Q2: The RMS potential difference of an AC household outlet is 117 v.
a) What is the maximum potential difference across a lamp connected to the outlet?
b) If the RMS current through the lamp is 5.5 A, what is the lamp's maximum current?

Answer:

B. 24000 kg-m/s

Explanation:

Momentum equation: p = mv

p = 800 kg * 30 m/s = 24000 kg-m/s

Answer:drfdcfrfvgtgy6hbhhbhyg vcfrfr5tgvcfrtg vcdftghegthetrgbdgtthethe3thet

Explanation:

Sdwerftyrujtnyhbvcrdefgswthyujdehrtgfyhrjfuygtdhjueyrtgehwu3y4tgrehjwheyrgdhbnsjhfgvbdnhgfdhjsdehbrvbdensdvfgreyhsdgrftyhedggrfdhsgfv

The uncertainty in the density is 1.71 g/cm^3 (±0.03)

The density of a body is the ratio of the mass to the volume of the copper sphere. We have been given the mass of the copper sphere and its volume thus we can now find the density of the sphere.

Mass = 112.25 g

Volume = 4/3 π r^3 =  4/3 * 3.142 * (2.50)^3 = 65.5cm^3

Density = 112.25 g/65.5cm^3 = 1.71 g/cm^3

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Loose objects on the dashboard slide to the right when the car turns suddenly to the left because they have inertia

When loose objects are placed on the dashboard of a car, they may slide to the right when the car turns suddenly to the left. objects at rest tend to stay at rest and objects in motion tend to stay in motion. As the car turns left, there is a force pushing the loose objects to the right, and gravity alone is not strong enough to hold them in place. Therefore, the objects slide to the right due to their inertia. To prevent this, it's best to secure loose objects on the dashboard or remove them altogether to ensure safety while driving.

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Answer:

The answer is C. The explanation is below.

To estimate the speed of the electrons after being accelerated through a potential difference of 22 kV, we can use the principle of energy conservation. The potential difference provides electrical potential energy to the electrons, which is converted into kinetic energy as they gain speed.

The kinetic energy gained by the electrons can be calculated using the formula:

KE = qV

where KE is the kinetic energy, q is the charge of an electron (approximately 1.6 x 10^-19 C), and V is the potential difference.

Given:

Potential difference, V = 22 kV = 22,000 V

Charge of an electron, q = 1.6 x 10^-19 C

Substituting the values into the formula, we have:

KE = (1.6 x 10^-19 C) x (22,000 V)

KE ≈ 3.52 x 10^-15 J

Now, we can equate the kinetic energy gained by the electrons to their kinetic energy:

KE = (1/2)mv^2

where m is the mass of an electron (approximately 9.11 x 10^-31 kg) and v is the velocity (speed) of the electrons.

Rearranging the equation, we can solve for v:

v = √((2KE) / m)

Substituting the values, we get:

v = √((2 x 3.52 x 10^-15 J) / (9.11 x 10^-31 kg))

v ≈ 6.06 x 10^6 m/s

Therefore, the estimated speed of the electrons after being accelerated through a potential difference of 22 kV is approximately 6.06 x 10^6 m/s.

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Ocean waves usually result from wind and can travel hundreds of miles before they reach the shore

The most frequent cause of waves is wind. Surface waves, often known as wind-driven waves, are produced when surface water and wind collide. A wave crest is produced when wind continuously disturbs an ocean or lake's surface.

Water moves in a circular motion as a result of waves being created by energy travelling through it. During a wave's passage, water atoms only move in a very narrow circle. The energy for the waves comes from the wind. Ocean waves are pushed by the wind, and the energy is then released along coasts.

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Answer:

9.4

Explanation:

magnitude is the sum of the squares.

\(\sqrt{5^2+8^2} =9.4339\\\)

If you are given horizontal and vertical components, treat those as the rise and run of a triangle, the rise of 8 with a run of 5 and you want to find the hypotenuse.

How do you find the long side of a triangle?  

The reading on the scale is 882.6 N when the elevator accelerates upwards with an acceleration of 4.90 m/s².

Given that the mass of a person is 60.0 kg and the elevator accelerates upwards with an acceleration of 4.90 m/s², we have to determine the reading on the scale.

Let F be the force exerted by the scale on the person. Then, by Newton's second law of motion, the net force acting on the person is Fnet= m * a

where m = 60.0 kg is the mass of the person and a = 4.90 m/s² is the acceleration of the elevator. Hence, the net force acting on the person is given by;

Fnet = 60.0 kg * 4.90 m/s²

Fnet = 294.0 N

Therefore, the scale reading is equal to the force exerted by the scale on the person. Since the elevator is accelerating upwards, the force exerted by the scale on the person is greater than the weight of the person, which is the force of gravity acting on the person.

The force of gravity acting on the person is given by;

Fg = m * g, where g = 9.81 m/s² is the acceleration due to gravity. Hence, the force of gravity acting on the person is given by;

Fg = 60.0 kg * 9.81 m/s²Fg = 588.6 N

Therefore, the scale reading is given by the sum of the force of gravity acting on the person and the net force acting on the person;

F = Fg + Fnet

F = 588.6 N + 294.0 N

F = 882.6 N

Thus, the reading on the scale is 882.6 N when the elevator accelerates upwards with an acceleration of 4.90 m/s².

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Answer:

630 km.

Explanation:

To obtain the total distance travelled by David, we shall calculate the distance travelled in each, then sum them together.

Case 1:

Speed 1 (S₁) = 65 km / hour

Time 1 (t₁) = 6 hours

Distance 1 (d₁) =?

Speed = Distance /time

S₁ = d₁ / t₁

65 = d₁ / 6

Cross multiply

d₁ = 65 × 6

d₁ = 390 Km

Case 2:

Speed 2 (S₂) = 80 km / hour

Time 2 (t₂ ) = 3 hours

Distance 2 (d₂) =?

Speed = Distance /time

S₂ = d₂ / t₂

80 = d₂ / 3

Cross multiply

d₂ = 80 × 3

d₂ = 240 Km

Finally, we obtained the total distance travelled by David as follow

Distance 1 (d₁) = 390 Km

Distance 2 (d₂) = 240 Km

Total Distance travelled (dₜ) =?

Total distance = distance 1 + distance 2

dₜ = d₁ + d₂

dₜ = 390 + 240

dₜ = 630 km

Therefore, the total distance travelled by David is 630 km

The velocity of the gorilla of mass 50 kg, sitting 4 meters above the ground just before hitting the ground is 8.85 m/s.

Velocity is the rate of change of displacement.

To calculate the velocity of the gorilla, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1 and solve for v

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The elastic potential energy stored in the spring having a spring constant of 50.0 N/m is 16 J

We'll begin by obtaining the extension of the spring. This is given below:

Extension = New length - initial length

Extension = 0.90 - 0.10

Extension = 0.80 m

Finally, we shall determine the potential energy stored by the spring. Details below

PE = ½Ke²

PE = ½ × 50 × 0.8²

PE = 25 × 0.64

PE = 16 J

Thus, from the above calculations, we can conclude that the potential energy stored is 16 J

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Answer:

The runner's acceleration was \(1\ m/s^2\)

Explanation:

Constant Acceleration Motion

It's a type of motion in which the velocity of an object changes by an equal amount in every equal period of time.

Being a the constant acceleration, vo the initial speed, vf the final speed, and t the time, the following relation applies:

\(v_f=v_o+at\)

Solving for a:

\(\displaystyle a=\frac{v_f-v_o}{t}\)

The runner speeds up from vo=5 m/s to vf=9 m/s in t=4 seconds, thus:

\(\displaystyle a=\frac{9-5}{4}\)

\(\displaystyle a=\frac{4}{4}=1\)

The runner's acceleration was \(1\ m/s^2\)

The cradle behaves different due to higher force of gravity.

The Newton’s Cradle behave differently on a large planet such as Jupiter because of the higher gravitational force as compared to the earth. We know that the ball in the cradle that we moves upward comes back to hit the other ball due to force of gravity so if the gravity is increased than the ball on the other end did not move on a certain height due to strong force of attraction and may be the motion of the Newton’s Cradle stops or very slow. The gravity of Jupiter is 2.4 times higher than earth.

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Answer:

Tstring = 343.35 [N].

Explanation:

Since the block is in equilibrium, we can say that the sum of the forces on the Y-axis or vertical is equal to zero.

∑Fy = 0

\(T_{string}-W=0\)

where:

Tstring = tension of the string [N]

W = weight of the block [N]

And the weight can be calculated multiplying the mass of the block by the gravity acceleration.

Now replacing:

\(T_{string}=m*g\\T_{string}=35*9.81\\T_{string}=343.35[N]\)

Answer: When a gas is in a smaller volume, the molecules are more confined and bump into the walls of the flask more, thereby exerting a greater pressure.

Explanation:

Answer:

See the answers below

Explanation:

We can solve both problems using vector sum.

a)

Let's assume the forces that help the diver dive as positive downward, and the forces that oppose upward, as negative

\(F_{resultant}=100+30-85+900\\F_{resultant}=845[N]\)

The drag force is horizontal d this way in the horizontal direction we will only have the drag force that produces the water stream.

\(F_{drag}=50[N]\)

b)

Let's assume the forces that propel the rocket upwards as positive and forces like the weight of the rocket and other elements as negative forces.

\(F_{resultant}=960+7080-7700\\F_{resultant}=340 [kN]\)

The total travelled distance is • Speed, time and distance is one of the most common and important topics in the Mathematics or Quant section.

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.

For instance, 50 km/hr west denotes the velocity of a car whereas 50 km/hr (31 mph) denotes the speed at which it is moving down a route.

The average speed of an object is determined by dividing the distance traveled by the amount of time it takes the object to reach the distance.

Therefore, The total travelled distance is • Speed, time and distance is one of the most common and important topics in the Mathematics or Quant section.

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The Average speed is 42.44 km/h ,the distance between cities is 99.02kmSpeed is the rate at which something or someone is moving.

The average speed of an object can be determined if you know the distance traveled and the time it took. Distance times speed is how speed is computed. In order to compute the units for speed, you must be aware of the units for both distance and time. Given that the distance in this example is measured in metres (m) and the duration is recorded in seconds, the units will be metres per second (m/s) For the purpose of calculating the other two, we require the other two (time, speed, or distance). To determine how long it will take to complete a journey, for example, information about the distance and speed of travel is needed.

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Answer:

32.32857

Explanation:

Searched on the web

Answer:

235.6m/s

Explanation:

you have to use one of the kinematic formulas the best that suits the question given in this case you can use v=u+at.since the time, acceleration and initial velocity have been given in the question

v=116+(9.2)13^2

v=116+119.6

=235.6m/s

I hope this helps

Answer:

the answer is 32,400

Explanation:

I looked it up for you

The average speed denotes the average rate of speed over the extent of a trip. The average speed of a car which travels 270 meters in 30 seconds is 9m/s.

The average speed can be defined as the ratio of the total distance travelled by an object to the total time taken. It is a scalar quantity. It is represented by the magnitude and does not have direction. Its SI unit is m/s.

The average speed of an object help us to calculate the rate of travel time and the distance. The average speed of an object when it covers the same distance at two different speed, X and Y is:

Average speed = 2XY/ X+Y

The equation used here to calculate the average speed is:

Average speed = Total distance / Total time

Average speed  = 270 m / 30 s = 9 m/s

Thus the average speed is 9 m/s.

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The age of the cloth material is obtained from the calculation as  1843 years .

We know that the half life of a radioactive isotope refers to the time that is taken for only half of the number of the original radioactive isotopes that are present to remain in the sample.

We can be able to obtain the age of the cloth by looking at the amount of the radioactive carbon -14 that is still left in the sample. How do we do that? We have to turn to a formula that says;

0.693/\(t_{\frac{1}{2} }\) = 2.303/tlog (Ao/A)

\(t_{\frac{1}{2} }\) = half life of the material

t = age of the material

Ao = amount initially present

A = Amount present at time t

Then we have;

0.693/5730 = 2.303/tlog (Ao/0.8Ao)

1.21 * 10^-4 = 0.223/t

t = 0.223/1.21 * 10^-4

t = 1843 years

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The statement that describes what the hand shows is:

"When the current flows up the wire, the magnetic field flows in on the left side of the wire and out on the right side of the wire."

The induced emf in the loop as a function of time is ε(t) = a * B_a * e^(-a*t) * A.

The magnetic flux through the loop as a function of time is given by Φ = B(t) * A, where B(t) is the magnetic field and A is the area of the loop.
In this case, the magnetic field is given by B(t) = B_a * e^(-a*t), where B_a is the initial magnetic field magnitude and a is a constant.
Therefore, the magnetic flux through the loop as a function of time is Φ(t) = B_a * e^(-a*t) * A.
To find the induced electromotive force (emf) in the loop as a function of time, we use Faraday's law of electromagnetic induction, which states that the emf induced in a loop is equal to the rate of change of magnetic flux through the loop. The induced emf (ε) in the loop is given by ε = -dΦ/dt, where dΦ/dt represents the derivative of magnetic flux with respect to time.
Taking the derivative of Φ(t), we get ε(t) = -d/dt (B_a * e^(-at) * A) = a * B_a * e^(-at) * A.

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The final induced electromotive force (emf) in the loop is represented by the equation -aBₐeᵃt·A. This equation combines factors such as magnetic field strength (B), loop area (A), and exponential decay (eᵃt) to determine the emf.

The induced emf in the loop can be calculated using the formula:

emf = -d(Φ)/dt,

where emf represents the induced electromotive force, Φ is the magnetic flux through the loop, and dt is the change in time.

In this case, the magnetic field B is given as B = Bₐeᵃt, where Bₐ is a constant and a represents a constant rate of change with respect to time.

The magnetic flux Φ through the loop can be determined by integrating the magnetic field over the enclosed area S:

Φ = ∫B·dA,

where dA represents an infinitesimal area element.

To calculate the induced emf, we differentiate the magnetic flux Φ with respect to time:

d(Φ)/dt = d/dt ∫B·dA.

Since the magnetic field B is constant over the enclosed area S, it can be taken out of the integral:

d(Φ)/dt = ∫d(B·dA)/dt.

Applying the differentiation inside the integral:

d(Φ)/dt = ∫(dB/dt)·dA.

As the magnetic field B = Bₐeᵃt, differentiating with respect to time yields:

dB/dt = aBₐeᵃt.

Substituting this expression into the equation for d(Φ)/dt:

d(Φ)/dt = ∫aBₐeᵃt·dA.

Since the magnetic field B is perpendicular to the plane, the integral simplifies to:

d(Φ)/dt = aBₐeᵃt·A,

where A represents the area of the loop.

Finally, we obtain the induced emf:

emf = -d(Φ)/dt = -aBₐeᵃt·A.

In conclusion, the induced emf in the loop is given by -aBₐeᵃt·A.

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The solid sphere and the hollow sphere will have different rolling motions due to their different moments of inertia. The moment of inertia of a solid sphere is greater than that of a hollow sphere with the same mass and radius because the solid sphere has more mass distributed further from its axis of rotation.

As a result, the solid sphere will roll slower than the hollow sphere, but will have more rotational energy and be able to roll farther up the hill due to its greater inertia.

Therefore, the solid sphere will roll farther up the hill than the hollow sphere, even though they have the same mass and radius and are rolling with the same forward speed V.

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The  magnitude and direction of the force on the charge​ is -12 N opposite the electric field

To calculate the force on a charge in an electric field, we make use of the formula below.

Formula

F = E×Q .......................... Equation 1

Where:

From the question,

Given:

Substitute these values into equation 1

Note: The negative sign indicates that the force is in the direction negative of the electric field.

Hence, The  magnitude and direction of the force on the charge​ is -12 N opposite the electric field

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Answer: A edge 202694020

Explanation: