The mass of the cart is 30kg
Using Newton's formula which states that Force is given as product of mass and acceleration.
The force is given to be 60N
The acceleration is given to be 2 m/s^2
Using the formula
F=ma
Putting the values of formula,
60 = m x 2
m = 30 kg
Hence the mass of the cart is 30kg
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For this trajectory, what would the vertical component of acceleration for the module be at time tm=t0−σ=325s? Recall that acceleration is the derivative of velocity with respect to time.
The vertical component of acceleration of the suspension system at \(t = 325\,s\) is \(-2.157\times 10^{-133}\) meters per square second.
Determination of the vertical component of acceleration of a suspension systemFirst, we obtain the function acceleration (\(a(t)\)), in meters per square second, by deriving the function position (\(y(t)\)), in meters, twice:
Position
\(y(t) = 0.75\cdot e^{-0.95\cdot t}\cdot \cos 6.3t\) (1)
Velocity
\(v(t) = 0.75\cdot [-0.95\cdot e^{-0.95\cdot t}\cdot \cos 6.3t-6.3\cdot e^{-0.95\cdot t}\cdot \sin 6.3t ]\)
\(v(t) = (-0.713\cdot \cos 6.3t -4.725\cdot \sin 6.3t)\cdot e^{-0.95\cdot t}\) (2)
Acceleration
\(a(t) = (4.492\cdot \sin 6.3t-29.768\cdot \cos 6.3t )\cdot e^{-0.95\cdot t} -0.95\cdot (-0.713\cdot \cos 6.3t - 4.725\cdot \sin 6.3t)\cdot e^{-0.95\cdot t}\)
\(a(t) = (8.981\cdot \sin 6.3t -29.091\cdot \cos 6.3t) \cdot e^{-0.95\cdot t}\) (3)
Now we evaluate the function acceleration for \(t = 325\,s\):
\(a(325) = [8.981\cdot \sin (6.3\cdot 325) - 29.091\cdot \cos (6.3\cdot 325)]\cdot e^{-0.95\cdot (325)}\)
\(a(325) = -26.437\cdot e^{-308.75}\)
\(a(325) = -26.437\cdot (8.158\times 10^{-135})\)
\(a(325) = -(2.644\times 10^{1})\cdot (8.158\times 10^{-135})\)
\(a(325) = -21.570\times 10^{-134}\)
\(a(325) = -2.157\times 10^{-133}\)
The vertical component of acceleration of the suspension system at \(t = 325\,s\) is \(-2.157\times 10^{-133}\) meters per square second. \(\blacksquare\)
Remark
The statement is incomplete and incorrectly formatted, correct form is presented below:
A design team for an electric car company finds that under some conditions the suspension system of the car performs in a way that produces unsatisfactory bouncing of the car \(y\) as a function of time \(t\) under these conditions, they find that it is described by the relationship: \(y(t) = y_{o}\cdot e^{-\alpha\cdot t}\cdot \cos \omega t\), where \(y_{o} = 0.75\,m\), \(\alpha = 0.95\,s^{-1}\), \(\omega = 6.3\,s^{-1}\). In order to find the vertical velocity of the car as a function of time we will need to evaluate the derivative of the vertical position with respect to time, \(\frac{dy}{dt}\). For this trajectory, what would the vertical component of acceleration for the module be at time \(t = 325\,s\)? Recall that acceleration is the derivative of velocity with respect to time.
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An object of temperature 329 K is in a room at 288 K. Calculate how
much heat is lost from the object in 10 minutes assuming an emissivity
of 0.9 and a surface area of 1.8 m². Take the heat loss units as J for
Joules.
The heat loss from the object in 10 minutes is -0.26 * 10⁻⁹ J.
How can Heat loss from an object be calculated?
Heat loss can be calculated using this formula:
Q/t = oeA {(T₂)⁴ - (T₁)⁴}
It can be found that:
Q = heat loss in joules
t = time in seconds, 10 minutes = 600 seconds
σ = (5.67 x 10⁻8J/s . m² . K⁴)
e = emissivity, 0.9
A = surface area of 1.8 m²
T₂ = temperature of a room, 288 K
T₁ = temperature of an object, 329 K
To find Q which is heat loss,
where,
Q = oeA {(T₂)⁴ - (T₁)⁴}
Q = oeA {(T₂)⁴ - (T₁)⁴}(t)
Q = (5.67 x 10⁻8J/s . m² . K⁴) (0.9) (1.8) (288K⁴ - 329K⁴)(600)
Q = (5511.24){(288)⁴ - (329)⁴}
Q = (5511.24){(6879707136) - (11716114081)}
Q = (5511.24) (-4836406945) = -26652356.64
Q = -0.26 * 10⁻⁹ J
Therefore, the heat loss will be -0.26 * 10⁻⁹ J.
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A solid sphere of radius R, a solid cylinder of radius R, and a rod of length R all have the same mass, and all three are rotating with the same angular velocity The sphere is rotating around an axis through its center. The cylinder is rotating around its long axis, and the rod is rotating around an axis through its center but perpendicular to the rod. Which one has the greatest rotational kinetic energy? a. the sphere b. the cylinder c. the rod d. the rod and the cylinder have the same rotational kinetic energy e. they all have the same kinetic energy
Answer:
b. the cylinder
Explanation:
From the information given:
We understood that the mass of the sphere, cylinder, and rod length is the same with the same angular speed.
Taking their moments:
For the solid sphere; \(\text{The moment of inertia :}\) \(I_s\) = \(\dfrac{2}{5} \times m \times r^2\)
The moment of inertia of the cylinder, \(I_c = 0.5\times m \times r^2\)
The moment of inertia of rod, \(I_r =\dfrac{ m * r^2 }{12}\)
The rotational kinetic energy is directly corresponding to the moment of inertia.
Thus, the cylinder has the greatest rotational kinetic energy.
4. Which of the following is a description of how your body reacts to stress?
O A. Stressor inventory
O B. General adaptation syndrome
O C. Dose-response relationship
OD. Sliding filament theory
Answer:
B. General adaptation syndrome
Explanation:
General adaptation syndrome is a description of how the body reacts to stress. It is a three-stage response that includes alarm, resistance, and exhaustion.
The General Adaptation Syndrome describes how the body reacts to stress in three stages: alarm reaction, resistance, and exhaustion. These stages represent immediate, short-term, and long-term reactions to stressors.
Explanation:The answer to your question, which is 'Which of the following is a description of how your body reacts to stress?' is option B: General Adaptation Syndrome. The General Adaptation Syndrome (GAS) is a term coined by endocrinologist Hans Selye, describing the body's short-term and long-term reactions to stress. When a stressor is perceived, the body reacts in three stages: alarm reaction, resistance, and exhaustion.
The Alarm Reaction stage is the immediate reaction to a stressor, in which the 'fight or flight' response is activated and levels of stress hormones like adrenaline and cortisol increase.
During the Resistance stage, the body attempts to return to normal while still alert. However, if the stressor persists, the body might remain on high alert, causing steady and prolonged release of stress hormones.
In the Exhaustion stage, long-term stress depletes the body's energy resources leading to fatigue, decreased immunity, and potentially more severe health problems if not addressed.
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I need help with this assignment
The inner cylinder of a long, cylindrical capacitor has radius r and linear charge density +λ. It is surrounded by a coaxial cylindrical conducting shell with inner radius r and linear charge density -λ. (a) What is the energy density in the region between the conductors at a distance r from the axis?b) Integrate the energy density calculated in part (a) over the volume between the conductors in a length L of the capacitor to obtain the total electric-field energy per unit length
Hi there!
a)
We can begin by using the equation for energy density.
\(U = \frac{1}{2}\epsilon_0 E^2\)
U = Energy (J)
ε₀ = permittivity of free space
E = electric field (V/m)
First, derive the equation for the electric field using Gauss's Law:
\(\Phi _E = \oint E \cdot dA = \frac{Q_{encl}}{\epsilon_0}\)
Creating a Gaussian surface being the lateral surface area of a cylinder:
\(A = 2\pi rL\\\\E \cdot 2\pi rL = \frac{Q_{encl}}{\epsilon_0}\\\\Q = \lambda L\\\\E \cdot 2\pi rL = \frac{\lambda L}{\epsilon_0}\\\\E = \frac{\lambda }{2\pi r \epsilon_0}\)
Now, we can calculate the energy density using the equation:
\(U = \frac{1}{2} \epsilon_0 E^2\)
Plug in the expression for the electric field and solve.
\(U = \frac{1}{2}\epsilon_0 (\frac{\lambda}{2\pi r \epsilon_0})^2\\\\U = \frac{\lambda^2}{8\pi^2r^2\epsilon_0}\)
b)
Now, we can integrate over the volume with respect to the radius.
Recall:
\(V = \pi r^2L \\\\dV = 2\pi rLdr\)
Now, we can take the integral of the above expression. Let:
\(r_i\) = inner cylinder radius
\(r_o\) = outer cylindrical shell inner radius
Total energy-field energy:
\(U = \int\limits^{r_o}_{r_i} {U_D} \, dV = \int\limits^{r_o}_{r_i} {2\pi rL *U_D} \, dr\)
Plug in the equation for the electric field energy density and solve.
\(U = \int\limits^{r_o}_{r_i} {2\pi rL *\frac{\lambda^2}{8\pi^2r^2\epsilon_0}} \, dr\\\\U = \int\limits^{r_o}_{r_i} { L *\frac{\lambda^2}{4\pi r\epsilon_0}} \, dr\\\)
Bring constants in front and integrate. Recall the following integration rule:
\(\int {\frac{1}{x}} \, dx = ln(x) + C\)
Now, we can solve!
\(U = \frac{\lambda^2 L}{4\pi \epsilon_0}\int\limits^{r_o}_{r_i} { \frac{1}{r}} \, dr\\\\\\U = \frac{\lambda^2 L}{4\pi \epsilon_0} ln(r)\left \| {{r_o} \atop {r_i}} \right. \\\\U = \frac{\lambda^2 L}{4\pi \epsilon_0} (ln(r_o) - ln(r_i))\\\\U = \frac{\lambda^2 L}{4\pi \epsilon_0} ln(\frac{r_o}{r_i})\)
To find the total electric field energy per unit length, we can simply divide by the length, 'L'.
\(\frac{U}{L} = \frac{\lambda^2 L}{4\pi \epsilon_0} ln(\frac{r_o}{r_i})\frac{1}{L} \\\\\frac{U}{L} = \boxed{\frac{\lambda^2 }{4\pi \epsilon_0} ln(\frac{r_o}{r_i})}\)
And here's our equation!
If a lightbulb uses 65 W of electricity, but only uses 45 W to become light energy and uses 20 W as heat energy, how efficient m is the light bulb?
Answer:
Explanation:
the 40-watt bulb is going to require less energy to power.
An object A is placed 12cm in front of a concave mirror M₁ of focal length 8cm and a plane mirror M₂ is placed 30cm in front of the concave mirror as shown in Figure 1 The object A is first reflected by M₁and then reflected by M₂ to get an image 1₂. What is the distance between 1₂ and the object A?
According to the question the distance between the object A and the image 1₂ is 6 cm.
What is distance?Distance is the measure of how far apart two objects, points, or locations are from one another. Distance can be measured in linear units such as feet, meters, or kilometers, or angular units such as degrees. The concept of distance is a fundamental concept in mathematics, physics, and other sciences. Distance is used to calculate the speed and velocity of objects, as well as the force of gravity between two objects.
The distance between the object A and the image 1₂ can be calculated using the mirror equation.
Mirror equation: 1/d₁ + 1/d₂ = 1/f
Where d₁ is the object distance, d₂ is the image distance, and f is the focal length of the mirror.
In this case, d₁ = 12 cm, d₂ = ? and f = 8 cm.
Substituting these values into the equation gives us:
1/12 + 1/d₂ = 1/8
Rearranging the equation gives us:
1/d₂ = 1/8 – 1/12
Plugging in the values gives us:
1/d₂ = 1/8 – 1/12 = 1/6
Solving for d₂ gives us:
d₂ = 6 cm
Therefore, the distance between the object A and the image 1₂ is 6 cm.
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Which statement accurately describes what happens when ice melts in terms of energy? The ice absorbs energy which causes in water molecules to have to have more kinetic and potential energy, changing their configuration from solid to a linguist. The ice releases energy which causes chemical bonds to break Changing the ice to matter The ice absorbs energy which causes chemical bonds to break changing ice to water. The ice realeases energy which causes the water molecules to have less kinetic and potential energy changing their configuration from solid to linguistic to liguid
Answer:
The first one
Explanation:
But I'm not sure though
How much kinetic energy does a 4kg cat have while running at 9 m/s
Answer:
How much kinetic energy does a 4 Kg cat have while running at 9 m/s?
its 5 J of kinetic energy.
Explanation:
Answer:
162 joules
Explanation:
Kinetic Energy = 1/2 * m * v^2
= 1/2 * 4 * 9^2 = 162 joules
HELP!!!!!
Explain how the sea star reproduce and why the fisherman returned to more sea stars. (page 29 - 32) (book in case needed: california inspire science reproduction of organisms grade 6 integrated unit 2 student edition) (Two parts for full points - 10 points for how the sea star reproduces including what it is called and 10 points to explain why the fisherman found more stars.) <----- That is part of a question not the points i can give you,
Answer:
A sea star that has the ability to regenerate amputated limbs must first undergo a repair phase to heal the exposed wound. Once the wound is healed, the sea star can begin to generate new cells, which in turn, sparks new growth. Regeneration can take anywhere from several months to years. Reproduction: Sea stars are broadcast spawners. Males release sperm into the water and females release eggs. The fertilized eggs hatch into a larval form that lives as plankton, sometimes for months, before settling on the sea floor in its adult form..
3. Observe: An organelle is a cell structure that performs a specific function. Observe the samples below under the highest magnification. Click the Show labels checkbox to label the organelles. List the organelles and approximate size of the cells in each sample.
Organelles are specialized structures within cells that perform specific functions, such as energy production, protein synthesis, and waste removal.
Some examples of organelles include mitochondria, which produce energy for the cell, and ribosomes, which are involved in protein synthesis.
The size of cells can vary widely depending on the organism and the type of cell. For example, human cells can range from 10 to 30 micrometers in diameter, while bacterial cells are typically much smaller, ranging from 1 to 5 micrometers in diameter.
In summary, organelles are specialized structures within cells that perform specific functions, and the size of cells can vary widely depending on the organism and the type of cell.
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in the figure a crate of mass m = 75 kg is pushed at a constant speed up a frictionless ramp (θ=34) by a horizontal force F. The positive direction of an X-axis is up the ramp, and the positive direction of a y-axis is perpendicular to the ramp. (a) What is the magnitude of F? (b) What is the magnitude of the normal force on the crate?
Explanation:
Thanx for the figure;
The force component of F UP the ramp that moves the crate must equal the force of the crate DOWN the ramp
75 kg = mg Newtons = 735.8 Newtons
Downplane force is 735.8 sin 34° = 411.4 Newtons
Fn =The horizontal force will be found by cos 34 = 411.4/ F F = 411.4/cos (34) = 496 N
Normal Force = 735.8 cos 34° = 610 N This part is due to the mass of the crate....there is additional normal force from the force pushing the crate up the hill (from below)
= F sin34 = 496 sin 34 = 277.4 N
SUM of normal forces = 610 + 277.4 = 887.4 N
Answer:
a. |F| ≈ 496 N
b. normal force ≈ 887 N
Explanation:
You want the magnitude of the horizontal force F that moves a crate up a 34° ramp at constant speed, and you want the magnitude of the normal force on the crate.
a) Force FThe constant speed of the crate tells you the net force up the ramp is zero. This is the sum of the component of force F in that direction and the force due to gravity in the opposite direction:
F·cos(34°) - m·g·sin(34°) = 0
F = mg·tan(34°) = (75 kg)(9.8 m/s²)tan(34°) ≈ 496 N
The magnitude of force F is about 496 N.
b) Normal forceThe normal force on the crate will be the sum of the component of F in that direction and the force due to gravity in the same direction:
F·sin(34°) +m·g·cos(34°) ≈ 887 N
The magnitude of the normal force is about 887 N.
The max power of an elevator is 20,000 J/s. How much time would it take the elevator to lift 800 Kg 30 meters?
Answer:
11.76s
Explanation:
Answer:komedvkfo
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Explanation:jikmo
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Calculate Time
d
12. A vehicle drives a distance of 26000 m at a speed of 65m/s, calculate the time taken for
this journey.
13. A train travels at a speed of 16 m/s and travel a distance of 3200 m, calculate the time it
takes the train to complete this journey.
urs 14. Calculate the time it takes to travel a distance of 672 km at a speed of 96 km/h.
15. A beetle travels at a speed of 0.09 m/s, it travels a distance of 1.08 m before it is caught
in a jar. Calculate the time taken for the beetle to run.
16. Carlisle is a distance of 35 miles away from Lockerbie. If I travelled at a constant speed
5147
deudate the time takon for this journey
12. The time taken for the journey is 400 s
13. The time taken for the train is 200 s
14. The time taken is 7 h
15. The time taken for the beetle is 12 s
16. The time taken for the journey is 0.0068 h
How do i determine the time taken?The time taken in each case as given by the question can be obtain as follow:
12. The time taken for the journey
Distance traveled = 26000 mSpeed = 65 m/s Time taken =?Time taken = Distance / Speed
Time taken = 26000 / 65
Time taken = 400 s
13. The time taken for the train
Distance traveled = 3200 mSpeed = 16 m/s Time taken =?Time taken = Distance / Speed
Time taken = 3200 / 16
Time taken = 200 s
14. The time taken to travel
Distance traveled = 672 kmSpeed = 96 Km/h Time taken =?Time taken = Distance / Speed
Time taken = 672 / 96
Time taken = 7 h
15. The time taken for the beetle
Distance traveled = 1.08 mSpeed = 0.09 m/s Time taken =?Time taken = Distance / Speed
Time taken = 1.08 / 0.09
Time taken = 12 s
16. The time taken for the journey
Distance traveled = 35 milesSpeed = 5147 mile per hourTime taken =?Time taken = Distance / Speed
Time taken = 35 / 5147
Time taken = 0.0068 h
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What season would Texas be having at point D?
Answer:
Almost winter so fall
Explanation:
Hope this helps! Please let me know if you want me to elaborate more or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
A car travels a distance of 320 km in 4 hours. What is your average speed in meters per second?
Answer:
22.2 m/s
Explanation:
First, we need to convert km to m by multiplying by 1000. This means that the car traveled 320 000 meters.
Next, we convert hours to minutes by multiplying by 3600 (the number of seconds in an hour). This means that overall, the car traveled 320 000 m in 14 400 seconds.
The average speed can be found by using the equation \(\frac{distance}{time}\). After substitution, this gives the fraction \(\frac{320 000}{14 400}\), which reduces to 22 \(\frac{2}{9}\) m/s, or about 22.2 m/s.
What unique strengths would you bring to the Grace Scholars Program?
Grace Scholars Program is a scholarship program that selects the best and brightest students for the program.
The Grace Scholars Program is a prestigious scholarship program that aims to identify and support exceptionally talented and promising students. The program seeks to provide opportunities for these students to excel academically, develop their leadership skills, and make a positive impact in their respective fields.The selection process for the Grace Scholars Program is highly competitive, with a rigorous evaluation of applicants' academic achievements, extracurricular activities, personal qualities, and potential for future success. The program typically looks for students who demonstrate outstanding academic performance, intellectual curiosity, leadership abilities, and a commitment to service and community involvement. By offering this scholarship program, institutions aim to attract and retain top talent, foster a culture of excellence, and contribute to the development of future leaders and innovators who can positively impact society.For such more questions on scholarship
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1. A Zambeef delivery track travels 18 km north, 10 km east, and 16 km south. What is its final displacement from the origin?
Answer:
2km
Explanation:
Given data
We are told that the direction traveled are
North>>>East>>>South
Hence the displacement is defined as the distance away from the initial position is
Initial position =18km
FInal position = 16km
The displacement = 18-16= 2km
Hence the displacement is 2km
An object is attached to a trolley with a 0.80 kg mass, which is then pushed into an identical trolley at a speed of 1.1 m / s. The two trolleys couple together and move at a speed of 0.70 m / s after the collision. Calculate the mass of the object.
The mass of the object is approximately 0.457 kg.
The mass of the object attached to the trolley can be calculated using the principle of conservation of momentum. Since the two trolleys couple together and move as a single system after the collision, the total momentum before and after the collision should be the same. Given the mass of one trolley is 0.80 kg and the initial speed is 1.1 m/s, the momentum before the collision is 0.80 kg * 1.1 m/s = 0.88 kg·m/s. After the collision, the total mass is the sum of the two trolleys, and the final speed is 0.70 m/s.
Using the momentum equation, the mass of the object can be calculated as follows:
Total momentum before collision = Total momentum after collision
0.88 kg·m/s = (0.80 kg + mass of the object) * 0.70 m/s
Solving for the mass of the object, we get:
0.88 kg·m/s = (0.80 kg + mass of the object) * 0.70 m/s
0.88 kg·m/s = 0.56 kg + 0.70 kg * mass of the object
0.88 kg·m/s - 0.56 kg = 0.70 kg * mass of the object
0.32 kg = 0.70 kg * mass of the object
Dividing both sides by 0.70 kg, we find:
mass of the object = 0.32 kg / 0.70 kg = 0.457 kg
The two trolleys collide and couple together, the total momentum before the collision is equal to the total momentum after the collision according to the principle of conservation of momentum.
The momentum of an object is defined as the product of its mass and velocity. In this case, the mass of one trolley is known (0.80 kg) and the initial speed is given (1.1 m/s), allowing us to calculate the momentum before the collision.
After the collision, the two trolleys move together at a new speed (0.70 m/s). By setting the initial momentum equal to the final momentum and solving for the unknown mass of the object, we can find its value.
In the calculation, we subtract the masses of the two trolleys from the total mass in order to isolate the mass of the object.
Dividing the difference in momentum by the product of the known mass and the new speed, we obtain the mass of the object. In this case, the mass of the object is approximately 0.457 kg.
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PLEASE HELP ME ANSWER THIS QUESTION.
When the segment is shrunk to one-third of its original length, the ratio of the final linear charge density (?f) to the initial linear charge density (?i) is f/?i = 3
This is because the charge is the same, but the length of the segment has decreased to one-third of its original length. Therefore, the charge density has increased by a factor of 3.
The ratio of the electric force on the proton after the segment is shrunk (Ff) to the force before the segment was shrunk (Fi) is also 3. This is because the electric force is directly proportional to the charge density, so if the charge density increases by a factor of 3, the electric force will also increase by a factor of 3.
If the original segment of wire is stretched to 15 times its original length, the charge density will decrease by a factor of 15. To keep the linear charge density unchanged, we need to add 14 times the original charge to the wire. This is because the original charge will be spread out over 15 times the original length, so we need to add 14 times the original charge to make up for the decrease in charge density.
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Tonya is modeling the discovery of electromagnetic induction. Which procedure should she use? moving a magnet into a coil of wire in a closed circuit moving a magnet into a coil of wire in an open circuit bringing a compass near a wire that has no electric current bringing a compass near a wire that has an electric current
To model the discovery of electromagnetic induction, Tonya should use the procedure of moving a magnet into a coil of wire in a closed circuit.
Tonya should use the procedure of moving a magnet into a coil of wire in a closed circuit.
Electromagnetic induction refers to the phenomenon of generating an electric current in a conductor by varying the magnetic field passing through it. This concept was discovered by Michael Faraday in the early 19th century. To model this discovery, Tonya needs to recreate the conditions that led to this breakthrough.
In Faraday's experiment, he observed that when a magnet is moved into or out of a coil of wire, it induces an electric current in the wire. This occurs when the magnetic field passing through the coil changes. Therefore, Tonya should use a similar setup to replicate this process.
Out of the given options, the most appropriate procedure for Tonya would be to move a magnet into a coil of wire in a closed circuit. By having a closed circuit, it means that the ends of the wire are connected to form a complete loop. When the magnet is moved into the coil, the changing magnetic field induces an electric current to flow through the wire.
This procedure demonstrates the principle of electromagnetic induction and shows how a changing magnetic field can produce an electric current. It allows Tonya to visually observe the effects of the induced current, which is essential in modeling the discovery of electromagnetic induction.
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4. How do ordinary objects behave in microgravity?
Bubbles rose faster
Bubbles paused
Bubbles kept rising
Answer:
Bubbles paused
Explanation:
the air bubble doesn't rise because it is no lighter than the water around it—there's no buoyancy. The droplet doesn't fall from the leaf because there's no force to pull it off. It's stuck there by molecular adhesion.
for instance, onto the International Space Station, gravity becomes negligible, and the laws of physics act differently than here on Earth
On Earth, the buoyancy of the air bubbles causes them to rise to the top together, creating a segregation between air and water. However, in microgravity, nothing forces the air bubbles to interact and thus rise together, Green said.
3. Forces do ________ always cause an object to move.
need this ASAP
Answer:
not
Explanation:
Answer:
Not
Explanation:
North America and South America are on the same Tectonic Plate.
True
False
Answer:True
Explanation:
A bat emits a sound with a frequency of 134 kHz in a cave where the temperature is 28°C. Assume that air behaves like an ideal monatomic gas and use the fact that the speed of sound in air at 20.0°C is 343 m/s to determine the wavelength of the sound emitted by the bat.
The wavelength of the sound is 2.6 x 10⁻³ m.
What is the wavelength of the sound?The wavelength of the sound or distance travelled by the sound wave is calculated by applying the following formula.
v = fλ
λ = v / f
where;
v is the speed of the sound wave = 343 m/sf is the frequency of the sound wave = 134 kHzλ is the wavelength of the sound wave = ?The wavelength of the sound is calculated as follows;
λ = v / f
λ = ( 343 m/s ) / ( 134,000 Hz )
λ = 2.6 x 10⁻³ m
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Consider a simple pendulum consisting of a massive bob suspended from a fixed point by a string. Let T denote the time (the period of the pendulum) that it takes the bob to complete one cycle of oscillation (the time it takes for the pendulum to swing back and forth one time). How does the period of the swing of the simple pendulum depend on the quantities that define the pendulum and the quantities that determine the motion
Answer:
The period of the swing depends on only the length of the string and not on the mass of the bob and the period of the pendulum depends on only the horizontal component of g.
Explanation:
The period of the swing depends on only the length of the string and not on the mass of the bob. Since the length of the string and the mass of the bob define the pendulum.
Also, the properties that define the motion are the component of the weight of the bob in the horizontal direction which determines the to and fro movement of the bob. So, the period of the pendulum depends on only the horizontal component of g.
So, T = 2π√(l/g) where l = length of pendulum and g = acceleration due to gravity.
In a thermodynamic process, the internal energy of a system in a container with adiabatic walls decreases by 800 J. Which statement is correct
The correct statement is, the system performed 800 J of work on its surroundings.
The given parameters:
change in internal energy, ΔU = 800 JApply first law of thermodynamics;
ΔU = Q + W
where;
Q is the heat gainedW is the work done on the system by the surroundingIn adiabatic process no heat is gained or lost by the system.
Q = 0
ΔU = W (work is positive when it is done on the system by its surrounding)
If work is done by the system to the surrounding, the new equation becomes;
ΔU = - W
W = - ΔU
W = -800 J
This implies that the system performed 800 J of work on its surroundings.
"Your question is not complete, it seems to be missing the following information";
In a thermodynamic process, the internal energy of a system in a container with adiabatic walls decreases by 800 J. Which statement is correct?
a. The system lost 800 J by heat transfer to its surroundings.
b. The system gained 800 J by heat transfer from its surroundings.
c. The system performed 800 J of work on its surroundings.
d. The surroundings performed 800 J of work on the system.
e. The 800 J of work done by the system was equal to the 800 J of heat transferred to the system from its surroundings.
Learn more about first law of thermodynamics here: https://brainly.com/question/20335201
Determine the Mutual Inductance per unit length between two long solenoids, one inside the other, whose radii are r1 and r2 (r2 < r1) and whose turns per unit length are n1 and n2.
Answer:
M' = μ₀n₁n₂πr₂²
Explanation:
Since r₂ < r₁ the mutual inductance M = N₂Ф₂₁/i₁ where N₂ = number of turns of solenoid 2 = n₂l where n₂ = number of turns per unit length of solenoid 2 and l = length of solenoid, Ф₂₁ = flux in solenoid 2 due to magnetic field in solenoid 1 = B₁A₂ where B₁ = magnetic field due to solenoid 1 = μ₀n₁i₁ where μ₀ = permeability of free space, n₁ = number of turns per unit length of solenoid 1 and i₁ = current in solenoid 1. A₂ = area of solenoid 2 = πr₂² where r₂ = radius of solenoid 2.
So, M = N₂Ф₂₁/i₁
substituting the values of the variables into the equation, we have
M = N₂Ф₂₁/i₁
M = N₂B₁A₂/i₁
M = n₂lμ₀n₁i₁πr₂²/i₁
M = lμ₀n₁n₂πr₂²
So, the mutual inductance per unit length is M' = M/l = μ₀n₁n₂πr₂²
M' = μ₀n₁n₂πr₂²
¿Cómo podrías utilizar el sistema de posicionamiento global para proponer recorridos alternativos para llegar a un lugar específico (centro educativo, supermercado, el hogar, el parque, entre otros)?
Answer:
El sistema de posicionamiento global (conocido mundialmente como GPS) podría utilizarse para proponer recorridos alternativos para llegar a un lugar específico, como un parque, a través de la creación de un recorrido guiado por una aplicación móvil con diferentes rutas de acceso al lugar.
Así, por ejemplo, se crearían diferentes rutas de acceso desde un punto A hasta un punto B, teniendo en cuenta factores como: rapidez, congestión vehicular, pago o no de peajes, posibilidad de acceso a pie y determinados factores extra que influyan en la forma de llegar al lugar. Todo ello plasmado en un mapa interactivo en el cual se señalen las rutas disponibles mediante el marcado del mapa en cuestión.