The 149 A current through the 0.350 H inductor can be shut off in about 0.704 seconds without exceeding the induced emf limit of 74.0 V.
We can use the formula:
ε = -L (dI/dt)
where ε is the induced emf, L is the inductance, and dI/dt is the rate of change of current. The negative sign indicates that the induced emf opposes the change in current.
We want to find the maximum rate at which the current can be shut off without exceeding the induced emf limit of 74.0 V.
Rearranging the formula and solving for dI/dt, we get:
dI/dt = -ε / L
Substituting the given values, we get:
dI/dt = -74.0 V / 0.350 H = -211.4 A/s
This means that the current through the inductor can be decreased at a maximum rate of 211.4 A/s without exceeding the induced emf limit of 74.0 V.
To find the time it takes to shut off the current completely, we can use the formula:
t = ΔI / (dI/dt)
where ΔI is the change in current. In this case, ΔI = 149 A (the initial current) - 0 A (the final current) = 149 A. Substituting the values, we get:
t = 149 A / 211.4 A/s = 0.704 s
Therefore, the 149 A current through the 0.350 H inductor can be shut off in about 0.704 seconds without exceeding the induced emf limit of 74.0 V.
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a scientist on earth drops a hammer and a feather at the same time an astronaut on the moon drops a hammer and a feather. which result is expected?
The answer depends if air resistance is ignored. If ignored, the feather and hammer on moon and earth will reach the ground at the same time with respect to their gravitational force (earth > moon)
If air resistance is not ignored, the hammer will reach the ground first on both earth and moon
When a scientist on Earth drops a hammer and a feather at the same time, the expected result is that the hammer would hit the ground first.
When an astronaut on the moon drops a hammer and a feather at the same time, they would hit the ground at the same time. This is because the gravitational pull on the moon is weaker than that on Earth, so objects fall at the same rate regardless of their mass.
What is gravity?Gravity is the force that exists between any two masses, any two bodies, any two particles. It is an attraction force that always exists between objects, and the magnitude of the force depends on the masses of the objects and the distance between them. On the surface of the earth, gravity acts to pull all objects towards the center of the earth, resulting in weight of objects on the surface of the earth.
What is free fall?Free fall refers to the motion of an object falling under the influence of gravity. When an object is dropped from a certain height, it will fall at an accelerating rate towards the ground, until it hits the ground. Objects fall at the same rate regardless of their mass.
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The diagram below shows some waves traveling along a rope.
State the type of waves travelling on the rope.
Explain how you can tell. *
(2 points)
-- Well first of all, the waves are transverse waves. The fibers in the rope, and the hand that generates the waves, are moving up and down, but the wave is moving to the right, towards the wall. These directions are perpendicular.
-- Later on, after the waves reflect from the wall and travel back toward the hand, there are going to be standing waves on the rope. But this is probably beyond the scope of the question.
Guys help me please
On a bright, sunny day you can use a magnifying glass to burn wood by focusing sunlight onto it. The focused sunlight forms a small circular spot of light that heats the wood until it burns. Why is the spot of light circular?.
The spot of light formed by the magnifying glass is circular because the shape of the lens is circular. When the sunlight passes through the lens, it is refracted and converges at a single point.
The point where the sunlight converges is known as the focal point and in this case, it forms a circular spot on the wood. This circular shape is due to the circular shape of the lens and the physics of light refraction.
I'm happy to help you with your question. On a bright, sunny day, you can use a magnifying glass to burn wood by focusing sunlight onto it. The focused sunlight forms a small circular spot of light that heats the wood until it burns. The spot of light is circular because the magnifying glass is a converging lens with a circular shape. When sunlight passes through the lens, it converges (comes together) at a single focal point, forming a circular image due to the symmetrical shape of the lens. The circular spot of light is where the energy of the sunlight is concentrated, causing the wood to heat up and eventually burn.
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Water comes of a tap of cross-sectional area 1.5 cm². After falling a vertical distance of 6.0 cm, the cros sectional area of the water column was found to have reduced to 0.45 cm². Calculate the speed of the water as it exited the tap.
The speed of the water as it exits the tap is approximately 1.89 m/s.
What is the speed of the water as it exited the tap?We can use the principle of conservation of mass and energy to solve this problem. Assuming that the water is incompressible and the flow is steady, the mass flow rate of water at the tap is constant. Therefore, the mass flow rate at the tap is equal to the mass flow rate at the exit:
ρ1A1v1 = ρ2A2v2
where:
ρ1 is the density of water at the tapA1 is the cross-sectional area of the tapv1 is the speed of water at the tapρ2 is the density of water at the exit (we assume it to be the same as ρ1)A2 is the cross-sectional area of the water column at the exitv2 is the speed of water at the exit (what we need to calculate)We can rearrange this equation to solve for v2:
v2 = (ρ1A1v1) / (ρ2A2)
We know that A1 = 1.5 cm², A2 = 0.45 cm², and the vertical distance fallen is 6.0 cm. We can find the speed of water at the tap using the equation for the potential energy:
mgh = (1/2)mv1²
where m is the mass of the water, g is the acceleration due to gravity, h is the vertical distance fallen, and v1 is the speed of water at the tap.
We can rearrange this equation to solve for v1:
v1 = √(2gh)
where;
h = 6.0 cm and g = 9.81 m/s².We also know that the density of water at room temperature is approximately 1000 kg/m³, which is equivalent to 0.001 g/cm³.
Putting all these values into the equation for v2, we get:
v2 = (0.001 g/cm³ x 1.5 cm² x sqrt(2 x 9.81 m/s² x 6.0 cm)) / (0.001 g/cm³ x 0.45 cm²)
Simplifying this expression, we get:
v2 = 1.89 m/s
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A wrestler brings a barbell down to his chest as he bench presses 90 kg. If the barbell accelerates downward at a rate of 2.69 m/s^2 , what is the force exerted by the wrestler on the weights?
The force exerted by the wrestler on the weights of mass 90 kg that accelerates downward at a rate of 2.69 m/s^2 is - 242.1 N
F = m a
F = Force
m = Mass
a = Acceleration
m = 90 kg
a = - 2.69 m / s²
F = 90 * - 2.69
F = - 242.1 N
The formula used to solve the given problem is the Newton's second law of motion according to which force is the rate of change of momentum. The force is negative because the force acts on the opposite direction to motion of the weights.
Therefore, the force exerted by the wrestler on the weights is - 242.1 N
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A car travels downtown on the freeway with a constant speed of 10 miles/hour. if the car travels for .5 hours , how far away is downtown?
The downtown is 5 miles far away, if the car travels at 10 miles / hour for 0.5 hours.
v = d / t
v = Velocity
d = Distance
t = Time
v = 10 mi / hr
t = 0.5 hr
d = v * t
d = 10 * 0.5
d = 5 mi
Velocity of the car is the rate of change of position of the car. In simple words it can be said as velocity is used to calculate the distance covered in a given amount of time.
Therefore, the downtown is 5 miles far.
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Which best describes why gravity on earth has a stronger attraction with you than the sun has with you?.
Answer:
Earth has a smaller mass than the Sun, but it is much closer to you than the Sun, allowing for a stronger attraction.
Explanation:
Science :)
a circuit breaker is tripped when the current in the circuit is greater than 15 A. If the voltage difference is 120, what is the power being used when the circuit breaker is tripped?
Answer:
The answer would be 1800W
Explanation:
P=15a × 120 V
Help!!
Earth has a radius R = 1.5 x 1011 m, T= 365.3 days, and m= 5.97 x 1024 kg. Calculate the
speed of Earth around the sun, assuming a circular orbit.
Answer:
\(29861.23\ \text{m/s}\)
Explanation:
\(R=\text{Radius of Earth's orbit}=1.5\times10^{11}\ \text{m}\)
\(T=\text{Time taken by the Earth to complete the orbit}=365.3\ \text{days}\)
Assuming the orbit is of circular shape the distance the Earth has to travel is the circumference
\(C=2\pi R\\\Rightarrow C=2\pi\times 1.5\times10^{11}\\\Rightarrow C=942477796076.938\ \text{m}\)
Velocity is given by
\(v=\dfrac{C}{T}\\\Rightarrow v=\dfrac{942477796076.938}{365.3\times 24\times 60\times 60}\\\Rightarrow v=29861.23\ \text{m/s}\)
The speed of the Earth around the Sun is \(29861.23\ \text{m/s}\)
Why does a magnet exert force on another magnet when the two magnets are not in contact?
Answer:
1. Why does a magnet exert force on another magnet when the two magnets are not in contact? The magnetic field from north to south increases when they're closer together, and when they repel the repelling force increases as well. This is all due to the magnetic field.
Correct me if I'm wrong, Hope this helps
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why does toilet seats stay cold even when the room temperature is warm?
Answer:
lol While plastic and wood aren't great thermal conductors, they conduct heat faster than air does. Even if the toilet seat is at the same temperature as the air around it, it will feel colder to your but t because heat will move from your skin to the seat at a faster pace Air just doesn't conduct heat very quickly.
Explanation:
What would the acceleration of a car be from a stoplight if it started at 0 m/s and reached a
speed of 100 m/s in 7.8 seconds?
Answer:
The acceleration of a car would be: \(a=12.8\) m/s²
Explanation:
Given
Initial velocity = \(v_1=0\) m/s
Final velocity = \(v_f=100\) m/s
Time elapsed = \(t = 7.8\) s
To determine
We need to determine the acceleration of a car.
We know that acceleration is basically the rate of change in velocity over time.
Thus,
We can determine the acceleration using the formula
\(\:\:\:a=\:\frac{v_f-v_i}{t}\)
where
\(a\) is the acceleration\(v_1\) is the initial velocity\(v_f\) is the final velocity\(t\) is time elapsednow substituting the values \(v_1=0\), \(v_f=100\), and \(t = 7.8\) in the formula
\(\:\:\:a=\:\frac{v_f-v_i}{t}\)
\(a=\:\frac{100-0}{7.8}\)
\(a=\frac{100}{7.8}\)
\(a=12.8\) m/s²
Therefore, the acceleration of a car would be: \(a=12.8\) m/s²
How long does it take for light from jupiter to reach earth.
Answer:
35 to 52 minutes
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If you do the same amount of work on an object in less time, how does the power change?.
Answer:
Either way, you do the same amount of work because you apply the same force (equal to your weight) through the same distance (the height of the stairs.) Power is work per time. That is, if you do the same amount of work in a shorter time, it takes more power.
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Nick parks his car at Target and walks 150 ft. north to get to the store. On his way back to the car, he walks 50 ft. before pausing when he sees a sign for discounted ice cream. What is his distance? What is his displacement?
hello I need help with this question. I started it but am confused
Given:
The mass on the table is,
\(m=1.0\text{ kg}\)The hanging mass is,
\(M=1.5\text{ kg}\)THe coefficient of friction is,
\(\mu=0.20\)let the acceleration of the whole system is a (for the hanging mass it is downward and for the mass on the table it is rightward). the tension towards The fixed point of the pulley is T.
we can write,
\(Mg-T=Ma\ldots.\ldots..\ldots\ldots.(1)\)\(ma=T-\mu mg\ldots.\ldots.\ldots..\ldots..(2)\)Adding these equations we get,
\(\begin{gathered} (M+\mu m)g=(M+m)a \\ a=\frac{(M+\mu m)g}{M+m} \end{gathered}\)Substituting the values we get,
\(\begin{gathered} a=\frac{(1.5+0.20\times1.0)9.8}{1.5+1.0} \\ =6.67m/s^2 \end{gathered}\)Hence the acceleration is 6.66 m/s^2.
At t=0, an automobile traveling north begins to make a turn. It follows one-quarter of the arc of a circle of radius 10. 7 m until at t=2. 00s, it is traveling east. The speed of the car does not alter during the turn.
a. What is the speed of the car?
b. What is the magnitude of the change in the car's velocity during the turn?
c. Find the magnitude of the average acceleration of the car during the turn
(showing work would be appreciated)
a. The speed of the car is 8.39 m/s.
b. The magnitude of the change in the car's velocity during the turn is 11.86 m/s.
c. The magnitude of the average acceleration of the car during the turn is 5.93 m/s².
How to solve for the speeda. What is the speed of the car?
The speed of the car, which is distance divided by time, can be found as follows:
Speed = Distance / Time
= 16.78 m / 2.00 s
= 8.39 m/s.
b. What is the magnitude of the change in the car's velocity during the turn?
= √[(8.39 m/s)² + (8.39 m/s)²]
= 11.86 m/s.
c. Find the magnitude of the average acceleration of the car during the turn.
The formula for average acceleration is the change in velocity divided by the change in time. So:
a_avg = Δv / Δt
= 11.86 m/s / 2.00 s
= 5.93 m/s²
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You lift a 44 N box from the floor and place it on a shelf that is 1.5 m above the ground . How much work did you use in lifting the box ?
Answer:
W = 66 J
Explanation:
Given that,
The weight of the box, W = 44 N
It is placed on a shelf that is 1.5 m above the ground.
We need to find the work done in lifting the box.
We know that,
Work done, W = Fd
So,
W = 44 N × 1.5 m
= 66 J
So, the required work done is equal to 66 J.
A wave with a height of 6 would have greater amplitude than a wave with a height of 5 true or false? HELP
Answer:
it could be either or because it doesnt just depend on the height but it also depends on the pressure but then again the question didnt ask anything about the pressure so the answer should be true
Explanation:
What can always be said about a negatively-charged ion?
A negatively-charged ion always has more neutrons than protons
A negatively-charged ion always has more electrons than protons
A negatively-charged ion always has more protons than electrons
A negatively-charged ion always has more protons than neutrons
Answer: A negatively-charged ion always has more electrons than protons
Explanation:
First, we know that the elementary negative charge is the electron, while the positive one is the proton. Such that both have the same charge in magnitude, but a different sign. Such that if we have the same number of electrons and protons in an atom, the charge of this atom will be neutral.
And an ion is an atom with a different number of electrons and protons, so the charge of the atom is not neutral.
Then if we have a negatively-charged ion, the charge of this atom is negative. Then we must have a larger number of electrons (the negative ones) than protons (the positive ones)
Then the correct option is:
A negatively-charged ion always has more electrons than protons
If the specific gravity of cooking oil is 0.784, what is the density of the cooking oil. [The density of water at the same temperature as the cooking oil is 1.02 g/mL.]
The density of the cooking oil is approximately 0.800 g/mL, calculated using a specific gravity of 0.784 and the density of water (1.02 g/mL).
The specific gravity of a substance is the ratio of its density to the density of a reference substance, usually water. In this case, the specific gravity of the cooking oil is given as 0.784.
Specific gravity = Density of cooking oil / Density of water
We are given the density of water as 1.02 g/mL. Rearranging the equation, we can solve for the density of the cooking oil:
Density of cooking oil = Specific gravity × Density of water
Density of cooking oil = 0.784 × 1.02 g/mL
Density of cooking oil ≈ 0.800 g/mL
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Which element is represented by the atomic model below
A. Calcium
B. Neon
C. Oxygen
D. Helium
Answer:
b
Explanation:
because f its electronic configuration 2:8 indicating that it has 8 electrons in its outer most energy level
which component acts a platform on which an application software runs.
Answer:
System software acts as a platform on which an application software program runs.
A boy is moving a stone in a horizontal circle by mean of a thread attached to ut. The length if the threads us 1 m and the weight of the stone is 0.02 kg . The maximum tension of the thread can withstand us 1 ×10 ^-4 N. The boy is gradually increasing the speed if rotation. At what speed if the stone does the thread break ?
Answer:
Explanation:
This is a centripetal force problem where tension supplies the centripetal force needed to keep the stone moving in a circular manner. That formula for that is
\(F_c=T=\frac{mv^2}{r}\) and filling in what we know:
\(1*10^{-4}=\frac{.02v^2}{1}\) and solve that for v:
\(v=\sqrt{\frac{1*10^{-4}}{.02} }\) which gives us a velocity of .07 m/s. Anything greater than this will break the string.
A tennis ball is dropped from 1.77 m above
the ground. It rebounds to a height of 1.05 m.
With what velocity does it hit the ground?
The acceleration of gravity is 9.8 m/s2. (Let
down be negative.)
Answer in units of m/s.
Answer:
5.89 m/s
Explanation:
Given:
Δy = 1.77 m
v₀ = 0 m/s
a = 9.8 m/s²
Find: v
v² = v₀² + 2aΔy
v² = (0 m/s)² + 2 (9.8 m/s²) (1.77 m)
v = 5.89 m/s
How can Newton’s Laws be used to explain how and why things move?
Answer:Newton used these laws to explain and explore the motion of physical objects and systems, Newton's three laws are: If an object experiences no net force, its velocity will remain constant. The object is either at rest and the velocity is zero or it moves in a straight line with a constant speed.
Explanation:
A plane flying at an altitude of 33,000 feet at a speed of 630 miles per hour releases a bomb. Find the tangential and normal components of acceleration acting on the bomb.
Ignoring air resistance . . .
After the bomb is released, tangential (horizontal) acceleration is zero,, normal (vertical) acceleration is 9.8 m/s^2 down (gravity).
elastic collisions in one dimension: a 2.3-kg object traveling at 6.1 m/s collides head-on with a 3.5-kg object traveling in the opposite direction at 4.8 m/s. if the collision is perfectly elastic, what is the final speed of the 2.3-kg object?
The final speed of the 2.3-kg object is 3.47 m/s. In an elastic collision, both momentum and kinetic energy are conserved. We can use these conservation principles to solve for the final speed of the 2.3-kg object.
First, we'll need to calculate the initial momentum of each object:
p1 = m1v1 = (2.3 kg)(6.1 m/s) = 14.03 kg m/s
p2 = m2v2 = (3.5 kg)(-4.8 m/s) = -16.8 kg m/s
The negative sign for p2 indicates that the object is moving in the opposite direction.
The total initial momentum of the system is:
p1 + p2 = -2.77 kg m/s
Next, we'll use conservation of momentum to find the final velocity of the system:
p1 + p2 = p1' + p2'
where p1' and p2' are the final momenta of each object. Since the objects are moving in opposite directions, their momenta have opposite signs:
p1' = m1v1'
p2' = m2v2'
We can solve for v1' and v2' in terms of the initial velocities and masses:
v1' = ((m1 - m2)/(m1 + m2))v1 + (2m2/(m1 + m2))v2
v2' = (2m1/(m1 + m2))v1 - ((m1 - m2)/(m1 + m2))v2
Plugging in the given values, we get:
v1' = (-0.6 m/s)
v2' = (2.87 m/s)
The final velocity of the 2.3-kg object is positive, indicating that it is moving in the same direction as its initial velocity. Therefore, the final speed of the object is:
v1' = 3.47 m/s
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what is the electron domain and molecular geometries of scl2?
The electron domain and molecular geometries of SCl2 are given as follows: Electron Domain Geometry :The electron domain geometry of SCl2 is trigonal bipyramidal.
This is due to the presence of two bonded atoms and one lone pair around the sulfur atom.
The two bonded atoms and the lone pair of electrons are found in the axial positions of the trigonal bipyramidal geometry.
The geometry of SCl2 is a result of VSEPR theory.
Molecular Geometry: The molecular geometry of SCl2 is bent or V-shaped.
The bond angles in the molecule are approximately 103° due to the presence of a lone pair of electrons.
The bond angle of the two bonded atoms in the axial position is about 180°.
The molecular geometry of SCl2 is determined by the number of bonding groups around the sulfur atom.
A brief note on SCl2:Sulfur dichloride (SCl2) is a colorless, fuming gas with a rotten-egg odor.
It is used as a chemical intermediate in the production of other chemicals.
The chemical structure of SCl2 comprises a sulfur atom surrounded by two chlorine atoms.
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