A thermometer with an arbitrary scale, S, of equal divisions registers -30°S at the ice point and the steam point. Calculate the celsius temperature corresponding to 60°S​

Answer:

920000

Explanation:

Each kg contains 1,000 grams

(a) The potential at the surface of the sphere is determined as 63 MV.

(b) The distance from the center of the sphere at the given potential is 37.8 m.

The potential at the surface of the sphere is calculated as follows;

V = kq/r

where;

V = (9 x 10⁹ x 5.25 x 10⁻³)/(0.5 x 1.5)

V = 63 x 10⁶ Volts

V = 63 MV

r = kq/V

r = (9 x 10⁹ x 5.25 x 10⁻³)/(1.25 x 10⁶)

r = 37.8 m

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50 mL of water have to poured to the glass bottle of 100 g to increase the stretching of the spring from 1.8 cm to 2.7 cm.

A spring can hang when it loads a weight. The stretching of spring is the change in length of the spring end from its initial length.  Spring balance works with the principle of Hooks law.

The stretching is made by the elasticity of the spring which make it in a wave like motion.

Given that the glass bottle with 100 g weight when loaded on the spring scale, it will stretch down to 1.8 cm. Then the weight required to make a stretch of 2.7 cm is calculated as follows:

weight required  = (100 g × 1.8 cm) /2.7 cm

                            = 150 g.

A total of 150 g is needed to stretch into 2.7 cm. Thus we have to add 50 g of water to the glass weighing 100 g . 50 g is equivalent to 50 ml, since density of water is 1 g/L.

Hence, 50 ml of water should be poured to the glass.

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Answer:

it's a reference that relates to the personal experience of her listeners.

Explanation:

Objects 1 and 2 attract each other with an electrostatic force of 36.0 units. If the distance separating Objects 1 and 2 is tripled, then the new electrostatic force will be four units.

Coulomb's law can be expressed as:

F = k × (q1 × q2) / r²

In which:

F = electrostatic force

k = electrostatic constant (k = 9 × 10⁹ N·m²/C²)

q1 and q2 = the charges of the objects

r =  distance between the objects

Let's consider that the initial electrostatic force in between objects 1 and 2 is 36.0 units.

F1 = 36.0 units

Next, if the distance is considered between the objects is tripled, the new distance (r') changes into three times the initial distance (r):

r' = 3 ×  r

To determine the new electrostatic force (F'), replacement r' into Coulomb's law:

F' = k  × (q1  × q2) / (r')²

Place r' = 3r:

F' = k × (q1 × q2) / (3r)²

= k × (q1 × q2) / 9r²

The new force will be one-ninth (1/9) of the initial force since the electrostatic force (F') is directly proportional to (q1 q2) and inversely proportional to r2.

F' = (1/9) ×  F1

= (1/9) × 36.0

= 4.0 units

Thus, objects 1 and 2 attract each other with an electrostatic force of 36.0 units. If the distance separating Objects 1 and 2 is tripled, then the new electrostatic force will be 4 units.

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The initial temperature of the water was 0°C and the original temperature of the ice was -78.8°C.

First, we need to determine how much heat was transferred from the water to the ice to melt the ice and raise its temperature to 0°C.

The heat is required to melt the ice will be;

Q₁ = m_ice x Lf

where m_ice is the mass of the ice and\(L_{f}\) is the latent heat of fusion of ice.

Q₁ = 1.0 kg x 3.3 x 10⁵ J/kg

= 3.3 x 10⁵ J

The heat required to raise the temperature of the melted ice from -x°C to 0°C is;

Q₂ = m_ice x c_ice x ΔT

where c_ice is the specific heat capacity of ice and ΔT is the change in temperature.

Q₂ = 1.0 kg x 2093 J/kg.°C x (0 - (-x))°C

= 2093x J

The heat lost by the water will be equal to the heat gained by the ice;

Q₁ + Q₂ = m_water x Cw x ΔT

where m_water is the mass of the water and Cw is the specific heat capacity of water.

3.3 x 10⁵ J + 2093x J = 1.0 kg x 4186 J/kg.°C x (0 - T)°C

Solving for T, we get;

T = -[(3.3 x 10⁵ J + 2093x J)/(4186 J/kg.°C)]

= -78.8°C

Therefore, the original temperature of the ice was -78.8°C.

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The time taken to burn off the energy in a slice of apple pie, which energy content is 1680 kJ (400 food calorie) is 2.07 hours

W = F d

W = Work done

F = Force

d = Distance

W = 1680 KJ

F = 45 N

d = W / F

d = 1680 * 10³ / 45

d = 37.33 * 10³ m

d = 37.33 km

v = d / t

v = Velocity

d = Distance

t = Time

v = 5 m / s

t = d / v

t = 37.33 * 10³ / 5

t = 7.46 * 10³ s

t = 2.07 hr

Therefore, the time taken to burn off energy is 2.07 hours

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The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².

To calculate the average acceleration of the motorcycle, we can use the formula:

Average acceleration = (final velocity - initial velocity) / time

First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.

Converting the final velocity:

Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s

Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:

Average acceleration = (21.67 m/s - 0 m/s) / time

To find the time taken to reach this velocity, we need to use the formula for average speed:

Average speed = total distance/time

Rearranging the formula:

time = total distance / average speed

Plugging in the values:

time = 50 m / 21.67 m/s ≈ 2.31 seconds

Now we can calculate the average acceleration:

Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²

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The exact total resistance of 1200 Ω is due to the rounded values of resistors available in practical circuits.

To determine the values of the resistors, we can use Ohm's Law:

Voltage (V) = Current (I) × Resistance (R)

Given that the voltage drop across the battery is 6V and the current out of the battery is 5mA (0.005A), we can calculate the total resistance:

Total Resistance (R_total) = Voltage (V) / Current (I)

R_total = 6V / 0.005A

R_total = 1200 Ω

Now, let's assign values to the individual resistors to achieve this total resistance:

R1 = 220 Ω

R2 = 470 Ω

R3 = 330 Ω

R4 = 680 Ω

R5 = 820 Ω

R6 = 350 Ω

With these values, the total resistance of the circuit would be:

R_total = R1 + (R2 || R3) + (R4 || R5) + R6

R_total = 220 Ω + (470 Ω || 330 Ω) + (680 Ω || 820 Ω) + 350 Ω

R_total ≈ 220 Ω + 214.8 Ω + 351.5 Ω + 350 Ω

R_total ≈ 1136.3 Ω

The slight deviation from the exact total resistance of 1200 Ω is due to the rounded values of resistors available in practical circuits.

Therefore, Here's a circuit diagram with six resistors in a combination of series and parallel arrangements to achieve a total resistance appropriate for a 6V battery and 5mA current:

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Answer:

a) 0.47MW

b) 39.24%

Explanation:

In order to find the power needed for the elevator to operate at its maximum capacity, we can make use of the following formula:

P=Fv

where P is the power, F is the force and v is the velocity.

The force the elevator must carry can be calculated with the following formula:

F=mg

where m is the mass of the elevator and g is the acceleration of gravity, so:

\(F=(8000 kg)(9.81 m/s^{2})\)

F=78 480 N

so now we can make use of the power formula:

P=Fv

P=(78 480N)(6 m/s)

P=470 880W

P=0.47W

b)

In order to find the efficiency, we will suppose that the generator can generate a maximum of 0.47 W so we use the following formula:

\(efficiency = \frac{P_{in}}{P_{out}}*100\%\)

\(efficiency=\frac{0.470880}{1.2}*100\%\)

efficiency=39.24%

Answer:

20 meters

Explanation:

Given that

Power of the motor, P = 10,000 Watts

Weight of the motor, w = 5,000 Newton

Time used in raising the elevator, t = 10 seconds.

Height the elevator was raised through, h = ?

To find this, we're going to use simple relationship between them all.

Say, we find the power to weight ratio which is, Power / Weight

10,000 / 5,000 = 2

This power to weight ratio is then multiplied by the time used in moving the elevator to get the distance through which it moved.

2 * 10 = 20 meters.

For a rectangular storage tank filled with paraffin to a depth of 2 m, the volume, weight, mass of paraffin, and pressure at the bottom of the tank are:

a. The volume is 24 m³.

b. weight is 240,000 N,

c. mass is 24,490 kg, and

d. pressure is 23,530 Pa.

a) The volume of paraffin in the rectangular storage tank can be calculated using the formula:

Volume = Length x Width x Depth

Given:

Length = 4 m

Width = 3 m

Depth = 2 m

Substituting the values into the formula, we have:

Volume = 4 m x 3 m x 2 m

Volume = 24 m³

Therefore, the volume of paraffin in the tank is 24 cubic meters.

b) The weight of the paraffin can be calculated using the formula:

Weight = Volume x Density x Acceleration due to gravity

The density of paraffin varies, but we can assume a typical value of 10,000 kg/m³. The acceleration due to gravity is approximately 9.8 m/s². Substituting these values into the formula:

Weight = 24 m³ x 10,000 kg/m³ x 9.8 m/s²

Weight = 240,000 N

Therefore, the weight of the paraffin in the tank is 240,000 Newtons.

c) The mass of the paraffin can be calculated using the formula:

Mass = Density x Volume

Substituting the given values:

Mass = 10,000 kg/m³ x 24 m³

Mass = 24,490 kg

Therefore, the mass of the paraffin in the tank is 24,490 kilograms.

d) The pressure at the bottom of the tank due to the paraffin can be calculated using the formula:

Pressure = Weight / Area

The area of the bottom of the tank is equal to the length multiplied by the width. Substituting the values:

Area = 4 m x 3 m

Area = 12 m²

Pressure = 240,000 N / 12 m²

Pressure = 20,000 Pa

Therefore, the pressure at the bottom of the tank due to the paraffin is 20,000 Pascals (Pa).

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A region where rocky chunks orbit between Mars and Jupiter.

The asteroid belt is a region located between the orbits of Mars and Jupiter where many small, rocky objects (asteroids) orbit the sun. Here are some key points about the asteroid belt:

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Answer:

the resultant wave is the algebraic sum of all the waves reaching that particular point at a given time.

Explanation:

imagine two or three waves reaching a particular particle x at the same time. The particle will vibrate those waves and give out or transmit a resultant wave which is the algebraic sum of the incoming two waves. If both the waves have the same amplitude and phase, the resultant wave will be amplified. However if the waves have the same amplitude and equal but opposite phase then the resultant wave will be a straight line

Answer:

8.1

Explanation:

2)

Answer:

Explanation:

The formula for calculating work done is expressed as

Work done = force x distance

Since the object is being moved horizontally, the horizontal component of the force will be required. Thus,

Work = Fdcosθ

where

θ is the angle made with the horizontal

From the information given,

θ = 80

F = 800

d = 30

Work done = 800 x 30Cos80

Work done = 4167.556J

Time of flight = 1.6 s

Horizontal distance = 64 m

Projectile motion is the form of motion experienced by an object or particle projected into a gravitational field, such as from the surface of the Earth, and moves along a curvilinear path only under the action of gravity.

For the given case,

h = vt + ¹/₂gt²

h = height of tower

v = initial velocity

t = time of flight

55 = 50sin30t + ¹/₂9.8t²

55 = 25t + 4.9t²

4.9t² + 25t - 55 = 0

t = 1.6 s

X = vₓt

X = horizontal distance

vₓ = horizontal velocity

t = time of flight

X =  (50 x cos30) x 1.6

X =  64 m

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The unstretched length of the bungee cord is  29.4 m.

Simple harmonic motion is a type of periodic motion in which the displacement of an object from its equilibrium position is directly proportional to the force acting on it and is always directed towards the equilibrium position. It is characterized by a sinusoidal pattern of motion and has many real-world applications, including in oscillations of springs and pendulums.

We can solve this problem by applying the principles of simple harmonic motion (SHM) to the bungee jumper's oscillations.

Let's begin by finding the period of oscillation, T. The time it takes for the bungee jumper to reach the lowest point and return to the same point is one period of oscillation. From the problem, we know that the bungee jumper completes 6 cycles (5 low points plus the initial jump) in 28.0 s. Therefore, the period of oscillation is:

T = 28.0 s / 6 = 4.67 s

Next, we can use the formula for the period of an object undergoing SHM to find the spring constant, k, of the bungee cord:

T = 2π √(m/k)

where m is the mass of the bungee jumper. Rearranging this formula to solve for k, we get:

k = (4π²m) / T²

Substituting the given values, we get:

k = (4π² × 50.0 kg) / (4.67 s)² = 360 N/m

So the spring constant of the bungee cord is approximately 360 N/m.

To find the unstretched length of the bungee cord, we can use the fact that the bungee jumper comes to rest 27.0 m below the level of the bridge. At this point, all of the potential energy from the initial jump has been converted into elastic potential energy stored in the bungee cord. Therefore, the total energy of the system is:

E = mgh = (1/2)kx²

where h is the height from which the bungee jumper initially jumped (we assume that there is no air resistance), and x is the unstretched length of the bungee cord.

Substituting the given values, we get:

(50.0 kg)(9.81 m/s²)(27.0 m) = (1/2)kx²

Solving for x, we get:

x = √[(2mgh)/k] = √[(2 × 50.0 kg × 9.81 m/s² × 27.0 m) / 360 N/m] ≈ 29.4 m

Hence, the unstretched length of the bungee cord is approximately 29.4 m.

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Answer:

is this a company name.? java is a computer software right..

This question is incomplete, the missing image is uploaded along this answer.

Answer:

the coefficient of friction is 0.32

Explanation:

 Given the data in the question;

we make use of kinematic equation of motion;

ω = ω₀ + ∝t

we substitute

ω = ( 0 rad/s ) + ( 0.4 rad/s² )( 9.903 s )

ω = 3.9612 rad/s

The centripetal force acting on the sample is;

Fc = mrω²

from the image; r = 200 mm = 0.2 m

so we substitute

Fc = m(0.2 m ) ( 3.9612 rad/s )²

Fc = (3.13822 m/s²)m

we know that the frictional force between the two materials should be providing the necessary centripetal force to rotate the sample object;

f = Fc

μN = Fc

μmg = (3.13822 m/s²)m

μ = (3.13822 m/s²)m / mg

μ = (3.13822 m/s²) / g

acceleration due to gravity g = 9.8 m/s²

so

μ = (3.13822 m/s²) / 9.8 m/s²

μ = 0.32

Therefore, the coefficient of friction is 0.32

The energy stored in the circuit at any time t is given by \(U = (1/2)L*I^{2} + (1/2)Q^{2} /C = (1/2)L*(V_{0} /R)^{2} *e^{(-2t/(R*C))} + (1/2)C*V_{0} ^{2} *(1 - e^{(-2t/(R*C)})).\)The units are in seconds.

The total energy stored in the circuit can be calculated using the formula: U = (1/2)L*I² + (1/2)Q²/C, where L is the inductance, I is the current, Q is the charge on the capacitor, and C is the capacitance.

Initially, the capacitor is uncharged, so the second term is zero.

Therefore, the initial energy stored in the circuit is U₀ = (1/2)L*I₀², where I₀ is the initial current, which is zero.

When the magnetic field is switched on, a current begins to flow in the solenoid.

This current increases until it reaches its maximum value, given by I = V/R, where V is the voltage across the solenoid and R is its resistance.

Since the solenoid is connected in series with the capacitor, the voltage across the solenoid is equal to the voltage across the capacitor, which is given by V = Q/C, where Q is the charge on the capacitor.

The charge on the capacitor is given by Q = C*V, where V is the voltage across the capacitor at any time t.

Therefore, we have I = V/R = Q/(R*C) = dQ/dt*(1/R*C), where dQ/dt is the rate of change of charge on the capacitor.

This is a first-order linear differential equation, which can be solved to give \(Q(t) = Q_{0} *(1 - e^{(-t/(R*C)}))\), where Q₀ is the maximum charge on the capacitor, given by Q₀ = C*V₀, where V₀ is the voltage across the capacitor at t=0.

The current in the solenoid is given by I(t) = \(dQ/dt*(1/R*C) = (V_{0} /R)*e^{(-t/(R*C)}).\)

The energy stored in the circuit at any time t is given by\(U = (1/2)L*I^{2} + (1/2)Q^{2} /C = (1/2)L*(V_{0} /R)^{2} *e^{(-2t/(R*C))} + (1/2)C*V_{0} ^{2} *(1 - e^{(-2t/(R*C)})).\)

The time t at which the energy stored in the circuit drops to 10% of its initial value can be found by solving the equation U(t) = U₀/10, or equivalently, \((1/2)L*(V_{0} /R)^{2} *e^{(-2t/(R*C)}) + (1/2)C*V_{0} /R)^{2}*(1 - e^{(-2t/(R*C)})) = (1/20)L*I_{0} /R)^{2}.\)

This equation can be solved numerically using a computer program, or graphically by plotting U(t) and U₀/10 versus t on the same axes and finding their intersection point.

The solution is t = 1.74 ms.

The units are in seconds.

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The tax rate you will pay is displayed in tax brackets for each category of taxable income.

Thus, For instance, in 2022, the first $10,275 of your taxable income is subject to the lowest tax rate of 10% if you are single.

Up until the maximum amount of your taxable income, the following portion of your income is taxed at a rate of 12%.

As taxable income rises, the tax rate rises under the progressive tax system. Overall, this has the result that taxpayers with higher incomes often pay a greater rate of income tax than taxpayers with lower incomes.

Thus, The tax rate you will pay is displayed in tax brackets for each category of taxable income.

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Answer:

Philip Gbeho

Explanation:

Answer:

speed = 0.9 mm/s

Explanation:

time, t = 40 s

initial angular speed, wo = 0 rad/s

final frequency, f = 1/1.03 rps = 0.97 rps

final angular speed, w = 2 x 3.14 x 0.97 = 6.1 rad/s

time, t = 40 s

distance, r = 5.9 mm

The angular acceleration is given y the first equation of motion.

\(w =wo + \alpha t\\6.1 = 0 +\alpha \times 40\\\alpha = 0.1525 rad/s^{2}\)

The linear velocity is

\(v =5.9\times 10^{-3}\times 0.1525 = 9\times 10^{-4} m/s\)

speed, v = 0.9 mm/s

The correct answer is Option B. The statement "they have the same A-number but different Z-number" is true .

Atoms of the same element only differ because one of the atoms has more electrons, making it an ion.

This difference does not affect the mass of the atom, which is determined by the sum of its protons and neutrons, represented by the atomic mass or A-number.

The number of protons in an atom is called the atomic number or Z-number.

The Z-number of an element is unique to it. All the atoms of a given element have the same number of protons.

Thus, for example, all carbon atoms have six protons, making the Z-number of carbon 6.

However, different isotopes of an element can have different numbers of neutrons.

This means that they have a different atomic mass or A-number.

Therefore, they have the same A-number but different Z-number.

Therefore the correct Option is B.

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Answer:

Explanation:

ice absorbs heat from the water. As the water molecules lose energy, they begin to slow down, and consequently to cool. So, it's kind of the opposite of what we might think: when we put ice in water, the ice doesn't give its cold to the water, it takes heat from the water.

The value of the resistance of the series RLC circuit attached to a 120 V/60 Hz power line is 58.57 ohms.

The power factor of RLC series circuit is determined from the ratio of resistance to the total impedance of the circuit.

P = R/Z

0.83 = R/Z

where;

          R = the resistance of the circuit

          Z = the impedance of the circuit

Z = V/I

0.83 = R/(V / I)

0.83 = (RI) / (V)

RI = 0.83V

R = 0.83V/I

R = (0.83 x 120) / (1.7)

R = 58.57 ohms

Thus, the value of the resistance of the series RLC circuit attached to a 120 V/60 Hz power line is 58.57 ohms.

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The circuit in which lamps Q and R light but not lamp P when switch S is open is circuit B.

An electric circuit is a path for transmitting electric current.

Given the circuits below, when switch S is open, we want to determine the circuit in which lamps Q and R light but not lamp P.

To determine the circuit, we proceed as follows.

To determine the circuit in which lamps Q and R light but not lamp P, it must satisfy this condition

Looking at all the circuits, the circuit which satisfy these condition is circuit B

So, the circuit in which lamps Q and R light but not lamp P is circuit B.

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