Which of these should you always do at the end of a calculation

\(\texttt{mass}=\dfrac{weight}{g}\)

weight = 1225N

acceleration due to gravity = 9.8 m/s^2

\(\texttt{mass}=\dfrac{1225}{9.8}\)

\(\fbox{mass = 125 kg}\)

Cheese is made of casein protein, which is originally made from milk and is high in protein. The texture of the cheese is determined by the quality of the milk, so cow's milk cheese differs from goat's milk cheese.

Diary products are made from milk, such as cheese, curd, yogurt, etc., but all of them have different nutrients. The quality of these dairy products depend upon the quality of the milk, as some milking animals have a higher concentration of fats in their milk than other animals. These dairy products are used in different industrial sectors, such as for making ice cream, chocolate, and different food products.

Hence, cheese is made up of casein proteins that are present in the milk.

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Answer:

\(400000\ \text{N/C}\)

Explanation:

\(q_1\) = Charge at 3000 m = 40 C

\(q_2\) = Charge at 1000 m = -40 C

\(r_1\) = 3000 m

\(r_2\) = 1000 m

k = Coulomb constant = \(9\times10^9\ \text{Nm}^2/\text{C}^2\)

Electric field due to the charge at 3000 m

\(E_1=\dfrac{k|q_1|}{r_1^2}\\\Rightarrow E_1=\dfrac{9\times 10^9\times 40}{3000^2}\\\Rightarrow E_1=40000\ \text{N/C}\)

Electric field due to the charge at 1000 m

\(E_2=\dfrac{k|q_2|}{r_2^2}\\\Rightarrow E_2=\dfrac{9\times 10^9\times 40}{1000^2}\\\Rightarrow E_2=360000\ \text{N/C}\)

Electric field at the aircraft is \(E_1+E_2=40000+360000=400000\ \text{N/C}\).

Answer:

Primary Succession is defined as the type of ecological succession, which occurs or start from the barren, uninhabited and unoccupied areas, such as the newly formed pond, rock, dunes, etc., while such kind of succession, which occurs in the area where there was the existence of life previously but got abandoned due to natural disturbances like deforestation, natural calamities (flood, earthquake, tsunami), the field with no vegetation is known as Secondary Succession

Explanation:

Some examples of primary succession include the formation of a new ecosystem after a volcano, glacier outbursts, or a nuclear explosion. Some examples of secondary succession include succession after fire, harvesting, logging, or abandonment of land or the renewal after a disease outbreak

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Answer:

The truck will undergo the largest change in momentum if it has a greater mass than the small car.

Explanation:

The change in momentum of an object can be calculated using the equation:

Δp = m * Δv

where Δp represents the change in momentum, m represents the mass of the object, and Δv represents the change in velocity.

Since we are comparing the change in momentum of the car and the truck, we need to consider the masses of both vehicles.

Let's assume the mass of the car is represented by m_car, and the mass of the truck is represented by m_truck.

Since both vehicles collide head-on, the change in velocity (Δv) will be the difference between their initial velocities, considering that they are moving in opposite directions:

Δv = v_truck - v_car

Now, let's compare the change in momentum for the car and the truck:

For the car:

Δp_car = m_car * Δv

For the truck:

Δp_truck = m_truck * Δv

Comparing the magnitudes of the change in momentum, we can neglect the negative sign:

|Δp_car| = |m_car * Δv|

|Δp_truck| = |m_truck * Δv|

Since both Δv and Δp are positive values, we can conclude that the vehicle with the greater mass will undergo the largest change in its momentum.

Therefore, if the mass of the truck (m_truck) is greater than the mass of the car (m_car), then the truck will undergo the largest change in its momentum. Conversely, if the mass of the car is greater, then the car will undergo the largest change in its momentum.

Answer:

CO2 emissions from fossil fuel burning should be minimized at all cost. The CO2 are gotten when the carbons from hydrocarbons react with air(oxygen). This gas erodes the ozone layer which makes the melting of ice caps faster due to increased amount of heat radiations on the earth. This is the only best and permanent solution to the reduction of the amount of heat rays on the earth which is a global problem.

Objects which reflects back the sunrays could also be inserted into the sea to prevent the melting of the ice caps.

The term that describes the given graph is a negative correlation, linear, inversely proportional relationship

Regression evaluation is a similar method for inspecting the connection between a final results variable and one or extra threat elements or confounding variables (confounding is mentioned later). The end result variable is likewise referred to as the reaction or based variable, while the threat elements and confounders are referred to as predictors, explanatory variables, or unbiased variables. The based variable in regression evaluation is indicated with the aid of using "Y," whilst the unbiased variables are denoted with the aid of using "X."

The path of the hyperlink is indicated with the aid of using the signal of the correlation coefficient. The correlation coefficient's price displays the electricity of the hyperlink.

It is vital to spotlight that whilst there can be a non-linear dating among non-stop variables, calculating a correlation coefficient does now no longer display this. As an end result, it's miles usually vital to investigate the statistics well earlier than setting up a correlation coefficient. Graphical representations are very powerful for investigating relationships among variables.

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The resultant of two displacement vectors having opposite directions is the difference of the two displacements, having the same direction as the smaller vector.

When two displacement vectors have opposite directions, it means they are pointing in opposite ways. In other words, one vector is in the opposite direction of the other. To find the resultant of these vectors, we need to subtract one vector from the other.

If we consider two displacement vectors, let's say vector A and vector B, and they have opposite directions, we can represent them as A and -B.

To find the resultant, we subtract vector B from vector A: A - (-B) or A + B.

The resultant will have the same direction as the smaller vector. This is because when we subtract a larger vector from a smaller vector, the resultant will have the direction of the smaller vector.

Therefore, the correct option is: "The resultant is the difference of the two displacements, having the same direction as the smaller vector."

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To calculate the speed of the electrons in terms of the speed of light, we can use the relativistic kinetic energy equation:

KE = (γ - 1)mc^2

where KE is the kinetic energy of the electron, m is its rest mass, c is the speed of light, and γ is the Lorentz factor:

γ = 1/√(1 - v^2/c^2)

where v is the velocity of the electron.

To find v, we can use the relationship between kinetic energy and voltage:

KE = qV

where q is the charge of the electron and V is the voltage difference.

Substituting qV for KE, we get:

qV = (γ - 1)mc^2

Rearranging, we get:

γ = 1 + qV/mc^2

Substituting q = -1.6 x 10^-19 C (the charge of the electron), V = 295 kV, and m = 9.11 x 10^-31 kg (the rest mass of the electron), we get:

γ = 1 + (-1.6 x 10^-19 C)(295 x 10^3 V)/(9.11 x 10^-31 kg)(3 x 10^8 m/s)^2

γ = 1.344

Finally, we can calculate the speed of the electrons in terms of the speed of light:

γ = 1/√(1 - v^2/c^2)

1.344 = 1/√(1 - v^2/(3 x 10^8 m/s)^2)

Squaring both sides and solving for v, we get:

v = 0.9964c

Therefore, the speed of the electrons is 0.9964 times the speed of light

Answer:

H = Vy t - 1/2 g t^2       height after time t

H = g t^2 / 2        initial Vy = 0  and take down as positive

t = S / Vx = 280 / 52,7 = 5.31 sec    time to travel horizontally

H = g / 2 * 5.31^2  = 138 m         height of tee above fairway

The vertical acceleration the rocket should have so that his apparent weight is equal to his true weight on earth is 8.2 m/s².

The given parameters;

acceleration due to gravity on moon, g = 1.6 m/s²

The true weight of the rocket is calculated from Newton's second law of motion;

F = ma

Apparent weight on moon = true weight on Earth

mg + ma =  mG

where;

G is the acceleration due to gravity on Earth

m(a + g) = mG

a + g = G

a = G - g

a = 9.8 - 1.6

a = 8.2 m/s²

Thus, the vertical acceleration the rocket should have so that his apparent weight is equal to his true weight on earth is 8.2 m/s².

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Answer: 6 m

Explanation:

30 = 5 * d

d = 30/5

d = 6 m

The sum of the separate voltages in a series circuit, or V = V1+V2, determines the total voltage. Its total resistance (aka load) of a circuit is, as you might assume, equal to the sum individual resistors, R = R1 + R2.

There are two or even more pathways for current to travel through in a parallel circuit. Each element of the parallel connection has the same voltage applied to it. The total flow of current from the source is equivalent to the total of a currents across each path.

If the identical amount of current passes through each resistor at the same time, two or even more resistors are considered to be linked in series. That voltage over each resistor in such circuits varies. If any resistor in a linked to the concepts breaks or has a problem, the circuit as a whole is shut off.

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Answer: Movement of Water. Surface movement includes rivers, streams, creeks, lakes, ponds, and human-made "flood" control.

Water bodies—such as rivers and streams—flow downhill until they flow into larger bodies of water—such as lakes and oceans. Some rivers and streams can flow over large surface areas; for example, the Amazon River flows across 4,345 miles of the continent of South America.

The final temperature of the water is approximately 19.8°C.First, we need to calculate the heat lost by the water as it cools down from 80°C to the final temperature.

We can use the formula: Q = m × c × ΔT where Q is the heat lost, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature.

The mass of water in the calorimeter is:

90 ml = 90 g

The heat lost by the water is:

Q1 = 90 g × 4.18 J/g°C × (80°C - T)

Q = m × Lf + m × c × ΔT

The mass of ice added to the water is 10 g. The heat gained by the ice is:

Q2 = 10 g × 334 J/g + 10 g × 4.18 J/g°C × (T - (-20°C))

where 334 J/g is the heat of fusion of water.

Since the calorimeter is insulated, we know that the heat lost by the water must equal the heat gained by the ice. Therefore:

Q1 = Q2

90 g × 4.18 J/g°C × (80°C - T) = 10 g × 334 J/g + 10 g × 4.18 J/g°C × (T - (-20°C))

Simplifying and solving for T, we get:

T = 19.8°C

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Answer:

The work is done by the truck pulling the car 1 km is 1,212,436 J

Explanation:

Work is defined as the force that is applied on a body to move it from one point to another. When a force is applied, an energy transfer occurs. Then it can be said that work is energy in motion.

So work is one of the forms of energy transmission between bodies. To perform a job, you must exert a force on a body and it moves.

In the International System of Units, work is measured in Joule. A Joule is the work that a constant force of 1 Newton does on a body that moves 1 meter in the same direction and direction as the force. Then, Joule is equivalent to Newton per meter.

The work is equal to the product of the force by the distance and by the cosine of the angle that exists between the direction of the force and the direction that travels the point or the object that moves:

Work= Force*Distante* cos (θ)

In this case:

Replacing:

Work= 1,400 N* 1,000 m* cos (30°)

Work= 1,212,435. 565 Joule≅ 1,212,436 J

The work is done by the truck pulling the car 1 km is 1,212,436 J

Answer:

Explanation:

Planetary Flyby:

The spacecraft does not go into orbit around the planet; instead, it uses the planet's gravity to change its speed and direction.

The spacecraft's closest approach to the planet is usually brief, ranging from a few minutes to a few hours.

The spacecraft is able to capture images and data during the brief encounter with the planet.

The spacecraft's trajectory can be adjusted to perform multiple flybys of different planets or moons.

The spacecraft does not require a large amount of fuel to perform a flyby, making it a cost-effective option for exploration.

Flybys are useful for studying a planet's atmosphere, magnetic field, and gravitational field.

Planetary Orbit Insertion:

The spacecraft goes into orbit around the planet, allowing for long-term study and data collection.

The spacecraft's orbit can be adjusted to achieve different scientific objectives, such as mapping the planet's surface or studying its atmosphere.

The spacecraft must have enough fuel to slow down and enter orbit, making it a more expensive option than a flyby.

The spacecraft's orbit can be stable or elliptical, depending on the scientific objectives and mission requirements.

The spacecraft may require several trajectory adjustments to achieve the desired orbit.

Orbit insertion allows for more detailed and comprehensive study of a planet's geology, climate, and magnetic field.

The important role of the female reproductive system in humans is to produce eggs.

The external and internal sexual organs that play a role in childbirth make up the female reproductive system. In humans, the female reproductive system matures to maturity at puberty in order to produce gametes and carry a fetus to term. The female reproductive system is undeveloped at birth. The vagina, uterus, oviducts, and ovaries are the internal sex organs. Infections occur frequently in the female reproductive tract, which includes the uterus, fallopian tubes, and vagina.

The cervix, which connects the vagina to the uterus, enables for sexual activity and birthing. The embryo grows into the fetus in the uterus, often known as the womb.

Therefore, the important role of female reproductive system is to produce eggs.

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The work-energy theorem states that the change in the kinetic energy of an object will be equal to the net work done on the object.

Mathematically, it can be expressed as;

ΔKE = W

Where; ΔKE represents the change in kinetic energy of the object,

W represents the net work done on the object.

This theorem states that when work is done on an object, it results in a change in its kinetic energy. If work is done on an object, its kinetic energy increases, and if work is done by an object, its kinetic energy decreases.

This theorem is a fundamental principle in physics that relates the concepts of work and energy, and it is often used to analyze the motion and behavior of objects in various physical systems.

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1. Charges qB and qC have different signs.

2. The ratio qC/qB is 9/4.

3. The sign of charge qA must be the same as that of either qB or qC lesser magnitude.

Electric force is the attracting or repulsive interaction between any two charged things. Similar to any force, Newton's laws of motion describe how it affects the target body and how it does so.

1. As net force on qA is zero, charges qB and qC have different signs.

2. The ratio qC/qB is = (3d)²/(2d)² = 9/4.

3. As the net force on qA is zero,  the sign of charge qA must be the same as that of either qB or qC lesser magnitude.

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Let m be the mass of the second car, so the first car's mass is 2m.

Let K be the kinetic energy of the second car, so the first car's kinetic energy would be K/2.

Let u and v be the speeds of the first car and the second car, respectively. At the start,

• the first car has kinetic energy

K/2 = 1/2 (2m) u ² = mu ²   ==>   K = 2mu ²

• the second car starts with kinetic energy

K = 1/2 mv ²

It follows that

2mu ² = 1/2 mv ²

==>   4u ² = v ²

When their speeds are both increased by 2.76 m/s,

• the first car now has kinetic energy

1/2 (2m) (u + 2.76 m/s)² = m (u + 2.76 m/s)²

• the second car now has kinetic energy

1/2 m (v + 2.76 m/s)²

These two kinetic energies are equal, so

m (u + 2.76 m/s)² = 1/2 m (v + 2.76 m/s)²

==>   2 (u + 2.76 m/s)² = (v + 2.76 m/s)²

Solving the equations in bold gives u ≈ 1.95 m/s and v ≈ 3.90 m/s.

High tides occur when the sun and moon are at right angles to one another. This is because the gravitational pull of the moon and the sun combine to create larger-than-normal tides, known as spring tides. The correct option is A.

Gravitational pull is the force of attraction that exists between two objects with mass. The greater the mass of an object, the greater its gravitational pull.

Option B, "Low tides occur when the sun and moon are at right angles to one another," is incorrect. Low tides occur when the sun and moon are at a 90-degree angle (or "quarter moon") to each other, but this position also results in high tides on the opposite side of the Earth.

Option C, "The gravitational pull of the sun and moon combined creates larger than normal tides," is partially correct. The gravitational pull of both the sun and moon does contribute to the tides, but the specific position depicted in the image (sun and moon at right angles to each other) does not necessarily create larger than normal tides.

Option D, "The gravitational pull of the sun reduces the moon's gravitational pull to create moderate tides," is also incorrect. The sun's gravitational pull does have an effect on the tides, but it does not reduce the moon's gravitational pull. Rather, the combined gravitational pull of the sun and moon creates the tides we observe.

Therefore,The accurate description of the tide represented by the image below is option A: "High tides occur when the sun and moon are at right angles to one another."

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The distance of the image formed by the lens is at 10.7 cm on the ruler.

option C.

The distance of the image is calculated by applying lens formula as shown below;

1/f = -1/u + 1/v'

where;

From the diagram, the focal length of the lens = 8.5 cm

the object distance = 3 cm

The image distance is calculated as follows;

1/v' = 1/f + 1/u

1/v' = 1/8.5 + 1/3

1/v' = 0.45

v' = 1/0.45

v' = 2.21 cm

The position of the image on the rule is calculated as follows;

v = v'  +  8.5 cm

v = 2.21 cm + 8.5 cm

v = 10.71 cm

Thus, the ray - diagram shows the position or distance of the image formed.

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Answer:

adjacent flat spots on his skin

Answer:

You didn't provide answer choices but I'd assume it's pressure.

Net force at highest position is force due to gravity= m*g

net acceleration of ball at highest point is = g towards ground

Force can be understood as the push or pull on an object with mass that  causes it to change its velocity. Force is external and is capable of changing a body's state of rest or motion.

When a person kicks the ball with initial force Fo,  then energy associated with this force is transferred to the ball in the form of momentum change and hence velocity of ball is non zero.

In this case impulse imparted by the force is equal to change in momentum of the ball.

The only force acting on the ball at his highest is is the force due to gravity.

Net force on ball = m *g

a = F/m

= m*g/m=g

Net force at highest position is force due to gravity= m*g

net acceleration of ball at highest point is = g towards ground

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Answer:

Explanation:

The lift is going down with acceleration

Initial speed u = 0

Final speed v = 6 m/s

distance s = 15.25 m

acceleration a = ?

v² = u² + 2 a s

6² = 0 + 2 x a x 15.25

a = 1.18 m /s²

Elevator is going down with acceleration  .

mg - T = ma where T is tension in the cable .

722 x 9.8 - T = 722 x 1.18

7075.6 - T = 851.96

T = 6223.64 N .

Humans would need a breathable environment like that on Earth in the living section of a colony on Venus in order to survive. Nitrogen, oxygen, and trace amounts of other gases, such as carbon dioxide, make up the majority of the atmosphere on Earth.

The clouds are made of sulfuric acid, and the atmosphere is primarily carbon dioxide, the same gas that causes the greenhouse effect on Venus and Earth. And the heated, high-pressure carbon dioxide acts corrosively at the surface.

For instance, compared to Earth, which has 99% nitrogen and oxygen in its atmosphere, Venus and Mars both contain more than 98% carbon dioxide and nitrogen.

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Sarah’s velocity immediately after the collision is 4.3 m/s west.

option C is the correct answer.

Sarah’s velocity immediately after the collision is calculated by applying the principle of conservation of linear momentum as follows;

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

where;

Sarah’s velocity immediately after the collision is calculated as;

179 (1.6) + 163(3.9) = 179v₁ + 163(0.9)

922.1 = 179v₁ + 146.7

179v₁ = 775.4

v₁ = 4.3 m/s

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The value of  the missing resistance, R₃ = 10.35 ohms.

The value of the missing voltages, V₁ = 6 V, V ₃ = 24 V.

The value of the missing currents, I₁ = 3 A, I₃ = 2.32 A.

The values of the missing component of the circuit is calculated by applying the following formula.

The total resistance of the circuit;

For R₂, R₃, 1/R = 1/R₂ + 1/R₃

1/R = 1/12 +  1/R₃

1/R = (R₃ + 1)/(12R₃)

R = 12R₃ / (R₃ + 1)

For, R₁, R₂ and R₃, total resistance;

R = 12R₃ / (R₃ + 1) + R₁

R = [12R₃ / (R₃ + 1)] + 2

R = (12R₃ + 2(R₃ + 1) ) / (R₃ + 1)

R = (12R₃ + 2R₃ + 2 ) / (R₃ + 1)

R = (14R₃ + 2 ) / (R₃ + 1)

The total current in circuit is calculated as;

I = V/R

I = 30 / R

I = ( 30 ) / (14R₃ + 2 ) / (R₃ + 1)

I = (30R₃ + 30) / (14R₃ + 2) ------- (1)

The voltage in parallel circuit is the same

V₂ = V₃ = 24 V

V₃ = IR₃

24 = IR₃

I = 24/R₃  --------- (2)

Solve (1) and (2) together as follows;

24/R₃ = (30R₃ + 30) / (14R₃ + 2)

30R₃² - 306R - 48 = 0

Solve the quadratic equation, using formula method.

R₃ = 10.35 ohms

I₃ = V₃/R₃

I₃ = 24 V / 10.35

I₃ = 2.32 A

If the voltage drop at R₂ and R₃ = 24 V, the voltage drop at R₁ = 30V - 24 V = 6 V

The current in R₁ = V₁/R₁ = 6 V / 2 V = 3 A

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