According to the question the soccer ball was in the air for a total of 2.26 seconds.
What is air?Air is a mixture of gases made up of nitrogen (78%), oxygen (21%), and other trace gases like argon and carbon dioxide (1%). This mixture of gases makes up a unseen fluid we call air. It is all around us, surrounding us and filling the space between us and the Earth.
The time that the soccer ball was in the air can be determined using the kinematic equations of motion. First, we need to calculate the initial vertical and horizontal velocity components of the ball when it is kicked. The vertical velocity component is given by Vy = V*sin(angle) = 15.6 m/s * sin(52.5°) = 11.2 m/s.
The horizontal velocity component is given by Vx = V*cos(angle) = 15.6 m/s * cos(52.5°) = 9.2 m/s.
Now we can solve for time using the equation t = (2*Vy)/g, where Vy is the vertical velocity component and g is the acceleration due to gravity (9.8 m/s2). Thus, t = (2*11.2 m/s)/9.8 m/s2 = 2.26 s.
Therefore, the soccer ball was in the air for a total of 2.26 seconds.
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t: The toy car is given a push away from the origin and released. It continues to move with a constant velocity. Sketch the force g 0' after the car is released. A cart is moving toward the right and speeding up, as shown in the diagram below. Draw arrows above the cart representing the magnitudes and directions of the net (combined) forces you think are needed on the cart at t = 0 s, t = 1 s, etc., to maintain its motion with a steadily increasing velocity. Assume that the cart is already moving at t_1. Explain the reasons for your answers. If the positive direction is toward the right, what is the sign of the force at t = 2 s in Question
The car will move at a constant speed once it is unleashed, as is assumed. Hence, there is no acceleration. Newton's second law states that a straight line along zero will appear on the graph if F=ma=m(0)=0, F=0.
Acceleration is the rate at which an object changes its velocity. It is a vector quantity, which means it has both magnitude and direction. The standard unit of acceleration is meters per second squared (m/s²).
Acceleration can be caused by forces such as gravity, friction, and electromagnetism. When a force acts on an object, it causes a change in the object's motion, resulting in acceleration.
The relationship between acceleration, velocity, and time is described by the equation a = (v_f - v_i) / t, where a is acceleration, v_f is final velocity, v_i is initial velocity, and t is time.
The effects of acceleration can be seen in everyday experiences, such as feeling pushed back into your seat when a car accelerates or feeling weightless during freefall. Understanding acceleration is important in fields such as physics, engineering, and transportation.
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TRUE OR FALSE: Increasing the time of impact during a collision increases the force experienced by the object.
Answer: True
Explanation:
Which of the following substances would allow an electric current to flow through it easily?(1 point)
Responses
glass
aluminum (Al)
rubber
carbon (C)
Aluminum (Al) allows an electric current to flow through it easily. The correct option is B.
What is electrical conductivity?Electricity is the flow of electric charge through a conductor. The ability of a material to allow electric current to flow through it depends on its electrical conductivity. Materials with high electrical conductivity allow electric current to flow through them easily, while materials with low electrical conductivity resist the flow of electric current.
Here in the Question,
Option A: Glass is a poor conductor of electricity and has very low electrical conductivity. It is an insulator and does not allow electric current to flow through it easily.
Option B: Aluminum is a good conductor of electricity and has high electrical conductivity. It allows electric current to flow through it easily.
Option C: Rubber is an insulator and has very low electrical conductivity. It does not allow electric current to flow through it easily.
Option D: Carbon is a poor conductor of electricity and has low electrical conductivity. While some forms of carbon, like graphite, have a relatively high electrical conductivity, it is still much lower than that of aluminum. So, carbon does not allow electric current to flow through it easily.
Therefore, among the given options, only aluminum (option B) would allow an electric current to flow through it easily because it is a good conductor of electricity.
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They include cash,
accounts receivable, notes receivable,
inventory and prepaid expenses. Step 8
explains each one in detail.
1.
You are the owner of an appliance store.
Choose four categories from above and
explain how that asset may fit into your
business. For example, if I owned a
company that installed furnaces, my
inventory would include different types of
furnaces and air conditioners as well as
controls to operate them. Accounts
receivable would include the installations
we did but have not been paid for yet.
As the owner of an appliance store, the following four categories of assets could apply to my business:
What are the categories of assets that could apply to my business?Cash: Cash is the most liquid asset and represents the money that the business has on hand or in the bank. As an appliance store owner, cash can be used to pay for business expenses such as rent, utilities, employee wages, and inventory purchases.
Accounts receivable: Accounts receivable represents the money that customers owe to the business for goods or services that have been sold but not yet paid for. In the context of an appliance store, accounts receivable would include sales made on credit, where customers are allowed to take the appliances and pay for them at a later date.
Inventory: Inventory represents the goods that the business has on hand to sell to customers. For an appliance store, inventory would include appliances such as refrigerators, washing machines, dryers, and ovens. The value of the inventory can fluctuate depending on market demand, changes in technology, and other factors.
Prepaid expenses: Prepaid expenses represent the costs that the business has paid in advance for goods or services that will be used in the future. In the context of an appliance store, prepaid expenses may include things like rent payments, insurance premiums, and maintenance contracts. By prepaying for these expenses, the business can ensure that it has access to the resources it needs to operate efficiently.
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You are working as an intern for a meteorological laboratory. You are out in the field taking measurements from a balloon that is carrying equipment designed to measure electric fields in the atmosphere. Your supervisor has asked you to determine the average volume charge density at a certain height in the air. When the balloon is at an altitude of 500 m above the ground, the electric field is measured to be 190 N/C directed downward. At 600 m above the ground, the electric field is 160 N/C downward. (a) Determine the average volume charge density (in C/m3) in the layer of air between these two elevations. (Enter the magnitude.) C/m3 (b) Is this layer of air positively or negatively charged? positively charged negatively charged Need Help? Read It
The average volume charge density is calculated to be - 6.99 × 10³⁰ C/m³ and layer of air is negatively charged.
Given that E₁ = electric field at 500 m above the ground = 190 N/C (it is negative since it is directed downwards).
Given that E₂ = electric field at 600 m above the ground = 160 N/C (it is negative since it is directed downwards).
The total flux, Ψ = ∫E dA = E₁ dA cosθ + E₂ dA cosθ
For the 600 m surface E is parallel to dA, that is 0° and For the 500 m surface E is anti-parallel to dA, that is 180°
Ψ = ∫E₁ dA cos180° + ∫E₂ dA cos0°
= -∫E₁dA + ∫E₂dA
= -E₁∫dA + E₂∫dA
= -E₁4πR² + E₂4πR²
= (-E₁ + E₂) 4πR²
(where R is the radius of earth = 6.4 × 10⁶ m)
= (-190 N/C + 160 N/C)4π(6.4 × 10⁶ m)²
= (- 30 N/C) 4π(6.4 × 10⁶ m)²
= - 15433.73 × 10¹² C
= - 1.5433 × 10¹⁶ C
≅ - 1.54 × 10¹⁶ Nm²/C.
The total charge through the area is thus, Q = Ψ/ε₀
= -1.54 × 10¹⁶ Nm²/C ÷ 8.854 × 10⁻¹² F/m
= -0.174 × 10²⁸ C/m²
The charge in the volume = charge net charge of surface × width of volume.
The charge in the volume Q' is formulated as,
⇒ QΔh = Q(h₂ - h₁)
where, h₁ = 500 m and h₂ = 600 m
Q' = Q(h₂ - h₁)= -0.174 × 10²⁸ C/m²(600 m - 500 m)
= - 2.33 × 10²⁸ C/m²(100 m)
= - 233 × 10²⁸ C/m³
= - 2.33 × 10³⁰ C/m³
b) As Q' = - 6.99 × 10³⁰ C/m³, the layer of air is observed to be negatively charged.
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Could you please help with the attached question?
the work done by the ball is 38.72 J.
define work done ?
In physics, work is defined as the product of force and displacement. It is a measure of the energy transferred when a force is applied over a distance, resulting in the displacement of an object. Mathematically, work is represented by the formula:
Work = Force x Distance x Cos(theta)
where Force is the applied force, Distance is the displacement of the object, and theta is the angle between the force and the displacement vectors. The unit of work is the Joule (J), which is equivalent to one Newton-meter (N·m). Work can be positive, negative, or zero, depending on the direction of the force and displacement. If the force is in the same direction as the displacement, work is positive, and if the force is in the opposite direction to the displacement, work is negative. If the force and displacement are perpendicular, the work is zero.
Work = Force x Distance x Cos(theta)
where:
Force = 484 N (given)
Distance = 8 cm = 0.08 m (given)
Cos(theta) = 1 (since the force and displacement are in the same direction)
Plugging in the values, we get:
Work = 484 N x 0.08 m x 1
Work = 38.72 Joules (J)
Therefore, the work done by the ball is 38.72 J.
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How could you use creative thinking to show the relationship between velocity and kinetic energy?.
Kinetic energy depends οn the velocity of the object squared. This means that when the velocity of an οbject doubles, its kinetic energy quadruples.
What is Kinetic energy ?The energy an οbject has as a result of motion is referred to as kinetic energy. If we want tο accelerate an object, we must exert force. To apply a force, we must wοrk hard. When the work is done, energy will have been transferred tο the item, causing it to move at a new, constant speed.
This equation demοnstrates the direct relationship between an object's kinetic energy and the square οf its speed. Therefore, for every twofold increase in speed, the kinetic energy will increase by a factοr of four. A threefold increase in speed will result in a nine-fοld increase in kinetic energy.
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A football coach sits on a sled while two of his players build their strength by dragging the sled across the field with ropes. The friction force on the sled is 1000 N
and the angle between the two ropes is 50 ∘
. Assume both players pull with the same force.
Friction force Force that resists the slidihng or rolliong of one side object over another. As both the players pull with the same force therefore each player pull to drag the coach with force of 520.83
What is Friction?
Friction force on the given sled is 1000 N.
Angle between the two ropes dragging by the players is 50 Celcius.
Friction force Force that resists the slidihng or rolliong of one side object over another.
Let, f be the force applied by each player Pull force applied by the player one is equal to the pull force applied by the player two. Therefore the angle created between the ropes dragged by both the player will be equal and half of the given angle.
Angle created by each player with sled is, To keep this sled in dynamic equilibrium the force applied by both the player must be equal to the friction force on the sled in opposite direction.
Therefore, Hence, each player pull to drag the coach with force of 520.83.
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A jogger runs on the track shown in the figure.
Neglecting the curvature of the corners, what is the distance traveled and the displacement in running from point A to point B?
(part a)
Find the distance and displacement for a complete circuit of the track.
(part b)
A) 130m for distance, 100m for displacement
B)260m for distance, 0m for displacement
Distance is the sum of all movement taken from start to finish, regardless of position or direction. Since we are going from point A, which is halfway through the 30m side, to point B, which is also halfway through another 30m side, we divide both by 2 and add them together to get 30m once more. Then we take into account the long side of the track, measuring 100m, and can decide that the total distance is 130m.
The displacement, however, doesnt take into account the extra 15m travelled on either of the short sides of the track. When talking about displacement, we are only looking at the distance BETWEEN point A and point B, not the real distance travelled to get to them. Think of it as if youve drawn a line between both points and are mesuring that line and that line only. Because that line would have the exact length as the long side of the track, we can decide that the displacement is 100m.
For part B, the distance is easy to find as we just add up all sides of the track. The tricky part is understanding why displacement is zero. Like I said earlier, it's easiest to imagine a line drawn between both points of mesurment when talking about displacement. In this case, we are talking about the jogger leaving from point A and returning to point A. As I'm sure youve guessed, we cannot possibly draw a line between point A to point A, therefore making the displacement 0.
I'm sorry this is a lot of writing, but I, myself, had a lot of difficulty wrapping my head around the concept of displacement and wanted to make sure it was easy to understand. Hope this helps
POSSIBLE POINTS: 1
Based on what you have learned from this project so far, describe the relationship between mass and gravitational force (the size of the gravity force
vectors). You should use directly proportional or inversely proportional in your answer. Use at least three complete sentences to justify your answer
(explain why you think what you think).
Answer:
F = G * (m1 * m2) / r^2
Explanation:
The relationship between mass and gravitational force is directly proportional. This means that as the mass of an object increases, the magnitude of the gravitational force acting on it also increases. The exact relationship can be described using Newton's law of universal gravitation, which states that the gravitational force between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between them.
This relationship can be expressed mathematically as:
F = G * (m1 * m2) / r^2
where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them.
This relationship makes intuitive sense: larger objects have a greater ability to pull other objects towards them, so the gravitational force they exert is stronger. On the other hand, as the distance between two objects increases, the gravitational force between them decreases, because the pull is spread out over a larger area.
Aɳʂɯҽɾҽԃ Ⴆყ ɠσԃKEY ꦿ
A car is stopped at a traffic light. It then travels along a straight road so that its distance from the traffic light is given by x(t)=bt^2 −ct^3 , where b=2.40ms^−2 and c=0.120ms^−3 .The instantaneous velocity of the car at t=5.0s is
The instantaneous velocity of the car at t = 5.0s is 4.5 m/s.
Take the derivative of its position function x(t) with respect to time,
[tex]v(t) = \dfrac{dx(t)}{dt}[/tex]
v(t) represents the velocity of the car at any given time t.
Given x(t) = bt^2 - ct^3,
Find the derivative as follows,
v(t) = {d/dt} (bt^2 - ct^3)
= 2bt - 3ct^2
Substitute the given values of b and c, and evaluate the velocity at t = 5.0s,
v(5.0s) = 2b(5.0s) - 3c(5.0s)^2
= 2(2.40 m/s^2)(5.0 s) - 3(0.120 m/s^3)(5.0 s)^2
= 12.0 m/s - 7.5 m/s
= 4.5 m/s
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When a transverse wave travels through a medium, which of the following is TRUE?
A. the medium determines the wavelength
B. the medium determines the amplitude of the wave vibrations.
C. vibrations are parallel to the direction the wave travels.
D. the medium determines the wave frequency
E. vibrations are perpendicular to the direction the wave travels
The medium determines the amplitude of the wave vibrations is the correct option (B) .
What is wave ?
Laminar and transverse waves are the two types of waves. Longitudinal waves are similar to those of sound in that they alternate between compressions and rarefactions in a medium, much like transverse waves in that the surface of the medium rises and falls.
What is transverse wave ?
The term "transverse wave" refers to motion in which all wave points oscillate along trajectories that are perpendicular to the wave's forward velocity. Transverse waves include electromagnetic (such as radio and light) and seismic S (secondary) waves. Surface ripples on water are another example.
In a transverse wave, the medium's particles vibrate up and down perpendicular to the wave's direction. In a longitudinal wave, the medium's particles vibrate back and forth parallel to the wave's direction.
Therefore, medium determines the amplitude of the wave vibrations is the correct option (B) .
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28. Batman is sitting in the Batmobile at a stoplight.
As the light turns green, Robin passes Batman in his lime-green Pinto at a constant speed of 60 km/h. If Batman gives chase. accelerating at a constant rate of 10 km/h/s. determine
a) now long 1t takes batman to attain the
same speed as Robin.
b) how far Batman travels in this time.
c) how long it takes for Batman to catch up
to Robin.
If Batman gives chase and accelerating at a constant rate of 10 km/h/s then:
a) 6 seconds
b) 360 meters
c) 12 seconds
Accelerating is a process whereby an object, or a system of objects, increases its speed or rate of change. It is a fundamental concept in physics and is used to describe the motion of objects, such as an acceleration due to a force, or the rate of change in velocity. Accelerations can also be caused by a change in direction, or due to changes in gravity, such as when accelerating towards the surface of a planet.
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HELPPPP
i need this done quickly
Answer:
F(Net) = F(a) + F(g) + F(f) + FN.
If air resistance exerts a constant force of 200 N on a car, what amount of forward force from the engine is
needed to make a 1000 kg car accelerate at 10 m/s² forward? Is this force constant or increasing?
The forward force is 10200 N.
What is the forward force?The term "forward force" is not commonly used as a specific term, but it could refer to any force that acts in the direction of motion of an object. For example, the force generated by a car's engine that propels it forward is commonly referred to as the "driving force," which could be considered a type of forward force.
We have to note that the Fnet = ma
= 1000 * 10 = 10000 N
Thus;
Fnet = Force force - Resistance force
Forward force = Fnet + Resistance force
= 10000 + 200
= 10200 N
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The amount of forward force from the engine needed to make the 1000 Kg car accelerate 10 m/s² forward is 10200 N
How do I determine the forward force needed to accelerate the car?First, we shall obtain the net force acting on the 1000 Kg car. Details below:
Mass of car (m) = 1000 KgAcceleration of car (a) = 10 m/s²Net force (F) =?Net force = mass × acceleration
Net force = 1000 × 10
Net force = 10000 N
Finally, we shall obtain the forward force needed to accelerate the car. This is illustrated below:
Net force = 10000 NResistant force = 200 NForward force = ?Net force = Forward force - resistant force
10000 = Forward force - 200
Collect like terma
Forward force = 10000 + 200
Forward force = 10200 N
Thus, the forward force needed is 10200 N
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Two blocks are connected by a string as shown. The inclination of the ramp is theta = 35 degrees while the masses of the blocks are m1=2.1kg and m2=11kg. Friction is negligible.Part (a): What is the magnitude of the acceleration of each block in m/s^2?Part (b): What is the tension in the rope in newtons?
(a) The acceleration of each block is zero. (b) The tension in the rope is 97.7 N.
(a) The forces acting on each block are,
For m1,
F_net = T - mg*sin(35)
For m2,
F_net = mg*sin(35) - T
Since the two blocks are connected by a rope, they will have the same acceleration.
T - mgsin(35) = mgsin(35) - T
T = mg*sin(35)
Substituting this value of T,
F_net = T - mg*sin(35)
F_net = mgsin(35) - mgsin(35)
F_net = 0
Therefore, the net force acting on each block in the direction of motion is zero.
(b) To find the tension in the rope,
T = mg*sin(35)
T = (2.1 kg + 11 kg)9.81 m/s^2sin(35)
T = 97.7 N
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3.1 Displacement, Velocity, and Acceleration
A turtle's velocity changes from v₁ = 1.0 mm/s at 0 = 0° to v₂ - 1.2 mm/s at 0= 20°. What is the change in the turtle's velocity?
The change in velocity of the turtle from 1 mm/s at angle 0° to motion at a velocity of 1.2 mm/s at an angle 20° is -0.51 mm/s.
What is Velocity?Velocity is defined as the directional motion of an object, as indicated by the rate of change of position as observed from a particular frame of reference and measured by a particular standard of time.
Velocity is the vector quantity as it has both magnitude as well as direction. It is expressed as
Velocity= Displacement/ Time Taken
It's SI unit is meter/second. Other units commonly used are ft./s, miles per hour km/h etc.
Here, initial velocity of turtle = 1 mm/s at 0°
u = u cosθ = 1 mm/s cos 0 = 1 mm/s
final velocity = v cos 20 = 1.2 m/s cos 20 = 0.48 mm/s.
then, change in velocity = 0.48 mm/s - 1 mm/s = - 0.51 mm/s.
Therefore, the change in velocity of the turtle is - 0.51 mm/s.
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The article stated that the deepest crisis is political - the failure of various political institutions in the United States to "promote the public welfare" as promised by the US Constitution. What do you think?
There are certainly significant challenges facing the US political system, and there is a need for reforms that can improve the functioning of government and promote public welfare. However, there is also an ongoing debate about the nature of these challenges and the best path forward to address them.
What institutional failures have hindered the government's ability to address major public policy challenges?Critics of the US political system argue that several institutional failures have hindered the government's ability to address major public policy challenges. For example, some say that the US Congress has become increasingly dysfunctional. In contrast, others point to the role of money in politics, with the influence of wealthy donors and special interest groups limiting the ability of elected officials to act in the public interest.
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A pendulum bob of mass 5 kg is displaced from the vertical until it is 0.25 m above its lowest point. Upon release, it rises to a height of 0.24 m on the other side. How much energy was lost due to friction? Assuming half the total energy loss takes place during the downward swing, with what speed does the bob pass though its lowest point?
The energy lost due to friction is 0.49 J. And the speed of the bob passing through its lowest point will be 2.19 m/s.
What is the conservation of energy?The mass is 5 kg and the heights are h₁ 0.25 m and h₂ = 0.24. And the difference in the height is given as,
h₁ - h₂ = 0.25 - 0.24
h₁ - h₂ = 0.01
The energy loss due to friction is given as,
Energy loss = mgh₁ - mgh₂
Energy loss = mg (h₁ - h₂)
Energy loss = 5 x 9.8 x 0.01
Energy loss = 0.49 J
The energy lost due to friction is 0.49 J.
The velocity is given as,
KE = mgh₁ - E / 2
(1/2) x 5 x v² = 5 x 9.8 x 0.25 - 0.49 / 2
2.5v² = 12.25 - 0.245
v² = 4.802
v = 2.19 meters per second
The speed of the bob passing through its lowest point will be 2.19 m/s.
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Find the equivalent resistance between points A and B of the resistor combination shown in this figure for the following values: R1=1.1Ω,R2=2.1Ω,R3=3.1Ω,R4=4.1Ω,R5 =4.9Ω. (b) If a potential difference of 11.6V is applied between points A and B, find the potential difference across resistor R4.
(a) The equivalent resistance between points A and B is 16 Ω.
(b) The potential difference across resistor R4 is 3 V.
What is the equivalent resistance between points A and B?
To find the equivalent resistance between points A and B, we can use the formula for the equivalent resistance of a series circuit:
R_eq = R1 + R2 + R3 + R4 + R5
Substituting the given values:
R_eq = 1.1 Ω + 2.1 Ω + 3.1 Ω + 4.1 Ω + 4.9 Ω = 16 Ω
To find the potential difference across resistor R4, we can use Ohm's law.
V = IR
I = V / R_eq
I = 11.6 V / 16 Ω = 0.725 A
Since R4 is in series with the other resistors, the same current flows through R4 as through the rest of the circuit. So we can use Ohm's law to find the voltage across R4:
V_R4 = I x R4
= 0.725 A x 4.1 Ω
= 3 V
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in the vector diagram below, the magnitude of A is 15m, the magnitde of B is 18m and the magnitude of C is 6m. Find the resultant vector using component method. Angle A = 35 Angle B = 30 Angle C = 50.
Answer:
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
Explanation:
how crumple zones and air bags can reduce the chance of death or injury using the principle of physics
The principle of physics behind crumple zones and airbags design is to dissipate the force of an impact over a larger area, reducing the maximum force experienced by the occupants of the car.
What are crumple zones and air bags?Crumple zones and airbags are two important safety features in modern cars that reduce the chance of death or injury in the event of a collision.
Crumple zones work by collapsing in a controlled manner during a collision. The energy of the impact is absorbed by the deformation of the metal, reducing the force experienced by the passengers.
Airbags work by rapidly inflating in the event of a collision, cushioning the occupants of the car and reducing the force they experience. This works by distributing the force of the impact over a larger area, reducing the maximum force experienced by the body.
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If the actual mass of the products from the reaction was 120 g , what was the percent yield of the reaction?.
According to the question This gives us a percent yield of 150%.
What is percent yield?Percent yield is a measure used in chemistry to calculate the efficiency of a chemical reaction. It is expressed as a percentage and is calculated by comparing the actual yield of a product obtained in a reaction to the theoretical yield, which is the maximum amount of product that could have been produced.
The percent yield of a reaction is the ratio of the actual yield of the reaction to the theoretical yield of the reaction multiplied by 100.
Therefore, to calculate the percent yield, we need to first calculate the theoretical yield of the reaction. We can do this by multiplying the given mass of reactants, in this case 80 g, by the stoichiometric coefficient of the desired product, which is 1.
This gives us a theoretical yield of 80 g.
Now, to calculate the percent yield, we divide the actual yield, which is 120 g, by the theoretical yield, which is 80 g, and multiply by 100.
This gives us a percent yield of 150%.
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(iii) The area of the piston is 5.0 x 10-³m². Calculate the weight that is added to the piston.(the initial pressure is 105000 and the final is 140000, the air decreases from 860 cm3 to 645cm3)
The weight added to the piston is 175 N.
What is the weight that is needed?
The weight that is added to the piston can be calculated using the Ideal Gas Law, which states that PV = nRT
where;
P is pressure, V is volume, n is the number of moles of gas, R is the gas constant, and T is temperature.Since the initial pressure, volume, and temperature are known, we can use the Ideal Gas Law to find the number of moles of gas, n.
Then, we can use the equation for pressure force, to find the weight added to the piston.
F = PA
where;
A is the area of the piston, .First, we'll find the initial number of moles of gas:
P1V1 = nRT
n = P1V1 / RT
T = 298 K is the temperature (room temperature)
n = (105000 Pa x 860 cm^3) / (8.31 J/mol.K x 298 K)
Next, we'll find the final number of moles of gas:
P2V2 = nRT
n = P2V2 / RT
n = (140000 Pa x 645 cm^3) / (8.31 J/mol.K x 298 K)
Now, we have the number of moles of gas for both the initial and final conditions, and we can calculate the change in number of moles of gas, ∆n:
∆n = n2 - n1
Finally, we can use the equation for pressure force to find the weight added to the piston:
F = PA
∆F = P2A - P1A
∆F = (140000 Pa - 105000 Pa) x 5.0 x 10^-3 m^2
∆F = 35000 Pa x 5.0 x 10^-3 m^2
∆F = 175 N
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(3 of 5)
Referring to the two questions above, the transit detection method relies on the difference
between the flux when the planet is transiting versus when it is off to the side. The larger
the difference, the better chance astronomers have of detecting the planet. For which of
the above is the transit detection method more likely to detect the planet?
O The configuration in question 1.
O The configuration in question 2
O Both are the same, so there is no dependence on planet size.
Answer: The configuration in question 2
Explanation:
Answer:
The configuration in question 1 (correct)
Explanation:
W
Question 9
1 pts
The initial vertical velocity (Vyi) needed to raise your center of mass from an initial
height (yi) of 1.2 m to a peak height (yf) of 1.8 m is
The initial vertical velocity needed to raise the center of mass from 1.2 m to a peak height of 1.8 m is approximately 3.43 m/s.
What is the initial velocity?The initial vertical velocity needed to reach a peak height can be calculated using the equation of motion for a projectile under constant gravity:
Vyi = √(2 * g * (yf - yi))
where:
g is the acceleration due to gravity (approximately 9.8 m/s^2)yi is the initial height (1.2 m)yf is the peak height (1.8 m)Plugging in the values, we get:
Vyi = √(2 * 9.8 * (1.8 - 1.2))
Vyi = √(2 * 9.8 * 0.6)
Vyi = √(11.76)
Vyi = 3.43 m/s
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Water has a specific heat of 4184 Jkg⋅∘C. How much energy is needed to increase the temperature of a kilogram of water5∘C?
The specific heat capacity of water is 4184 and it needs 20920J energy to increase the temperature of a kilogram of water 5 degree celcius.
The amount of heat required to raise the temperature of one gramme of a substance by one degree Celsius. Specific heat is usually measured in calories or joules per gramme per Celsius degree. Water, for example, has a specific heat of 1 calorie (or 4.186 joules) per gramme per Celsius degree.
A substance's specific heat capacity is the amount of heat energy required to raise the temperature of a unit mass of that substance by 1oC. (or 1K). The SI unit of measurement is joule per kilogramme per kelvin (Jkg-1K-1).
By using the equation:-
Q= mCΔmCΔTT
(where, Q= energy, m= mass of the sample, C= specific heat of the sample and delta T is the change in temperature).
[tex]Q= 1kg*4184J*(5-0)= 20920J.[/tex]
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A 24.0 kg rock, m, is on the edge of a 80.0 m cliff, h, as shown in Figure 11-20. Assume that air resistance is negligible.
(a) What potential energy does the rock possess relative to the base of the cliff?
(b) The rock falls from the cliff. What is its kinetic energy just before it strikes the ground?
(a) The potential energy of the rock relative to the base of the cliff can be calculated using the formula for gravitational potential energy:
PE = mgh
where m is the mass of the rock (24.0 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the height of the cliff (80.0 m).
PE = 24.0 kg * 9.8 m/s^2 * 80.0 m = 15,360 J
(b) The kinetic energy of the rock just before it strikes the ground can be calculated using the formula for kinetic energy:
KE = 0.5 * m * v^2
where m is the mass of the rock (24.0 kg) and v is the velocity of the rock just before it strikes the ground. The velocity can be calculated using the equation of motion for a freely falling object:
v = sqrt(2gh)
v = sqrt(2 * 9.8 m/s^2 * 80.0 m) = 44.72 m/s
KE = 0.5 * 24.0 kg * 44.72 m/s^2 = 507.84 J
There are various stages in the formation of coal as heat and pressure are increased and moisture content is decreased. These stages, in order, are
bituminous, peat, lignite, anthracite
bituminous, peat, lignite, anthracite
A
peat, lignite, bituminous, anthracite
peat, lignite, bituminous, anthracite
B
peat, lignite, anthracite, bituminous
peat, lignite, anthracite, bituminous
C
lignite, bituminous, anthracite, peat
lignite, bituminous, anthracite, peat
D
anthracite, bituminous, peat, lignite
Correct order in formation of coal as heat and pressure are increased and moisture content is decreased is (B) peat, lignite, bituminous, anthracite.
Peat is the first stage in the formation of coal, and is made up of partially decomposed plant material with a high moisture content. As heat and pressure are increased, the moisture content decreases and the plant material becomes more compressed, leading to the formation of lignite. Lignite is a low-grade coal with a relatively low carbon content, and is often referred to as brown coal.
With further increases in heat and pressure, lignite is transformed into bituminous coal, which has a higher carbon content and is often used for electricity generation. Finally, with even greater heat and pressure, bituminous coal is transformed into anthracite, which is the highest grade of coal and has the highest carbon content.
The stages of coal formation are important to understand because different types of coal have different uses and properties. For example, anthracite is often used for heating because it burns very cleanly and efficiently, while bituminous coal is often used for electricity generation because it has a higher energy content.
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To pick up a few staples from the table, a student wrapped copper wire around a nail and connected it to a battery. She was able use this device to pick up all staples. How was this possible?
A. The current moving through the wire made the nail into an electromagnet.
B. The staples are responding to the wire because it was made of copper.
C. The electricity from the wire was arcing to the staples.
D. The protons in the staples and are attracted to the electrons in the wire.
Answer:
The correct answer is A. The current moving through the wire made the nail into an electromagnet.
An electromagnet is created when a current is passed through a wire. The flow of electrons creates a magnetic field, which can attract or repel other magnetic objects. In this case, when the student wrapped the copper wire around the nail and connected it to a battery, the flow of electrons created a magnetic field around the nail. This magnetic field allowed the student to pick up the staples because they were attracted to the nail, which was now acting as an electromagnet.
