When gasoline is burned in an engine, not all of the energy contained in the gasoline is transferred to the engine. Rather, some of the energy is lost as heat.
The amount of energy transferred to the engine by burning gasoline depends on the engine's efficiency, which varies depending on factors such as the engine design and the driving conditions.
Efficiency is an important consideration when evaluating the performance of an engine. It is defined as the ratio of the energy output of the engine to the energy input.
In the case of an internal combustion engine, the energy output is the power produced by the engine, and the energy input is the energy contained in the fuel burned by the engine.
The efficiency of a gasoline engine is typically in the range of 25-30%.
This means that only about 25-30% of the energy contained in the gasoline is transferred to the engine in the form of power.
The remaining energy is lost as heat through the engine's exhaust and cooling systems and as friction within the engine.
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4. A dry cleaner throws a 22 kg bag of laundry onto a stationary 9.0 kg cart. The cart and the laundry bag
begin moving at 3.0 m/s to the right. Find the velocity of the laundry bag before the collision.
The velocity of the laundry bag before collision is 4.22 m/s. The collision of two objects in the absence of an external force does not affect the momentum of the two bodies.
What is Collision?Collision is the sudden, forceful coming together of two objects in direct contact with each other, such as, two billiard balls, a golf club and a ball, a hammer and a nail head, two cars when being coupled together.
In order to solve this problem, the principle of conservation of momentum can be applied. This tells us that the momentum of a system is preserved before and after a collision.
Both the movements i.e., bag and cart are positive, since they both move in the same direction. Now, the momentum of objects before the collision is equal to the momentum of objects after the collision.
This can be represented as:
m₁ × v₁ = m₂ × v₂
Here, m₁ = mass of the laundry bag = 22kg
v₁ = velocity of the laundry bag
m₂ = sum of the mass of laundry bag and cart = 9kg
v₂ = velocity of the moving cart = 3m/s
m₁ × v₁ = m₂ × v₂
22kg × v₁ = (22+9)kg × 3m/s
v₁ = (31kg × 3m/s)/ 22kg
v₁ = 93/22
v₁ = 4.22m/s.
Therefore, the velocity of the laundry bag before collision is 4.22m/s.
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What is equilibrium?
when there are no forces
when all forces acting on an object remain the same
when an object does not move
when the forces acting on an object change
Answer:
when all forces acting on an object remain the same
None of the choices is correct.
Equilibrium is the condition when all forces acting on an object are balanced. Then, the object doesn't accelerate. It continues in constant, uniform motion. It moves at a constant speed (which may be zero), and in a straight line.
Two resistors, R 1 and R 2 , are connected in parallel. R 2 =221.0 ohms, and the equivalent resistance of the combination is 120.7 ohms. What is the value of R 1 ? (Unit = ohm)
Answer:
Explanation:
When resistors are connected in parallel combination, then equivalent resistance is given by,
\( \to \quad \bf{ \dfrac{1}{R_1} + \dfrac{1}{R_2} =\dfrac{1}{R_p}}\)
Inserting values,
\( \to \quad \bf { \dfrac{1}{R_1} + \dfrac{1}{R_2} =\dfrac{1}{R_p} } \\ \\ \to \quad \bf { \dfrac{1}{R_1} + \dfrac{1}{221} =\dfrac{1}{120.7} } \\ \\ \to \quad \bf { \dfrac{221+R_1}{(R_1)(221)} =\dfrac{1}{120.7} } \\ \\ \to \quad \bf { \dfrac{221+R_1}{221R_1} =\dfrac{1}{120.7} } \\ \\ \to \quad \bf { 120.7(221+R_1) = 221R_1(1)} \\ \\ \to \quad \bf { 26674.7 + 120.7R_1= 221R_1} \\ \\ \to \quad \bf { 26674.7= 221R_1- 120.7R_1} \\ \\ \to \quad \bf { 26674.7 = 100.3R_1} \\ \\ \to \quad \bf { \dfrac{26674.7 }{100.3} =R_1} \\ \\ \to \quad\underline{\boxed{ \bf { 265.9 \; \Omega=R_1}}} \\ \)
Which is an example of potential energy being transformed into kinetic energy?
A. A rock sitting at the top of a hill rolling down the hill.
B. A rock sitting at the top of a hill without moving.
C. A rock at the bottom of a hill being pushed up the hill.
D. A rock sitting at the bottom of the hill without moving.
Answer:
B is the right answer
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Which of the following is a mixture?
does there appear to be an externality associated with tire production?
Yes, there does appear to be an externality associated with tire production.
This is because tire production often involves the release of pollutants and emissions into the environment, which can have negative effects on the health and well-being of individuals and ecosystems. Additionally, the disposal of tires can also lead to environmental damage if they are not properly recycled or disposed of. Therefore, the costs of tire production and disposal are not fully borne by the producers and consumers of tires, but also by society as a whole, making it an example of a negative externality.
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Which of the following is Ohm's Law?
I = V/R
V = I/R
R = I x R
V = R/I
Answer
v= 1/R mark me brainliest pls
Why are images reflected from a rough surface not as clear as those reflected from a smooth
surface?
Answer:
Just as images are reflected from the surface of a mirror, light reflected from a smooth water surface also produced a clear image. ... Consequently, the outgoing rays are reflected at many different angles and the image is disrupted. Reflection from such a rough surface is called diffuse reflection and appears matte.
Explanation:
hi po I hope it's help you
9. Lying on this board, Annabelle wants to determine how far her center of mass is from her feet.a) What is Annabelle’s mass?b) How far from her feet is Annabelles center of mass?
Given,
The mass of the board, m=5 kg
The reading on the weighing board near the feet of Annabelle, F₁=380 N
The reading of the weighing board near the head of Annabelle, F₂=280 N
The total distance between the two weighing boards, d=2.50 m
Let us assume that the centre of mass of the board lies exactly at its geometrical centre. Thus the distance of the centre of mass of the board from either of the weighing boards is l=2.50/2=1.25 m
a)
As the system is in equilibrium, the total downward gravitational force is equal to the upward reaction force applied by the boards. Thus,
\(\begin{gathered} M\times g+mg=F_1+F_2 \\ M=\frac{F_1+F_2-mg}{g} \end{gathered}\)Where M is the mass of Annabelle and g is the acceleration due to gravity.
On substituting the known values,
\(\begin{gathered} M=\frac{380+280-5\times9.8}{9.8} \\ =62.35\text{ kg} \end{gathered}\)Thus Annabelle's mass is 62.35 kg
b)
The entire system is also in rotational equilibrium and net torque is zero.
Let us assume that the weighing board near Annabelle's feet is the pivot point of the system.
Therefore,
\(Mgd_c+mg\times l=F_2\times d\)Where d_c is the distance of the centre of mass of Annabelle from her feet.
On rearranging the above equation,
\(d_c=\frac{F_2\times d-mg\times l}{Mg}\)On substituting the known values,
\(\begin{gathered} d_c=\frac{280\times2.50-5\times9.8\times1.25}{62.35\times9.8} \\ =1.05\text{ m} \end{gathered}\)Thus the centre of mass of Annabelle is 1.05 m from her feet.
Select the correct expression that gives the block's acceleration at a displacement xxx from the equilibrium position. Note that xxx can be either positive or negative; that is, the block can be either to the right or left of its equilibrium position.a=−kxa=kxa=(k/m)xa=(−k/m)xa=(−k/m)x
a=(−k/m)x is the correct expression that gives the block's acceleration at a displacement xxx from the equilibrium position.
What is the acceleration at the equilibrium position?The acceleration of an object is equal to its mass divided by the net force exerted on it, or a = F m, in accordance with Newton's second law of motion. When an object's mass and the net force acting on it are known, its acceleration can be calculated using this equation for acceleration.
There is no restoring force when the mass reaches the equilibrium position. Since there is no acceleration, the mass is traveling at its fastest possible rate. Amplitude is the term used to describe the particle's largest departure from its mean position.
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A negative charge of -0.00067 C and a positive charge of 0.00096 C are separated by 0.7 m. What is the force between the two charges?
Answer:
-11,813.87N
Explanation:
According to coulombs law, the Force between the two charges is expressed as;
F = kq1q2/d²
k is the coulombs constant = 9*10⁹kg⋅m³⋅s⁻²⋅C⁻².
q1 = -0.00067 C
q2 = 0.00096 C
d = 0.7m
Substitute into the formula:
F = 9*10^9 * -0.00067 * 0.00096/0.7²
F = 9*10⁹*-6.7*10⁻⁴*9.6*10⁻⁴/0.49
F = -578.88*10⁹⁻⁸/0.49
F = -578.88*10/0.49
F = -5788.8/0.49
F = -11,813.87N
Hence the force between the two charges is -11,813.87N
explain the arrangements of molecular magnets in a magnet and in a magnetic substance
: Molecular magnet can refer to : molecular based magnet . An unconventional magnetic material that consists of organic molecules cordination compounds and combination
An inactive teen should eat approximately
day.
calories per
1000-1400
1400-1600
1800-2400
3400-3800
Answer:
so i believe your answer is abt 1800-2400
Explanation:
According to the Dietary Guidelines for Americans 2010, sedentary teen girls between the ages of 13 and 18 need 1,600 to 1,800 calories per day, while active girls require 2,200 to 2,400 calories each day
Is 53cm bigger than 5m?
No, 53cm is less than 5m.
Janon walked 6m to the right, and 3m to the left, and then 4m to the right. What is
displacement? rs
(1 Point)
13 m
3 m
7 m
7 m right
Answer:
7 m
Explanation:
They began walking 6 meters to the right, so +6.
Then 3 meters left so -3,
And then 4 meters to the right again so +4.
4+6-3=7 meters
Nio adopts the face-centered-cubic arrangement. given that the density of nio is 6.67 g/cm3, calculate the length of the edge of its unit cell (in pm).
The length of the edge of its unit cell is mathematically given as
a = 420 pm
What is the length of the edge of its unit cell?Extending from one point to another, length is the unit of measurement for distance.
According to the SI, length is a distance dimension. Typically, a length unit is selected as the basis for the system, with all other units of measurement being derived from it.
The metre is the fundamental length standard used throughout the International System of Units.
Generally, the equation for density is mathematically given as
density = Z x M / No x a3
Therefore
density = 4 x 74.6 / 6.02x10^23
density = 6.67 g/cm3
In conclusion,
6.67 g/cm3 = (4)(74.6) / (6.02x1023)(a3)
a3 = 7.43x10-23 cm3
a = 420 pm
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An electric geyser consumes 2.2units of electrical energy per hour of its use. It is designed to work on 220v. What is the resistance of this device? Find the cost of energy consumed if each unit costs Rs 6.00.
Answer:
Explanation:
The resistance of this device is determined by using the formuia from Ohms Law:
V = IR
where; V = voltage
I = current
R = resistance
From the above equation:
R = V/ I ---- (1)
And
I = P/V --- (2)
If 1 unit = 1 KWH = 3.6 × 10⁶ J
Then;
2.2 units = (3.6 × 10⁶ × 2.2)
= 7.92 × 10⁶ J
So, Energy = 7.92 × 10⁶ J
Also:
Power = energy/time
Power = 7.92 × 10⁶ J / 1 hour
Power = 7.92 × 10⁶ J / 3600 seconds
Power = 2200 Watts
From equation (2)
I = P/V
I = 2200/220
I = 10 A
Recall that:
Resistance R = V/I
Resistance R = 220/10
Resistance R = 22 ohms
SO, if 1 unit costs = Ts 6.00
Then the cost of 2.2 unit = 2.2 ( Rs 6.00)
= Rs 13.20
A broom with a long handle balances at its centre of gravity as shown in the figure. If you cut the broom into two parts through the centre of gravity and then weigh each part, which part will weigh more? a) The part with the broom will weigh more. b) The part without the broom will weigh more c) Both the parts will weigh the same d) It would depend on the weight of the broom
Answer:
c) Both the parts will weigh the same
Explanation:
center of gravity is based on weight so if you cut down the center of gravity you would have 2 equal parts
(might be D if it is cutting against the center of gravity)
If an object has a mass of 132.4 g and a density of 10.5 g/mL, then what is its volume?
Answer:
0.0000126
hope it help u....
you see a displayed diver-down flag while boating. if possible, how far away must you stay from the flag?
If you see a displayed diver-down flag while boating, it is necessary to maintain a certain distance from the flag for safety reasons. The specific distance may vary depending on local regulations and circumstances, but it is generally recommended to stay at least 100 feet away from the flag.
A diver-down flag is used to indicate the presence of divers in the water. Its purpose is to alert boaters to the potential hazards and to ensure the safety of the divers. The exact distance you must stay away from the flag may be specified by local laws or regulations, so it is important to familiarize yourself with the rules of the area you are boating in.
In many places, a common guideline is to stay at least 100 feet away from the diver-down flag. This distance allows for a safe buffer zone to prevent any accidental collisions or disturbances to the divers. However, it's crucial to check and adhere to the specific regulations in your boating location, as they may vary and could require a different distance to be maintained. Prioritizing safety and respecting the presence of divers is essential to avoid any accidents or harm to both boaters and divers.
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with what speed does the projectile leave the barrel of the cannon? b. at what point does the ball have maximum speed? c. what is this maximum speed?
K s²/2, or the compressed spring's energy is transformed into the kinetic energy of the ball, m v²/2. The calculated value is 4.61 cm
This is,
m v²/2 + Ff b = k s/2
k s² - 2 Ff b = m v²
Sqrt(((k s2 - 2 Ff b)/m) = v
Using real numbers in place of:
Sqrt((8.01N/m (5.01cm) - 2. 0.0326N. 15.9cm)/5.2g) yields the value v.
equals sqrt((201 N cm²/m - 1.037 N cm)/5.2g)
= square root ((0.0201 Nm - 0.01037 Nm)/0.0052kg)
1.37 m/s = sqrt(1.872 m²/s²)
The ball passes through two phases before it leaves the muzzle.
The force of the spring, which is slowed down by the force of friction, accelerates it at first.
This accelerating force begins at its greatest level and progressively diminishes to zero.
The only force the ball encounters for the remainder of its course is friction, which slows it down.
The point where the accelerating force equals zero is where the ball is moving at its fastest.
That occurs at point x when the spring's force, k (s - x),
lowered by the frictional force, Ff, to zero.
k(s - x) - Ff = 0
x = s - Ff/k
replacing with actual numbers,
x = 8.01N/(5.01cm - 0.0326N)
is equal to 5.01cm - 0.0326N/(0.0801N/cm) = 4.61cm
The complete question is- A toy cannon uses a spring to project a 5.20-g soft rubber ball. The spring is originally compressed by 5.01 cm and has a force constant of 8.01 N/m. When the cannon is fired, the ball moves 15.9 cm through the horizontal barrel of the cannon, and the barrel exerts a constant friction force of 0.032 6 N on the ball.
(a) With what speed does the projectile leave the barrel of the cannon?
(b) At what point does the ball have maximum speed?
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Is speed a vector or a scalar quantity?
Speed is a scalar quantity because it is only represented by magnitude not a direction.
Additional information:Scalar quantity is a quantity that is only represented by magnitude. For eg :- distance, speed etc.Vector quantity is a quantity that is represented by both magnitude as well as direction. For eg :- displacement, velocity etc.(8%) problem 16: suppose you have a lens system that is to be used primarily for 695 nm red light. show answer no attempt what is the second thinnest coating of magnesium fluorite, which has an index of refraction of n
The second thinnest coating of magnesium fluoride for a lens system primarily used for 695 nm red light is approximately 503 nm.
Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
To determine the second thinnest coating of magnesium fluoride for a lens system primarily used for 695 nm red light, we will use the formula for thin film interference:
t = (mλ) / (2n)
where t is the thickness of the coating, m is the order of interference (1 for the thinnest coating, 2 for the second thinnest, etc.), λ is the wavelength of light (695 nm), and n is the index of refraction of MgF₂.
For the second thinnest coating (m=2), we can calculate the thickness:
t = (2 * 695 nm) / (2 * 1.38) ≈ 503 nm
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2) How could a motorcycle (a vehicle with less mass) make a van (a
vehicle with more mass) move? *
it depends upon what state they are in like in motion or res
How can you predict the final temperature of a mixture of two substances that start at a different temperatures?
Answer:
If it is a true mixture, the mixing enthalpy is negligible, and there is no reaction or phase change, then you can do this using exclusively the temperatures of the individual compounds and their heat capacities. Any other process that takes place needs to be taken into account separately.
The solution can be found by understanding that we’re only using state variables. You can design any complicated process that starts with the starting situation and ends up at the ending situation, and the state variables will be the same. And sometimes a complicated process is easier to calculate than the simple one-step process, like here when mixing multiple components.
One way that will work is to start by bringing all compounds to the lowest temperature of either of the compounds. All but one of the compounds must be cooled down for this; make sure to calculate for each of the components how much energy is released. Now, mix all the components together. In the simplest situation sketched above you can calculate the heat capacity of the mixture by adding all the heat capacities of the components. Use this total heat capacity to calculate how much you can heat up the mixture using the energy you saved in cooling down the components earlier. This will be your desired end situation.
In case there are any phase changes or other processes in between, you need to take the energy needed for those into account too but in very similar ways.
Determine whether each statement describes a solid, liquid, or gas
Answer:
1.solid
2.gas
3.liquid
4.liquid and gas
5.gas
6.liquid
7.gas
8.liquid and gas
A uniform bar has two small balls glued to its ends. The bar is 3.5 m long and has mass 2.6 kg, while the balls each have mass 0.5 kg and can be treated as point masses. Find the moment of inertia of this combination about an axis perpendicular to the bar and through one of the balls.
The moment of inertia of this combination about an axis perpendicular to the bar and through one of the balls is 5.71 kgm².
What is moment of inertia?
The moment of inertia is a measure of how resistant an object is to changes in its rotational motion.
The moment of inertia of any object is obtained from the product of mass and square of radius of the object.
Mathematically, the moment of inertia of the rod and the points masses is calculated by apply the following equation.
I = ¹/₁₂ML² + 2m(L/₂)²
where;
M is the mass of the rodm is the mass of the ballsL is the length of the rodThe moment of inertia of this combination about an axis perpendicular to the bar and through one of the balls is calculated as follows;
I = ¹/₁₂(2.6)(3.5)² + 2(0.5)(3.5/₂)²
I = 2.65 + 3.0625
I = 5.71 kgm²
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how are speed and velocity related? speed and velocity are the same. velocity specifies both the speed and the direction of a moving object. velocity relates to very small objects, such as atoms, while speed relates large objects such as cars. velocity relates to instantaneous speed, but not to average speed. velocity is the scientific and technical word for speed.
Speed and velocity related to velocity specifies both the speed and the direction of a moving object.
In contrast to velocity, which takes into account both the speed and direction of an object's movement, speed is the rate of movement along a path. Alternatively stated, velocity is a vector and speed is a scalar value.
When compared to velocity, speed is a scalar quantity.Velocity, which also affects the direction a body is moving in, indicates both the magnitude, or how fast, a body is moving, as opposed to speed, which just determines the magnitude.When comparing velocity with speed, velocity is the rate at which a distance changes.Velocities can be positive, negative, or zero, while speeds can never be zero. Speed and velocity are distinguished by this.The speed and velocities of an object can both be the same.It's possible that velocity and speed are not equal.To learn more about Speed and velocity Please click on the given link:
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A boy moves around a square path of side 15m. He completes 1 round in 40 sec. 1 Calculate the displacement of the boy at the end of 2min 20sec.
Plsss answer fast!
Answer:
Explanation:
2 min 20 sec = 140 sec .
In 40 sec one round
In 140 sec 140 / 40 round = 3.5 round .
That means the boy will be positioned at the diametrically opposite corner of the square path .
side of square path = 15 m
length of diameter = 15√2
= 21.21 m
Displacement of boy is 21.21 m .
3. According to Newton's First Law, unless acted upon by an unbalanced force, an object at rest will
Answer:
An object at rest remains at rest
Explanation:
An object at rest stays at rest and an object in motion stays in motion with the same speed