Answer:
200 Volts
Explanation:
V = I x R
I = 2A
R = 100 Ohms
V = 2 x 100
V = 200
Can someone help me with this please!!!
Answer:
B. 10 m
Explanation:
f = v/λ = (20 m/s)λ / (5 m) = 4 Hz original frequency
1/2(4 Hz) = 2 Hz half the original frequency
(20 m/s) / λ = 2 Hz
λ = (20 m/s) / (2 Hz) = 10 m
The second wavelength would increase to 10 m
Q.7. For a system with a transfer function of G(s)=- co² s² +2a+w² if the natural frequency is 0.5 and the damping ratio is 1.3, which of the following statements is correct regarding the unit step response of the system?
O A) Damped
O B) Undamped
O C) Underdamped
O D) Crittically Damped
O E) Overdamped
The system described by the transfer function G(s) = -co² s² + 2a + w², with a damping ratio of 1.3 and a natural frequency of 0.5, has an overdamped unit step response. So, the correct option is (E)
The transfer function of the system is given as G(s) = -co² s² + 2a + w², where co represents the damping ratio, a represents an arbitrary constant, and w represents the natural frequency of the system. We are given that the natural frequency is 0.5 and the damping ratio is 1.3.
To determine the type of unit step response, we need to analyze the damping ratio (co) in relation to the critical damping value (co_critical).
The critical damping ratio (co_critical) is defined as the value where the system is on the threshold between being overdamped and underdamped. It is given by the formula co_critical = 2 * sqrt(a * w²).
In our case, the natural frequency (w) is 0.5, so we can calculate co_critical as follows: co_critical = 2 * sqrt(a * 0.5²).
Since the damping ratio (co) is given as 1.3, we can compare it with co_critical to determine the type of unit step response.
If co > co_critical, the system is considered overdamped (Option E).
If co = co_critical, the system is considered critically damped (Option D).
If co < co_critical, the system is considered underdamped (Option C).
Based on the given values, we can determine that the system is overdamped (Option E) because the damping ratio (1.3) is greater than the critical damping ratio.
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how many tries did it take to invent the lightbulb?
If two similar large plates each of area having surface charge density is +a and -b are separated by a distance d in air find the expression for the potential difference and capacitance between them
Answer:
a. V = (a - b)d/2ε₀ b. 2ε₀A/d
Explanation:
a. The potential difference between the plates
Using Gauss' law, we first find the electric field between the plates
ε₀∫E.dA = Q where Q = charge enclosed, E = electric field
Now Q = [a +(-b)]A = (a - b)A where + a and -b are the surface charge densities of the plates and A is the area of the plates.
ε₀∫E.dA = Q
ε₀∫EdAcos0 + ε₀∫EdAcos0 = (a - b)A
ε₀E∫dA + ε₀E∫dA = (a -b)A
ε₀EA + ε₀EA = (a -b)A
2ε₀EA = (a -b)A
E = (a - b)/2ε₀
We now find the potential difference, V between the plates from
V = ∫E.dl
V =E∫dl
V = Ed where ∫dl = d the distance between the plates.
V = (a - b)d/2ε₀
b. The capacitance between them
Capacitance C = Q/V
= (a - b)A ÷ (a - b)d/2ε₀
= 2ε₀A/d
How powerful is an engine that can do 400 J of work in 10 seconds?
(Provide your answer in both "Watts" and "horsepower".)
Answer:
\(P=40 \ W\)
Conceptual:
What is work?Work is simply the transfer of work over a displacement. Work is a Newton-meter which is called a Joule, J. Work can be calculated using the following formulas.\(\boxed{\left\begin{array}{ccc}\text{\underline{Equations for Work:}}\\W=F \Delta rcos(\theta) \ \text{(Constant} \ \vec F) \\W= \int\limits^{r_2}_{r_1} {Fcos(\theta)} \, dr \ \text{(Varible} \ \vec F) \end{array}\right }\)
The angle "θ" is the angle between the force applied and the direction of displacement.
What is power?Power is the amount work done per second, which is a J/s, and this is clumped together to create a Watt, W. Power can be calculated using the following formula.\(\boxed{\left\begin{array}{ccc}\text{\underline{Formula for Power:}}\\\\P=\frac{W}{t} \end{array}\right}\)
Explanation:
Given that an engine does 400 J of work in 10 seconds. Find the power of the engine.
\(W=400 \ J\\t=10 \ s\)
Plug these values into the formula for power.
\(P=\frac{W}{t} \\\\\Longrightarrow P=\frac{400}{10}\\\\\therefore \boxed{P=40 \ W}\)
Thus, the engines power is calculated.
On the way to work in the morning, a man drives five miles east to a gas station before heading another ten miles north to his office. Assuming he travels directly from work at the end of the day, what is the magnitude of the resultant displacement ‘C’?
The separation between two places of the an object in motion is known as displacement.Therefore, it depends on both the starting position and the ending position.Displacement is also the shortest distance between the initial and ultimate places.
How can the length traveled from position function be determined?We may determine the overall distance traveled from t = a to t = b by a body with location function s (t) when it moves along a coordinates line without changing direction.To get the overall distance traveled if the body changes course more than once throughout the journey, we must integrate the body's velocity |v (t)|.
10 meters: What does that mean?Greek prefixes are applied to units bigger than meters:A dekameter was 10 meters; the prefix deka- indicates "ten."Hectometers measure distances in units of 100 meters.A km is 1,000 meters, and the prefix kilo- denotes 1,000.
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11. A man lifts a weight of 300 N through a
vertical height of 2 m in 6 seconds. What
power does he develop?
Explanation:
Weight=force=300N
height=2m
time=6seconds
power=?
now,
power (p)=f×h÷t
power=300×2÷6
power=100w
therefore,A man develops 100 watt power in 6 seconds.
The name of the Sl unit for force is the ___?
A. Joule
B. Newton
C.Watt
Answer:
the name of the SI unit for force is the newton
Answer:
newton
Explanation:
don't have explanation
but I know this is the answer
What is the momentum of a 40-kg object traveling at 33 m/s?
\(\\ \tt\longmapsto Momentum=mv\)
\(\\ \tt\longmapsto Momentum=(40)(33)\)
\(\\ \tt\longmapsto Momentum=1320kgm/s\)
\(\large{\purple{\underline{\underline{\sf{\pink{ANSWER-}}}}}}\)
Let us classify the given data first,
Mass (m) = 40kg Velocity (v) = 33m/s Momentum (m) = ?The standard way for calculating momentum of a body is given by,
\(\Rrightarrow\tt{Momentum = mass \times velocity}\)
\(\Rrightarrow\tt{Momentum = m \times v}\)
\(\Rrightarrow\tt{Momentum = 40 \times 33}\)
\(\Rrightarrow\tt{Momentum = 1320 kgm/s}\)
Thus, the momentum acted on the body is about 1320 kgm/s\(\large{\purple{\underline{\underline{\sf{\pink{MORE \: CONCEPTS \: TO \: LEARN-}}}}}}\)
1) MOMENTUM (P) -
Momentum is simply called as the product of mass and velocity i.e (P = mv) It is a vector quantity having both it's magnitude and direction. It is measured in kgm/s.2) MASS (M) -
Mass is a fundamental quantity which is meant the total weight the body carries. It is scalar quantity having magnitude but not direction. It is measured in Kg.3) VELOCITY (V) -
Velocity is also defined as speed in simple language which is caused to Acceleration of body. It is a vector quantity having both magnitude as well as direction. It is measured in m/s.Which of the following is not the magnetic element?
a) declination
b) dip
c) horizontal component of Earth's magnetic component
d) magnetic meridian
ans. option (d) is correct
Angle of Dip (magnetic inclination), angle of declination and horizontal component of earth's magnetic field BH, are enough to determine the intensity of earth's magnetic field completely, hence they are magnetic elements of earth, vertical component of earth's magnetic field BV is not a earth's magnetic element.
A stone propelled from a catapult with a speed of 50m/s attains a height of 100m. Calculate the time of flight, the angle of projection, the range attained
To calculate the time of flight, angle of projection, and range attained, we can use equations of projectile motion. Given the initial velocity and maximum height, we can determine these values using relevant formulas.
To calculate the time of flight, angle of projection, and range attained by a stone propelled from a catapult, we can use the equations of projectile motion.
Given:
Initial velocity (u) = 50 m/s
Maximum height (h) = 100 m
Acceleration due to gravity (g) = 9.8 m/s² (assuming no air resistance)
Time of Flight:
The time of flight is the total time taken by the stone to reach its highest point and return to the same height. The formula to calculate the time of flight is:
Time of Flight (T) = 2 * (u * sin(θ)) / g
Angle of Projection:
The angle of projection refers to the angle at which the stone is launched from the catapult. The formula to calculate the angle of projection is:
Angle of Projection (θ) = arcsin((h * g) / (u²))
Range:
The range is the horizontal distance covered by the stone during its flight. The formula to calculate the range is:
Range = (u² * sin(2θ)) / g
Let's calculate these values:
Time of Flight:
T = 2 * (50 * sin(θ)) / 9.8
Angle of Projection:
θ = arcsin((100 * 9.8) / (50²))
Range:
Range = (50² * sin(2θ)) / 9.8
Please note that to accurately calculate the angle of projection and range, we need the value of θ, which can be obtained from the equation mentioned in step 2.
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The complete question is :
A small ball carrying a charge of -3.0x10^(-12) C experiences an eastward force of 8.0x10^(-6) N due to its charge when it is suspended at a certain point in space. We need to determine the magnitude and direction of the electric field at that point.
We emphasize performance over participation well before kids' bodies, minds, and interests mature. And we tend to value the child who can help win games or whose families can afford the rising fees." Take some time to think through your answer.
Answer:
Yes.
Explanation:
Yes, we emphasize performance over participation of kids in a competition which causes negative effect on kid's personality. We also prefer those children whose families can afford the fees which is our big failure. We should emphasize participation over performance and prefer those child who has the ability to win the game instead of those who can afford the fees.
Please help!! giving a lot of points
A rollercoaster cart that has a mass of 4500 kg has 67.5 kJ (kilojoules), or 67,500 J (joules), of gravitational potential
energy. What is its height above the ground?
PT.2
The same 4500 kg rollercoaster cart is moving with 63.0 kJ (kilojoules), or 63,000 J (joules), of kinetic energy at the
bottom of its biggest hill. What is its velocity?
Question 1.
mass = 4500 kgpotential energy (p.e) = 67500 Jnow, we know :
=》
\(p.e = mgh\)
=》
\(67500 = 4500 \times 10 \times h\)
=》
\(67500 = 45000 \times h\)
=》
\(h = \dfrac{67500}{45000} \)
=》
\(h = 1.5 \: m\)
note : if we take acceleration due to gravity as 9.8, then height = 1.53 m
Question 2.
mass = 4500 kgkinetic energy = 63000 jwe know,
=》
\(k.e = \dfrac{1}{2} mv {}^{2} \)
=》
\(63000 = \dfrac{1}{2} \times 4500 \times {v}^{2} \)
=》
\( {v}^{2} = \dfrac{63000 \times 2}{4500} \)
=》
\( {v}^{2} = 28\)
=》
\(v = \sqrt{28} \)
=》
\(v = 2 \sqrt{7} \: \: ms {}^{ - 1} \)
or
=》
\(5.29 \: \: ms {}^{ - 1} \)
A cannonball is shot up in the air with a vertical speed of 24 miles what is the cannon balls vertical speed just before it hits the ground?
Answer:
I think it will back towards the earth because earth gravitional field will attract to Wards
How do you find time with current and charge
\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)
Actually Welcome to the Concept of the Current Electricity .
Since we know that, Current is Charge per unit time.
so we get as,
Q = I*t
here, Q = charge, I = current, t = time.
How do charging and discharging compare? How can charging go unnoticed,
but discharging is often accompanied by a shock?
I need helpppp :((((((
Answer: c. The electric force increases
Explanation:
If the distance between two charged particles decreases, the electric force between them increases.
According to Coulomb's Law, the electric force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. Mathematically, the equation can be represented as:
F = k * (q1 * q2) / r^2
Where:
F represents the electric force between the particles.
k is the electrostatic constant.
q1 and q2 are the charges of the particles.
r is the distance between the particles.
As the distance (r) between the particles decreases, the denominator of the equation (r^2) becomes smaller, causing the overall electric force (F) to increase. Conversely, if the distance between the charged particles increases, the electric force between them decreases. This inverse relationship between the distance and electric force is a fundamental characteristic of the electrostatic interaction between charged objects.
When energy is removed from a gas,____ occurs.
A. Sublimation
B. Melting
C. Evaporation
D. Condensation
Answer:
the is answer condensation
Explanation:
I say condensation because it's like a gas
7. Our state of mind affects how we observe our surroundings. What
mental state is the best for observing?
I
a) happy
c) nervous
b) relaxed d) excited
Explain whether a chemical reaction has occurred for each combination. Include the evidence you used to reach your conclusion
A chemical reaction has occurred if for each combination any of the following is observed:
release or absorption of a large amount of heatproduction of a new product such as gasa color change or the production of gasWhat is a chemical reaction?In a chemical reaction, one or more reactants are changed into one or more products, which are then changed back into one or more reactants.
Chemical elements or chemical compounds make up substances. In a chemical reaction, the atoms that make up the reactants are rearranged to produce various products.
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Which describes the role of the muscular system during physical activity?
Select all that apply.
1: It allows for movement.
2: It controls the breathing rate.
3: It forces venous blood to return to the heart.
4: It controls the heart rate.
Answer:
1.It allows for movement.
2.t controls the breathing rate.
4. It controls the heart rate.
Explanation:
Air that is not saturated will cool or heat at a rate of __________________ as it rises or descends, respectively
Air that is not saturated will cool or heat at a rate of 10 degrees C/1000 meters as it rises or descends, respectively
The rate of the change in temperature which is observed while moving upward in the earth's atmosphere with elevation. It can be positive, negative and zero when the temperature decreases, increases or is constant with the elevation respectively.
For the atmosphere, the drop in temperature of rising air that is unsaturated air is about 10 degrees C/1000 meters (5.5 °F per 1000 feet) altitude.
That means if a there occur a rise of 1000 m , then the temperature of that thing will decrease to 10 degrees. Every 10°C of temperature from the given temperature will decrease at every rise of 1000 m .Air that is not saturated will cool or heat at a rate of 10 degrees C/1000 meters as it rises or descends, respectively
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1. There is a group of kids playing tee ball in front of your house. If the bat is 5kg traveling with a velocity
of 8m/s, with what velocity will the 1.5 kg ball travel after it is hit by the bat?
Answer: tug vi
Explanation:
Because
Suppose Alex is navigating using a compass. She starts walking at an angle of 60° north of east and walks a total of 100 m. How far north is she from the starting point? How far east?
Answer:
\(50\:\mathrm{m\: North}\\50\sqrt{3}\:\mathrm{m\: East}\)
Explanation:
We can create a 30-60-90 triangle. The distance she walked is then the hypotenuse of the triangle, and using 30-60-90 triangle rules, we have the following:
The North leg is opposite to the \(30^{\circ}\) angle. Therefore, if we call this distance \(y_N\), we have the following:
\(\sin 30^{\circ}=\frac{y_N}{100},\\\frac{1}{2}=\frac{y_N}{100},\\y_N=\fbox{$50\:\mathrm{m}$}\).
The East leg is opposite to the \(60^{\circ}\\\) angle. If we call this distance \(x_E\), we have:
\(\sin 60^{\circ}=\frac{x_E}{100},\\\frac{\sqrt{3}}{2}=\frac{x_E}{100},\\x_E=\fbox{$50\sqrt{3}\:\mathrm{m}$}\).
What is the change in thermal energy E if the coefficent of kinetic friction between the box and floor is .4 , the distance the box moves is 17m and the force applied is 38 N?
This question can be solved using the concept of friction energy.
The thermal energy change is b "258.4 J".
The change in thermal energy will be equal to the friction energy produced during the motion of the box.
\(Change\ In\ Thermal\ Energy = E = Friction\ Energy\\\\E = \mu fd\)
where,
μ = coefficient of kinetic friction = 0.4
f = force applied = 38 N
d = distance traveled by the box = 17 m
Therefore,
\(E = (0.4)(38\ N)(17\ m)\)
E = 258.4 J
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When a television is turned on, it converts electrical energy into many other forms of energy. Choose all that correctly lists most of these forms.
Sound
Light
Heat
Electricity
Answer:
sound energy and electricity energy
Question 1 of 14 Which of the following statements describes a perfectly inelastic collision? O A. An ice hockey player picks up a trophy as he slides past it. O B. A baseball bat hits a baseball into the outfield. O C. A surfer falls off of his surfboard when a wave hits him. D. Two birds collide in midair and fly off in different directions.
Answer: A. An ice hockey player picks up a trophy as he slides past it
Explanation:
A PE X
The statement that best describes a perfectly inelastic collision is
C. A surfer falls off of his surfboard when a wave hits him.
What is collision?A collision is the interaction between two bodies in such a way that the momentum and velocity of one body gets changed due to the presence of other body. There are three types of collision-
1. Elastic collision
2. Inelastic collision
3. Perfectly inelastic collision.
In all types of collision , the momentum of the system before collision and after collision always remains same or we can say that momentum is conserved in collisions
What is elastic collisionAn elastic collision is the one in which kinetic energy is also conserved and coefficient of restitution is one. Both the bodies move separately with different velocities after elastic collision.
What is inelastic collision ?In inelastic collision there is a loss of kinetic energy and coefficient of restitution is less than one.
What is perfectly inelastic collision?In perfectly inelastic collision there is maximum loss of kinetic energy and coefficient of restitution is zero. Both the bodies stick together after collision and move with same velocity
What is coefficient of restitution ?Coefficient of restitution is the ratio of relative velocity of separation after collision to relative velocity of approach before collision.
A surfer falls of his surfboard when a wave hits him is an example of perfectly inelastic collision because in this when water hits the surfers he falls of and sticks to the water , and will also now move with the velocity of water .
So when the surfer falls off his surfboard when a wave hits him is perfectly inelastic collision.
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Object A has a mass m, object B has a mass 2m, and object C has a mass m/2 Part A Rank these objects in order of decreasing kinetic energy, given that they all have the same momentum. Rank objects from largest to smallest kinetic energy. To rank items as equivalent, overlap them.
Let's rank these objects in order of decreasing kinetic energy:
The kinetic energy of an object is given by the formula:
K.E. = (1/2) * mass * velocity^2
Given that all three objects have the same momentum, we know that:
momentum = mass * velocity
Rearranging the equation, we get:
velocity = momentum / mass
Now we can substitute this expression for velocity into the equation for kinetic energy:
K.E. = (1/2) * mass * (momentum / mass)^2
Simplifying, we get:
K.E. = (1/2) * momentum^2 / mass
Therefore, the kinetic energy of an object depends on the square of its momentum and inversely on its mass.
Using this formula, we can compare the kinetic energies of the three objects:
Object B has the largest mass, so it will have the smallest kinetic energy:
K.E. (B) = (1/2) * momentum^2 / (2m) = momentum^2 / (4m)
Object A has a mass of m, so its kinetic energy will be greater than that of object B:
K.E. (A) = (1/2) * momentum^2 / m = momentum^2 / (2m)
Object C has the smallest mass of the three, so it will have the largest kinetic energy:
K.E. (C) = (1/2) * momentum^2 / (m/2) = 2 * momentum^2 / m
Therefore, the objects ranked in order of decreasing kinetic energy are:
C > A > B
Object C has the highest kinetic energy, followed by object A, and object B has the lowest kinetic energy.
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The ___________________ ______________ (two words) is the least dense layer of the Earth.
Answer:
lithosphere
Explanation:
the least densest layer is the outer most layer
the densest layer is the inner most layer and the inner most layer is the inner core
Answer:
lithosphere
Explanation:
i took the test and i got it right
1. Gravity depends on two things. What two things does gravity depend on? 10pts
SCI
Gravity depends on the mass of objects and distance.
The more mass the more gravitational force, the more distance between two objects the less gravitational force.