 cm, and the distance from one of the foci to the
center is 4.4 cm. What is the eccentricity of the ellipse?
The eccentricity is 0.5
An object is attached to a spring and experiences a restoring force of 50 N . The spring constant is found to be 150N/m. How far the object displaced from equilibrium?
Answer:
Photosynthesis is a process used by plants and other organisms to convert light energy into chemical energy that, through cellular respiration, can later be released to fuel the organism's activities.
Explanation:
LLLLLL
the dimension of relative density and tension
Answer:
Relative density is proportional to the frequency of a material's density to its water density. Because both have had the same proportions, their proportion is also dimensionless.
Explanation:
The dimension of relative density:-
Relative Density of a Substance (R.D.) = Substance Density / Water Density.
Therefore, R.D. Is just a ratio or a number. There are no units or dimensions to it.
For example:- The density of iron is 8.5 GM's/cm^3 & the density of water is 1 gm/cm^3 (in cgs units).
Tension:- Surface tension is the propensity of the new worlds and infographics to reduce to the particle size which is least appropriate. Atmospheric pressure helps insects (e.g. water striders) can travel or move and on a water surface, typically object is sensed rather than water.
When the electric potential in a generator shifts positive, then negative and back positive, _____ is created.
Answer:
★ When the electric potential in a generator shifts positive, then negative and back positive, alternating current is created.
Explanation:
Hope you have a great day :)
the men's world record for running a mile outdoors (as of 1999) is 3min how long would it take to run a 1500 m race
It would take less than 3 minutes to run a 1500 m race, considering that the world record for the mile is 3 minutes.
The mile is approximately 1609 meters, which is slightly longer than the 1500-meter race. If the men's world record for the mile is 3 minutes, it means that elite athletes can maintain an average speed of approximately 5.36 meters per second (1609 meters divided by 180 seconds).
Since the 1500-meter race is shorter than the mile, it would take less time to complete. Assuming the runner maintains a similar pace, they would be able to cover 1500 meters in less than 3 minutes. The exact time would depend on the individual's speed, endurance, and racing strategy.
It's important to note that world records can change over time as athletes continue to improve their performance. The information given in the question states that the men's world record for the mile was 3 minutes as of 1999. It's advisable to refer to more recent sources to obtain the current world records for specific distances.
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i) Show that total energy of the body at points A, B and C during the fall is same. ii) Find the distance from A to B and final velocity of the ball just reach before C. mass =5 kg, total height (h)= 100m
The total energy of the body at evevry point is remained same due to the law of conservation of energy. Distance from A to B and final velocity of the ball just reach before C is 44.3 m/s.
d (distance) from A to B is = √2gh
In this case given are, g = 9.8 m/s² and h = 100m,
so here d = √(2⋅9.8⋅100) = 44.3m.
Final velocity ,v = √2gh
Here given are , v is the velocity, g is the acceleration due to gravity, and h is the height. In this case,
g = 9.8 m/s² ,h = 100m,
v = √(2⋅9.8⋅100)
= 44.3 m/s (final velocity)
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The pads used to deliver the electrical shock to the heart can be placed over clothing
True
False
false, as it depends on the type of defibrillator being used. In general, automated external defibrillators (AEDs) are designed to be used by anyone, even those without medical training, in an emergency situation.
These devices typically have adhesive pads with sensors that are placed directly on the patient's bare chest. It is recommended to remove any clothing or jewelry that may interfere with the sensors and the shock delivery.However, there are also some newer AED models that are specifically designed to be used over clothing. These devices have pads with enhanced sensors that can detect and compensate for the extra layer of fabric. They are often used in settings where quick access to bare skin may not be possible, such as on sports fields or in public places. So, in summary, the pads used to deliver the electrical shock to the heart can be placed over clothing in some cases, but it is generally recommended to remove any clothing or jewelry that may interfere with the sensors and the shock delivery for most AEDs. It is important to follow the specific instructions for the defibrillator being used and to seek professional medical help as soon as possible in any emergency situation.
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A +6.33 uC charge q1 is attracted by a force of 0.115 N to a second charge q2 that is 1.44 m away. What is the value of q2?
Answer:-4.1858
Explanation: I hate Acellus
If A +6.33 μC charge q₁ is attracted by a force of 0.115 N to a second charge q2 that is 1.44 m away. then the value of q₂ = 4.23 μC.
What is coulomb's law ?Electrostatic force is a force of attraction or repulsion between two unlike or like charges respectively. when like charges come closer to each other, they gets repel by one another and it gets attracted for unlike charges. Force of attraction or repulsion between two point charges are given by coulomb's law. The force of attraction between two charges are given by coulomb's law.
the law states that the force of attraction or repulsion between two point charges is directly proportional to product of magnitude of both the charge and inversely proportional to square of the distance between them.
i.e. F ∝ q₁q₂
F ∝ 1/r²
F ∝ q₁q₂/r²
F = kq₁q₂/r²
where k is proportionality constant k = 1/4π∈₀ = 8.9×10⁹
In this problem,
Given,
q₁ = 6.33×10⁻⁶ C
F = 0.115N
r = 1.44m
q₂ = ?
putting this values in the equation,
0.115 = 8.9×10⁹×6.33×10⁻⁶ ×q₂÷1.44²
q₂ = 4.23 μC.
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Please help me with this, I will mark as Brianalist if right...
Explanation:
To me, it's option 1
Newton third law states that Every action produces an equal and opposite reaction. Hence, given the fact that the engine is on, it should be producing a constant force every time so, the speed should be constant as the force propelling it is the same
1. A ball is moving at 6 m/s and has a momentum of 24 kg-m/s. What is the ball's mass?
Answer:
4.0 kg
Hope it helps
Please mark me as the brainliest
Thank you
what is uniform motion?
The formula to convert temperatures from Fahrenheit to Celsius is: C° = (F° -32°) The average daily high temperature in New Haven, Connecticut, in July is 86-degrees Fahrenheit, with an SD of 4.05
The standard deviation of the average daily high temperature in New Haven, Connecticut, in July is approximately 2.25°C.
To convert temperatures from Fahrenheit to Celsius, you can use the formula: C° = (F° - 32°) / 1.8. Let's calculate the average daily high temperature in New Haven, Connecticut, in July, and its standard deviation, in Celsius.
1. Average daily high temperature in Fahrenheit: 86°F
Applying the conversion formula:
C° = (86°F - 32°F) / 1.8
C° = 54°C / 1.8
C° ≈ 30°C
Therefore, the average daily high temperature in New Haven, Connecticut, in July is approximately 30°C.
2. Standard deviation in Fahrenheit: 4.05°F
Applying the conversion formula:
C° = (4.05°F) / 1.8
C° ≈ 2.25°C
It's important to note that these calculations are approximate due to rounding. The actual values may have slight variations.
In summary, the average daily high temperature in New Haven, Connecticut, in July is around 30°C, with a standard deviation of approximately 2.25°C.
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Which of these is most likely to be a centrifugal force within the EU in the future?
Among the given options, cultural differences are most likely to be the centrifugal force within the EU in the future. The EU is a political and economic union of 27 member states, and cultural differences among its member states have always been present.
With the increasing number of immigrants from different parts of the world, the cultural differences among EU member states are becoming more prominent. Each member state has its unique language, history, customs, and traditions, which can create misunderstandings and conflicts among the member states.
The EU aims to promote unity and solidarity among its member states, but cultural differences can lead to a lack of understanding and trust between them. The EU's diverse cultural heritage is both a strength and a challenge for the union. The EU needs to find a way to respect the cultural diversity of its member states while maintaining its unity.
However, the cultural differences among the member states can still cause tensions and conflicts in the future. Therefore, it is crucial for the EU to continue to foster cultural awareness and understanding among its member states to maintain the union's cohesion and stability.
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complete question:
Which of these is most likely to be a centrifugal force within the EU in the future?
a. trade barriers
b. closed borders
c. pollution problems
d. cultural differences