Suppose 150W of heat flows by conduction from the blood capillaries beneath the skin to the body's surface area of 1.5 m^2. If the temperature difference is 0.50 ºC, estimate the average distance of capillaries below the skin surface. Use 'mm' as your units.

To find the distance from the building where the water will hit the highest possible fire, we analyze the horizontal and vertical components of the water's motion. Using the given information, we calculate the horizontal distance using the horizontal velocity and time, and the vertical distance using the vertical velocity and time. By finding the time at which the water reaches its maximum height, we can determine the horizontal distance.

A fire hose ejects a stream of water at an angle of 35.0° above the horizontal with a speed of 25.0 m/s. To find the distance from the building where the water will hit the highest possible fire, we can analyze the horizontal and vertical components of the water's motion. The horizontal distance can be calculated using the horizontal velocity and time, while the vertical distance can be determined using the vertical velocity and time. By finding the time at which the water reaches its maximum height, we can calculate the horizontal distance.

Using the given information, we can determine that the initial horizontal velocity is 25.0 m/s * cos(35.0°) = 20.4 m/s, and the vertical velocity is 25.0 m/s * sin(35.0°) = 14.3 m/s. The time it takes for the water to reach its maximum height (where the vertical velocity becomes zero) can be found using the equation vy = v0y - gt, where vy is the vertical velocity, v0y is the initial vertical velocity, g is the acceleration due to gravity, and t is the time. Solving for t, we get t = v0y / g. Plugging in the values, we have t = 14.3 m/s / 9.8 m/s^2 = 1.46 seconds. Finally, we can find the horizontal distance by multiplying the initial horizontal velocity by the time: x = v0x * t = 20.4 m/s * 1.46 s = 29.8 m. Therefore, the fire hose should be located approximately 29.8 meters away from the building to hit the highest possible fire.

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The fire hose should be located approximately 59.8 meters from the building from the building to hit a fire at the highest point the water stream can reach.

Projectile Motion in Fire Hose Stream

To determine how far from a building a fire hose should be located to hit the highest possible fire, we need to analyze the projectile motion of the water stream ejected.

The water stream is ejected at an angle of 35.0° above the horizontal with an initial speed of 25.0 m/s. We will assume the water reaches its highest point where its vertical component of velocity becomes zero.

Step-by-Step Calculation

Answer:

7.4 x 10^-14 N

Explanation:

m = 0.012 kg, M = 0.3 kg, r = 1.8 m

Let the gravitational force be F.

F = G M m / r^2

F = (6.67 x 10^-11 x 0.3 x 0.012) / (1.8)^2

F = 7.4 x 10^-14 N

Answer:

a) 0.41 m/s

b) 0.51 m/s

Explanation:

(a)

M = total mass of wagon, rider and the rock = 93.1 kg

V = initial velocity of wagon = 0.456 m/s

m = mass of the rock = 0.292 kg

v = velocity of rock after throw = 15.4 m/s

V' = velocity of wagon after rock is thrown

Using conservation of momentum

M V = m v + (M - m) V'

(93.1) (0.456) = (0.292) (15.4) + (93.1 - 0.292) V'

V' = 0.41 m/s

b)

M = total mass of wagon, rider and the rock = 93.1 kg

V = initial velocity of wagon = 0.456 m/s

m = mass of the rock = 0.292 kg

v = velocity of rock after throw = - 15.4 m/s

V' = velocity of wagon after rock is thrown

Using conservation of momentum

M V = m v + (M - m) V'

(93.1) (0.456) = (0.292) (- 15.4) + (93.1 - 0.292) V'

V' = 0.51 m/s

Answer:

34.01 A

Explanation:

[tex]P_{heater}[/tex] = Power of the electric heater = 1430 W

[tex]P_{toaster}[/tex] = Power of the toaster = 890 W

[tex]P_{grill}[/tex] = Power of the electric grill = 1760 W

V = Voltage of the battery connected in parallel to appliances = 120 volts

Using ohm's law, current drawn by heater is given as

[tex]i_{heater} = \frac{P_{heater}}{V}[/tex]

[tex]i_{heater} = \frac{1430}{120}[/tex]

[tex]i_{heater} [/tex] = 11.92 A

Using ohm's law, current drawn by toaster is given as

[tex]i_{toaster} = \frac{P_{toaster}}{V}[/tex]

[tex]i_{toaster} = \frac{890}{120}[/tex]

[tex]i_{toaster} [/tex] = 7.42 A

Using ohm's law, current drawn by grill is given as

[tex]i_{grill} = \frac{P_{grill}}{V}[/tex]

[tex]i_{grill} = \frac{1760}{120}[/tex]

[tex]i_{grill} [/tex] = 14.67 A

Total circuit drawn is given as

[tex]i_{total} [/tex] = [tex]i_{heater} [/tex] + [tex]i_{toaster} [/tex] + [tex]i_{grill} [/tex]

[tex]i_{total} [/tex] = 11.92 + 7.42 + 14.67

[tex]i_{total} [/tex] = 34.01 A

Answer:

The coefficient of kinetic friction [tex]\mu= 0.16989[/tex]

Explanation:

From Newton's second law

[tex]\sum\overset{\rightarrow}{F}=m\cdot\overset{\rightarrow}{a}[/tex]

If the velocity is constant, that means the summation of all forces must be equal to zero. Draw the free-body diagram to obtain the sums of forces in x and y. It must include the Friction Force, in the opposite direction of the displacement, the weight ([tex]W=mg=390*9.81=3825.9N[/tex]), the Normal Force, which is the is the consequence of Newton's third law and the forces from the two workers.

The sum in y is:

[tex]\sum F_{y}=F_{N}-3825.9=0[/tex]

Solving for the [tex]F_{N}[/tex]:

[tex]F_{N}=$ $3825.\,\allowbreak9N[/tex]

The sum in x is:

[tex]\sum F_{x}=450+200-F_{f}=0[/tex]

Solving for the [tex]F_{f}[/tex]:

[tex]$F_{f}=650.0N[/tex]

The formula of the magnitude of the Friction force is

[tex]F_{f}=\mu F_{N}[/tex]

That means the coefficient of friction is:

[tex]\mu=\frac{F_{f}}{F_{N}}=\frac{650.0}{3825.\,\allowbreak9}=\allowbreak0.16989[/tex]

Answer:

Heat flow through walls in 10 hours is

[tex]Q = 6.1 \times 10^6 J[/tex]

Explanation:

Thermal conductivity of all the materials is as follows

1). Concrete = 0.8

2). Brick = 0.6

3). Fibreglass = 0.04

4). Corkboard = 0.04

Area of the wall is given as

[tex]A = (8 \times 4) = 32 m^2[/tex]

now the thermal resistance due to each wall is given as

[tex]R_1 = \frac{0.04}{0.6(32)} = 2.08 \times 10^{-3}[/tex]

[tex]R_2 = \frac{0.08}{0.8(32)} = 3.125 \times 10^{-3}[/tex]

[tex]R_3 = \frac{0.06}{0.04(32)} = 46.87 \times 10^{-3}[/tex]

[tex]R_2 = \frac{0.10}{0.04(32)} = 78.13 \times 10^{-3}[/tex]

Now total thermal resistance of all walls

[tex]R = R_1 + R_2 + R_3 + R_4[/tex]

[tex]R = (2.08 + 3.125 + 46.87 + 78.13) \times 10^{-3}[/tex]

[tex]R = 0.130[/tex]

now rate of heat transfer per second is given as

[tex]\frac{dQ}{dt} = \frac{T_1 - T_2}{R}[/tex]

[tex]Q = \frac{40 - 18}{0.130}(10 \times 3600)[/tex]

[tex]Q = 6.1 \times 10^6 J[/tex]

0.005366 seconds is the time will the current flowing in this circuit be 55.0% of the peak current.

In a simple AC circuit with a resistor connected to an AC voltage source, the current flowing through the circuit can be calculated using Ohm's law:

I(t)=ΔV(t)/R

Where: I(t) is the current at time

ΔV(t) is the instantaneous voltage at time t

R is the resistance of the resistor.

Given that the source voltage is [tex]\bigtriangleup V=\bigtriangleup V_{max}sin(2 \pi ft)[/tex], and you want to find the time  t at which the current is 55% of the peak current, you need to find the time when [tex]I(t)=0.55\times I_{peak}.[/tex]

Find the peak current [tex]I_{peak}[/tex].

The peak current corresponds to the current when the source voltage is at its peak value  [tex]\bigtriangleup V_{max}[/tex] ​ .

Using Ohm's law:

[tex]I_{peak}=\frac{\bigtriangleup V_{max}}{R}[/tex]

The time t when the current  I(t) is 55% of the peak current:

[tex]I(t)=0.55 \times I_{peak}[/tex]

Substitute the expressions for I(t) and  [tex]I_{peak}[/tex].

[tex]\frac{\bigtriangleup V(t)}{R}=0.55 \times \frac{\bigtriangleup V_{max}}{R}[/tex]

2πft=arcsin(0.55)

t=arcsin(0.55)/2πf

t= 0.5716/2×3.14×16.9

t=0.5716/106.132

t=0.0053s

Hence, at approximately 0.005366 seconds after the start of the AC cycle (or 5.366 ms 5.366ms), the current flowing in the circuit will be 55.0% of the peak current.

To learn more on Ohms law click here:

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Answer:

[tex]I_1 = 32.5 kg m^2[/tex]

Explanation:

Here as we know that total angular momentum is always conserved for child + round system

so here by angular momentum conservation we have

[tex]I_1 \omega_1 = (I_1 + I_2)\omega_2[/tex]

here we have

[tex]I_2 = mR^2[/tex] (inertia of boy)

[tex]I_2 = (34.5)(1.45^2)[/tex]

[tex]I_2 = 72.5 kg m^2[/tex]

now we have

[tex]I_1(2\pi 55) = (I_1 + 72.5)(2 \pi 17)[/tex]

[tex]I_1 = (I_1 + 72.5)(0.31)[/tex]

[tex]I_1(1 - 0.31) = 22.4[/tex]

[tex]I_1 = 32.5 kg m^2[/tex]

The total moment of inertia of the merry-go-round with the child can be calculated by considering the child as a point mass at a given distance from the axis of rotation. The decrease in the angular velocity of the merry-go-round when the child jumps on is due to the increase in the moment of inertia. The moment of inertia of the merry-go-round itself is close to the total moment of inertia because it has far more mass distributed away from the axis.

The subject is based on the physics concept of moment of inertia, which depends not only on the object's mass but also on its distribution relative to the axis of rotation. The moment of inertia initially decreases when the child, initially at rest, grabs onto the already spinning merry-go-round. This abrupt decrease in angular velocity is because of the increase in moment of inertia caused by the child.

To find the total moment of inertia (I), we first calculate the child’s moment of inertia (Ic) by considering the child as a point mass at a distance of 1.45 m from the axis of rotation. The formula for this is Ic = mR², where m is the child's mass (34.5 kg) and R is the distance from the center (1.45 m).

Then, we calculate for the angular velocity change from 55 rpm to 17 rpm. The goal is to find the moment of inertia of the merry-go-round itself, which should be close to the total moment of inertia because it has much more mass distributed away from the axis than the child does.

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Answer:

The rate of current in the solenoid  is 0.398 A/s

Explanation:

Given that,

Electric field [tex]E = 4.0\ \mu V/m[/tex]

Distance = 2.0 cm

Radius = 3.0 cm

Number of turns per unit length = 800

We need to calculate the rate of current

Using formula of electric field for solenoid

[tex]E = \dfrac{x}{2}\mu_{0}n\dfrac{dI}{dt}[/tex]

Where, x = distance

n = number of turns per unit length

E = electric field

r = radius

Put the value into the formula

[tex]4.0\times10^{-6}=\dfrac{2.0\times10^{-2}}{2}\times4\pi\times10^{-7}\times800\times\dfrac{dI}{dt}[/tex]

[tex]\dfrac{dI}{dt}=\dfrac{4.0\times10^{-6}\times2}{2.0\times10^{-2}\times4\pi\times10^{-7}\times800}[/tex]

[tex]\dfrac{dI}{dt}=0.397\ A/s[/tex]

Hence, The rate of current in the solenoid  is 0.398 A/s.

Final answer:

The magnitude of the total acceleration of the top of the racket during the serve, considering both tangential and radial components, is approximately 270.5 m/s^2.

Explanation:

To find the magnitude of the total acceleration of the top of the racket, we need to consider both tangential and radial (centripetal) acceleration components. The tangential acceleration (at) is directly provided by the angular acceleration (α), and is calculated by multiplying the angular acceleration by the radius (r), so at = α × r. Here, α = 150 rad/s2 and r = 1.30 m, giving at = 195 m/s2. The radial acceleration (ar), also known as centripetal acceleration, depends on the angular speed (ω) and the radius (r), and is calculated with the formula ar = ω2 × r. Given ω = 12.0 rad/s and r = 1.30 m, we find ar = 187.2 m/s2. Finally, the total acceleration (a) is the square root of the sum of the squares of at and ar, resulting in a = √(at2 + ar2). This gives us a = √(1952 + 187.22) m/s2, and by calculating, we find the magnitude of the total acceleration to be approximately 270.5 m/s2.

Answer and Explanation:

By measuring in millimeter we can decrease the associated error with the measurement because when we measure in smaller unit the measurement is more precise  and accurate rather than when we measure in larger unit so when we measure 325 millimeter instead of 32.5 cm then there is chance of less error produced.

The transmission axis of the second sheet makes a right angle (90 degrees) with the vertical given that no light passes through it. This is based on Malus's Law for polarization.

The phenomenon described in your question is polarization, which is a characteristic of transverse waves such as light. The sheet of polarizing material allows only the light polarized in the same direction as the sheet's axis of transmission to pass through it. Following Malus's Law for polarization, we can determine that if no light passes through the second polarizer, its transmission axis must be at a right angle (90 degrees) to the initial polarization direction, which is vertical in this case.

The Malus's Law is an equation that describe the intensity of the light after passing through a polarizer as: I = I0 cos^2 θ where I0 is the initial intensity of the light, θ is the angle between the light polarization direction and the transmission axis of the polarizer. If I = 0, then cos^2 θ = 0, which indicates that θ is 90 degrees. This concept comes under the area of wave optics in Physics.

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The transmission axis of the second sheet of polarizing material makes a 90-degree angle with the vertical because it must be perpendicular to the first sheet's axis for no light to pass through. Hence, with the first polarizer vertical, the second must be horizontal.

The question asks about the angle that the transmission axis of the second sheet of polarizing material makes with the vertical, given that no light passes through. According to the principles of light polarization, if no light passes through a second sheet of polarizing material, it means the transmission axis of the second sheet is perpendicular to the axis of the first one.

Since the first sheet polarizes light vertically, this implies the transmission axis of the second sheet must be horizontal. Therefore, as per common geometric considerations where vertical and horizontal lines are perpendicular, the angle between the vertical (first filter axis) and horizontal (second filter axis) is 90 degrees.

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Answer:

[tex]\vec \tau = 31.9 N[/tex]

Explanation:

As we know that torque due to a force is given by the formula

[tex]\vec \tau = \vec r \times \vec F[/tex]

here we know that force is exerted due to weight of the mass hold in his hand

so we have

F = mg = 59 N

Now Lever arm is the perpendicular distance on the line of action of force from the axis about which the system is rotated

so here we can say

[tex]r = Lcos\theta [/tex]

[tex]r = 0.56 cos15 = 0.54 m[/tex]

now we have

[tex]\vec \tau = (0.54)(59)[/tex]

[tex]\vec \tau = 31.9 Nm[/tex]

Answer:

0.0557 mm / s

Explanation:

r = 1.25 mm = 1.25 x 10^-3 m, i = 3.7 A, n = 8.46 x 10^28 per cubic metre,

e = 1.6 x 10^-19 C

Let vd be the drift velocity

use the formula for the current in terms of drift velocity

i = n e A vd

3.7 = 8.46 x 10^28 x 1.6 x 10^-19 x 3.14 x 1.25 x 1.25 x 10^-6 x vd

vd = 5.57 x 10^-5 m/s

vd = 0.0557 mm / s

Answer:

A) 1.2

B) 1.1

Explanation:

A)

F = force required to start the box moving = 36.0 N

m = mass of the box = 3 kg

[tex]F_{g}[/tex]  = weight of the box = mg = 3 x 9.8 = 29.4 N

[tex]F_{n}[/tex]  = normal force acting on the box by the floor

normal force acting on the box by the floor is given as

[tex]F_{n}[/tex]  = [tex]F_{g}[/tex] = 29.4

[tex]F_{s}[/tex]  = Static frictional force = F = 36.0 N

[tex]\mu _{s}[/tex] = Coefficient of static friction

Static frictional force is given as

[tex]F_{s}[/tex]  = [tex]\mu _{s}[/tex] [tex]F_{n}[/tex]

36.0  = [tex]\mu _{s}[/tex] (29.4)

[tex]\mu _{s}[/tex] = 1.2

B)

a = acceleration of the box = 0.54 m/s²

F = force applied = 36.0 N

[tex]f_{k}[/tex] = kinetic frictional force

[tex]\mu _{k}[/tex] = Coefficient of kinetic friction

force equation for the motion of the box is given as

F - [tex]f_{k}[/tex] = ma

36.0 - [tex]f_{k}[/tex] = (3) (0.54)

[tex]f_{k}[/tex] = 34.38 N

Coefficient of kinetic friction is given as

[tex]\mu _{k}=\frac{f_{k}}{F_{n}}[/tex]

[tex]\mu _{k}=\frac{34.38}{29.4}[/tex]

[tex]\mu _{k}[/tex] = 1.1

Answer:

Average speed, v = 25 m/s

Explanation:

It is given that,

Distance travelled by the object, d = 50 meters

Time taken, t = 2 seconds

Average speed is defined as the total distance divided by total time taken i.e.

[tex]v=\dfrac{d}{t}[/tex]

[tex]v=\dfrac{50\ m}{2\ s}[/tex]

v = 25 m/s

So, the sped of the object is 25 m/s. Hence, this is the required solution.

The average speed of an object that travels 50 meters in 2 seconds is calculated by dividing the distance by time, resulting in 25 m/s.

The average speed of an object is calculated by dividing the total distance travelled by the total time taken to travel that distance. In this case, the object travels 50 meters in 2 seconds, so the average speed is calculated as follows:

Average speed = Total distance \/ Total time = 50 meters \2 seconds = 25 meters per second (m/s).

Therefore, the correct answer to the question is b. 25 m/s.

Answer:

[tex]\Delta v = 4.41 \times 10^{-37} cm/s[/tex]

Explanation:

As per Heisenberg's uncertainty principle we know that

[tex]\Delta P \times \Delta x = \frac{h}{4\pi}[/tex]

so here we have

[tex]\Delta P = m\Delta v[/tex]

[tex]\Delta x = 8.54 m[/tex]

now from above equation we have

[tex]m\Delta v \times (8.54) = \frac{h}{4\pi}[/tex]

[tex]1400(\Delta v) \times (8.54) = \frac{6.626 \times 10^{-34}}{4\pi}[/tex]

[tex]\Delta v = 4.41 \times 10^{-39} m/s[/tex]

[tex]\Delta v = 4.41 \times 10^{-37} cm/s[/tex]

Answer:

The correct answer is d. tension pneumothorax.

Explanation:

The increasing build-up of air that is in the pleural space is what we call the tension pneumothorax and this happens due to the lung laceration that lets the air to flee inside the pleural space but it does not return.

Tension pneumothorax is the condition where air that enters the pleural space during inspiration but is unable to exit during expiration, causing a collapse of the lung and compression of surrounding structures.

Air that enters the pleural space during inspiration but is unable to exit during expiration creates a condition called tension pneumothorax. In this condition, there is a buildup of air in the pleural space, leading to a collapse of the lung and compression of surrounding structures. It is a medical emergency that requires immediate treatment.

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Answer:

The distance is 11 m.

Explanation:

Given that,

Friction coefficient = 0.24

Time = 3.0 s

Initial velocity = 0

We need to calculate the acceleration

Using newton's second law

[tex]F = ma[/tex]...(I)

Using formula of friction force

[tex]F= \mu m g[/tex]....(II)

Put the value of F in the equation (II) from equation (I)

[tex]ma=\mu mg[/tex]....(III)

[tex]a = \mu g[/tex]

Put the value in the equation (III)

[tex]a=0.24\times9.8[/tex]

[tex]a=2.352\ m/s^2[/tex]

We need to calculate the distance,

Using equation of motion

[tex]s = ut+\dfrac{1}{2}at^2[/tex]

[tex]s=0+\dfrac{1}{2}2.352\times(3.0)^2[/tex]

[tex]s=10.584\ m\ approx\ 11\ m[/tex]

Hence, The distance is 11 m.

The truck can travel a maximum distance of 10.584 meters in 3.0 seconds without the box sliding.

To determine the maximum distance the truck can travel in 3.0 s without the box sliding, we start by calculating the maximum acceleration the box can experience before it starts to slide.

This is given by the static friction force, which is the product of the coefficient of static friction  and the normal force (N). Assuming the box’s weight is W = mg, the normal force is N = mg.

The maximum static friction force (f) is:

f = μ N = μ mg

Given μs = 0.24, we need to ensure:

f > ma

Therefore, 0.24mg = ma, solving for a gives us:

a = 0.24g = 0.24 × 9.8 m/s² ≈ 2.352 m/s²

Next, we need to calculate the maximum distance using the kinematic equation for constant acceleration:

d = ut + (1/2)at²

Where:

Substituting these values, we get:

d = 0 + (1/2) × 2.352 m/s² × (3.0 s)² = 0.5 × 2.352 × 9 = 10.584 m

Thus, the maximum distance the truck can travel without the box sliding is approximately 10.584 meters.

Answer:

the path of the moving charge will be circular path now

Radius = 1312.5 m

Explanation:

Force on a moving charge due to constant magnetic field is given by

[tex]\vec F = q(\vec v \times \vec B)[/tex]

since here force on the moving charge is always perpendicular to the velocity always as it is vector product of velocity and magnetic field so here magnitude of the speed is always constant

Also the force is since perpendicular to the velocity always

so here the path of the moving charge will be circular path now

now to find out the radius of this circular path

[tex]F = \frac{mv^2}{R}[/tex]

[tex]qvBsin90 = \frac{mv^2}{R}[/tex]

[tex]R = \frac{mv}{qB}[/tex]

[tex]R = \frac{9.1\times 10^{-31}(1.50 \times 10^7)}{1.6 \times 10^{-19}(6.50 \times 10^{-8})}[/tex]

[tex]R = 1312.5 m[/tex]

Answer:

Option (B)

Explanation:

In a perfectly inelastic collision, the two bodies collide each other after the collision.

A. As the frog and the lily pad stick together so it is a perfectly inelastic collision.

B. The bowling ball and the pin do not stick together so it is not an example of perfectly inelastic collision.

C. A fish swallows the another, so it is a perfectly inelastic collision.

D. Bubble gum sticks to the golf ball so it is a perfectly inelastic collision.

Answer and Explanation:

1). Electric Potential:

Electric Potential can be defined as the amount of work required to move a unit  charge from infinity or reference point to a particular or specific point inside the electric field (without any accelerated motion of charge particle). The other terms for electric potential are 'electrostatic potential, potential difference(if a charge is moved from one point to another inside the field) or electric field potential.

2). Inductance:

It can be define as that property of electric circuits due to which it opposes any change in the voltage under the influence of changing magnetic field.

We can also say that the property of an electric conductor due to which it opposes any change in electric current passing through it. Any change in electric current results in the production of magnetic field which when varied results in the generation of Electro Motive Force (EMF) which according to Lenz law is produced in a way that it opposes its cause of production.

Answer:

this is my basic understanding o

. Electric Potential:

Electric Potential can be defined as the amount of work required to move a unit  charge from infinity or reference point to a particular or specific point inside the electric field (without any accelerated motion of charge particle). The other terms for electric potential are 'electrostatic potential, potential difference(if a charge is moved from one point to another inside the field) or electric field potential.

2). Inductance:

It can be define as that property of electric circuits due to which it opposes any change in the voltage under the influence of changing magnetic field.

We can also say that the property of an electric conductor due to which it opposes any change in electric current passing through it. Any change in electric current results in the production of magnetic field which when varied results in the generation of Electro Motive Force (EMF) which according to Lenz law is produced in a way that it opposes its cause of production.

Explanation:

Answer:

Float is travelling at speed of 3.86 m/s

Explanation:

As per Doppler's effect we know that when source and observer moves relative to each other then the frequency is different from actual frequency

so here when source moves closer to the observer

[tex]f_1 = f_o(\frac{v}{v - v_s})[/tex]

now we have

[tex]356 = f_o(\frac{v}{v - v_s})[/tex]

again when source moves away from the observer then we have

[tex]f_2 = f_o(\frac{v}{v + v_s})[/tex]

[tex]348 = f_o(\frac{v}{v + v_s})[/tex]

now divide above two equations

[tex]\frac{356}{348} = \frac{v + v_s}{v - v_s}[/tex]

[tex]1.023 = \frac{v + v_s}{v - v_s}[/tex]

[tex]1.023( v - v_s) = (v + v_s)[/tex]

here we know that the speed of sound in air is 340 m/s

so we have

[tex]1.023(340 - v_s) = (340 + v_s)[/tex]

[tex]7.816 = 2.023 v_s[/tex]

now we have

[tex]v_s = 3.86 m/s[/tex]

The speed of the float in the parade is determined using the observed frequencies of the flute when the band is approaching and moving away informed by the Doppler Effect physics theory. You generate equations for both scenarios and solve for the speed of the source, using the average speed of sound in the air.

This problem relates to the Doppler Effect, which explains why the frequency of a sound changes when the source of the sound is moving in relation to the observer. The formula to calculate a Doppler Shift when the source is moving away (as in the float in the parade) is given by: f' = f [(v + v0) / v] and when the source is approaching is given by: f' = f [(v - v0) / v]. Where, f' is the observed frequency, f is the source frequency, v is the sound speed (340 m/s), and v0 is the speed of the source.

In the problem, it's given that the observed frequencies when the band is approaching and moving away are 356 Hz and 348 Hz, respectively. By setting up two equations using the Doppler Shift formula for both observed frequencies, we can solve for v0. In this case, we use the average speed of sound in the air, which is about 340 m/s.

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Answer:

Part a)

[tex]f = -48 cm[/tex]

Since focal length is negative so its a diverging lens

Part b)

[tex]h_i = 6.375 mm[/tex]

Since the magnification is position for diverging lens so it is ERECT

Explanation:

Part a)

As we know by lens formula

[tex]\frac{1}{d_i} + \frac{1}{d_o} = \frac{1}{f}[/tex]

[tex]-\frac{1}{12cm} + \frac{1}{16} = \frac{1}{f}[/tex]

[tex]f = -48 cm[/tex]

Part b)

Since focal length is negative so its a diverging lens

Part c)

As we know that

[tex]\frac{h_i}{h_o} =\frac{d_i}{d_o}[/tex]

[tex]\frac{h_i}{8.5 mm} = \frac{12}{16}[/tex]

[tex]h_i = 6.375 mm[/tex]

Part d)

Since the magnification is position for diverging lens so it is ERECT

Part e)

Answer:

(a) 64.58 N

(b) 43125 N/C

Explanation:

(a) q1 = 796 uC = 796 x 10^-6 C, q2 = 481 nC = 481 x 10^-9 C,

r = 23.1 cm = 0.231 m

Force, F = k q1 q2 / r^2

F = (9 x 10^9 x 796 x 10^-6 x 481 x 10^-9) / (0.231)^2

F = 64.58 N

(b) F = 6.9 x 10^-15 N

E = F / q

E = (6.9 x 10^-15) / (1.6 x 10^-19) = 43125 N/C

Answer:

[tex]a = 5.83 \times 10^{-4} m/s^2[/tex]

Explanation:

Since the system is in international space station

so here we can say that net force on the system is zero here

so Force by the astronaut on the space station = Force due to space station on boy

so here we know that

mass of boy = 70 kg

acceleration of boy = [tex]1.50 m/s^2[/tex]

now we know that

[tex]F = ma[/tex]

[tex]F = 70(1.50) = 105 N[/tex]

now for the space station will be same as above force

[tex]F = ma[/tex]

[tex]105 = 1.8 \times 10^5 (a)[/tex]

[tex]a = \frac{105}{1.8 \times 10^5}[/tex]

[tex]a = 5.83 \times 10^{-4} m/s^2[/tex]

The magnitude of the acceleration of the space station is mathematically given as

[tex]a = 5.83 * 10^{-4} m/s^2[/tex]

Question Parameter(s):

The International Space Station has a mass of 1.8 × 105 kg. A 70.0-kg.

The station pushes off one wall of the station so she accelerates at 1.50 m/s2.

Generally, the equation for the  Force is mathematically given as

F = ma

Therefore

F = 70(1.50)

F= 105 N

In conclusion, the space station force

F = ma

105 = 1.8 * 10^5 a

a = 5.83 * 10^{-4} m/s^2

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The answer will be 137 mL

Answer:

Magnetic field, B = 0.11 i (in k direction)

Explanation:

It is given that,

Velocity of the proton, [tex]v=4.5\times 10^6\ m/s[/tex]

Magnetic force, [tex]F=8\times 10^{-14}\ N[/tex] (due south)

The magnetic force acting on the electron is given by :

[tex]F=qvB[/tex]

(-j) = (i) × (B)

[tex]B=\dfrac{F}{qv}[/tex]

q is the charge on proton

[tex]B=\dfrac{8\times 10^{-14}\ N}{1.6\times 10^{-19}\ C\times 4.5\times 10^6\ m/s}[/tex]

B = 0.11

So, the magnitude of 0.11 T is acting on the proton in and is acting directed upward above the plane. Hence, this is the required solution.

Final answer:

To calculate the magnitude of the magnetic field that causes a force on a moving proton, we use the rearranged Lorentz force law, with inputs of proton charge, velocity, and the force experienced. The direction of the magnetic field is determined by the right-hand rule, given the directions of the force and proton's velocity.

Explanation:

The student's question involves the effect of a magnetic field on a moving charged particle, specifically a proton, which falls under the subject of Physics. The Lorentz force law states that the force (F) on a charged particle is directly proportional to the charge (q), the velocity (v), and the magnetic field (B), and is given by the equation F = q(v x B), where v x B denotes the cross product of the velocity vector and the magnetic field vector. The force is perpendicular to both the velocity and the magnetic field.

To find the magnitude of the magnetic field, we can rearrange this equation to B = F / (q * v * sin(θ)), where θ is the angle between the velocity of the proton and the direction of the magnetic field. In the case where force is maximum, the angle is 90 degrees, and the sine of 90 degrees is 1. Given the maximum magnetic force (8.0 × 10⁻¹⁴ N), the charge of a proton (approximately 1.6 × 10⁻¹⁹ C), and the velocity of the proton (4.5 × 10⁶ m/s), we can calculate the magnitude of the magnetic field. As the force experienced by the proton is directed due south and the velocity is due east, the magnetic field must be pointing downwards to produce a force in that direction according to the right-hand rule.

Answer:

783.63 Watt

Explanation:

T = 111 degree C = 111 + 273 = 384 K

T0 = 45 degree C = 45 + 273 = 318 K

A = 1.6 m^2

e = 0.75

According to the Stefan's law, the energy radiated per second is given by

[tex]E = \sigma eA\left ( T^{4}- T_{0}^{4}\right )[/tex]

[tex]E = 5.67\times 10^{-8}\times 0.75\times 1.6 ( 384^{4}- 318^{4}\right ))[/tex]

E = 783.63 Watt

Answer:

Final speed in reverse direction will be 11 m/s

Explanation:

As per impulse momentum theorem we know that

Change in momentum of the object is product of force and time

so we have

[tex]P_f - P_i = F\Delta t[/tex]

now we have

[tex]P_f = mv_f[/tex]

[tex]P_i = mv_i[/tex]

[tex]\Delta t = 250 ms[/tex]

F = 21 N

now we have

[tex]0.38(v_f) - 0.38(-2.8) = 21(250\times 10^{-3})[/tex]

[tex]v_f = 13.82 - 2.8[/tex]

[tex]v_f = 11 m/s[/tex]