find the work required to move an object in the force field f=x,2 along the straight line from a(0,0) to b(4,3). check to see whether the force is conservative.
Answers
The work required to move an object in the force field f=x, is 17 J.
To find the work done, we need to integrate the dot product of the force and the displacement along the path from point A to point B.
Let's first check if the force field is conservative by checking if it satisfies the curl test:
∇ x F = (∂Fy/∂x - ∂Fx/∂y) = (0 - 1) = -1
Since the curl is not zero, the force field is not conservative.
Now, let's find the work done using line integral:
W = ∫AB F · dr
where F is the force field, dr is the infinitesimal displacement vector, and the integral is evaluated along the straight line path from A to B.
Parametrizing the line from A to B, we have:
x = 4t, y = 3t, 0 ≤ t ≤ 1
dx/dt = 4, dy/dt = 3
dr = dx i + dy j = 4i + 3j
Substituting the force field F = xi + 2yj, we get:
F · dr = (4x + 6y) dt = (16t + 18t) dt = 34t dt
Therefore, the work done is:
W = ∫AB F · dr = ∫0^1 34t dt = 17 J
Thus, the work required to move the object along the straight line from A to B is 17 J.
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Related Questions
An electrical circuit is a portable device that converts chemical energy into electrical energy
True or false
Answers
Answer:
false a curciut is just a loop of electricity goes in and negative comes out when using a battery the negative goes in and the goes out making a battery have two sides to a uircute.
hope this helps!
Explanation:
Two resistors, R1 = 25.0 ohms and
R2 = 64.0 ohms, are connected in
parallel. R1 has a 0.200 A current
flowing through it. What is the current
through R2?
Domomhor resistors in norollal
Answers
Answer:
The current through R2 is 0.078125 amperes.
Explanation:
Ohm's law is the relationship between electrical conductors and their resistance, which establishes that the current that passes through the conductors is proportional to the voltage applied to them.
Ohm's Law relates the magnitudes of voltage, resistance, and intensity as follows:
V=I*R
where V is the electric potential in volts, I is the current in amperes, and R is the resistance in ohms.
R1 has a 0.200 amperes current flowing through it and a resistante of 25 ohms.
So:
V=0.200 amperes* 25 ohms
Solving:
V=5 volts
Now, for resistance R2 you know the value of the voltage (5 volts) and the value of its resistance R2 = 64 ohms. So:
5 volts= I* 64 ohms
Solving:
\(I=\frac{5 volts}{64 ohms}\)
I= 0.078125 amperes
The current through R2 is 0.078125 amperes.
Answer:
the current through R₂ is 0.078 A
Explanation:
Given;
resistance of the first resistor, r₁ = 25 ohms
resistance of the second resistor, r₂ = 64 ohms
current through the first resistor, I₁ = 0.2 A
The voltage passing through each resistor is constant since they are connected parallel to each other.
V = I₁R₁ = I₂R₂
\(I_2 = \frac{I_1R_1}{R_2} \\\\I_2 = \frac{0.2 \times 25}{64} \\\\I_2 = 0.078 \ A\)
Therefore, the current through R₂ is 0.078 A
what is the current amplitude i in the series circuit shown if r=300 ω, l=60 mh, c=0.50 µf, v=50 v, and ω=10,000 rad/s? a. 0.63 a b. 10 a c. 0.10 a d. 100 a e. 0.50 a
Answers
The current amplitude i in the series is 0.0765 A.
The current amplitude i in a series circuit is given by the formula:
i = V/Z
where V is the voltage amplitude, and Z is the impedance of the circuit, which is given by:
Z = R + j(Xl - Xc)
where R is the resistance, Xl is the inductive reactance, and Xc is the capacitive reactance. The values of these parameters are given as follows:
R = 300 Ω
Xl = ωL = 10,000 rad/s x 60 mH = 600 Ω
Xc = 1/(ωC) = 1/(10,000 rad/s x 0.50 µF) = 20 Ω
Substituting these values into the impedance equation, we get:
Z = 300 + j(600 - 20) = 300 + j580 Ω
Taking the magnitude of Z, we get:
|Z| = √(300^2 + 580^2) = 651.8 Ω
Substituting this and the voltage amplitude V = 50 V into the formula for current amplitude, we get:
i = V/Z = 50/651.8 = 0.0765 A
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Since the investigative question has two variables, you need to focus on each one separately. Thinking only about the first part of the question, mass, what might be a hypothesis that would illustrate the relationship between mass and kinetic energy? Use the format of "if…then…because…” when writing your hypothesis.
Answers
In order to form a hypothesis that would illustrate the relationship between mass and kinetic energy, we first need to understand what kinetic energy and mass are and how they are related. Kinetic energy is the energy that an object possesses due to its motion, and is given by the formula KE = 0.5mv², where m is the mass of the object and v is its velocity. Mass, on the other hand, is a measure of the amount of matter in an object.
The relationship between mass and kinetic energy is direct, meaning that as mass increases, so does kinetic energy, provided that velocity remains constant. Similarly, if velocity increases, then kinetic energy will increase as well, provided that mass remains constant.
The hypothesis that illustrates this relationship can be stated as follows:If the mass of an object is increased, then the kinetic energy of the object will also increase, because kinetic energy is directly proportional to mass, assuming velocity remains constant.In other words, if the mass of an object is doubled, then its kinetic energy will also double, assuming that its velocity remains constant. This hypothesis can be tested through experiments that involve measuring the kinetic energy of objects with different masses, but with the same velocity.
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If the mass of an object increases, then its kinetic energy will increase proportionally because mass and kinetic energy have a linear relationship when graphed.
Robb wants to win the next sled race. He asks for your advice. What would you tell him he should change in order to win? Explain why your solution would work in terms of energy.
Answers
Answer: Start at the top of the hill.
Explanation:
The options include:
a. Start at the bottom of the hill.
b. Start at the top of the hill.
c. Start in the middle of the hill.
Sled racing is simply a winter dog sport racing. Since Robb wants to win the next sled race, the advice that'll be given to him is that he should start at the top of the hill.
Other options such as starting at the bottom of the hill or the middle of the hill are wrong.
Q3A) Sodium emits photons with a wavelength of 589 nm. What is the wavelength in meters? Q3B) What is the frequency of light with a wavelength of 589 nm ? Q3C) What is the energy (in J) of a single photon with a wavelength of 589 nm ? Q3D) What is the energy of a mole of photons with a wavelength of 589 nm ? Q4) What electron transition (n 6
→n 2
) or (n 4
→n 2
) has the higher energy difference? Q5) What electron transition (n 6
→n 2
) or (n 4
→n 2
) emits the higher energy photon?
Answers
The wavelength of sodium emissions is 589 nm (5.89 × 10⁻⁷ meters), with a frequency of approximately 5.09 × 10¹⁴ Hz. A single photon at this wavelength has an energy of 3.37 × 10⁻¹⁹ joules.
The wavelength of light is typically measured in meters. To convert from nanometers (nm) to meters, we divide the value by 10⁹, since there are 10⁹ nanometers in a meter. Therefore, the wavelength of sodium emissions, which is 589 nm, can be expressed as 5.89 × 10⁻⁷ meters. The frequency of light is inversely proportional to its wavelength. The relationship between frequency (f) and wavelength (λ) is given by the equation f = c/λ, where c represents the speed of light. By substituting the known values, we can calculate the frequency. The speed of light is approximately 3 × 10⁸ meters per second. Therefore, the frequency of light with a wavelength of 589 nm is approximately 5.09 × 10¹⁴ Hz. The energy of a photon can be determined using the equation E = hf, where E represents energy, h is Planck's constant (approximately 6.63 × 10⁻³⁴ J·s), and f is the frequency of the light. We have already calculated the frequency in the previous answer as approximately 5.09 × 10¹⁴ Hz. By substituting these values into the equation, we find that the energy of a single photon with a wavelength of 589 nm is about 3.37 × 10⁻¹⁹ joules. To determine the energy of a mole of photons, we need to multiply the energy of a single photon by Avogadro's number (approximately 6.022 × 10²³). By doing this calculation using the energy we obtained in the previous answer (3.37 × 10⁻¹⁹ joules), we find that the energy of a mole of photons with a wavelength of 589 nm is approximately 2.03 × 10⁴ joules. The electron transition from n=4 to n=2 has a higher energy difference. The energy difference between electron energy levels in an atom can be calculated using the equation ΔE = E₂ - E₁, where ΔE represents the energy difference, and E₂ and E₁ are the energies of the final and initial states, respectively. In this case, the transition from n=4 to n=2 will have a higher energy difference compared to the transition from n=6 to n=2 since the energy difference is inversely proportional to the principal quantum number (n). As n decreases, the energy difference increases. The energy of a photon emitted during an electron transition is directly proportional to the energy difference between the initial and final states. In this case, the transition from n=6 to n=2 will result in a higher energy photon emission compared to the transition from n=4 to n=2 since the energy difference is larger for the former transition. Therefore, the electron transition from n=6 to n=2 emits the higher energy photon.
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Current 1 of 8.4 A runs for 240 seconds and then stops. Current 2 is 10.5 A. How long does current 2 have to run to deliver the same amount of charge as current 1? 88.2 s 192 s 2016 s 21,000 s
Answers
Answer:
The charge of a current in a given period of time is calculated by multiplying the current and the duration of that current. Since in the problem charge would be constant, we can relate the first conditions to the second conditions.
q = IT
q1 = q2
I1T1 = I2T2
8.4(240)=(10.5)(T2)
T2 = 192 seconds
If I increase mass of 2 objects 2 times and increase the distance 2 times what happen to the force
Answers
Relation between Distance and acceleration
\(\\ \tt\longmapsto a=dv/dt\)
\(\\ \tt\longmapsto a=ds/dt^2\)
So
\(\\ \tt\longmapsto a\propto s\)
Acceleration is directly proportional to distance.And
According to Newton's law
\(\\ \tt\longmapsto F=ma\)
\(\\ \tt\longmapsto F\propto m,a\)
So Force will be four times .Explain how radiation takes place
Answers
Answer:
Heat transfer through radiation takes place in the form of electromagnetic waves, mainly in the infrared region. The radiation is emitted by some body as a consequence of the thermal agitation of its composing molecules.
Explanation:
The transfer of heat by radiation involves the carrying of energy from an origin to the space surrounding it. The energy is carried by electromagnetic waves and does not involve the movement or the interaction of matter.
Answer:
depressions of ozyan leyar
For each probability and percentile problem, draw the picture.The speed of cars passing through the intersection of Blossom Hill Road and the Almaden Expressway varies from 11 to 35 mph and is uniformly distributed. None of the cars travel over 35 mph through the intersection.Part (a)In words, define the Random Variable X.the speed, in mph, of an individual car passing through the intersectionthe time, in seconds, it takes a car to pass through the intersection the number of cars passing through the intersectionthe number of cars driving below 35 mph through the intersectionPart (b)Give the distribution of X.X ~Enter an exact number as an integer, fraction, or decimal.f(X) = , where ≤ X ≤Part (e)Enter an exact number as an integer, fraction, or decimal.μ =Part (f)σ = (rounded to two decimal places)Part (g)What is the probability that the speed of a car is at most 26 mph? (Enter your answer as a fraction.)Part (h)What is the probability that the speed of a car is between 18 and 22 mph? (Enter your answer as a fraction.)Part (i)State "P(19 < X < 56) = ___" in a probability question.What is the probability that the speed of a car is below 19 given that it is below 56 mph?What is the probability that the speed of a car is exactly 19 or 56 mph? What is the probability that the speed of a car is below 19 or above 56 mph?What is the probability that the speed of a car is between 19 and 56 mph?Draw the picture and find the probability. (Enter your answer as a fraction.)Part (j)Find the 90th percentile.This means that 90% of the time, the speed is less than mph while passing through the intersection.Part (k)Find the 85th percentile. In a complete sentence, state what this means.This means that % of the time, the speed is less than mph while passing through the intersection.Part (l)Find the probability that the speed is more than 24 mph given (or knowing that) it is at least 15 mph. (Enter your answer as a fraction.)
Answers
Arbitrary variable X: The individual car's speed through the intersection, expressed in mph. X is evenly distributed between the range of 11 and 35 mph, inclusive, according to the formula X = Uniform speed (11,35).
How much does X's standard deviation weigh?A spread metric for a random variable distribution that identifies how far the values deviate from the expected value. The standard deviation of the random variable X is frequently written as or X.
(f) Standard deviation σ:
σ = sqrt[(35 - 11)² / 12] ≈ 6.18
(g) Chance that a car will travel at most 26 mph:
P(X ≤ 26) = (26 - 11) / (35 - 11) = 15 / 24 = 5 / 8
(h) The likelihood that a car will travel between 18 and 22 miles per hour:
P(18 ≤ X ≤ 22) = (22 - 18) / (35 - 11) = 4 / 24 = 1 / 6
Probability questions:
P(19 < X < 56) = 1, since X cannot be greater than 35 mph.
P(X < 19 | X < 56) = P(X < 19) = (19 - 11) / (35 - 11) = 8 / 24 = 1 / 3
P(X = 19 or X = 56) = 0, since X is a continuous random variable.
P(X < 19 or X > 56) = P(X < 19) + P(X > 35) = (19 - 11) / (35 - 11) + (35 - 35) / (35 - 11) = 8 / 24 + 0 = 1 / 3
P(19 ≤ X ≤ 56) = P(X ≤ 56) - P(X < 19) = (35 - 11) / (35 - 11) - (19 - 11) / (35 - 11) = 24/24 - 8/24 = 2 / 3
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: Question 1 (1 point) Imagine that the concentration of red blood cells are increased in a blood sample. The new blood sample will behave more like a Newtonian fluid. True False Question 4 (2 points) Select the best option: In fluid mechanics, the dynamic viscosity is the slope of the relationship between shear stresses and shear rates? True False Best describes the Newtonian fluids Question 5 (1 point) Lymph flow is generated by the active pumping motion of the lymph valves True False
Answers
Answer 1: False, because the increase in red blood cells in the blood sample will make the sample non-Newtonian fluid.
Answer 4: True, because dynamic viscosity is the slope of the relationship between shear stresses and shear rates.
Answer 5: True, because lymph flow is generated by the active pumping motion of the lymph valves.
A Newtonian fluid is a type of fluid that exhibits a linear relationship between the rate of deformation and the shear stress applied to it. In other words, the fluid's viscosity remains constant, regardless of the shear rate or the amount of stress applied to it.
1: Increasing the concentration of red blood cells can cause the blood to behave less like a Newtonian fluid and more like a non-Newtonian fluid therefore the given statement is false.
4: In fluid mechanics, dynamic viscosity is defined as the slope of the relationship between shear stresses and shear rates therefore the given statement is true.
Newtonian fluids have a constant viscosity regardless of the applied shear stress. This means that their viscosity is independent of the rate at which they are deformed.
5: Lymph flow is generated by the active pumping motion of lymph valves, which help to move lymphatic fluid through the vessels of the lymphatic system therefore the given statement is true.
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Can you please help me figure out the work for the missing quantities?
Answers
Answer: set up proportions
Explanation:
A 197 g object apparently loses 34 g when fully submerged in a liquid of density 2.3 g/cm3. What is the density of the object
Answers
Answer:
13.33 gm/cm^3
Explanation:
Displacement of liquid =
34 gm / 2.3 gm/cm^3 = 14.783 cm^3
so the VOLUME of the object is 14.783 cm^3
density = 197 gm / 14.783 cm^3 = 13.33 gm/cm^3
A motor cycle travelling at 100km/h on a flat road applies the brakes at 0.80m/s² for 1 minute. How far did the motorcycle travel during this time?
Answers
Answer: 228 meters
Explanation: D=vIxt+1/2At^2
a 6.00-kg ornament is held at rest by two light wires that form 30° angles with the vertical, as shown in the figure. an external force of magnitude f acts vertically downward on the ornament. the tension exerted by each of the two wires is denoted by t. a free-body diagram, showing the four forces that act on the box, is shown in the figure. if the magnitude of force f is 410 n, what is the magnitude of the tension t?
Answers
The equilibrium condition allows finding the result for the tension of the cable that supports the block is:
The tension is: T₁ = 270.66 N
Newton's second law gives a relationship between force, mass and the acceleration of bodies, when the acceleration is zero it is called the equilibrium condition.
A free-body diagram of the forces is shown in the attachment.
Let's write the equilibrium equation for the vertical axis.
2 \(T_1_y\) - f - W = 0
2 \(T_1_y\) = W + f
Let's use trigonometry to find the tension, as the angle indicates that it is relative to the vertical.
cos 30 = \(\frac{T_1_y}{T_1}\)
\(T_1_y\) = T1 cos 30
We substitute.
2T₁ cos 30 = W + f
T₁ = m g + f / 2 cos 30
T₁ = \(\frac{6 \ 9.8 + 410}{2 \ cos 30}\)
T₁ = 270.66 N
In conclusion using the equilibrium condition we can find the result for the tension of the cable that supports en bloc is:
The tension is: 270.66 N
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Why is it an advantage to the beef
producer that beef cattle are foragers?
A. The cattle can graze for grain to eat.
B. It reduces labor as long as there is a good supply of
grasses.
C. The beef will grow much faster with an abundance of
food.
D. It helps to make the herd more fertile.
Answers
what is meaning of forages
It reduces labor as long as there is a good supply of grasses. Therefore, option B is correct.
What are the advantages of beef production?Ruminants are unique animals that are classified as such. This indicates that their stomach has four distinct components and is particularly built. The several compartments aid in the digestion of the lignin and cellulose found in the plants they consume. The energy can be converted by cattle in a way that is not possible for humans.
Numerous additional by-products from cattle are also available to us. These include sections of the cow that are utilized to create goods for the house, body, food, and industry. Other than beef, byproducts are goods with added value that come from cattle.
The claim that land for beef cattle may be used for other crops for human use is one that is frequently made. This is not totally accurate, though, as beef cattle live a large portion of their lives on forage-based systems. If not utilized for grazing, forages are often cultivated on land that is unsuitable for other high-value crops and would be regarded as a land of marginal use.
Thus, option B is correct.
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A truck enters a highway driving 60 mph A car enters the highway at the same place 0 nutes later and dives 72 mph in t The car will pass the truck in (Round to the nearest minute) minutes same directi
Answers
A truck enters a highway driving 60 mph A car enters the highway at the same place 0 nutes later and dives 72 mph in t The car will pass the truck in (Round to the nearest minute) minutes same direction From So the car enters the highway,However, this contradicts the information given that the car enters the highway 0 minutes later than the truck.
To determine how long it will take the car to pass the truck, we can set up an equation based on their relative speeds and distances traveled.
Let's assume that the car passes the truck after time 't' minutes.
In 't' minutes, the truck will have traveled a distance of 60 × (t/60) = t miles.
The car enters the highway 0 minutes later and travels at a speed of 72 mph. Therefore, when the car passes the truck, it will have traveled a distance of 72 × (t/60) = 1.2t miles.
To find when the car passes the truck, we can set up the following equation:
t = 1.2t
Simplifying the equation, we get:
t - 1.2t = 0.2t
0.2t = 0
This equation does not yield a valid solution since it implies that the time required for the car to pass the truck is 0 minutes. However, this contradicts the information given that the car enters the highway 0 minutes later than the truck.
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the palomar observatory has the largest one of these on earth. what is it?
Answers
The Palomar Observatory, located in San Diego County, California, is renowned for housing the Hale Telescope, which is the largest optical telescope on Earth. The Palomar Observatory is home to the largest optical telescope on Earth.
The Palomar Observatory, located in San Diego County, California, is renowned for housing the Hale Telescope, which is the largest optical telescope on Earth. The Hale Telescope has a mirror with a diameter of 200 inches (5.08 meters) and is named after its benefactor, George Ellery Hale, who played a significant role in its development. This massive telescope was completed in 1948 and has been instrumental in numerous astronomical discoveries and observations.
The size of the telescope's primary mirror allows it to gather a substantial amount of light, enabling astronomers to observe faint celestial objects and capture detailed images of astronomical phenomena. With its impressive size and advanced technology, the Hale Telescope has contributed significantly to our understanding of the universe and continues to be an important tool for astronomical research at the Palomar Observatory.
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A bowling ball that weighs 70 N is dropped from a tower 15 meters above the ground. Disregarding air friction, what is the KE of the ball when it reaches the ground? What is the ball’s velocity the moment before it hits the ground?
Answers
The kinetic energy of the bowling ball of weight 70 N is 1050 J, and the velocity of the ball the moment before it hits the ground is 17.15 m/s.
What is kinetic energy?This is the energy of a body in motion.
To calculate the kinetic energy of the ball when it hits the ground, we use the formula below.
Formula:
Since there is no loss due to friction,
Kinetic energy = Potential energyK.E = Wh.............. Equation 1Where,
K.E = Kinetic energyW = Weight of the ballh = Height of the towerFrom the question,
Given:
W = 70 Nh = 15 mSubstitute into equation 1
K.E = 70×15K.E = 1050 JAlso,
To calculate the velocity before the ball hit the ground, we use the formula below.
v = √(2gh)......... Equation 2Where:
g = Acceleration due to gravity = 9.8 m/s²v = Velocity of the ball before hitting the ground.Substitute into equation 2
v = √(2×15×9.8)v = √294v = 17.15 m/sHence, the kinetic energy and the velocity of the ball before hitting the ground is 1050 J and 17.15 m/s respectively.
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A 0.145 kg baseball is thrown with a velocity of 25.0 m/s. How much work was done on the baseball to bring it from rest to 25.0 m/s? [Neglect air resistance]
Answers
Answer:
45.31 J
Explanation:
We are given that
Mass of baseball , m=0.145 kg
Initial velocity, u=0
Final velocity, v=25 m/s
We have to find the work done on the baseball to bring it from rest to 25 m/s
We know that
Work done = Change in kinetic energy
Work done, W=\(\frac{1}{2}m(v^2-u^2)\)
Using the formula
Work done, W\(=\frac{1}{2}(0.145)((25)^2-0)\)
Work done=\(\frac{1}{2}(0.145)(625)\)
Work done, W=45.31 J
Hence, the work done on the baseball to bring it from rest to 25 m/s
=45.31 J
Can be Doppler shifted, reflected, refracted,
diffracted, and can undergo constructive and
destructive interference.
Answers
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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which three things are connected in the system that causes us to see the moon’s phases?
Answers
The three things that are connected in the system that causes us to see the moon's phases are the moon, the sun, and the Earth. As the moon orbits around the Earth, it also receives sunlight from the sun.
Depending on the moon's position in relation to the sun and the Earth, different portions of the moon's surface are illuminated. When the moon is between the sun and the Earth, we see the side of the moon that is not illuminated, which is known as the new moon phase. As the moon moves in its orbit, we see different portions of the illuminated side of the moon, which causes the different phases such as crescent, half-moon, and full moon. The changing phases of the moon occur due to the interaction of these three celestial bodies in the system, which is also known as the lunar cycle.
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A solenoid with 372 turns per meter and a diameter of 17.9 cm has a magnetic flux through its core of magnitude 1.27x10^-4 Tm^2
A) find the current in this solenoid
B) how would answer A change in the solenoid were doubled? Explain.
Answers
A) The current in the solenoid is 0.22 A. B) If the solenoid were doubled, the current would remain the same.
A) The magnetic flux through the solenoid is given by Φ = μ₀n²πr²I, where μ₀ is the permeability of free space, n is the number of turns per unit length, r is the radius of the solenoid, and I is the current.
Solving for I, we get I = Φ/(μ₀n²πr²)
= (1.27x10⁻⁴ Tm²)/(4πx10⁻⁷ TmA⁻¹x372²/m²x(0.179/2)²m²)
= 0.22 A.
B) Doubling the solenoid would double the number of turns per unit length (n) and the radius (r), but the magnetic flux would remain the same.
Therefore, using the same equation as before, we see that the current would remain unchanged, since the increase in n and r would cancel each other out.
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A ball is thrown upward.
What is its initial vertical speed? The acceleration of gravity is 9.8 m/s and maximum height is 5.9 m, Neglect air resistance.
Answer in units of m/s.
Answers
Answer:
It is 10.75
Explanation:
The largest grand piano in the world is really grand. Built in London, it has a mass of 1,152 kg. Suppose a pianist finishes playing this piano and pushes herself from the piano so that she rolls backwards with a speed of 1.5 m/s. Meanwhile, the piano rolls forward with a constant velocity of 0.06 m/s. Assuming the stool that the pianist is sitting on has a negligible mass, what is the pianist’s mass? Round to the hundredths.
Answers
ANSWER:
46.08 kg
STEP-BY-STEP EXPLANATION:
Given
m1 = 1152 kg
v1 = 0.06 m/s
v2 = -1.5 m/s
We apply law of conservation of linear momentum:
\(\begin{gathered} P_i=P_f \\ P_i=0 \\ P_f=m_1\cdot V_1+m_2\cdot V_2 \end{gathered}\)We plug in and calculate for the mass, just like this:
\(\begin{gathered} 0_{}=m_1\cdot V_1+m_2\cdot V_2 \\ 0=1152\cdot0.06+m_2\cdot-1.5 \\ -1.5m_2=-69.12 \\ m_2=\frac{-69.12}{-1.5} \\ m_2=46.08\text{ kg} \end{gathered}\)Which means that the mass of the pianist is 46.08 kg
describe briefly what types of observations you will make in activity 1-1 to determine whether like or unlike charges attract each other
Answers
In Activity 1-1, we will make a variety of observations to determine whether like or unlike charges attract each other. We will start by observing the behavior of objects with the same charge,
such as two positively charged balloons or two negatively charged balloons. If they repel each other, we can conclude that like charges repel. Similarly,
we will observe the behavior of objects with opposite charges, such as a positively charged balloon and a negatively charged balloon. If they attract each other, we can conclude that unlike charges attract.
We will also test these observations by changing the charges of the objects, such as by rubbing a balloon on a sweater to give it a charge. Through these observations, we will be able to determine the behavior of like and unlike charges and how they interact with each other.
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Convert 0.000000123 to scientific notation
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Answer:
1.23 x 10^ -7
Explanation:
0.000000123, move the decimal to the right 7 places
While an object moves along a curved path it ______ possible for acceleration to be zero. which of the choices correctly fills in the blank?
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While an object moves along a curved path it is not possible for acceleration to be zero.
What is acceleration?The term acceleration has to do with the change of velocity with time. We know that velocity is a vector quantity. Since velocity is a vector quantity, it means that velocity would have both magnitude and direction.
Given the fact that the magnitude of the velocity of the object that is moving along a curved path may be constant, the direction of the velocity still changes.
Owing to the fact that we must consider both changes in magnitude and direction of velocity, it then follows that while an object moves along a curved path it is not possible for acceleration to be zero.
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imagine you live in a town near the foot of a volcano. what indicators might you look for to predict when the volcano might erupt?
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Answer:
i don't really know the exact answer but i would say something like earthquakes or steam/excessive heat
Explanation:
How fast would a 20 kg dog have to run, to reach a momentum of 120 kg x m/s? Include unit in your answer. Worth 40 points!
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Answer:
6 m/s
Explanation:
momentum= mass times velocity
120 = 20v
v = 120/20
Answer:
7
Explanation:
7