Suppose the maximum power delivered by a car's engine results in a force of 16000 N on the car by the road. In the absence of any other forces, what is the maximum acceleration a this engine can produce in 1650-kg car?
Answer:
Approximately \(9.7\; \rm m \cdot s^{-2}\).
Explanation:
Assuming that there is no other force on this vehicle, the \(16000\; \rm N\) force from the road would be the only force on this vehicle. The net force would then be equal to this \(16000\; \rm N\!\) force. The size of the net force would be \(16000\; \rm N\!\!\).
Let \(m\) denote the mass of this vehicle and let \(\Sigma F\) denote the net force on this vehicle.
By Newton's Second Law of motion, the acceleration of this vehicle would be proportional to the net force on this vehicle. In other words, the acceleration of this vehicle, \(a\), would be:
\(\begin{aligned}a &= \frac{\Sigma F}{m}\end{aligned}\).
For this vehicle, \(\Sigma F = 16000\; \rm N\) whereas \(m = 1650\; \rm kg\). The acceleration of this vehicle would be:
\(\begin{aligned}a &= \frac{16000\; \rm N}{1650\; \rm kg} \\ &= \frac{16000\; \rm kg \cdot m\cdot s^{-2}}{1650\; \rm kg}\\ &\approx 9.7 \; \rm m \cdot s^{-2}\end{aligned}\).
What is the multiplier and the liquidity trap and how do they
work?What is the multiplier and the liquidity trap and how do they
work?
The multiplier and the liquidity trap are concepts in economics that relate to the relationship between changes in aggregate demand and the overall level of economic activity.
The multiplier refers to the idea that an initial change in spending, investment, or government expenditure can have a magnified effect on the economy's output.
When there is an increase in spending, for example, households or businesses that receive the additional income will in turn spend some of it, creating a ripple effect of increased demand.
This increase in demand leads to increased production and employment, resulting in further income and spending. The multiplier effect stems from the fact that each round of spending generates additional rounds of spending, amplifying the initial impact on the economy.
On the other hand, the liquidity trap refers to a situation in which monetary policy becomes ineffective in stimulating the economy. It occurs when interest rates are extremely low, close to zero, and individuals and businesses prefer to hold on to cash rather than invest or spend.
In a liquidity trap, people are unwilling to borrow or invest because they expect further deflation or economic instability. Consequently, the central bank's attempts to stimulate the economy through lowering interest rates or increasing the money supply have limited impact since they cannot further incentivize borrowing and spending.
The liquidity trap can be problematic because it hinders the effectiveness of conventional monetary policy tools and limits the ability of the central bank to stimulate economic activity. In such situations, unconventional policies like quantitative easing or fiscal stimulus may be necessary to boost aggregate demand and overcome the liquidity trap.
Overall, the multiplier highlights the potential for a positive feedback loop in the economy, while the liquidity trap demonstrates the challenges faced when monetary policy loses its effectiveness.
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Determine the mass of a person if the gravitational force of attraction between the person and another of mass 42.90 kg is 0.0996381755 N when they are standing 95.32 m apart.
Answer:
\(3.16*10^1^1\) kg
Explanation:
According to Newton's Law of Universal Gravitation:
\(F=G\frac{m_1m_2}{r^2}\\F=0.0996381755N\\G=6.674*10^-^1^1\frac{Nm^2}{kg^2}\\m_2=42.90kg\\r=95.32m\)
Rewriting to solve for \(m_1\):
\(m_1=\frac{F(r)^2}{G(m_2)}\\m_1=\frac{(0.0996381755N)(95.32m)^2}{(6.674*10^-11\frac{Nm^2}{kg^2})(42.90kg)}\\m_1=3.16*10^1^1kg\)
I believe this is the answer based on the given values, but it is not a logical answer. Is it possible one or more of the values in the question were entered incorrectly?
How to integrate 1/ 1 + x2
The integral of 1/(1 + x²) is (1/2)ln|1 + x²| + C where C is the constant of integration.
Integration is a mathematical process of finding the antiderivative of a function. To integrate the given expression 1/(1 + x²), we will use the substitution method.
Let u = 1 + x², du/dx = 2x dx, then dx = du/2x and the integral becomes:
∫1/(1 + x²) dx = ∫1/u * (1/2x) du= (1/2)∫1/u du
The antiderivative of 1/u is ln|u| + C, where C is the constant of integration.
Therefore, the final solution of the integral is (1/2)ln|1 + x²| + C.
Let us work through the steps:
Step 1:Let u = 1 + x² and then differentiate both sides with respect to x to obtain du/dx. du/dx = 2x
Substitute 2x dx = du into the integral ∫1/(1 + x²) dx to get the integral in terms of u:∫1/u * (1/2x) du = (1/2) ∫1/u du
Step 2:Calculate the antiderivative of 1/u, which is ln|u|. Thus, the final solution is (1/2)ln|1 + x²| + C, where C is the constant of integration. The constant C will vary depending on the initial conditions of the problem.
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How can you use the position-time graphs for two in-line skaters to determine if and when one in-line skater will pass the other one?
Explanation:
Position-time graphs measure/express the position of a skater over time relative to the start or finish of the race (depends on how it is used). Note: are the skaters in line vertically or horizontally? Like is one directly behind the other or are they next to each other?
If the two skaters are in line horizontally with each other, then their position will be the same relative to the start or finish of the race. This means if one passes the other one, the position would be different for all times after they pass. On the graph, it would look like one single line at the start (as position is same) which splits into 2 (representing the new difference in position due to 1 passing the other.
If the two skaters are in line vertically, their lines on the graph will appear parallel to each other (assuming they are going same speed) because the position is changing at the same rate, one is just reaching the same point after the other. If the skater behind overtakes the one in front. The lines on the graph will cross and continue either in parallel but with the other line on top to represent the moment where their position is the same right before they pass and after, where the second skater is now in front.
Hope this helped!
convert 700kg into grams
Answer:
700,000g
Explanation:
1kg = 1000 Grams (or any kg x 1000)
Answer:
700 kilograms is equal to 700,000 grams
Explanation:
One kilogram has 1000 grams, or if you want the other way around, one gram is 1/1000th of one kilogram. If you follow this logic, we want to use the 'one kilogram has 1000 grams' "rule", so we would do some math here.
700 kg x 1000 g = ______ g
700*1000 = 700,000
700 kg = 700,000 g
Please let me know if I misunderstood and I hope this helped!
What is the mass of an apple with a potential energy of 8 Joules that is on a shelf that is 4 meters high?
A; 32kg
B; 15Kg
C;4kg
D:2kg
can a particle with constant speed be accelerating
Answer:
Yes
Explanation:
An object moving in a circle at constant speed is INDEED accelerating. It's accelerating because the direction of the velocity vector is changing.
Rate of acceleration for a 5 kg grocery cart that’s being pushed with 50 N
Rate of acceleration for a 5 kg grocery cart that’s being pushed with 50 N is 10 m/sec^2. The value of acceleration can be calculated with the help of following formula Fnet = m . a
What is the calculation of the above problem?Fnet is the net force acting on the shopping cart
m is the mass of the grocery cart
a is the acceleration of the shopping cart
So on using the formula we get
Fnet = m . a
So on putting the values we get
Fnet = 50 N
m = 5kg
a = ?
50 = 5.a
On calculating we get the value of acceleration
a = 10 m/sec^2
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The momentum of a 3000 kg truck is 6.36 x 104 kg·m/s. At what speed is the truck traveling? m/s
472
19,080
2.1
21.2
19.6
24.5
Answer:
21.2m/s
Explanation
Given data
P=6.36 x 10⁴kg·m/s.
M=3000kg
From the momentum expression
P=mv
v=p/m
Substitute
v=63600/3000
v=21.2m/s
Hence the Velocity is 21.2m/s
The speed of the truck is 21.2 m /s
Momentum is the product of the mass of the object and the velocity of the object. Therefore,
p = mv
where
m = mass
v = velocity
m = 3000 kg
p = 6.36 x 104 kg·m/s.
lets find the velocity
6.36 x 10⁴ = 3000 × v
v = 6.36 x 10⁴ / 3000
v = 21.2 m / s
The speed of the truck is 21.2 m /s
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high-mass stars have __________ lifetimes than low-mass stars.
Lifetimes of high-mass stars are shorter than those of low-mass stars.
Do stars with high masses live longer than stars with low masses?A star's ability to convert its hydrogen to helium will increase with mass.In spite of having more fuel, it turns that out high mass stars burn up that fuel considerably more rapidly than low mass stars.Hence, low mass stars live a lot longer than higher molecular stars do!
How long does a relatively low star last?Of all the sources of energy in the cosmos, low-mass planets are the ones that live the longest.Although though they outnumber all the other stars by a wide margin, they are the faintest, making them difficult to see.Some low-mass stars have a trillion-year life span.
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Astronauts brought back 500 lb of rock samples from the moon. how many kilograms did they bring back? 1 kg = 2.20 lb 227 kg 227 kg 498 kg 498 kg 500 kg 500 kg 1,100 kg
The correct option is (b) 227 kg.
The 500 lb rock samples the astronauts carried back from the moon weighed 227 kilograms.
Briefing :As with the end goal of exploring the New World, colonization, rather than just sitting back on Earth and contemplating what autonomous spacecraft report back, is the ultimate goal of going into space: to work and live there.It's one of the hardest jobs in the world to get. You are not almost certainly guaranteed to travel to space even if you are selected to be an astronaut.Many of the people selected to be "astronauts" never made it, despite the fact that hundreds of humans have visited space.The astronaut transported a 550 lb sample.
2.20lbs = 1 kilogram.
1 lbs = 1/2.20
Since, 1 lb = 0.45 kg,
500 lb almost equals 227 kg.
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A ball is dropped off the roof of a tall building. If the ball reaches the ground in 8 seconds, how tall is the building, in meters? Round to the nearest whole number (a=9.8 m/s2)
Let b be the height of the building, and y the height of the ball at time t, given by
y = b - 1/2 gt²
where g = 9.8 m/s² is the magnitude of the acceleration due to gravity.
It takes the ball 8 s to reach the ground, at which point y = 0, so that
0 = b - 1/2 (9.8 m/s²) (8 s)²
b = 1/2 (9.8 m/s²) (8 s)²
b = 313.6 m
When Magnesium and Fluorine react what type of bond is formed
A) Metallic
B) Ionic
C) Covalent
D) Diatomic
Answer:
hi your answer should be B
Explanation:
Hope this helps!
Answer:
ionic
Explanation:
two metals that bond are considered ionic bonds
!!!!!PLEASE ANSWER CORRECTLY!! I DESPERATLY NEED HELP!!!!!
Answer:
b
Explanation:
If the velocity of a moving object decreases from 60 m/s to 30 m/s, what happens to its momentum? (2 points) Group of answer choices It is reduced by half It doubles It stays the same It quadruples
Answer:
it is decreased by 1/2
Explanation:
The velocity of the moving object is reduced by half decreasing speed is also decreasing the momentum of a certain object.
Answer:
-1/2
Explanation:
what do we call the study of planets through contrast and comparison?
The study of planets through contrast and comparison is called comparative planetology.
Comparative planetology is a scientific field that involves the study of planets by comparing and contrasting their characteristics, compositions, atmospheres, geology, and other properties. By examining multiple planets within our solar system and beyond, scientists can gain insights into the formation, evolution, and diversity of planets.
Through comparative planetology, scientists can analyze similarities and differences between planets, moons, and other celestial bodies to understand the underlying processes and factors that shape their features. This field of study helps expand our knowledge of planetary systems, planetary dynamics, and the conditions necessary for the existence of life.
By examining different planets' atmospheres, surfaces, geologic features, and other properties, scientists can make connections, identify patterns, and develop theories about the formation and evolution of planets in various environments. Comparative planetology provides a broader perspective and contributes to our understanding of the universe.
The study of planets through contrast and comparison is known as comparative planetology. This field plays a crucial role in advancing our understanding of planetary systems, their formation, and their evolution, providing valuable insights into the diversity and processes at work in our universe.
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What do you think is the main advantage of the Scientific Method approach to understand the physical world and an alternative like astrology? Please explain.
The main advantage of the scientific method is that it is a systematic and objective way to acquire knowledge. The scientific method is a process for acquiring knowledge that has been used to great success in understanding the physical world. Astrology, on the other hand, is based on subjective interpretations of the positions of the stars and planets.
The scientific method is a process for acquiring knowledge that has been used to great success in understanding the physical world. It is based on the following steps:
1. **Observation:** The scientist observes a phenomenon and asks questions about it.
2. **Hypothesis:** The scientist proposes a hypothesis, or a possible explanation for the phenomenon.
3. **Experimentation:** The scientist designs experiments to test the hypothesis.
4. **Data analysis:** The scientist collects data from the experiments and analyzes it.
5. **Conclusion:** The scientist draws a conclusion about the hypothesis based on the data analysis.
The scientific method is an iterative process, meaning that the scientist may go back and forth between the different steps as needed.
Astrology, on the other hand, is a system of divination that attempts to predict future events by interpreting the positions of the stars and planets. Astrology is not based on the scientific method, and there is no evidence that it is a reliable way to predict the future.
The main advantage of the scientific method is that it is a systematic and objective way to acquire knowledge. The steps of the scientific method are designed to minimize bias and to ensure that the results of the experiments are repeatable. This makes the scientific method a reliable way to learn about the physical world.
Astrology, on the other hand, is based on subjective interpretations of the positions of the stars and planets. There is no scientific evidence to support the claims of astrology, and the results of astrological predictions are not repeatable.
In conclusion, the scientific method is a more reliable way to understand the physical world than astrology. The scientific method is based on a systematic and objective approach to acquiring knowledge, while astrology is based on subjective interpretations of the positions of the stars and planets.
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Calculate the weight of the wooden cube.
thanks i will rate you 5 star after answer is given...
Answer:
so the answer is The height of spring minus from the length of metre rule =25
When resonance occurs, there is a dramatic decrease in the
amplitude of a sound wave?
True
O False
The given statement that when resonance occurs, there is a dramatic decrease in the amplitude of a sound wave is false.
How does resonance affect the amplitude of a sound wave?Resonance happens when a sound wave's frequency coincides with an object's inherent frequency, increasing the sound wave's amplitude.
Standing waves may develop in the tube as a result of resonance, which amplifies the vibrations' amplitude. The resonant frequencies depend on how long the air column is. The resonating air column amplifies solely the natural frequencies, as opposed to the mouth or reed which produce a combination of diverse frequencies.
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PLEASE HELP I DONT GET HOW TO ANSWER...
• If we did use zero-friction machines for these purposes, how would our everyday lives change?
Answer:
the world would just slide forever
Explanation:
A frictional force exists when two objects come in contact with each other. It opposes motion, meaning if something is sliding on the floor, friction is the force that makes it eventually come to a stop. In a world without friction, the object would continue to slide forever, if not acted on by another force.
A car travels 30 m in 5 seconds. After accelerating for 3 seconds, it travels 20 m in 2 seconds. The cars acceleration is ___m/s
The magnitude of a vector can be different in different coordinate systems.a. Trueb. False
The Claim is Untrue b). In several coordinate systems, a vector's magnitude might vary.
Describe a vector :A quantity or phenomena with independent qualities for both size and direction is called a vector. The word can also refer to a quantity's mathematical or geometrical representation. Movement, lateral movement, force, electromagnetic fields, and weight are a few examples of vectors in nature.
What in science is a vector?In science, anything that has a course of action and a magnitude is referred to as a vector. They are typically represented by pointing lines, the height of which denotes the size of the vector.
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A 0.42 kg soccer ball is moving down field with a velocity of 12 m/s. A player kicks the ball so that it has a final velocity of 18 m/s down field. What is the change in the balls momentum? and find the constant force exerted by the players foot on the ball if the two are in contact for 0.020 s?
Answer:
the change in momentum is 2.52 N·s
the constant force on the ball while in contact with the players foot is 126 N
Explanation:
p=momentum
m=mass
v=change in velocity
p=(0.42)(6)
p=2.52
The change in the ball's momentum is 2.52 kgms⁻¹
The constant force exerted by the players foot on the ball is 126 N
From the question,
We are to determine the change in momentum of the ball
Change in momentum calculated by using the formula,
\(\rho = m(v-u)\)
Where \(\rho\) is the change in momentum
\(m\) is the mass
\(v\) is the final velocity
and \(u\) is the initial velocity
From the given information,
\(m = 0.42 \ kg\)
\(u = 12 \ m/s\)
\(v = 18 \ m/s\)
Therefore,
Change in the ball's momentum,
\(\rho = 0.42 (18-12)\)
\(\rho = 0.42 (6)\)
\(\rho = 2.52 \ kgms^{-1}\)
Hence, the change in the ball's momentum is 2.52 kgms⁻¹
For the force exerted by the players foot
Force is given by change in momentum with time
That is,
\(F = \frac{\rho}{t}\)
Where
\(F\) is the force
\(\rho\) is the change in momentum
and \(t\) is the time
From the given information
\(t = 0.020 \ s\)
Therefore,
\(F = \frac{2.52}{0.020}\)
\(F = 126 \ N\)
Hence, the constant force exerted by the players foot on the ball is 126 N
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Which properties describe elements that are nonmetal gases? Select all that apply.
A)
composed of an extended structure
B)
composed of individual atoms or diatomic molecules
C)
high melting point
D)
low melting point
E)
strong attractions between particles
F)
weak attractions between particles
The following are the properties describe elements that are nonmetal gases
B) composed of individual atoms or diatomic molecules
D) low melting point
F) weak attractions between particles
property B) composed of individual atoms or diatomic molecules describes the element is a nonmetal gas because the Nobel gases (eg argon . neon) are all monoatomic whereas the other nonmetal gases (eg nitrogen , oxygen )exist as diatomic
Gases have weak force of attraction between particles , this is why they exist in a gas form (solids have the strongest force of attraction between their atom , liquid also have strong force of attraction between their atom as compared to gases) . Due to which gases have low melting point .
hence , D) low melting point and F) weak attractions between particles are properties of nonmetal gases
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What is the relative intensity of a sound wave with an intensity of 0.00458 W/m²?9.66 dB-143 dB96.6 dB-14.3 dB
Given
The intensity is
\(I_=0.00458\text{ W/m}^2\)To find
The relative intensity
Explanation
The relative intensity is given by
\(P=10log(\frac{I}{I_o})\)Here,
\(I_o=10^{-12}\)Thus,
\(\begin{gathered} P=10log(\frac{0.00458}{10^{-12}}) \\ \Rightarrow P=96.6\text{ dB} \end{gathered}\)Conclusion
The relative intensity is 96.6 dB
where is the centripetal force directed on a banked curve?
Answer:
The net force on a car traveling around a curve is the centripetal force, Fc = m v2 / r, directed toward the center of the curve.
Explanation:LET ME KNOW IF ITS WRONG. HAVE A NICE DAY!!!!!!!!!!
Answer: The net force on a car traveling around a curve is the centripetal force, Fc = m v2 / r, directed toward the center of the curve. The centripetal force is directed at right angles to the motion and also along the radius towards the centre of the circular path. In order for a car to move around a circular track, something must provide a centipetal force. One source of the centripetal force is friction between the tires and the road. This means that the tires do not need to supply any friction at all to keep the car from slipping sideways. ...
Hope this helps... stay safe and have a great day!!! :D
find the volume of the solid that lies under the plane 4x+6y-2z+15=0 and above the rectangle
The solid that is located above the rectangle and beneath the plane 4x+6y-2z+15 has a volume of 51 liter.
The amount of space that a solid occupies is measured by its volume. The amount of unit cubes required to completely fill the solid serves as the measurement. There are 30 unit cubes total in the solid, hence the volume is 2 units. 3 units 30 cubic units from 5 units.
Formula for Solids Volume. Let's have a look at the volumes of all the three-dimensional solid shapes before we answer the problems based on the combination of solids. The formula for volume and surface area for a cuboid with dimensions of length (l), breadth (b), and height (h) is provided by: Volume = lbh.
\(4x+6y-2z+15=0\\2z=4x+6y+15\\z=2x+3y+ \frac{15}{2}\\\)
The volume for the given solid is,
\(\\V= \int_{-1}^{1 } \int_{-1}^{2} \left ( 2x+3y+ \frac{15}{2} \right ) dy/dx\\V= \int_{-1}^{1 } \left [ \frac{2x^2}{2}+3xy+\frac{15x}{2} \right ]_{-1}^{2}\\V= \int_{-1}^{1 } \left [ x^2+3xy+\frac{15x}{2} \right ]_{-1}^{2}\\V= \int_{-1}^{1 } \left [ 2^2+3*2y+\frac{15*2}{2}-\left ( (-1)^2+3*-1y+\frac{15*-1}{2} \right ) \right ]\\\)
\(V= \int_{-1}^{1 } \left [ 4+6y+\15-\left ( 1-3y-\frac{15}{2} \right ) \right ]\\V= \int_{-1}^{1 } \left [ 4+6y+\15- 1+3y+\frac{15}{2} \right ]\\V= \int_{-1}^{1 } \left [ 3+9y+\frac{45}{2} \right ]\\V= \int_{-1}^{1 } \left [ 9y+\frac{51}{2} \right ]\\V= \left [ \frac{9y^2}{2}+\frac{51 y}{2} \right ]_{-1}^{1 }\\V= \left [ \frac{9*1^2}{2}+\frac{51 *1}{2}-\left ( \frac{9*(-1)^2}{2}+\frac{51 *-1}{2} \right ) \right ]\\\)
\(V= \left [ \frac{9}{2}+\frac{51 }{2}-\left ( \frac{9}{2}-\frac{51}{2} \right ) \right ]\\V= \left [ \frac{9}{2}+\frac{51 }{2}- \frac{9}{2}+\frac{51}{2} \right ]\\V= \left [ \frac{51 }{2}+\frac{51}{2} \right ]\\V= 51\)
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Suppose an 18-wheel truck and trailer has a mass of 30,000 kg and is traveling with a speed of 24.5 m/s . If the driver slams on his brakes and begins to skid, what would the stopping distance be if the coefficient of kinetic friction between the truck's tires and the pavement is 0.50 ?
Answer:
it's A
Explanation:
philip glass's einstein on the beach is an example of
Philip Glass's "Einstein on the Beach" is an example of a landmark opera that defies traditional operatic conventions, characterized by its non-narrative structure, repetitive musical motifs, and abstract themes.
"Einstein on the Beach" is a groundbreaking opera composed by Philip Glass in collaboration with Robert Wilson, premiered in 1976. It is often regarded as a seminal work of the minimalist movement in music. The opera is known for its unique structure, as it does not follow a traditional narrative plot. Instead, it presents a series of interconnected scenes and images that explore abstract themes such as time, space, and perception.
One of the defining features of "Einstein on the Beach" is its repetitive musical motifs. Glass's compositional style is characterized by the use of repetitive melodic and rhythmic patterns, creating a hypnotic and trance-like effect. The opera also incorporates spoken text, choreography, and visual elements, all working together to create a multisensory experience for the audience.
By challenging traditional operatic conventions, "Einstein on the Beach" pushes the boundaries of what opera can be. Its non-narrative structure and abstract themes offer a departure from the conventional storytelling approach, encouraging the audience to engage with the work on a more intellectual and sensory level. This innovative and experimental approach has established "Einstein on the Beach" as a significant and influential work in contemporary opera.
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