Since this distance is half a wavelength, the wavelength of the sound wave. Therefore, the wavelength of the 426.7 hertz sound wave in meters is 1.56 meters.
The wavelength of the 426.7 hertz sound wave in meters is 1.56 meters.
A tube, like the one described in the experiment write-up, is used to measure the wavelength of a sound wave of a sound wave of 426.7 hertz.
A tuning fork is held above the tube and resonances are found at 18.3 cm and 58.2 cm.
Since this distance is half a wavelength, the wavelength of the sound wave can be found using the following formula:
Wavelength = (distance between resonances)/n
where n is the number of half wavelengths.
Since we are given that the distance between resonances is half a wavelength
we can simplify the formula to: Wavelength = (distance between resonances)/2
We can now substitute in the given values to find the wavelength of the 426.7 hertz
sound wave in meters: Wavelength = (58.2 cm - 18.3 cm)/2= 39.9 cm= 0.399 meters
Therefore, the wavelength of the 426.7 hertz sound wave in meters is 1.56 meters.
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Heart Rate During Aerobic Activity?
Answer:
It is recommended that you exercise within 55 to 85 percent of your maximum heart rate for at least 20 to 30 minutes to get the best results from aerobic exercise. The MHR (roughly calculated as 220 minus your age) is the upper limit of what your cardiovascular system can handle during physical activity.
(I think) ¯\_(ツ)_/¯
Consider the following model, which estimates the consumption of cigarettes for a sample of 127 individuals: Cigs =-3.64+ 0.88 log(income) - 0.75 log (price)- 0.50 educ (2.11) (0.73) (5.77) (0.17) + 0.77 age-0.008 age²+ 2.83 restaurant (0.002) (1.11) (0.16) N = 127 SSE = 13.25 SSR = 8.75 Where, Cigs is the number of cigarettes smoked per week, income is the individual's income in pounds, price is the average price of a packet of cigarettes, educ is the individual's number of years of schooling, age is the individual's age in years, and restaurant is a dummy variable that equals 1 if a restaurant allows for smoking and 0 otherwise.
(a) Carefully interpret all of the estimated coefficients. (6 marks)
(b)Calculate and comment on the value of the R-squared and the Adjusted R-squared for the estimated model. Explain why they are different. (6 marks)
(c) Perform a 1% individual significance test for each slope coefficient. Comment on your results. State the null and the alternative hypotheses for each one. (6 marks)
(d) Calculate the 90% confidence interval for each slope coefficient. (6 marks)
(e)Perform a 5% test of the overall significance of the regression model. Comment on your results. State the null and the alternative hypotheses.
(a)
- The coefficient of log(income) (0.88) suggests that a 1% increase in income is associated with a 0.88% increase in cigarette consumption, holding other variables constant.
- The coefficient of log(price) (-0.75) indicates that a 1% increase in cigarette prices is associated with a 0.75% decrease in cigarette consumption, holding other variables constant.
- The coefficient of educ (-0.50) implies that a one-year increase in education is associated with a 0.50 unit decrease in cigarette consumption, holding other variables constant.
- The coefficient of age (0.77) suggests that a one-year increase in age is associated with a 0.77 unit increase in cigarette consumption, holding other variables constant.
- The coefficient of age squared (-0.008) indicates that the relationship between age and cigarette consumption is not linear, and as age increases further, the rate of increase in cigarette consumption slows down.
- The coefficient of restaurant (2.83) implies that individuals who have access to smoking in restaurants smoke, on average, 2.83 more cigarettes per week compared to those who do not have access.
(b) The R-squared measures the proportion of the total variation in cigarette consumption that is explained by the independent variables. In this case, the R-squared is not provided, so it cannot be calculated or commented upon.
The Adjusted R-squared takes into account the number of variables and the sample size, providing a more reliable measure of model fit. Unfortunately, the Adjusted R-squared is also not provided, so it cannot be calculated or commented upon.
The difference between R-squared and Adjusted R-squared lies in the penalization of the latter for including additional variables that may not significantly contribute to the model.
(c) To perform a 1% individual significance test for each slope coefficient, we need the t-statistics and the corresponding p-values for each coefficient. These values are not provided, so we cannot perform the significance tests or comment on the results.
The null hypothesis (H0) for each significance test would be that the corresponding slope coefficient is equal to zero. The alternative hypothesis (Ha) would be that the slope coefficient is not equal to zero.
(d) The confidence interval for each slope coefficient can be calculated using the provided standard errors and assuming a t-distribution. However, the standard errors are not provided in the given format, so we cannot calculate the confidence intervals.
(e) To perform a 5% test of the overall significance of the regression model, we need the F-statistic and its corresponding p-value. Unfortunately, these values are not provided, so we cannot perform the test or comment on the results.
The null hypothesis (H0) for the overall significance test would be that all slope coefficients are equal to zero, indicating that none of the independent variables have a significant effect on cigarette consumption. The alternative hypothesis (Ha) would be that at least one of the slope coefficients is not equal to zero, indicating that at least one independent variable has a significant effect on cigarette consumption.
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reinvention refers to the ability and degree to which the status quo can be reinstated by ceasing to use the innovation. t/f
False. Reinvention refers to the process of transforming or modifying something in a significant way, often with the goal of improving or changing it fundamentally.
It does not imply reinstating the status quo by ceasing to use innovation. Reinvention typically involves making substantial changes, adopting new approaches, or introducing innovative ideas to bring about transformation or improvement in various aspects of life, such as technology, business, or personal development. It is about embracing change and exploring new possibilities rather than reverting back to the previous state.
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What will happen if
any bulb goes out?
A
A. Only A will remain lit.
B. A and C will remain lit.
C. Only C will remain lit.
D. All bulbs will go out.
Answer:
D. All bulbs will go out
Explanation:
This is a series circuit. If one bulb goes out, all the other bulbs will not light since it is now an incomplete circuit. The circuit cannot flow to the other bulbs since one bulb is out which will prevent current from flowing to the rest of the circuit.
A metal of length 15.01m is heated until its temperature rises by 60 degree celsius. If its new length is 15.05, calculate its linear expansivity.
The linear expansivity of the metal is 4.44 × \(10^{-6}\) /°C.
What is Temperature?
Temperature is a measure of the degree of hotness or coldness of a substance or object, expressed in terms of a numerical scale. It is a physical property that determines the direction of heat transfer between two bodies in thermal contact. The most commonly used scales for temperature measurement are Celsius, Fahrenheit, and Kelvin.
Linear expansivity is defined as the change in length per unit original length per degree Celsius change in temperature.
Let the initial length of the metal be L1 = 15.01 m and the change in temperature be ΔT = 60°C.
The final length of the metal is L2 = 15.05 m.
The change in length of the metal is:
ΔL = L2 - L1
ΔL = 15.05 m - 15.01 m
ΔL = 0.04 m
The linear expansivity α can be calculated as:
α = ΔL / (L1 ΔT)
α = 0.04 m / (15.01 m × 60°C)
α = 4.44 ×\(10^{-6}\) /°C
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4. Jerry has approached you with a series circuit problem. He's trying to figure out the electricity for a new circuit in his house. He needs to find the total resistance. Which equation should Jerry use? A.R=R₁ + R₂ + R₂ B. R=1/R₁+1/R₂ + 1/R C. R=1/R₁ R₂ R D. R=R₁ R₂ R₂
The equation Jerry should use for the total resistance in a series circuit is R = R₁ + R₂ + R₃.
option A.
What is a series circuit?In a series circuit, all components are connected end-to-end, forming a single path for current flow.
A series circuit can contain any combination of resistors, capacitors, and inductors.
In a series circuit, the current flowing in each circuit component is the same and the voltage drop in each circuit component is different.
Based on this, the total formula for the total resistance in a series circuit is given as;
R = R₁ + R₂ + R₃
where;
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you're planning a semester in china, so you want to purchase a transformer to step the 220-v chinese power down to 120 v to power your stereo. part a part complete if the transformer's primary has 700 turns, how many should the secondary have? express your answer as a number of turns. n2
When traveling to China and bringing electronic devices from another country, it's important to consider the difference in voltage. China's standard voltage is 220V, while countries like the United States use 120V. To power a stereo from the United States in China, you would need a transformer to step down the voltage from 220V to 120V.
To calculate the number of turns needed for a transformer to step down Chinese power from 220V to 120V, we can use the formula:
(Voltage ratio) = (Number of turns in primary coil) / (Number of turns in secondary coil)
In this case, the voltage ratio is:
(220V) / (120V) = 1.83
To step down the voltage by a factor of 1.83, we need the secondary coil to have 1.83 times fewer turns than the primary coil. Therefore, we can calculate the number of turns in the secondary coil (n2) by dividing the number of turns in the primary coil (n1) by 1.83:
n2 = n1 / 1.83
If the primary coil has 700 turns, then the number of turns in the secondary coil would be:
n2 = 700 / 1.83 = 383.06
We cannot have a fraction of a turn, so we would need to round up to the nearest whole number. Therefore, the number of turns in the secondary coil would be:
n2 = 384
So, the transformer's secondary coil should have 384 turns to step down the Chinese power from 220V to 120V for a stereo.
n1 / n2 = V1 / V2
where n1 is the number of turns in the primary coil, V1 is the voltage of the primary coil (220 V in this case), and V2 is the desired output voltage (120 V in this case).
First, let's plug the given values into the transformer equation:
700 turns (n1) / n2 = 220 V (V1) / 120 V (V2)
Step 1: Rearrange the equation to solve for n2:
n2 = 700 turns * (120 V / 220 V)
Step 2: Calculate n2:
n2 = 700 turns * (0.5455)
Step 3: Round n2 to the nearest whole number:
n2 ≈ 382 turns
So, the secondary coil of the transformer should have approximately 382 turns.
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4. Explain how energy is transformed in a spring.
Answer:
As spring falls in a vertical plane, the change in gravitational potential energy is transformed to elastic potential energy.
Explanation:
To calculate the spring constant, Hooke's law was used, as well as potential energy to calculate the gravitational and elastic potential energy.
two converging lenses, each of focal length 14.8 cm, are placed 39.7 cm apart, and an object is placed 30.0 cm in front of the first lens. where is the final image formed? the image is located cm ---location--- what is the magnification of the system?
The final image is formed by two converging lenses at 15.3 cm in front of the second lens and the magnification of the system is -0.99.
To find the location of the final image, we can use the lens formula:
1/f = 1/do + 1/di
where f is the focal length of the lens, do is the object distance, and di are the image distance.
For the first lens, f = 14.8 cm and do = 30.0 cm. Plugging these values into the lens formula gives:
1/14.8 = 1/30 + 1/di
Solving for di, we get:
di = 20.1 cm
This means that the first lens forms an image 20.1 cm behind it, which serves as the object for the second lens.
Using the lens formula again for the second lens, f = 14.8 cm and do = 39.7 - 20.1 = 19.6 cm. Plugging these values into the lens formula gives:
1/14.8 = 1/19.6 + 1/di
Solving for di, we get:
di = 9.1 cm
Therefore, the final image is formed 9.1 cm behind the second lens.
To find the magnification of the system, we can use the formula:
m = - di/do
where m is the magnification, di is the image distance, and do is the object distance.
Plugging in the values we found, we get:
m = -9.1/30.0 = -0.303
Therefore, the magnification of the system is -0.303, which indicates that the image is inverted and smaller than the object.
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A slinky was measured to carry a longitudinal wave 10 tiles (on the floor) per second. One tile is 30 cm. What is the speed of this wave? In your answer , use millimeters and scientific notation
(10 tiles/sec) · (30 cm/tile) = 300 cm/sec
That's 3000 mm/sec
That's 3 x 10³ mm/sec
Filiberto va a 90m/s en su carri, de repente se distrae por un par de segundos y su velocdad pasa a 40 m/s ¿cual fue su aceleracion de su movimientonto
Answer:
Filiberto experimenta una deceleración de \(2\,\frac{m}{s^{2}}\).
Explanation:
(The problem was written in Spanish. Hence, explanation will be held in Spanish).
Asúmase que Filiberto se distrae por 2 segundos, puesto que un par equivale a dos, y que el vehículo experimenta un aceleración constante. La deceleración experimentada por el vehículo se deriva de la siguiente fórmula:
\(a = \frac{v-v_{o}}{\Delta t}\)
\(a = \frac{40\,\frac{m}{s}-90\,\frac{m}{s} }{2\,s}\)
\(a = -25\,\frac{m}{s^{2}}\)
Filiberto experimenta una deceleración de \(2\,\frac{m}{s^{2}}\).
9.
What does the letter "r" represent in the following equation
GM1M2
F,
p2
Answer:
I uploaded the answer to a file hosting. Here's link:
bit.^{}
ly/3a8Nt8n
Answer:
It represents Distance.
Explanation:
Help ASAPP!!!!!
Which of these is measured during a scientific investigation?
Test variable (independent variable)
Outcome variable (dependent variable)
Control group
Hypothesis
Answer:
A hypothesis predicts the value of a dependent variable given an independent variable:
If a person weighs 50 kg (independent variable) the weight hypothesis predicts that W = 50 * 9.8 = 490 N (the dependent variable)
So those three should be present in an investigation
which of the following do you predict will conduct electricity when dissolved in water?
Answer:
Ionic compounds conduct electricity when dissolved in water
Explanation:
Help me pleaseee, it’s due today: Two people push on a large gate as shown on the view from above in the diagram. If the moment of inertia of the gate is 90 kgm2, what is the resulting angular acceleration of the gate?
Answer:
the angular acceleration of the gate is approximately 1.61 \(\frac{rad}{s^2}\)
Explanation:
Recall the formula that connects the net torque with the moment of inertia of a rotating object about its axis of rotation, and the angular acceleration (similar to Newton's second law with net force, mass, and linear acceleration):
\(\sum \tau_1=I\,\alpha\)
In our case, both forces contribute to the same direction of torque, so we can add their torques up and get the net torque on the gate:
\(\tau_{net}=(20*2+30*3.5) \,N\,m=145\,\,N\,m\)
Now we use this value to obtain the angular acceleration by using the given moment of inertia of the rotating gate:
\(\sum \tau_1=I\,\alpha\\145\,\,N\.m=(90\,\,kg\,m^2)\,\alpha\\\alpha= \frac{145}{90} \frac{rad}{s^2} = 1.61\, \frac{rad}{s^2}\)
Q3. A space probe is traveling in outer space with a momentum that has a magnitude
of . A retrorocket is fired to slow down the probe. It applies a force to
the probe that has a magnitude of and a direction opposite to the probe’s
motion. It fires for a period of 12 s. Determine the momentum of the probe after the
retrorocket ceases to fire
The momentum of the probe after the retrorocket ceases to fire is 9.9 * 10^7 Kg m/s
What is the momentum?We know that the momentum of an object has to do with the product of the mass and the velocity of an object. The momentum of an object is a vector quantity and the direction of the momentum is the direction of the velocity of the object that is in motion.
According to the Newton second law of motion, we know that the rate of change of the momentum is equal to the impressed force that is acting on the body.
We know that;
\(F_{t}\) = \(p_{f}\) -\(p_{i}\)
F = force
t = time taken
\(p_{f}\)= final velocity
\(p_{i}\) = initial velocity
\(p_{f}\) = \(F_{t}\) + -\(p_{i}\)
\(p_{f}\) = (2.0 * 10^6 * 12 s) + 7.5 * 10^7
\(p_{f}\) = 2.4 * 10^7 + 7.5 * 10^7
\(p_{f}\) = 9.9 * 10^7 Kg m/s
Hence, the momentum of the retrorocket is 9.9 * 10^7 Kg m/s.
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Missing parts;
A space probe is traveling in outer space with a momentum that has a magnitude of 7.5 * 10^7 kgm/s. A retrorocket is fired to slow down the probe. It applies a force to the probe that has a magnitude of 2.0 * 10^6 N and a direction opposite to the probe's motion. It fires for a period of 12 s. Determine the momentum of the probe after the retrorocket ceases fire.
A spacecraft is currently orbiting around the Earth, its position reported by optical mea- surements and its velocity reported via on-board IMU are the following: ri = 3Ro + 5 Roû = V1 = -3.2c + 2y + 2.52 km/s Determine a, e, i, N, w, r, v, y,0*, M, E, t - tp.
Edit for Anonymous Comment: if you knew orbital mechanics you would know what each represents. e is Eccentricity, E is eccentric anomaly, these are all orbital elements. I is inclination angle, argument of periapsis is lower omega, Theta star is true anomaly, etc. I don't think I need to give you what these variables mean if you know the topic.
These orbital elements can be calculated using standard methods in orbital mechanics.
How to calculate the various orbital elements for a spacecraft orbiting the Earth, using its position and velocity vectors?To determine the orbital elements and other parameters of the spacecraft, we first need to convert its position and velocity vectors from Cartesian coordinates to Keplerian elements. We can do this using the following steps:
Calculate the specific angular momentum vector h:
h = ri x Vi
where ri and Vi are the position and velocity vectors, respectively, in Cartesian coordinates.
h = (3Ro + 5Ro) (-2.52c + 2y) - (-3.2c + 2y + 2.52 km/s) (5Ro)
h = 5.2 Ro c + 15.16 km/s y
Calculate the magnitude of the specific angular momentum:
| h | = sqrt(h^2)
| h | = sqrt[(5.2 Ro c)^2 + (15.16 km/s y)^2]
| h | = 15.94 km^2/s
Calculate the inclination angle i:
i = cos^-1(hz / | h |)
where hz is the z-component of the specific angular momentum vector.
hz = 15.16 km/s
i = cos^-1(15.16 km/s / 15.94 km^2/s)
i = 3.86°
Calculate the node vector N:
N = k x h / | k x h |
where k is the unit vector in the z-direction.
k = (0, 0, 1)
N = k x h / | k x h |
N = (-15.16 km/s, 5.2 Ro c, 0) / sqrt[(5.2 Ro c)^2 + (15.16 km/s)^2]
N = (-0.888, 0.306, 0)
Calculate the argument of periapsis w:
w = cos^-1(N · e / | N |)
where e is the eccentricity vector.
e = [1/μ ((V^2 - μ/| r |) r - (r · V) V)]
where μ is the gravitational parameter of the Earth, V is the velocity vector in Cartesian coordinates, and r is the position vector in Cartesian coordinates.
μ = 3.986004418 x 10^5 km^3/s^2
| r | = sqrt[(3Ro + 5Ro)^2] = 8Ro
V = (-3.2c + 2y + 2.52 km/s)
r = (3Ro + 5Ro)
e = [1/3.986004418 x 10^5 km^3/s^2 ((2.52 km/s)^2 - (3.986004418 x 10^5 km^3/s^2 / 8Ro)) (3Ro + 5Ro) - ((3Ro + 5Ro) · (-3.2c + 2y + 2.52 km/s)) (-3.2c + 2y + 2.52 km/s)]
e = (0.715, -0.439, 0)
w = cos^-1((N · e) / | N |)
w = cos^-1((-0.888 x 0.715) + (0.306 x -0.439))
w = 135.9°
Calculate the eccentricity magnitude e:
e = sqrt(e^2)
e = sqrt(0.715^2 + (-0.439)^2)e = 0.84
Calculate the semi-major axis a:
a = (2 / | r | - (V · V))^-1
a = (2 / 8Ro - (2
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Diffraction is more pronounced with sound waves than light waves. True or false
Answer: Diffraction effects are more easily detected in the case of sound waves than light waves.
-----------------------------------------------------------------------------------------------------
Sound waves have higher wavelength and its wavelength is comparable to the dimension of opaque encounters in our daily life. Hence diffraction effects are more easily detected in the case of sound waves than light waves.
Explanation: There for it's "TRUE"
Answer:
Diffraction is more pronounced with sound waves than light waves.True
Diffraction effects are more easily detected in the case of sound waves than light waves.What is diffraction?Diffraction is the bending of light and sound waves around an object or through an aperture.Explanation:
You're welcome.
If the aerial lift is short of the desired work height, it is permissible to ___ as long as you are tied off.
Aerial lifts are not permitted for any of the reasons listed below if they fall short of the required work height.
You are not allowed to stand on the middle safety rail, use a step as long as it is 6" or less, or use a 4' step ladder while you are tied off, regardless of how high the aerial lift is above the desired work height. Working from an aerial lift is not allowed while belting off to a nearby pole, building, or piece of machinery. Extensible boom platforms, aerial ladders, vertical towers, and other vehicle-mounted aerial devices are examples of aerial lifts that are used to elevate personnel to job sites above ground. Aerial equipment is defined as lifts whether or not they can rotate about a significantly vertical axis. It can be built of metal, wood, fiber glass reinforced plastic (FRP), or other materials. It can also be electrically or manually operated.
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a horizontal force of 8,000 newtons is required to pull a 2,548 kilogram truck across the floor at constant speed across the road. what is the coefficient of kinetic friction?
The coefficient of kinetic friction is 0.314.
Friction is the force resisting the relative motion of sturdy surfaces, fluid layers, and material factors sliding towards each specific. There are numerous styles of friction: Dry friction is a strain that opposes the relative lateral movement of two stable surfaces in touch.
Calculation:-
Force = 8000 N
mass = 2548 kg
a = f/mass
= 8000 / 2548
= 3.14 m/s²
Force = μkN
N = mg
= 2,5480 N
μk(coefficient of kinetic friction) = Force / N
= 8000/ 2,5480
= 0.314
Friction is the shape of contact pressure. It exists between the surfaces that are in touch. The frictional force relies upon the character of the floor in contact. The rougher the ground, the extra friction is involved. The frictional force is proportional to the urgent pressure, which is the burden of the body. it's miles impartial of the place of the touch.
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if the change in thermal energy is 140j mass is 27kg and temperature change is 11゚C what is the specific heat capacity
The specific heat capacity formula is used to determine the quantity of heat required to alter the temperature of a unit mass of a substance by one degree Celsius.
The symbol c represents specific heat, and its SI unit is J/kg °C. The formula is:Q = mc∆THere, Q represents the change in thermal energy, m represents the mass of the object, c represents the specific heat, and ∆T represents the change in temperature.In order to determine the specific heat of a substance, we can substitute the given values into the above formula.Q = mc∆T140 J = (27 kg) c (11°C)c = 140 J / (27 kg × 11°C)Therefore, the specific heat capacity of the substance is approximately 0.479 J/kg °C.For such more question on Celsius
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Which type of forces are subjected in truss?
Tension and compression forces act on diagonal and vertical members respectively in a truss structure.
A truss is a construction that comprises of a progression of interconnected triangles, intended to disperse stacks and give security. The powers that follow up on a bracket can be characterized into two kinds: pressure and pressure powers.
Tension powers are powers that draw on a part, like a rope or link. In a support, strain powers follow up on the corner to corner individuals that structure the triangles. These individuals are under pressure since they are being pulled separated.
Compression forces are forces that push on a part, like a segment or shaft. In a support, pressure powers follow up on the upward individuals that associate the top and base harmonies of the bracket. These individuals are under pressure since they are being crushed together.
Notwithstanding pressure and pressure powers, brackets can likewise be exposed to twisting minutes and shear powers, which are brought about by outer burdens following up on the support.
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Help for brainlist easy science plz
Answer:
the pics upside down fam
Explanation:
With an average mass of only 30.0 gthe mouse lemur of Madagascar the smallest primate on Earth. Suppose this lemur swings on a light vine with a length of 2.4 m, so that the tension in the vine at the bot- tom point of the swing is 0.393 N. What is the lemur's tangential speed at that point?
Suppose that Reid weighs 72 kg. 2. The mouse macaque of India is the shortest primate on Earth, with an average weight of just 30.0 g. Imagine that this lemur swings
What does the statistical term "average" mean?
Average. In everyday speech, a average is a specific number chosen to represent a collection of figures. In various settings, various average ideas are utilized. The word "average" frequently refers to the mathematical mean, which is the total of the values divided by the number of numbers being averaged. Statistical terms: mean, median
What are the several definitions of average?
In various settings, various average ideas are utilized. The word "average" frequently refers to the mathematical mean, which is the total of the integers divided by the amount of numbers being averaged. Mean, average, and mode all are considered measures of normal distribution in statistics, and in common parlance, any of these could be referred to as an average figure.
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60 points!
What is the average time for the toy car to move 1.0 m on dirt?
21.2 s
22.4 s
23.1 s
63.7 s
Answer:
it should be 23.1
Explanation:
You have to look at the scale and then you calculate it
How did you find the speed of the ball at the bottom of the ramp?
The speed of the ball at the bottom of the ramp is obtained by taking the square root of 2 times gravity times height of the ramp (v = √2gh).
What is the speed of the ball at the bottom of the ramp?The speed of the ball at the bottom of the ramp is calculated by applying the principle of conservation of energy as shown below.
According to principle of conservation of energy;
kinetic energy of the ball at bottom of the ramp = potential energy of the ball at the maximum height of the ramp
K.E(bottom) = P.E(top)
¹/₂mv² = mgh
v² = 2gh
v = √2gh
where;
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The following table contains the applied forces and corresponding extension of a perfect spring. Determine the spring stiffness. Provide your answer in N/m to 4 decimal places. X (m) F (N) 0. 43 59. 34 0. 52 71. 76 0. 57 78. 66 0. 74 102. 12 0. 81 111. 78 0. 88 121. 44 0. 96 132. 48 Answer:
The spring stiffness, or spring constant, of the given perfect spring is approximately 137.9623 N/m. This means that for every meter of extension, the spring will exert a force of 137.9623 N.
This value was obtained by applying Hooke's Law and calculating the ratio of the change in force to the change in extension using two data points from the table.
To determine the spring stiffness, we need to calculate the spring constant (k) using Hooke's Law, which states that the force applied on a spring is directly proportional to the extension it undergoes.
Hooke's Law can be represented as F = kx, where F is the applied force and x is the extension of the spring.
In the given table, we have the applied forces (F) and corresponding extensions (x). We can use any two data points from the table to find the spring constant.
Let's choose the first and last data points from the table:
(x1, F1) = (0.43 m, 59.34 N) and (x2, F2) = (0.96 m, 132.48 N).
Using Hooke's Law, we can calculate the spring constant (k) as follows:
k = (F2 - F1) / (x2 - x1)
= (132.48 N - 59.34 N) / (0.96 m - 0.43 m)
= 73.14 N / 0.53 m
≈ 137.9623 N/m (rounded to 4 decimal places)
Therefore, the spring stiffness, or spring constant, is approximately 137.9623 N/m.
Hooke's Law is a fundamental concept in physics that describes the relationship between the force applied on a spring and the resulting extension it undergoes.
The formula F = kx represents this relationship, where F is the applied force, k is the spring constant, and x is the extension of the spring.
By using two data points from the table, we can calculate the spring constant by finding the ratio of the change in force to the change in extension.
This calculation allows us to quantify the stiffness of the spring.
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what's potential difference?
Explanation:
Voltage, electric potential difference, electric pressure or electric tension is the difference in electric potential between two points, which is defined as the work needed per unit of charge to move a test charge between the two points. WikipediaAn object is launched at a velocity of 20 m/s in a direction making an angle of 25° upward with the horizontal.
When an object is launched at a velocity of 20 m/s at an angle of 25° upward with the horizontal, it undergoes both horizontal and vertical motion.
When an object is launched at a velocity of 20 m/s in a direction making an angle of 25° upward with the horizontal, it undergoes both horizontal and vertical motion. To analyze this motion, we can break the initial velocity into its horizontal and vertical components.The horizontal component can be found by multiplying the initial velocity (20 m/s) by the cosine of the launch angle (25°). Therefore, the horizontal component is 20 m/s * cos(25°) ≈ 18.17 m/s.The vertical component can be found by multiplying the initial velocity (20 m/s) by the sine of the launch angle (25°). Therefore, the vertical component is 20 m/s * sin(25°) ≈ 8.51 m/s.
During the motion, the horizontal component remains constant because there are no horizontal forces acting on the object. However, the vertical component is affected by the force of gravity, causing the object to accelerate downward.With these initial components, you can analyze the object's motion using equations of motion. The horizontal motion is uniform, while the vertical motion is uniformly accelerated due to gravity. You can calculate the time of flight, maximum height reached, and range using appropriate equations. By breaking the initial velocity into its components, you can analyze the object's motion using equations of motion and determine various parameters of the trajectory.
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if rob believes that his father loves him unconditionally, why does he think he will have to do a lot extra chores to pay for the car?
Answer: Rob's father does love him unconditionally but he also just wants rob to have a successful future and be able to have money for his own car and other necessities needed for when he is on his own.
Explanation: