a wire is 1.2 m long and .82 mm in cross sectionall area. it carries a current of 5.7 a when a 2.1 v potneital differecne is applied between its ends

The answers are 4. The distance from where the ball was kicked is 38.06 meters, 5. The speed of the ball 2.5 seconds after it was kicked is 13.82 m/s, and  6. The ball is 21.88 meters above the ground 2.5 seconds after it is kicked.

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i think photons with shorter wavelengths have larger speed.

I apologise if its incorrect.

Answer:

energy

Explanation:

Answer:

The torque is 0.31 Nm.

Explanation:

Electrical energy, E = 8400 J

time, t = 1 min

Angular speed, w = 2900 rpm = 303.53 rad/s

efficiency = 2/3 of input power

The toque is given by  

\(P =\tau w\\\\\frac{2}{3}\times \frac{E}{t}=\tau w\\\\\frac{2}{3}\times \frac{8400}{60}=\tau \times 303.53\\\\\tau =0.31 Nm\)

The change in position of an object over time is known as velocity. The thing in question is traveling correctly. Vector c has the largest magnitude of all the vectors. And as demonstrated, a half-arrow can be used to represent this vector.

Everything that is readily apparent or palpable and has a stable form. An object of study in medicine is anything, anyone, or anything to which action or thinking is focused.

A person or thing that the verb directs its action toward is called an object. A noun, pronoun, or noun phrase that is impacted by the action verb is referred to as an object. A sentence is also finished by it.

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The total distance is 105 kilometers and the total displacement is 15 kilometers east. Option C

To calculate the total distance, we add the distances traveled in each leg of the journey: 60 kilometers (from A to B) + 45 kilometers (from B back to A) = 105 kilometers.

However, displacement refers to the change in position of an object in a straight line from its starting point to its ending point. In this case, since the boat starts and ends at the same point (A), the total displacement is zero.

Hence The total distance is 105 kilometers and the total displacement is 15 kilometers east.

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Explanation:

Solution,

Internal velocity =125km

= 125×1000

= 125000m

Time = 60min

=60×60

= 3600

Average velocity = ?

we have,

Av= iv/d

=125000/3600

=1250/36

=34.72ans

I hope it will be correct.

Answer:

We are given:

m1 = 500 kg             m2 = 1500 kg

v1(initial) = x m/s       v2(initial) = 0 m/s

v1(final) = 20 m/s      v2(final) = 20m/s

According the the law of conservation of momentum:

m1v1(initial) + m2v2(initial) = m1v1(final) + m2v2(final)

Plugging the values in this formula:

(500*x) + (1500 * 0) = (500 * 20) + (1500 * 20)

500x = 20(1500 + 500)

500x = 20(2000)

x = 20 * 4

x = 80 m/s

Therefore, the car was initially moving at a velocity of 80 m/s

Answer:

When the projectile is launched straight up, there isn't a horizontal ... The initial acceleration was 9.8 m/s2 pointing up, so the acceleration at any other point should be the same.

Explanation:

Hope it helped =)

The maximum altitude that the cannonball will reach if fired straight up at a speed of 25 m/s is; 31.86 m

According to the question;

The cannonball is fired straight up at a speed of 25 m/s

Additionally, the cannonball is fired against the force of gravity.

Consequently, the motion is in the opposite direction of the acceleration due to gravity.

From the equation of motion;

At the maximum altitude, V = 0.

The maximum altitude that it will reach is;

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Answer:

\(4.77\ \text{A}\)

Explanation:

F = Magnetic force = 4.11 N

\(I_n\) = Net current

\(I_2\) = Current in one of the wires = 7.68 A

B = Magnetic field = 0.59 T

\(\theta\) = Angle between current and magnetic field = \(65^{\circ}\)

\(l\) = Length of wires = 2.64 m

\(I\) = Current in the other wire

Magnetic force is given by

\(F=I_nlB\sin\theta\\\Rightarrow I_n=\dfrac{F}{lB\sin\theta}\\\Rightarrow I_n=\dfrac{4.11}{2.64\times 0.59 \sin65^{\circ}}\\\Rightarrow I_n=2.91\ \text{A}\)

Net current is given by

\(I_n=I_2-I\\\Rightarrow I=I_2-I_n\\\Rightarrow I=7.68-2.91\\\Rightarrow I=4.77\ \text{A}\)

The current I is \(4.77\ \text{A}\).

Answer:

it would be the cord will have the most energy at the moment.

Explanation:

...

My family car has a tank size of 19 gallons, and it is fueled twice a week at about 8 gallons each time. It's yearly carbon emission is about 16,254 pounds per year.

To estimate the weekly gasoline consumption, we multiply the number of refills (2) by the amount of gasoline added each time (8 gallons):

Therefore weekly gasoline consumption 2 refills/week at 8 gallons per refill = 16 gallons/week

c. The emission factor for carbon dioxide is approximately 19.55 pounds per gallon.

Therefore, to obtain the weekly emissions,

Multiply the weekly gasoline consumption 16 gallons by the emission factor of carbon dioxide 19.55 pounds per gallon.

Weekly carbon dioxide emissions is 16 gallons/week * 19.55 pounds/gallon

= 312.8 pounds/week

Monthly emissions: Multiply the weekly emissions 312.8 pounds by the number of weeks in a month approximately 4.35) to get the monthly carbon dioxide emissions

Monthly carbon dioxide emissions is 312.8 pounds per week * 4.35 weeks per month

≈ 1,359 pounds/month

Yearly emissions: Multiply the weekly emissions 312.8 pounds by the number of weeks in a year approximately 52 to get the yearly carbon dioxide emissions.

Yearly carbon dioxide emissions is 312.8 pounds per week * 52 weeks per year

≈ 16,254 pounds/year

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Answer:

Use 2>60n to get 19>089

Explanation:

Explanation:

In the given question, the two metal spheres were hanged with the nylon thread.

When these two spheres were brought close together, they attracted each other. The attraction between these spheres is the result of the opposite charges between them.

The possible ways by which these two metal spheres can be charged are by induction that is touching the metal or by rubbing them.

During induction, the same charges are transferred to each sphere. In this case, either both the spheres will be negatively charged or positively charged.

It is not possible that after the sphere touch each other they will cling together because the same charge repels each other and during touching, if one sphere is neutral, then the charged one will transfer the same charge. And as we know that same charge repel each other therefore they will repel each other.

Answer:

A capacitor is formed from two square plates of edge length a and separation d, with d <

Explanation:

A capacitor is formed from two square plates of edge length a and separation d, with d <

The time taken for the ball to cover a distance of 0.23 m is 0.3 s

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

With the above formula, we can determine the time. Detail below:

From the question given above, the following data were obtained:

Speed = distance / time

0.76 = 0.23 / time

Cross multiply

0.76 × time = 0.23

Divide both side by 0.76

Time = 0.23 / 0.76

Time = 0.3 s

Thus, the time taken for the ball to cover the distance is 0.3 s

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The magnitude of the initial acceleration of the object is 4.2 m/s².

The tension in the string once the object starts moving is 13.65 N.

The magnitude of the initial acceleration of the object is calculated by applying Newton's second law of motion as follows;

F(net) = ma

m₂g - μm₁g cosθ = a(m₁ + m₂)

where;

(4.75 x 9.8) - (0.535 x 3.25 x 9.8 x cos40) = a(3.25 + 4.75)

33.5 = 8a

a = 33.5/8

a = 4.2 m/s²

The tension in the string once the object starts moving is calculated as;

T = m₁a

T = 3.25 x 4.2

T = 13.65 N

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Answer:

They established the laws of planetary motion. They explained how the Sun rises and sets. They made astronomy accessible to people who spoke Italian.

Explanation:

The average blood pressure in the brain will be higher than the average blood pressure in the feet. the average blood pressure in the brain will be lower than the average blood pressure in the feet.

When the elevator accelerates upward at \(10 ms^{-2}\), the blood pressure in the brain and feet of a person changes.

Similarly, when the elevator accelerates downward with the same acceleration, the blood pressure in the brain and feet of a person changes.

Let's discuss them one by one:Blood Pressure When Elevator Accelerates Upward at \(10 ms^{-2}\)

When the elevator accelerates upward at \(10 ms^{-2}\),  the blood pressure in the brain of a person increases, while the blood pressure in the feet of a person decreases.

This happens due to the gravitational force acting on the body.

Since the gravitational force on the head is greater than the gravitational force on the feet, the blood pressure in the brain increases while the blood pressure in the feet decreases.

Therefore, the average blood pressure in the brain will be higher than the average blood pressure in the feet.

Blood Pressure When Elevator Accelerates Downward at  \(10 ms^{-2}\) When the elevator accelerates downward at \(10 ms^{-2}\), the blood pressure in the brain of a person decreases, while the blood pressure in the feet of a person increases.

This also happens due to the gravitational force acting on the body. Since the gravitational force on the head is less than the gravitational force on the feet, the blood pressure in the brain decreases while the blood pressure in the feet increases.

Therefore, the average blood pressure in the brain will be lower than the average blood pressure in the feet.

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\(19.2\:\text{m/s}\)

Explanation:

At the top of the tree, the velocity of the pebble is purely horizontal so we can calculate it as

\(v_{y} = v_{0y} = v_0\cos 40° = (25\:\text{m/s})(0.766)\)

\(\:\:\:\:\:= 19.2\:\text{m/s}\)

The height of the tree is approximately 12.5 meters when velocity of the pebble as it passes over the top of the tree.​

Let's calculate the height of the tree step by step:

Given:

Initial velocity (v0) = 25 m/s

Launch angle (θ) = 40° above the horizontal

Time after launch (t) = 2 seconds

Acceleration due to gravity (g) = -9.8 m/s² (negative because it acts downward)

Step 1: Calculate the vertical component of the initial velocity (Vy):

Vy = v0 * sin(θ)

Vy = 25 m/s * sin(40°)

Vy ≈ 25 m/s * 0.6428 ≈ 16.07 m/s (rounded off to two decimal places)

Step 2: Calculate the vertical displacement (change in height) of the pebble after 2 seconds:

d = vot + (1/2)at²

d = (16.07 m/s) * (2 s) + (1/2) * (-9.8 m/s²) * (2 s)²

d ≈ 32.14 m - 19.6 m

d ≈ 12.54 m (rounded off to two decimal places)

Step 3: The height of the tree is equal to the vertical displacement of the pebble:

Height of the tree ≈ 12.54 m ≈ 12.5 m (rounded off to one decimal place)

The height of the tree is approximately 12.5 meters.

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The mass of the picture is approximately 5.19 kilograms.

The deformation in this case is called shear deformation, a type of deformation that occurs when parallel internal surfaces slide past one another. It is caused by shear stress in the structure. The shear stress (τ) is the force (F) applied divided by the cross-sectional area (A) of the nail. The shear strain (γ) is the displacement (Δx) divided by the original length (L0).

The relationship between shear stress and shear strain is given by the shear modulus (G) in the formula:

τ = G * γ

To find the weight of the picture, we need to calculate the shear stress first:

The cross-sectional area A of the nail is given by the formula for the area of a circle:

A = πr² = π(d/2)² = π(0.0015 m / 2)² = 1.767 x 10^-6 m².

The shear strain γ is given by:

γ = Δx / L0 = (1.80 x 10^-6 m) / (5 x 10^-3 m) = 0.36.

The shear stress τ can now be calculated by rearranging the formula:

τ = G * γ

=> τ = (80 x 10^9 N/m²) * 0.36 = 28.8 x 10^9 N/m²

The force F on the nail is equal to the weight w of the picture, and it can be calculated from the shear stress:

τ = F / A

=> F = τ * A = (28.8 x 10^9 N/m²) * (1.767 x 10^-6 m²) = 50.89 N.

Since weight w = m * g, where m is mass and g is the acceleration due to gravity (approximately 9.81 m/s²), we can find the mass m:

m = w / g = (50.89 N) / (9.81 m/s²) = 5.19 kg.

So, the mass of the picture is approximately 5.19 kilograms.

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The product of pressure and volume (PV) has the same SI units as work (Joules). For path A: work done = 100 J; for path B: work done = 250 J; for path C: work done = 350 J.

The product of pressure and volume, PV, has the same SI units as work, which is joules. This is because work is defined as the energy transferred when a force is applied over a distance, and pressure times volume represents the energy required to change the volume of a gas under constant pressure.

The work done by the gas is given by the area under the pressure-volume curve. For path A, the work done is 50 J, for path B it is 62.5 J, and for path C it is 75 J. This illustrates that the work done by a gas is dependent on the path taken during the change in pressure and volume, and not just the initial and final states.

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a. The value of t is 5 seconds.

b. The maximum velocity of the particle is 20 m/s.

c. The distance traveled with uniform velocity is 50 meters.

From the graph, we can see that the velocity (V) decreases linearly with time (t) until it reaches zero at t = 10 seconds. After that, the velocity increases linearly until t = 20 seconds.

a) We can use the equation of motion:

V = U + at,

0 = 20 + (-4)t,

-4t = -20,

t = 5 seconds.

Therefore, the value of t is 5 seconds.

b) From the graph, we can see that the maximum velocity occurs at t = 20 seconds, where the velocity is 20 m/s. This is the maximum velocity during the journey. Therefore, the maximum velocity of the particle is 20 m/s.

c) The distance traveled with uniform velocity: During the acceleration phase (0 seconds to 5 seconds):

We can calculate the distance using the equation:

d = (U + V) * t / 2,

d = (0 + 20) * 5 / 2,

d = 50 meters.

Therefore, the distance traveled with uniform velocity is 50 meters.

Overall, the particle travels a total distance of 50 meters with uniform velocity during the motion.

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The stretch of the spring is proportional to the weight of the mass hung from it. Since the spring stretches by 5.9 cm when a 1.6 kg mass is hung from it, we can use this information to find the stretch when a 2.1 kg mass is hung from it.

The stretch of the spring is given by:

stretch = (mass x gravity x length) / (spring constant)

where mass is the mass hung from the spring, gravity is the acceleration due to gravity (9.81 m/s^2), length is the stretch of the spring, and the spring constant is a measure of the stiffness of the spring (measured in N/m).

We can rearrange this equation to solve for the stretch of the spring:

stretch = (mass x gravity x length) / (spring constant)

length = (spring constant x stretch) / (mass x gravity)

Substituting the given values, we get:

length = (spring constant x 0.059 m) / (1.6 kg x 9.81 m/s^2)

Simplifying, we get:

length = 0.236 m

Therefore, the stretch of the spring when a 2.1 kg mass is hung from it is 0.236 m.

Answer: the answer is d

Explanation:

The total charge in the circuit is 240 microcoulombs.

To calculate the total charge in a series circuit with capacitors, we need to use the formula Q = CV, where Q represents the charge, C is the capacitance, and V is the voltage.

In this case, we have three capacitors connected in series with capacitances of 4 μF, 3 μF, and 2 μF, respectively. The voltage across the circuit is 260 V.

To find the total capacitance (C_total) in a series circuit, we use the reciprocal rule: 1/C_total = 1/C1 + 1/C2 + 1/C3. Plugging in the values, we get 1/C_total = 1/4 + 1/3 + 1/2.

Simplifying this equation gives us 1/C_total = (3 + 4 + 6)/12 = 13/12. Taking the reciprocal, we find C_total = 12/13 μF.

Now, we can calculate the total charge (Q_total) using Q = C_total × V. Substituting the values, we get Q_total = (12/13) μF × 260 V.

Calculating the numerical value, Q_total = (12/13) × 260 = 240 μC (microcoulombs).
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Answer:

5 m/s

Explanation:

We are given that 9000 kg of water flows through the pipe in 1 minute. Mass flow rate = mass/time

So, mass flow rate = 9000 kg / 1 minute = 150 kg/s

We know the cross sectional area of the pipe is 0.3 m2. From continuity equation, mass flow rate = density * area * velocity

So, 150 = 1000 * 0.3 * v (Density of water is approximately 1000 kg/m3)

Solving for v (velocity):

v = 150/(1000*0.3) = 5 m/s

Therefore, the speed of water in the pipe is 5 m/s.

The electron number cannot be used instead because electrons can be removed from or added to an atom (option C)

The element of an atom is determined by its proton count, while the electron count can exhibit variability. Take, for instance, a sodium atom, which encompasses 11 protons and 11 electrons. However, it has the capacity to relinquish one electron, transforming into a sodium ion housing only 10 electrons.

This occurs due to the relatively loose binding of electrons to the nucleus, enabling their removal through the influence of an electric field or alternative mechanisms.

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Answer:

Theres no given?

Explanation:

Well, whatever.

I observed the shift of their sunset time.

Examples like:

January to June = their sunset time increased while

July to December = their sunset time decreased

\(\huge\underline{\underline{\boxed{{ \mathbb{SOLUTION:}}}}}\)

\(\leadsto\) Total internal reflection occurs when a ray of light is traveling through a medium and, when that medium changes, it does not refract into the second medium but instead it reflects back into the first medium.

By Snell's law, we know that

\(\longrightarrow \sf{n_1 sin \emptyset_1 = n_2 sin \emptyset_2}\)

If this happens, then \(\sf{n_2 \angle n_1}\), and the ray does not lose intensity due to refraction.

\(\huge\underline{\underline{\boxed{\mathbb{ANSWER:}}}}\)

\(\large \bm{ A.}\) A ray of light has the same intensity both entering and exiting a fiber optic cable.