Answer:
v = 20.31 m/s
Explanation:
p = mv -> v = p/m = 32,500 kg*m/s / 1,600 kg = 20.31 m/s
A researcher warts to test the hypothesis that the awerage number of mles that a 2010 Honda Clvic can drive after its gas meter reads as empty is greater than 30 . She collects data from a sample of 50 cars and finds a sarmole mean of 37 . She assumes the standart deviation is 8 based on the literature about car manufacturing- What is the test statistic (Z-score)? 1.99 2.86 b.19 4.55
The test statistic (Z-score) is approximately 4.95.
To calculate the test statistic (Z-score) for this hypothesis test, we can use the formula:
Z = (sample mean - hypothesized population mean) / (standard deviation / sqrt(sample size))
Sample mean (X-bar) = 37
Hypothesized population mean (μ) = 30
Standard deviation (σ) = 8
Sample size (n) = 50
Substituting these values into the formula, we get:
Z = (37 - 30) / (8 / sqrt(50))
Z = 7 / (8 / 7.071)
Z = 7 / 1.414
Z = 4.95 (rounded to two decimal places)
A statistical hypothesis test is a technique for determining if the available data are sufficient to support a certain hypothesis. We can make probabilistic claims regarding population parameters using hypothesis testing.
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2 QUESTIONS!! PLEASE HELP QUICK
1. true or false: Balanced forces acting on an object result in constant velocity
2. If one of the cars starts and ends at the same point in the race (making a loop around the track), what is the car's displacement?
0
1
2
7.5
Answer:
1. True 2.0
Explanation:
1. When balanced forces are acting on an object, they have a constant velocity, meaning that the velocity remains the same.
2. When an object begins at a starting point and returns back to that same starting point, its displacement would be 0.
I'm pretty confident in these answers, however, you must have studied this more than me, so let me know if you have any questions or concerns at all, I'll be glad to help. :)
An object has a force of 29.43 N acting on it. Its acceleration is 3.5 m/s2. What is the mass of this object?
Answer:
The mass of the object is 8.41 Kg.
Explanation:
Mechanical Force
The second Newton's law states that the net force exerted by an external agent on an object of mass m is:
F = m.a
Where a is the acceleration of the object. The SI unit for the force is the Newton: \(1\ Nw = 1~Kg.m/s^2\)
We are given the net force of F=29.43 N acting on an object and producing an acceleration of a=3.5~m/s^2.
To calculate the mass of the object, we solve the above equation for m:
\(\displaystyle m=\frac{F}{a}\)
\(\displaystyle m=\frac{29.43}{3.5}\)
Calculating:
m = 8.41 Kg
The mass of the object is 8.41 Kg.
A paleontologist estimates that when a particular rock formed, it contained 12 mg of the radioactive isotope potassium-40. The rock now contains 3 mg of potassium-40. The half-life of potassium-40 is 1.3 billion years. About how old is the rock?
Answer:
2.6 billion yrs old
Explanation:
3 = 12 (1/2)^n n=2 half lives
2 * 1.3 bln = 2.6 bln
Finding the charge: Two spheres 6.0 units apart, attract each other with a force of 3 x 10 9 N. Determine them magnitude of the charge on one sphere if the other sphere has a charge of 9 E-8.
Find the critical angle for flint glass (index of refraction: 1.65) surrounded by water. Answer in units of ◦.
The critical angle for flint glass with an index of refraction surrounded by water is 41.8°.
How to find critical angle?The critical angle is the angle of incidence in the first medium (flint glass) at which all of the light is refracted into the second medium (water).
The formula for the critical angle is:
sin(c) = n₁/n₂
where:
c = critical angle
n₁ = index of refraction of the first medium
n₂ = index of refraction of the second medium
In this case:
n₁ = 1.65
n₂ = 1.33
Substituting these values into the formula:
sin(c) = 1.65/1.33
c = sin⁻¹(1.65/1.33)
c = 41.8°
Therefore, the critical angle for flint glass surrounded by water is 41.8°.
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A machine produces a larger force than you exert to operate the machine. How does this input distance of the machine compare to its output distance?
Answer:
Because the output force is greater than the input force, the input distance must be greater than the output distance.
Explanation:
9.5 m
7.5 m
13 m
Trapezoids
The area of the trapezoid shown in the question is 110.5 m².
What is area?Area is the region bounded by a plane shape.
To calculate the area of the trapezoid, we use the formula below
Formula:
A = h(a+b)/2....................... Equation 1Where:
A = Area of the trapezoidh = Height of the trapezoida,b = Parallel sides of the trapezoidFrom the question,
Given:
h = 13 ma = 7.5 mb = 9.5 mSubstitute these values into equation 1
A = 13(7.5+9.5)/2A = 13(17)/2A = 110.5 m²Learn more about area here: https://brainly.com/question/25092270
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The following acceleration vs time plots show
data gathered from an automobile fitted with
an accelerometer. In each case the driver ac
celerated to cruising speed and then slammed
on the brakes. In one case the car is equipped
with an antilock braking system (ABS), while
in the other the car is not. ABS tends to
prevent skidding and did just that in this ex
periment, allowing a more rapid deceleration.
The data set that is most likely from the car equipped with ABS is :
The First ( upper ) plotAlthough the plots related to your question is missing attached below is the missing data.
The First plot ( acceleration vs time ) plot is the data that represents the application of brakes in a car fitted with ABS ( antilock braking system ) because of the absence of skidding effect between 6.5 and 9 seconds in the graph.
The skidding effect is present in the second plot around the same time because the car is not fitted with ABS
Hence we can conclude that the graph that shows the car fitted with ABS is the first plot .
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Can be Doppler shifted, reflected, refracted,
diffracted, and can undergo constructive and
destructive interference.
A wave experiences reflection, refraction, Doppler effect, diffraction, and it can undergo both constructive and destructive interference.
A wave can be defined as a disturbance in a medium that progressively transports energy from its source to another location, without transporting matter.
In Physics, there are two main (2) types of wave and these are;
Mechanical waves: an example is sound wave, which requires a medium for its propagation.Electromagnetic waves: an example is light wave, which doesn't require a medium for its propagation and can travel through a vacuum or an empty space.Basically, some of the phenomenon and properties associated with waves include the following:
I. Doppler shift (Doppler effect).
II. Reflection.
III. Refraction.
IV. Diffraction.
V. Constructive interference.
VI. Destructive interference.
In conclusion, all waveform can be Doppler shifted, reflected, refracted, diffracted, and can undergo constructive and destructive interference.
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can a body have zero velocity and finite acceleration?Explain
Answer:
Kinda? Depends what the question is fully asking
Explanation:
Acceleration is a change in velocity. So I guess if the velocity of something is -2 m/s and its positively accelerating at a value of +1 m/s, then that means every second its velocity changes by +1m/s.
So that -2 m/s thing after one second will be going -1 m/s.
After another second it'll be going 0 m/s.
After another itll be going +1 m/s and so on.
So at one point for a brief moment, it can have an acceleration but be at 0 m/s velocity.
Help thank you...............
Answer:
do explain what u need help with?
In every energy transfer and transformation, some energy is transformed into _____ ______
In every energy transfer and transformation, some energy is transformed into _____ ______
Answer:
Thermal Energy
If it takes 35J to lift up an object to some height, then how much gravitational potential energy will that object have?
The table below describes some processes in which food is changed as it travels through the digestive system.
Which of the processes describe only physical changes in the food particles?
Processes 1, 2, 3, and 4
Processes 1, 3, and 6
Processes 2, 5, and 6
Processes 1, 3, and 4
Answer:
processes 1,3, and 4
Explanation:
i think
Teeth tear the food, the tongue reforms the food, and the stomach muscles break the food into small pieces are physical changes. Therefore, option (4) is correct.
What is a physical change?A physical change can take place when the identity of the matter does not but some of the characteristics of the matter change. Physical changes of matter are categorized as reversible and irreversible in nature. For example, the freezing of water is a reversible physical change since the ice cube can melt again.
Physical change can be described as a kind of change where only the physical properties of substances such as solubility, color, odor, etc. can change. During physical changes, no chemical bonds are formed or broken between atoms.
The chemical nature and chemical composition of the matter remain unchanged during a physical change.
In the digestive system, the breaking of food by teeth, tongue, and stomach muscles is a physical change. The food mixed with acids and broken by enzymes is a chemical change.
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hen it is used to measure an unknown magnetic field, the hall voltage is 0.340 µv. what is the magnitude of the unknown field?
To determine the magnitude of the unknown magnetic field, we need additional information such as the Hall coefficient (R_H) or the current (I) flowing through the material. The Hall voltage (V_H) alone is not sufficient to calculate the magnetic field.
The relationship between the Hall voltage, magnetic field, current, and Hall coefficient is given by the equation:
V_H = (R_H * B * I) / t
Where:
V_H is the Hall voltage,
R_H is the Hall coefficient,
B is the magnitude of the magnetic field,
I is the current flowing through the material, and
t is the thickness of the material.
Without knowing the values of R_H, I, or t, it is not possible to directly determine the magnitude of the unknown magnetic field using only the given Hall voltage of 0.340 µV.
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A planet of constant mass orbits the sun in an elliptical orbit. Neglecting any friction effects, what happens to the planet's rotational kinetic energy about the sun's center?
A) It decreases continually.
B) It increases continually.
C) It remains constant.
D) It increases when the planet approaches the sun, and decreases when it moves farther away.
E) It decreases when the planet approaches the sun, and increases when it moves farther away.
The correct answer to the question is option D (It increases when the planet approaches the sun, and decreases when it moves farther away).
Rotational kinetic energy (K) of an object is given by:
K = 1/2 Iω²
where, I = Moment of inertiaω = Angular velocity of the object.
A planet orbits the Sun in an elliptical orbit. The gravitational force acting between the Sun and the planet is known as centripetal force. This force is responsible for keeping the planet in a circular orbit around the Sun. Neglecting frictional effects, the total mechanical energy of the planet in an elliptical orbit remains constant.
However, the kinetic energy (K) and potential energy (U) vary with distance.
Let's say that when the planet is closest to the sun, its distance is rmin. Similarly, when the planet is farthest away from the Sun, its distance is rmax. At the closest distance to the Sun (r = rmin), the kinetic energy of the planet is minimum. This is because the planet moves the slowest at this point. When the planet moves away from the Sun, it moves faster and its kinetic energy increases.
The kinetic energy is maximum when the planet is farthest away from the Sun (r = rmax). As the planet continues to move away from the Sun, its speed decreases and so does its kinetic energy.
Therefore, the kinetic energy of the planet increases when the planet approaches the Sun and decreases when it moves farther away from the Sun.
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What is the major difference between a bimetallic stemmed thermometer and a thermistor ?
The major difference between a bimetallic stemmed thermometer and a thermistor is the principle of temperature measurement they utilize.
A bimetallic stemmed thermometer consists of two different metals bonded together. These metals have different coefficients of thermal expansion, causing the strip to bend when exposed to temperature changes. The degree of bending is proportional to the temperature, allowing the measurement of temperature based on the mechanical deformation of the bimetallic strip.
On the other hand, a thermistor is a type of temperature sensor that relies on the change in electrical resistance with temperature. Thermistors are typically made of semiconductor materials that exhibit a significant change in resistance as the temperature varies. The resistance of a thermistor decreases as the temperature increases, and vice versa. This change in resistance is used to measure and indicate the temperature.
In summary, while a bimetallic stemmed thermometer operates based on the mechanical deformation of a bimetallic strip, a thermistor measures temperature by monitoring the change in electrical resistance. Each type of thermometer has its advantages and applications based on the specific temperature range, accuracy requirements, and sensitivity needed in various contexts.
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a man with mass 81 kg lies on the floor. what is the normal force on the man?
Answer:
Forces come in pairs, so the force of gravity (9.8 N) with the mans weight (794N) on the earth is counteracted with the normal force ( the force of the earth back on the man) which is the same
Explanation:
Forces are available in pairs, so the force of gravity (nine.8 N) with the man's weight (794N) on the planet is counteracted with the everyday force ( the pressure of the earth again on the man) that's identical.
What is the gravitational force?Gravitational force is a pressure that draws any items with mass. We name the gravitational force appealing as it constantly attempts to tug loads collectively, it never pushes them apart. In reality, every item, together with you, is pulling on each other objects inside the complete universe.
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A ray of light is incident on a right angled prism of refractive index 1,5 , calculate the angle of refraction of the ray within the prism
The angle of refraction of the ray within the prism is 1.3
What is angle of refraction?The angle of refraction is described as the angle between a refracted ray and the normal drawn at the point of incidence to the interface at which refraction occurs.
Given, μ=refractive index of liquid.
The angle of incidence, i = 60 °
internal reflection , angle of refraction r = 90 °
Now,
sinr/ sini = μ / μ1
sin60° = μ/ 1.5
μ= √3 / 2 x 1.5
μ=1.3
in conclusion, the angle of refraction is the measurable quantity that indicates the amount of refraction taking place at any boundary.
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Complete question:
ACB is a right-angled glass prism with refractive index 1.5. Angle A, B, C are 60
∘
,30
∘
and 90
∘
respectively. A thin layer of liquid is on the AB. For a ray of light which is incident normally on AC to ;be totally reflected at AB, the refractive index of the liquid on AB should be
A force of 5 N accelerates an object. The objects mass is 50 G. What is the acceleration of the object? (Formula: F=ma)
Answer:
100 m/s^2
Explanation:
F=ma
50 g = 0.05 kg
5 = 0.05a
a=100m/s^2
Answer:
100MS
Explanation:
I did the test and got 100%
Imagine using brainly LOL COULDNT BE ME XD
Answer:
LOL! couldnt be me either bestieeeee
Answer:
-_-
Explanation:
i dont know What was XD??
A uniform electric field of magnitude 47.6N/C is parallel to the x axis. A circular loop of radius 17.7cm is centered at the origin with the normal to the loop pointing 67.9∘ above the x axis.
Part (a) Calculate the electric flux in, newton squared meters per coulomb, through the loop.
Φ = N⋅m2/C
Part (b) To what angle, in degrees from the positive x axis, should the normal of the loop be rotated so that the flux through the loop becomes 0.304N⋅m2/C?
θ′ =∘
The electric flux that flows through the loop is 4.27 Nm²/C, and the loop's normal ought to be rotated by about 39.5 degrees.
Flux electric: Which is it?Electric flux is a characteristic of an electric field and refers to the number of electric field lines that cross a specific area. Electric field lines, according to this theory, begin with positive electric charges and end with negative electric charges.
Part a: The following formula must be used to determine the electric flux through the loop:
= E A cos() Since the electric field is parallel to the x-axis and the loop is circular, the area of the loop can be calculated as follows:
By substituting the given values for A = r², we obtain:
A = (0.177m)² = 0.0985 m² = 67.9° = 1.184 radians = (47.6 N/C) (0.0985 m²) cos(1.184) 4.27 Nm²/C Part (b) In order to determine the angle at which the flux through the loop becomes 0.304 Nm²/C, we can rewrite the equation for electric flux to account for:
= cos(-1)(/(EA))) By substituting the values provided, we obtain:
= cos(-1)(0.304 Nm²/C / (47.6 N/C 0.0985 m²)) = 39.5°; consequently, the loop's normal should be rotated by approximately 39.5°.
What does electric flux mean?electric flux is a property of an electric field that can be described as the number of electric lines of force—also known as electric field lines—that cross a specific area. Electric field lines are thought to start with positive electric charges and end with negative electric charges.
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que 2. Why do we keep frequency constant instead of keeping vibrating length constam second law of vibrating string?
Answer:
The second law of a vibrating string states that for a transverse vibration in a stretched string, the frequency is directly proportional to the square root of the string's tension, when the vibrating string's mass per unit length and the vibrating length are kept constant
The law can be expressed mathematically as follows;
\(f = \dfrac{1}{2\cdot l} \cdot \sqrt{\dfrac{T}{m} }\)
The second law of the vibrating string can be verified directly, however, the third law of the vibrating string states that frequency is inversely proportional to the square root of the mass per unit length cannot be directly verified due to the lack of continuous variation in both the frequency, 'f', and the mass, 'm', simultaneously
Therefore, the law is verified indirectly, by rearranging the above equation as follows;
\(m = \dfrac{1}{ l^2} \cdot \dfrac{T}{4\cdot f^2} }\)
From which it can be shown that the following relation holds with the limits of error in the experiment
m₁·l₁² = m₂·l₂² = m₃·l₃² = m₄·l₄² = m₅·l₅²
Explanation:
You are in an airplane circling an airport at a speed of 600 km/hour on a circular path of radius 3 km. A stewardess accidentally drops a cup , of mass .1 kg, on the floor. She releases it from rest at a perpendicular distance of 1.5 m from the floor. (That is to say, the shortest distance from the cup to a spot on the floor is 1.5 m.)
a) Show that the cup hits the closest point on the floor when it falls to good approximation.
b) What is its speed, relative to the airplane, when it hits the floor? (That is what is the magnitude of the velocity of the cup, measured in the reference frame of the airplane?) Show that it is somewhat higher than it would be if the cup dropped the same distance in an inertial reference frame.
Answer:
a) (0.0004·\(\mathbf{\hat i}\) - 1.55·\(\mathbf{\hat j}\)) m
b) 0.31 km/h·\(\mathbf{\hat i}\) + 0.00008 km/h·\(\mathbf{\hat j}\)
Explanation:
The given parameters are;
The circular motion of the airplane = 600 km/hour
The radius of the circular path = 3 km
The time it takes the cup to reach the floor of the airplane is given as follows;
s = u·t + 1/2·g·t²
1.5 = 1/2 × 9.81 × t²
t² = 1.5/(1/2 × 9.81)
t = √(1.5/(1/2 × 9.81)) ≈ 0.553 s
The location of the plane in 0.533 s is 600 km/hour × 0.533 s ≈ 83.83 meters
The angular velocity, ω = v/r = 600 km/hour/3 km = 200°/hour
Therefore, the angle covered in 0.533 s is 0.533 s × 200°/hour ≈ 0.0296°
tan(0.0296)*3000 ≈ 1.55 m vertical
3000 - cos(0.0296)*3000 ≈ 0.0004 m horizontal
The location of the cup relative to the plane will be
0 - (-0.0004·i + 1.55·j) = 0.0004·i - 1.55·j m
b) The speed of the cup relative to the plane when it hits the floor is given by the
The speed of the plane = 600 km/hour × cos(90 - 0.0296)j + 600 km/hour × sin(90 - 0.0296)j = -0.31 km/hour·i + 599.99 km/hour·j
The speed of the cup = 600 km/hour·j
The relative speed = 600 km/hour·j - ( -0.31 km/hour·i + 599.99 km/hour·j) = 0.31 km/hour·i + 0.00008 km/hour·j
The relative speed of the cup to the plane = 0.31 km/h·i + 0.00008 km/h·j
Therefore, given that there will be no relative speed in an inertia frame, the speed of the cup relative to the plane will be higher than when dropped in an inertia frame
Which best contrasts Newton's and Einstein's ideas?
Newton believed that mass tells objects how to move. Einstein believed that the curvature of space-time tells force how to
move objects.
Newton believed that force tells mass how to move. Einstein believed that the curvature of space-time tells velocity how to
change.
Newton believed that distance tells gravity how much force to exert. Einstein believed that distance tells space-time how to
curve.
Newton believed that mass tells gravity how much force to exert. Einstein believed that mass tells space-time how to curve.
Answer:
Newton believed that mass tells gravity how much force to exert. Einstein believed that mass tells space-time how to curve.
Explanation:
Isaac Newton believed that bodies on earth had a force of gravity pulling them down as a result of their masses.
Albert Einstein believed that the bodies were not pulled down but were moving around in a circular sphere/manner.
This confirms Newton believing that mass tells gravity how much force to exert and Einstein believing that mass tells space-time how to curve.
Answer:
first one is for the assignment second is for the quiz
Explanation:
Assignment - C.
Quiz - D.
Where is the deepest cave in the world? How far down is it located?
i need help asap please help fast
Answer:
Geology Notes
1 Veryovkina Cave 2212[1] 13.5 km (8.4 mi)[1] Abkhazia / Georgia 43°23′52″N 40°21′37″E.
Part E Adjust the temperature at 5900 K. What is the color of a star at this temperature?
The color of the star at 5900K is close to the color of the sun, that is yellow. So the color of the star at 5900K will be yellow.
The color of light emitted by a hypothetical opaque, non-reflective body at a specific temperature expressed in kelvins is known as color temperature. Regardless of the temperature of other light sources, the color of their light is classified using the color temperature scale.
One aspect of visible light is color temperature. Lower color temperatures (2700–3000 K) are referred to as "warm colors," while color temperatures over 5000 K are referred to as "cool colors" (bluish) (yellowish).
The Sun closely resembles a radiator with a black body. The total radiative power per square unit determines the effective temperature, which is approximately 5780 K. Over the atmosphere, sunlight has a color temperature of approximately 5900 K.
Therefore, the star with a temperature around 5900K will have a color similar to that of the sun which is yellow.
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a 12.0-g bullet is fired into a 280-g block of wood at rest on a horizontal surface. after impact, the block slides 9.00 m before coming to rest. if the coefficient of friction between the block and the surface is 0.370, what is the speed of the bullet before impact?
According to the given statement 197.33 is the speed of the bullet before impact.
What is coefficient of friction example?The materials being used have an impact on the coefficient of friction. For instance, rubber on asphalt has a high coefficient of friction, which prevents the materials from sliding past one another as readily as ice on steel, which has a low coefficient of friction.
Briefing:\(W_f=\frac{1}{2} m v_f^2-\frac{1}{2} m v_i^2\)
\(-\mu m g d=\frac{1}{2} m\left(v_f^2-v_i^2\right)\)
-0.370(9.81)(9.00) = 1/2(0 -\(v_i^2\) )
-32.66 = 1/2v²
v² = 65.62
v = √65.62
v = 8.11
Now by momentum conservation we have
m\(_1\)v\(_1\) = (m\(_1\) + m\(_2\))v
12v\(_1\) = (280 + 12)8.11
v\(_1\) = 197.33
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a wheel of diameter 4.0 cm has a 3.0 m cord wrapped around its periphery. starting from rest, the wheel is given a constant angular acceleration of 2.0 rad/s2. the cord will unwind in
It takes approximately 1.77 seconds for the cord to completely unwind from the wheel.
The angular acceleration of the wheel is given as 2 rad/s^2. We can use the kinematic equation for angular motion to determine the time it takes for the wheel to complete one revolution, which is the time it takes for the cord to unwind once from the wheel:
\(\theta = 2 * \pi\\\omega_i = 0\\\alpha = 2 rad/s^2\\\)
t = ?
\(\theta = \omega_i * t + (1/2) * \alpha * t^2\\\)
Solving for t:
\(t = \sqrt{(2 * \theta / \alpha)}\\t = \sqrt{(2 * \pi / 2 rad/s^2)}\\t = \sqrt{(\pi)\\\)
t = 1.77 s (approx)
The rate at which the angular velocity of an item varies over time is known as its angular acceleration. In other words, it measures how quickly an object is changing its speed and/or direction of rotation. Angular acceleration is expressed in units of radians per second squared (rad/s²) or degrees per second squared (deg/s²).
When an object rotates, it experiences a torque that causes its angular acceleration. The amount of torque required to produce a given angular acceleration depends on the object's moment of inertia, which is a measure of how resistant an object is to changes in its rotation. Angular acceleration plays an important role in many physical systems, such as the motion of planets, the spinning of gyroscopes, and the movement of vehicles around corners.
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