Calculate the force exerted on a rocket when the propelling gases are being expelled at a rate 1100 kg/s with a speed of 3.5 x 104 m/s.

When a rocket is launched straight up from the Earth's surface, its speed gradually decreases as it moves away from the planet.

However, it never truly reaches a constant speed when it is very far away from the Earth. Instead, its speed continues to decrease due to the gravitational pull of other celestial bodies in space, such as the Sun and other planets. Therefore, it is not possible to determine the rocket's exact speed when it is very far away from the Earth without additional information about the rocket's trajectory, the effects of other gravitational forces, and the time elapsed since the launch. The exact speed when the rocket is very far away would depend on various factors, including the rocket's design, propulsion system, and the duration of its engine burn.

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The force constant of the bungee cord when a person of mass 70 kg leaps on a bridge with it is 219.52 N/m.

The force constant or spring constant is a measure of the stiffness of a spring. It is the force per unit deformation of the spring. Its SI unit is N/m.

To calculate the force constant of the bungee cord, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the force constant of the bungee cord is 219.52 N/m.

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Explanation:

hpe it helps uuuu......

The university would need a grant of at least $1,135,848 to make the project worthwhile. The answer is not provided in the options.

To determine the number of hours per year needed for the solar panels to break even, we need to calculate the present value of operating the panels and compare it to the initial investment.

Step 1: Calculate the present value of operating the solar panels for 1 hour per year.

The annual cost of electricity without the solar panels is $0.10 per kWh.

The capacity of the solar panels is 600 kW.

The discount rate is 10%.

Present value of operating the solar panels for 1 hour per year:

PV = Capacity (kW) * Cost per kWh * Discount factor

PV = 600 kW * $0.10/kWh * (1 / (1 + 0.10))^1

PV = 600 * $0.10 * 0.9091

PV = $54.55

Step 2: Calculate the total present value over the life of the panels.

The life expectancy of the panels is 20 years.

Total present value = Present value per hour * Hours per year * Number of years

Total present value = $54.55 * Hours per year * 20

To break even, the total present value should be equal to the initial investment of $1.9 million.

$54.55 * Hours per year * 20 = $1,900,000

Solving for Hours per year:

Hours per year = $1,900,000 / ($54.55 * 20)

Hours per year ≈ 3,719.58

Therefore, the solar panels need to operate for approximately 3,719.58 hours per year to break even. The answer is option A.

If the solar panels can only operate for 3,348 hours a year at maximum, the project would not break even since the required operating hours are higher than the maximum operating hours provided. The answer is option B.

To make the project worthwhile and at least break even with the maximum operating hours of 3,348, the university would need a grant of at least the total present value required for those operating hours.

Total present value = $54.55 * Hours per year * 20

$54.55 * 3,348 * 20 = $1,135,848

Therefore, The university would need a grant of at least $1,135,848 to make the project worthwhile. The answer is not provided in the options.

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Answer:

Hello your question lacks some very vital information hence I will give you a general equation where you can input the missing values and get your answer

answer :  mass of Bananas ( m ) = \(\frac{A^2}{V^2} * K\)

To calculate for weight of Bananas  = m * g      where g = 9.8

Explanation:

Given an amplitude ( A )= 29.8981

Spring constant = x ( unknown )

maximum speed of Bananas( v ) = wA  ( unknown )

question : calculate the weight of the bananas

First  step : calculate the period of oscillation

T = \(\frac{2\pi }{vA}\) --- ( 1 )

next step : express T in terms of mass ( m ) of the bananas

= \(2\pi \sqrt{\frac{m}{k} } = \frac{2\pi }{vA}\)

∴ m/k = A^2 / v^2

hence  mass of Bananas ( m ) = \(\frac{A^2}{V^2} * K\)

To calculate for weight = m * g

Answer:

Explanation:

KE =1/2mv²

KE =1/2(1000kg)(15m/s)²

KE = 500kg (225 m²/s²)

KE = 112,500 JJ

The calculated value of resistance of the colour television is 180 Ω.

Resistance is characterized as a conductor's quality that opposes the flow of electric current. The ratio of the applied voltage to the electric current passing through it is another definition for it. A conductor's resistance is determined by its length, cross-sectional area, and type of material employed in its construction. For a conductor, the resistance is inversely proportional to the cross-sectional area and directly proportional to the conductor's length.

Given parameters:

Current flowing through the colour television: I = 1.5 A.

Potential difference applied on it: V = 120 V.

We have to find; the resistance of the television: R = ?​

From Ohm's law; we know that:

   V = IR

⇒ R = V/I = 120 V/1.5 A = 180 Ω.

Hence,  the resistance of the television is 180 Ω.

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The bullet's speed just before impact was 29.17 m/s.

The given information is:

Length of the rod, L = 0.17 m

Mass of the rod, M = 4.1 kg

Mass of the bullet, m = 4.9 g = 0.0049 kg

Initial velocity of the bullet, u = ?

Angle between the path of the bullet and the rod, θ = 60° = 60 x π/180 rad = π/3 rad

Angular velocity of the rod after the collision, ω = 11.0 rad/s

By conservation of angular momentum, we have:MV0L/2 + mV0L cos θ/2 = (ML2ω)/12 + (1/2)(m+M)R2ω

Where,R is the distance of the point of collision from the center of mass of the rod.R = L/2

Since the bullet lodges in the rod, final velocity of the bullet is zero. Therefore,MV0L/2 + mV0L cos θ/2 = (ML2ω)/12 + (1/2)(m+M)R2ω=> V0 = (6ωL)/(m+M+3Mcosθ)

Putting the values of L, ω, m, M and θ, we getV0 = (6 x 11.0 x 0.17)/(0.0049+4.1+3 x 4.1 x cos(π/3))= 29.17 m/s

Therefore, the speed of the bullet just before the impact is 29.17 m/s.

:Hence, the bullet's speed just before impact was 29.17 m/s.

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Answer:

Electric Current

Explanation:

Answer:

roller coaster is very nice to see

Answer:

see below

Explanation:

18.5 m in .46 sec  =  18.5 /.46 m/s  = 40.2 m/s

Answer: 4 m/s

Explanation:

The scooter's velocity after 2 seconds of its start will be 4 m/s.

The first equation of motion is -

v = u + at

Given is Ms. Reitman's scooter that starts from rest and accelerates at

2 m/s².

We can write -

[a] = 2 m/s²

[t] = 2 s

Using the first equation of motion, we can write -

v = u + at

v = 0 + 2 x 2

v = 4 m/s

Therefore, the scooter's velocity after 2 seconds of its start will be 4 m/s.

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Answer:

Because the output force is greater than the input force, the input distance must be greater than the output distance.

Explanation:

The answer for (iv) is;

E.M.F of the battery refers to the chemical energy in the battery that is being converted into electrical energy for the flow of electrons to carry current in a circuit.

Answer:

House and Senate.

Explanation:

declares war, regulates interstate and foreign commerce and controls taxing and spending policies.

In most situations, the strong correlation usually ranges between 0.7 to 0.9. So 0.5 is not a strong correlation.

Correlation is an important concept in statics. This helps to associate the relationship between two variables. This is of two types namely positive correlation and negative correlation.

In a positive correlation, the association of two variables occurs in the same way. That is they both decrease or increase. In a negative correlation, the association of one variable occurs oppositely to another variable. That is, when one variable decreases, another variable increases.

This correlation is represented by the symbol r. This r-value range from +1 to -1. So the perfect positive correlation is +1 and the perfect negative correlation is -1.

In, the positive correlation, the values from 0.1 to 0.3 is considered weak or low correlation. The values from 0.4 to 0.6 are considered a moderate correlation and the values from 0.7 to 0.9 are considered a strong correlation.

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The question involves electricity basics, specifically the relationship between power, voltage, current, and charge. The heating element in a toaster dissipates 900 watts of power when run at 120 volts. To determine how much charge passes through the heating element in 1.0 minute, we need to use the relationship between power, voltage, and current, which is given by the equation:P = IVwhere P is the power, V is the voltage, and I is the current. We can rearrange this equation to solve for the current:I = P / VSubstituting the given values, we get:I = 900 W / 120 V = 7.5 AThis means that the heating element is drawing a current of 7.5 amperes from the power source. To determine how much charge passes through the heating element in 1.0 minute, we can use the relationship between current and charge, which is given by the equation:Q = Itwhere Q is the charge, I is the current, and t is the time. Substituting the given values, we get:Q = (7.5 A) x (60 s) = 450 CTherefore, 450 coulombs of charge pass through the heating element in 1.0 minute. The coulomb is the SI unit of electric charge, and is defined as the amount of charge that passes through a conductor in one second when a current of one ampere is flowing.

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The amount of charge that passes through the heating element in 1.0 minute is determined by the current, which is the rate of the flow of charge.

The current can be determined through the equation I = P/V, where P is the power (900 W in this case) and V is the voltage (120 V in this case). Thus, the current is 7.5 A.

Since charge (Q) is equal to current (I) multiplied by time (t), we can calculate the amount of charge that passes through the heating element in 1.0 minute by multiplying 7.5 A by 1.0 min, which is equal to 7.5 C. Thus, 7.5 C of charge passes through the heating element in 1.0 minute when the toaster is run at 120 V and dissipates 900 W.

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The distance from the Sun where ice and gases become prevalent on a planet's surface relative to liquid water is defined as the frost line.

A frost line also known as frost depth or freezing depth, is the depth to which the groundwater in soil is expected to freeze.

It is the distance from the Sun where ice and gases become prevalent on a planet's surface relative to liquid water.

Thus, the distance from the Sun where ice and gases become prevalent on a planet's surface relative to liquid water is defined as the frost line.

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The net force between Superman and Spiderman is 3 N, and it acts in the direction of Superman's force.

As per the question, the force exerted by :

Superman against Spiderman = 28 N

Spiderman against Superman = 25 N,

We can determine the net force and its direction by considering the following:

To find the net force, we need to subtract the forces exerted in opposite directions. Since Superman and Spiderman are pulling against each other, we have:

Net force = Force exerted by Superman - Force exerted by Spiderman

Net force = 28 N - 25 N

Net force = 3 N

The net force between Superman and Spiderman is 3 N.

To determine the direction of the net force, we need to consider the signs of the forces. Since Superman's force is greater than Spiderman's force, the net force will be in the direction of Superman's force.

Thus, the net force of 3 N is in the direction of Superman's force.

Therefore, the net force between Superman and Spiderman is 3 N, and it acts in the direction of Superman's force.

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Answer:

\(||\vec E_A||=1.11446 \times 10^6 \ \frac{N}{C}\), where the vector arrow will point from the charge towards point A.

Conceptual:

What is an electric field?

An electric field is a physical field produced by charged particles, these electric fields have the ability to exert forces on other charged particles. The following formula can be used to find the electric field (as a vector) at a point in space. "k_e" is Coulomb's constant and "\(\hat r\)" indicates the direction vector that point from the charge towards the field you are trying to calculate.

\(\boxed{\left\begin{array}{ccc} \text{\underline{Equation for Electric Field:}} \\\\\ \vec E=\frac{k_eq}{r^2} \hat r \\k_e=8.99 \times 10^9\frac{Nm^2}{C^2} \end{array}\right }\)

Explanation:

Given:

\(q=6 \times 10 ^{-6} \ C\\\\r=0.22 \ m\)

Find:

\(\vec E_A=?? \ \frac{N}{C}\)

\(\vec E_A=\frac{k_eq}{r^2} \hat r\\\\\Longrightarrow \vec E_A=\frac{(8.99 \times 10 ^9)(6 \times 10 ^{-6})}{(0.22)^2} \cdot\frac{ < 0,-0.22 > }{\sqrt{(0)^2+(-0.22)^2} } \\\\\Longrightarrow \vec E_A= 1.11446 \times 10^6 \cdot < 0,-1 > \\\\\Longrightarrow \vec E_A= < 0,-1.11446 \times 10^6 > \frac{N}{C} \\\\\Longrightarrow||\vec E_A||=\sqrt{(0)^2+(-1.11446 \times 10^6\))^2} \\\\\therefore \boxed{\boxed{||\vec E_A||=1.11446 \times 10^6 \ \frac{N}{C}}}\)

Thus, the electric field strength at point A is found. The vector arrow will point from the charge, q, towards point A.

The magnitude of the force, the object exerts on the floor of the elevator is 68 N. The correct option is 4.

To determine the magnitude of the force the 8.0-kg object exerts on the floor of the elevator, we'll apply Newton's second law of motion, which states that the net force acting on an object is equal to its mass multiplied by its acceleration (F = m * a). In this case, the net force acting on the object is the difference between the gravitational force (weight) and the force due to the elevator's acceleration.

First, we'll calculate the gravitational force acting on the object:
Weight = mass * gravity
Weight = 8.0 kg * 9.81 m/s²
Weight = 78.48 N

Next, we'll calculate the force due to the elevator's acceleration:
Force = mass * acceleration
Force = 8.0 kg * (-1.3 m/s²)
Force = -10.4 N (negative since it is in the opposite direction of gravity)

Now, we'll find the net force exerted by the object on the elevator floor:
Net Force = Weight + Force
Net Force = 78.48 N - 10.4 N
Net Force = 68.08 N

Rounding to the nearest whole number, the magnitude of the force the object exerts on the floor of the elevator is approximately 68 N. Therefore, the correct answer is option 4) 68 N.

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The volume charge density of the rod is 2.32 × 10−6 C/m3.The linear charge density of the rod is 1.44 × 10−4 C/m.Volume charge densityVolume charge density is defined as the electric charge per unit volume of space and is given by ρ = q/V, where q is the amount of charge and V is the volume occupied by the charge.

The formula isq = 0.59 C and V = πr²h, where r is the radius of the rod and h is the length of the rod.So, ρ = q/V = (0.59 C)/(π(0.005 m)²(0.41 m))=2.32 × 10−6 C/m3.Linear charge densityLinear charge density is defined as the electric charge per unit length of the rod and is given by λ=q/l,

where q is the amount of charge and l is the length of the rod. The formula isq = 0.59 C and l = h.So, λ = q/l = 0.59 C/0.41 m = 1.44 × 10−4 C/m.

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Answer:

No motion, so momentum = zero

Explanation:

Answer:

winter

Explanation:

winter because the sun is not reaching the nothern hemisphere directly so the season inthe nothern hemisphere is winter.

and also it cannot be autumn because autumn is a season for leaves falling.

and also it cannot be spring because spring is the season for growth.

and also it cannot be summer because sumer is the season for the sun rays reaching directly on the earth.

HOPE THIS HELPS.

We know that in a change of state heat is used to break the links between the molecules or atoms of the substance but the temperature remains the same; in the graph shown we notice that we have two portions where the temperature remains constant 20° and 120°. Since vaporizing happens at greater temperature that solid to liquid change of state we conclude that the region where this happens is 120°; therefore, the answer is A.

Answer:

The total amount of dissolved salts in water is called, salinity.

Explanation:

Answer:

All soft drinks contain water. When soft drink bottles are chilled in sub-zero temperatures, the water on account of its anomalous expansion expands. Thus, to provide space for expanding water, soft drink bottles are not completely filled as otherwise they will burst.

Explanation:

Answer:

Soft drink bottles are filled leaving some space between the lid/cap and the liquid level.

Explanation:

The reason is that the soft drinks are cooled below room temperature.  Sometimes they are kept in the hot Sun and weather.  They are subject to a big temperature variation.  Also, there are gases like CO2 mixed in the drink.  So the gases come out of the liquid and expand due to heat.  That creates high pressure.

Water expands when it is cooled to 4 deg. C.  But the bottle (glass) contracts when it is cooled.  So if there is no air gap,  then volume of water (cool drink) will become more than the inside volume of the bottle.  Then the bottle will break due to pressure from water expansion around 8 deg. to 4 deg.C.

When a bottle is opened, due to pressure difference, and temperature difference, the gases come out of drink in the form of bubbles.  So cold drink overflows out.

Also, the soft drink bottles are capped tightly.  When an opener is used to open it using some force upwards, the pulling force also moves the soft drink bottle upwards.  So just after the lid comes off, the top part of the drink comes out due to the pull.  So some drink spills on people who open or, it falls outside.

In order to prevent these problems, some gap is left open between the surface of the soft drink and the top of the bottle.

Answer:

3.485e+6 inches. hope this helps

Answer:

What I got was a big number but it got around 3.485e+6

Explanation:

The height of the building is   13.180meters.

Since, we are given the length of window as 1.30m and we are also given the time duration the ball takes to pass the window which is 0.127sec.

For the window:

Length of window=1.30m--------(eq1)

Therefore, we apply newton second law of equation

=>S = ut+(1/2)at²

Therefore, putting the values on above equation, we get

=>1.30=u×0.127+(1/2×9.8)×(0.127)²

=>1.30-(4.9×0.127×0.127)=u×0.127

=>1.30-0.07=u×0.127

=>u×0.127=1.220

=>u=10.15m/sec.

Applying newton first equation of motion at the bottom of window

=>v=u+at

=>v=10.15+9.8×0.127

=>v=10.15+1.2446

=>v=11.3946

Now when ball reaches the bottom of the building, its velocity will be zero and the final velocity at the bottom of window will act as initial velocity for finding the distance after the bottom part of window

For bottom of the window

So, we apply newton third equation of motion for finding the distance from the bottom of window

=>v²-u²=2aS

=>0-(11.3946)²=2×9.8×S

=>S=129.836/19.6

=>S=6.624meters-------(eq2)

Now, for finding  the distance above the window ,we have final velocity of ball the top of the window, and initially ball is dropped so, we apply newton third law of motion for the top part of the building

For above of the window

=>v²-u²=2aS

=>(10.15)²-0=2×9.8×S

=>S=5.256m-------(eq3)

Combining eq1,eq2 and eq3,we get

=1.30+6.624+5.256=13.180m

Hence, the building height is 13.180metres.

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