Answer:
An atom is the smallest amount of matter that undergoes chemical changes. The accepted theory today is that the atom is composed of a positively charged nucleus made up of protons and neutrons, collectively known as a nucleon, around which is a cloud of negatively charged electrons.
Different experiences have allowed us to measure the size of atoms. Considered as a sphere, the atom has a radius of about 10-10 m and the nucleus has a radius of about 10-14 m. From this it can be deduced that the nucleus is about 10,000 times smaller than the atom.
They are organized and classified based on their atomic numbers, chemical properties, and electronic charge on the periodic table. Atoms are made up of smaller parts called subatomic particles, which include protons, neutrons, and electrons.
Explanation:
:)
Answer:
Atoms are very small and are not able to see.However, you would need a microscope to see it.For example, a full stop contains more than thousands of atoms this explains that atoms are very tiny particles.Newton's first law of motion is the law of inertia
Answer:
this statement is true because I looked it up
A 24 volt battery is connected to a circuit with a 4- light bulbs that are connected in series. Resistance of each light bulb is 3 Ohms, a) What will be the current in the circuit
Answer:
Current = 2 amps
Explanation:
Remark
The voltage of the circuit is 24 volts.
The Resistance Series circuit is
Rt = B1 + B2 + B3 + B4B1 = B2 = B3 = B4 = 3 ohmsRt = 4*3 ohms = 12 ohms (each bulb has a resistance of 3 ohms each and there are four of them)Givens
E = 24 volts
R = 12 ohms
Formula
E = I * R where
E = voltageR = resistanceI = CurrentSolution
24 volts = 12 * I Divide by 12
24/12 = I
I = 2 amperes.
It takes a car 28 hours to travel 2,009 miles. What is the average speed of the car
A) 71 mph
B) 71.5 mph
C) 75 mph
D) 71.75 mph
Answer:
D 71.75
Explanation:
divide 2,009 miles by 28 hours
You are playing tennis and return a volley. Identify a force pair.
During a tennis volley, the force pair involved is the action-reaction forces.
When playing tennis and returning a volley, the force pair involved is the action and reaction forces. In the process of hitting the ball, the tennis racket exerts a force on the ball, which is the action force.
The ball, in turn, exerts an equal and opposite force on the racket, which is the reaction force.Both the racket and the ball experience the force of impact during the volley.
The force applied by the racket causes the ball to move forward, while the equal and opposite force applied by the ball pushes the racket back.
These two forces are referred to as action-reaction forces or force pairs. A force pair refers to a pair of forces that are equal in magnitude but opposite in direction.
These forces always act on different objects and occur simultaneously. In this scenario, the action force was exerted by the tennis racket while the reaction force was exerted by the ball.
Therefore, during a tennis volley, the force pair involved is the action-reaction forces.
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(ii) Electromagnetic waves transfer energy.
Give 6 examples of the transfer of energy by EM waves, 3 which are useful and 3 which are a nuisance.
Explanation:
6 examples
radio wave
infrared ray
visible light ray
ultraviolet ray
microwave
gamma ray
3 which are useful
infrared ray
radio waves
gamma ray
to learn to apply the law of conservation of energy to the analysis of harmonic oscillators. systems in simple harmonic motion, or harmonic oscillators, obey the law of conservation of energy just like all other systems do. using energy considerations, one can analyze many aspects of motion of the oscillator. such an analysis can be simplified if one assumes that mechanical energy is not dissipated. in other words,
Utilizing energy considerations, the kinetic energy is: Ek = 3/5KA².
What is Kinetic Energy?In physics, an object's kinetic energy is the energy it has as a result of its motion. It is defined as the amount of work required to accelerate a body of a given mass from rest to a certain velocity. The body retains its kinetic energy after gaining it during acceleration until its speed changes.
Kinetic Energy has the following characteristics:
Only when the velocity changes does it rise or decrease.It is more pronounced in heavier items.It has the ability to convert into different sorts of energy.It will happen regardless of the direction of motion of the moving item.It is measured in joules (J).The computation of the above result is given as follows;
The total energy is given by the expression:
E = E\(_{k}\) + E\(_{p}\)
So, the energy is conserved, the total energy expression is:
E=1/2 KA²
Meanwhile, the potential energy is:
E\(_{p}\) = 1/2K(A/2)²
The Kinetic Energy is:
E\(_{k}\) = E - E\(_{p}\)
Thus,
E\(_{k}\) = 1/2(KA)² - 1/2K(A/2)²
= 3/8KA²
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Full Question;
To learn to apply the law of conservation of energy to the analysis of harmonic oscillators. Systems in simple harmonic motion, or harmonic oscillators, obey the law of conservation of energy just like all other systems do. Using energy considerations, one can analyze many aspects of motion of the oscillator. Such an analysis can be simplified if one assumes that mechanical energy is not dissipated. In other words, E=K+U=constant, where E is the total mechanical energy of the system, K is the kinetic energy, and U is the potential energy
Which of these features is true of both solar and wind power? a. Intermittent power source that requires a backup energy source b. Produces no greenhouse gas emissions during normal operation c. Supplies a small fraction of global energy demand, but is increasing rapidly d. All of these are correc
The feature that is true of both solar and wind power is (b) Both power sources produce no greenhouse gas emissions during normal operation.
This makes them a more environmentally friendly alternative to traditional fossil fuels, which emit carbon dioxide (CO2) and other harmful gases during combustion.
However, the other options are not completely accurate. Solar and wind power can be intermittent, but this does not necessarily mean that they require a backup energy source. Energy storage technologies, such as batteries or pumped hydro storage, can be used to store excess energy generated during times of high production and release it during times of low production.
Furthermore, while solar and wind power currently supply a small fraction of global energy demand, it is important to note that their usage is increasing rapidly. In fact, renewable energy sources, including solar and wind power, are projected to be the fastest-growing energy source over the next few decades.
In conclusion, solar and wind power's most significant shared feature is their ability to operate without producing greenhouse gas emissions. While they do have other characteristics that are sometimes associated with them, these features are not always completely accurate and may not apply in every circumstance.
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Two trains sound identical horns of frequency 410 Hz. One train is stationary. The other is moving away from an observer, who heats a beat frequency of 35 Hz. How fast is the moving train going?
The speed of the moving train is approximately 33.5 m/s.
The beat frequency is given by the difference in frequency between the two horns, which is equal to the Doppler shift in frequency due to the motion of the moving train. Using the formula for the Doppler effect, we can solve for the speed of the train:
\(f_b = f_s\dfrac{(v + v_o)}{(v + v_s)}\)
where \(f_b\) is the beat frequency, \(f_s\) is the horn frequency, v is the speed of sound, \(v_o\) is the observer's speed, and \(v_s\) is the speed of the source.
We know that \(f_s\) = 410 Hz and \(f_b\) = 35 Hz. The speed of sound in air at standard temperature and pressure is approximately 343 m/s. Since the observer is stationary, \(v_o\) = 0.
Solving for \(v_s\), we get:
\(v_s = \dfrac{(f_s + f_b)}{f_s - 1} \times v\)
\(v_s\) = ((410 Hz + 35 Hz) / 410 Hz - 1) * 343 m/s
\(v_s\) = 33.5 m/s
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A solid will float in a liquid if it is less dense than the liquid, and sink if it is more dense than the liquid. If the density of seawater is 1.025 g/mL, which types of plastics would definitely float in seawater? JUSTIFY your answer.
Explanation:
Plastics with a density less than or equal to 1.025 g/mL will float in seawater, while plastics with a density greater than 1.025 g/mL will sink.
Here are some examples of plastic densities:
Polyethylene terephthalate (PET) has a density of approximately 1.38 g/mL, so it will sink in seawater.
Polypropylene (PP) has a density of approximately 0.9 g/mL, so it will float in seawater.
High-density polyethylene (HDPE) has a density of approximately 0.95 g/mL, so it will float in seawater.
Polystyrene (PS) has a density of approximately 1.05 g/mL, so it will sink in seawater.
Based on the above examples, we can see that plastics such as polypropylene and high-density polyethylene will definitely float in seawater, while others such as polyethylene terephthalate and polystyrene will definitely sink. Other types of plastics with densities close to 1.025 g/mL may float or sink depending on their exact density and the conditions of the water, such as temperature and salinity.
The balistic pendulum is an apparatus used to measure the speed of a fast-moving projectile, such as a bullet A bullet of mass my is fired into a large block of wood ot mass m^2 surpended from some light wires. The bullet embeds in the block and the entire system swings through a height, h. How can we determine the speed of the bullet from a measurement of h? Your answer should be an expression confaining just the variables m, m. h and any constants relevant to the situation
This equation relates the speed of the bullet (v) to the masses of the bullet (m) and the wood block (m₂), as well as the height (h) through which the system swings.
To determine the speed of the bullet (v), we can use the principle of conservation of mechanical energy in the system.
Initially, the system has only gravitational potential energy, which is converted into a combination of gravitational potential energy and kinetic energy after the collision. Assuming no energy is lost to other factors like friction or air resistance, we can equate the initial and final energies.
The initial energy is purely potential energy: m₂gh, where m₂ is the mass of the wood block, g is the acceleration due to gravity, and h is the height the system swings through.
The final energy is a combination of potential and kinetic energy: (m + m₂)gh + (1/2)(m + m₂)v², where m is the mass of the bullet and v is its velocity.
Equating the initial and final energies, we can solve for v:
m₂gh = (m + m₂)gh + (1/2)(m + m₂)v².
Simplifying the equation, we find:
v² = 2gh(m₂ - m) / (m + m₂).
Taking the square root of both sides, we get the expression for the speed of the bullet:
v = √[2gh(m₂ - m) / (m + m₂)].
This equation relates the speed of the bullet (v) to the masses of the bullet (m) and the wood block (m₂), as well as the height (h) through which the system swings.
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what is the voltage of a circuit with power 36 W and current 4.5 A
Answer:
8 v
Explanation:
power = watts = v i
36 = v (4.5)
v = 8 v
Radiation present in the environment but not produced by humans is called ______.
Answer:
background
Explanation:
Laboratory Worksheet
________________________________________
In this activity, you will complete a virtual experiment to identify the unknown compounds. Use the interactive on the assessment page to collect your data.
Pre-lab Questions:
1. What are the properties of ionic compounds?
2. What are the properties of covalent compounds?
3. Which type of compound is salt?
4. Which type of compound is sugar? Hypothesis
Record your hypothesis as an "if, then" statement for the rate of dissolving the compounds:
Record your hypothesis as an "if, then" statement for the boiling point of the compounds:
Variables
List the independent, dependent, controlled variables of the experiment.
Materials
(Note: this is a virtual lab, no materials are needed. The items listed here are the types of items that could be used in a similar investigation. )
• a hot plate
• a thermometer
• a scale
• a measuring spoon
• water
• beakers
Procedure
Remember this is a virtual lab. You do not need to actually perform these steps, but follow along and collect the data!
1. Measure out 100 mL of water into three beakers and label them A, B, and C. Beaker C will be the control.
2. Then measure 50 grams of unknown compound A into beaker A and stir for one minute. Measure the amount of undissolved solute and record this in Table 1.
3. Then measure 50 grams of unknown compound B into beaker B and stir for one minute. Measure the amount of undissolved solute and record this in Table 1.
4. Next, we will test the boiling point of each solution. Place each beaker onto a hot plate.
5. When the solution boils, use a thermometer to record the temperature. Record the boiling point for each solution in Table 2.
Data Table 1
Record the amount of solute left after one minute of stirring.
Beaker Amount of Solute at Start (g) Amount of Solute at End (g)
Solution with Compound A
Solution with Compound B
Plain water in Beaker C 0 (control group) 0
Data Table 2
Record the the boiling point for each solution.
Beaker Temperature at Start (ºC) Temperature at Boiling Point (ºC)
Solution with Compound A
Solution with Compound B
Plain water in Beaker C
Analysis and Conclusion
1. Which compound dissolved more easily?
2. Which compound had the lower boiling point?
3. Are the answers to 1 and 2 the same compound? What does this tell you about the strength of the bonds in this compound?
4. Which compound is the sugar?
5. Which compound is the salt?
Answer:
In this activity, you will complete a virtual experiment to identify the unknown compounds. Use the interactive on the assessment page to collect your data.
Pre-lab Questions:
1. What are the properties of ionic compounds? They form Crystals
2. What are the properties of covalent compounds?
3. Which type of compound is salt? They are usually Gasses
4. Which type of compound is sugar? disaccharides
Hypothesis
Record your hypothesis as an “if, then” statement for the rate of dissolving the compounds:
If I apply heat the compounds Should dissolve faster
Variables
List the independent, dependent, controlled variables of the experiment.
The independent variables of Ionic compounds are Usually liquid or gasses at room temperature.
Materials
(Note: this is a virtual lab, no materials are needed. The items listed here are the types of items that could be used in a similar investigation.)
• a hot plate
• a thermometer
• a scale
• a measuring spoon
• water
• beakers
Procedure
Remember this is a virtual lab. You do not need to actually perform these steps, but follow along and collect the data!
1. Measure out 100 mL of water into three beakers and label them A, B, and C. Beaker C will be the control.
√
2. Then measure 50 grams of unknown compound A into beaker A and stir for one minute. Measure the amount of undissolved solute and record this in Table 1.
3. Then measure 50 grams of unknown compound B into beaker B and stir for one minute. Measure the amount of undissolved solute and record this in Table 1.
4. Next, we will test the boiling point of each solution. Place each beaker onto a hot plate.
5. When the solution boils, use a thermometer to record the temperature. Record the boiling point for each solution in Table 2.
Data Table 1
Record the amount of solute left after one minute of stirring.
Beaker Amount of Solute at Start (g) Amount of Solute at End (g)
Solution with Compound A 50 0 g
Solution with Compound B 50 15 g
Plain water in Beaker C 0 (control group) 0
Data Table 2
Record the the boiling point for each solution.
Beaker Temperature at Start (ºC) Temperature at Boiling Point (ºC)
Solution with Compound A 23 102.8
Solution with Compound B 23 108.7
Plain water in Beaker C 23 100
Analysis and Conclusion
1. Which compound dissolved more easily?
Compound A
2. Which compound had the lower boiling point?
Control C
3. Are the answers to 1 and 2 the same compound? What does this tell you about the strength of the bonds in this compound?
4. Which compound is the sugar?
5. Which compound is the salt?
Explanation:
what is the mechanical advantage of a first class lever that has an input force of 200 N and produces and output force of 1300 N
Which term describes the quantity of energy transferred from a warmer object to a cooler object?
A. Convection
B. Heat
C. Kinetics
D. Voltage
Answer: B
Explanation:
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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shows three ropes tied together in a knot. one of your friends pulls on a rope with 3.0 units of force and another pulls on a second rope with 5.0 units of force.
According to the parallelogram rule, if two vectors are placed with the same initial point and then completed into a parallelogram, the directed diagonal that begins at the same position as the vectors equals the sum of the two individual vectors.
What is a parallelogram, exactly?A quadrilateral with opposite sides that are parallel and equal is known as a parallelogram. The interior opposite angles of it are equal. Additionally, the transverse angles on the same side must add up to 180 degrees or be complementary to one another.
What do formula and parallelogram mean?A unique variety of quadrilateral in which the opposing sides are parallel and equal is known as a parallelogram. The length of each side added together makes up a parallelogram's perimeter, which may be computed using the following formula: Perimeter is equal to 2(a + b), where a and b are the parallelogram's two sides.
What is a parallelogram's primary characteristic?In a parallelogram, the opposing sides are parallel to one another and have equal measurements. In a parallelogram, the opposing angles are equal. A parallelogram's internal angles add up to 360 degrees. A parallelogram's subsequent angles must be supplementary (180°).
What are the parallelogram theorems?There are several related theorems, such as opposite sides are congruent, opposite angles are congruent, a parallelogram's diagonals bisect one another, and rectangles are parallelograms with congruent diagonals.
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an electrically charged object can be used to attract:
An electrically charged object can be used to attract any object with an opposite charge.
This is due to the fundamental principle that opposites attract and repel in physics.
Electric charge is a fundamental property of matter that gives rise to electromagnetic interactions. An electric charge, whether positive or negative, produces an electric field that surrounds it. This field exerts a force on any other charge in its vicinity that is either attracted to or repelled from it. Electric charge is a fundamental property of matter that produces a variety of electric phenomena. When the charge is concentrated in a localized region of space, the object is electrically charged. When there is a net accumulation of charge in an object, it becomes electrically charged. An electrically charged object produces an electric field in its vicinity, which exerts a force on other charged objects. An electrically charged object can be used to attract objects with an opposite charge or repel objects with the same charge.
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What is the law of conservation of energy?
Answer:
In physics and chemistry, the law of conservation of energy states that the total energy of an isolated system remains constant; it is said to be conserved over time. ... For instance, chemical energy is converted to kinetic energy when a stick of dynamite explodes.
Explanation:
Two forces of magnitude 40N and 70N acts on an object calculate and write the resultant force acting on the object and the resultant a
direction of force when both the force act in opposite direction
A) 70N in the direction of lesser force
B) 110N,opposite direction
C) 30N,in the direction of the greater force
D) 30N in the direction of lesser force
Explanation:
Required Answer70N-40N=30N
30N in lesser forceA charge of 3.47x10-6C is located on the origin. Acharge of -4.26x10-6C is at x=3.00 m on the x-axis. Forwhat finite value(s) of x is
a) the electric field zero?
b) The electric potential zero?
a)The electric field is zero at x = 0.77 m and x = 5.61 m. The electric field due to a point charge is given by the equation:
E = k * (q / r^2)
a) To find the value(s) of x where the electric field is zero, we need to consider the contributions from both charges. The electric field due to a point charge is given by the equation:
E = k * (q / r^2)
where E is the electric field, k is the Coulomb's constant (9 x 10^9 N·m²/C²), q is the charge, and r is the distance from the charge.
At any point on the x-axis, the total electric field E_total is the vector sum of the electric fields due to each charge.
For the electric field to be zero, the magnitudes of the electric fields due to each charge must be equal. Therefore, we have:
k * (3.47x10^(-6) C) / x^2 = k * (4.26x10^(-6) C) / (3 - x)^2
Simplifying and solving for x, we get:
3.47x10^(-6) / x^2 = 4.26x10^(-6) / (3 - x)^2
Cross-multiplying and rearranging terms, we have:
(3 - x)^2 * 3.47x10^(-6) = x^2 * 4.26x10^(-6)
Expanding and simplifying further, we obtain a quadratic equation:
0 = 4.26x10^(-6) * x^2 - (3 - x)^2 * 3.47x10^(-6)
Solving this quadratic equation, we find two solutions for x:
x ≈ 0.77 m
x ≈ 5.61 m
Therefore, the electric field is zero at x = 0.77 m and x = 5.61 m.
b) Direct answer: There is no finite value of x where the electric potential is zero.
The electric potential at a point due to a point charge is given by the equation:
V = k * (q / r)
where V is the electric potential, k is the Coulomb's constant (9 x 10^9 N·m²/C²), q is the charge, and r is the distance from the charge.
To find the value(s) of x where the electric potential is zero, we need to set up the equation:
k * (3.47x10^(-6) C) / x = k * (4.26x10^(-6) C) / (3 - x)
Simplifying and solving for x, we have:
3.47x10^(-6) / x = 4.26x10^(-6) / (3 - x)
Cross-multiplying and rearranging terms, we obtain:
(3 - x) * 3.47x10^(-6) = x * 4.26x10^(-6)
Expanding and simplifying further, we have:
0 = 4.26x10^(-6) * x - 3.47x10^(-6) * (3 - x)
Simplifying this equation, we get:
0 = 0.79x10^(-6) * x + 3.47x10^(-6)
This equation does not have a finite value of x that satisfies it. Therefore, there is no finite value of x where the electric potential is zero.
a) The electric field is zero at x = 0.77 m and x = 5.
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Whatb19 ÷117= some help me with this
Answer:
0.16239316239316239316239
Explanation:
ang haba nang solve ko dito hehe
(10) A car is stopped for a traffic signal. When the light turns green, the car accelerates, increasing its speed from 0 to 6. 00 m/s in 0. 774 s. (a) What is the magnitude of the linear impulse experienced by a 70. 2 kg passenger in the car during this time? Submit Answer Tries 0/10 (b) What is the average force experienced by the passenger? 5. 44x102 N You are correct. Previous Tries Your receipt no, is 155-4422
The magnitude of the linear impulse experienced by the passenger during this time is 421.2 kg·m/s and the average force experienced by the passenger is approximately 5.44 × 10^2 N.
(a) To calculate the magnitude of the linear impulse experienced by the passenger, we can use the equation:
Impulse = mass × change in velocity
Given:
Mass of the passenger (m) = 70.2 kg
Change in velocity (Δv) = 6.00 m/s - 0 m/s = 6.00 m/s
Substituting the values into the equation, we get:
Impulse = 70.2 kg × 6.00 m/s = 421.2 kg·m/s
Therefore, the magnitude of the linear impulse experienced by the passenger during this time is 421.2 kg·m/s.
(b) To find the average force experienced by the passenger, we can use the equation:
Average force = Impulse ÷ time
Given:
Impulse (I) = 421.2 kg·m/s
Time (t) = 0.774 s
Substituting the values into the equation, we get:
Average force = 421.2 kg·m/s ÷ 0.774 s = 544.0 N (rounded to three significant figures)
Therefore, the average force experienced by the passenger is approximately 5.44 × 10^2 N.
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A photon has a frequency of 223 mhz. What is the energy of this photon?.
The energy of a photon that has a frequency of 223 MHz is 9.32 × 10^−22 J.:Energy is the ability to do work.
Every photon has an energy E that is directly proportional to its frequency f. E is equal to hf, where h is Planck's constant (6.63 × 10^−34 J s), and f is the frequency of the photon.
The formula for calculating the energy of a photon is:E = hfwhere:E = Energy of the photonh = Planck’s constant (6.626 × 10^-34 J.s)f = frequency of the photon
The frequency of a photon is 223 MHz or 223 × 10^6 Hz. Convert MHz to Hz by multiplying the value by 10^6.223 MHz × 10^6 = 223 × 10^6 HzE = hf = (6.626 × 10^-34 J.s) × (223 × 10^6 Hz)E = 1.478 × 10^-26 J
Summary: A photon that has a frequency of 223 MHz has an energy of 1.478 × 10^-26 J.
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If the same change in velocity occurs in less time does the magnitude of the corresponding average acceleration increase, decrease, or stay the same
The magnitude of the related average acceleration will increase if the same change in velocity occurs in less time.
The rate at which a body's distance changes in relation to time is referred to as its velocity. The SI unit is meter per second ( m/s).
Acceleration is the rate at which speed and direction of velocity vary over time. When something moves faster or slower, it is considered to be accelerating. Motion on a circle accelerates even while the speed is constant because the direction is always changing.
Acceleration can be defined as the time rate of change in velocity
a = Δv / t
Now as t is in the denominator.
The smaller value of time will result in greater acceleration values with constant velocity change.
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Explain why filing cabinets are
designed so that only one draw
can be pulled out at a time.
Answer:
Cabinets are made to open one at a time so that there's not much of space taken up when all the drawers are open. Hope this helps.
solve: A car travels 2 km North , 10 km East, then 3 km West. pythagorean theorem
________b_____ 7 km east
|
| 2km north.
|a
|
°
pythagorean theorem : ✓a² + b² = c²
c² = a² + b² = 4 + 49 = 53
c = ✓53 km
displacement = c = ✓53 km
distance = 10 + 3 + 2 = 15 km
How do i get the o's 7x+69
The Complete Question:
How do I get one solution of 7x + 69 = 1 ?
Value of x in 7x + 69 = 1 is ( - 9.71 ).
Since the degree of variable is 1, the equation will have only one solution.
The degree of variable is defined at the value of power of the variable.
Using Algebra Equation,
= 7x + 69 = 1
= 7x = 1 - 69
= 7x = ( - 68)
= x = ( - 68) / 7
= x = ( - 9.71 )
Thus, the value of x in 7x + 69 = 1 is ( - 9.71 ) and this is the only solution to single degree algebraic equation.
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help me please!!!!!..............
Answer:
The car took 3 hours to travel 180 miles
Explanation:
Constant Speed Motion
An object travels at constant speed if the ratio of the distance traveled by the time taken is constant.
Expressed in a simple equation, we have:
\(\displaystyle v=\frac{d}{t}\)
Where
v = Speed of the object
d = Distance traveled
t = Time taken to travel d.
From the equation above, we can solve for t:
\(\displaystyle t=\frac{d}{v}\)
The car travels at v=60 mi/h for a distance of d=180 miles. The time taken is:
\(\displaystyle t=\frac{180\ mi}{60\ mi/h}\)
t = 3 hours
The car took 3 hours to travel 180 miles
A sprinter starting from rest on a straight, level track is able to achieve a speed of 12 m/s in 6.0 s. What is the sprinter's average acceleration? Answer in m/s^2 (meters per second squared)
Given that a sprinter starting from rest on a straight, level track is able to achieve a speed of 12 m/s in 6.0 s. We are supposed to find the sprinter's average acceleration in m/s^2 (meters per second squared).
Average acceleration is defined as the rate at which an object changes its velocity. It is equal to the change in velocity divided by the time taken. Average acceleration = Change in velocity ÷ Time taken
Here, the change in velocity is equal to the final velocity minus the initial velocity. The initial velocity is zero because the sprinter started from rest.
Final velocity, v = 12 m/s
Time taken, t = 6.0 s
Change in velocity = Final velocity - Initial velocity
= v - u = 12 - 0 = 12 m/s
Average acceleration = Change in velocity ÷ Time taken
= 12 ÷ 6= 2 m/s^2
Therefore, the sprinter's average acceleration is 2 m/s^2 (meters per second squared).
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