A small statue is recovered in an archaeological dig. Its weight is measured to be 96 lb, and its volume 0.08 ft3.a.What is the statue’s weight density in lbs/ft3? b.What substance is it?

Answers

Answer 1

ANSWER:

a. 1200 lb/ft^3

b. Gold

STEP-BY-STEP EXPLANATION:

Given:

Weight (W) = 96 lb

Volume (V) = 0.08 ft^3

a.

Weight density is equal to the quotient of weight to volume, therefore:

\(\begin{gathered} d=\frac{W}{V} \\ \\ \text{ We replacing} \\ \\ d=\frac{96}{0.08} \\ \\ d=1200\text{ lb/ft}^3 \end{gathered}\)

b.

We can say that this weight density is equal to the weight density of Gold


Related Questions

During the summer on a hot day, the expansion gap between two steel railroad tracks is 1.25mm. During the winter on a cold day, the expansion gap is 2.75mm. Determine the change in temperature between the two days if the railroad tracks are 3.00m long.

Answers

The linear coefficient of thermal expansion for steel is 11 ×10⁻⁶ /°C. Then the temperature change between the days if the railroad tracks are 3 m long is 30.3 °C.

What is thermal expansion ?

Thermal expansion is the change in length of a material with respect to change in temperature. The measure of expansion by an increase of 1°C is called its linear coefficient of thermal expansion.

We have the relation between change in length ΔL and change in temperature ΔT with linear coefficient α as follows:

ΔL = α L ΔT

Given ΔL1 = 3 - 0.0012 m = 2.998

ΔL2 = 3 - 0.0027m = 2.997

then ΔL1 - ΔL2 = α L ΔT = 0.001

α for steel = 11 ×10⁻⁶ /°C

ΔT  = 0.001/ (11 ×10⁻⁶ /°C × 3)

      = 30.3 °C

Therefore, the temperature change is 30.31 °C.

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the letter R in the world Warm reminds you that warm air does what

Answers

Warm air reminds me of osmosis

Sarah rides her horse with a constant speed of 8 km/h. How far can she travel in 1 1/2 hours?

Answers

Answer:

12 Kilometers

Explanation:

To find the distance Sarah travels in a given time, we can use the formula:

distance = speed * time

In this case, the speed of the horse is 8 km/h and the time Sarah travels is 1 1/2 hours.

distance = 8 km/h * 1 1/2 hours = 12 km

So, Sarah can travel 12 kilometers in 1 1/2 hours.

Two identical clocks are set to 12 noon time when on the ground at rest relative to the ground. One clock is placed in a spacecraft, sent into space and accelerated to a speed of v = 0.93 x 108 m/s. What will the moving clock read if the first clock reads 6 p.m.? Express your answer as the number of minutes from 6 pm.

Answers

First, for this problem, we will need to know the formula for time dilation

\(t=\frac{t_0}{\sqrt{1-\frac{v^2}{c^2}}}\)

Where t is the time in the reference frame on earth

t0 is the time on the ship

v is the velocity relative to lightspeed

and c is light speed in a vacuum

For this problem, we will need to convert .93x10^8 to a fraction of light speed.

.93x10^8 = .31c

Now, we can plug in the numbers we get from the given

t0 = 6 hours since the ship has been in the air for 6 hours

\(t=\frac{6}{\sqrt{1-\frac{(.31c)^2}{c^2}}}\)

t = 6.31089

For the answer to be valid, we will convert .31089 to minutes by multiplying it by 60 (60 minutes in a hour)

18.654 minutes

What intermolecular force is the closest representation to the interaction between the balloon and the water?

Answers

Dipole-Dipole interaction

this interaction describes the miscibility of polar solvents and their interactions resulting in characteristics like melting points, boiling points, etc.

The intermolecular force is the closest representation to the interaction between the balloon and the water is Dipole-Dipole interaction.

What is  intermolecular force?

The intermolecular force is the force of attraction between atoms, molecules, and ions when they are placed close to each other.

This force denotes the miscibility of polar solvents and their interacting characteristics like melting points and boiling points.

Thus, the intermolecular force is the closest representation to the interaction between the balloon and the water is Dipole-Dipole interaction.

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Describe the evidence of chemical changes that occurred during the etching process in:

a. your circuit board.

b. the copper chloride etching solution.

Answers

Not a straight up answer, but moreover to help you get it: (Circuit Boards)

Aside from the tasks it performs, perhaps the most important function of a circuit board is providing a way to integrate the electronics for a device in a compact space. A PCB allows components to be correctly connected to a power source while being safely insulated. Also, circuit boards are less expensive than other options because they can be designed with digital design tools and manufactured in high volume using factory automation.

Partially straight up, helping you  get the answer: (Copper Chloride)

Copper(II) chloride is the chemical compound with the chemical formula CuCl 2. This is a light brown solid, which slowly absorbs moisture to form a blue-green dihydrate.

a tank whose bottom is a mirror is filled with water to a depth of 19.8 cm . a small fish floats motionless 6.40 cm under the surface of the water. part a what is the apparent depth of the fish when viewed at normal incidence to the water? express your answer in centimeters. use 1.33 for the index of refraction of water. view available hint(s)

Answers

A tank whose bottom is a mirror is filled with water to a depth of 19.8 cm . a small fish floats motionless 6.40 cm under the surface of the water.The apparent depth of the fish when viewed at normal incidence to the water is approximately 4.81 cm.

To find the apparent depth of the fish when viewed at normal incidence to the water, we can use the concept of apparent depth and the Snell's law.

The apparent depth (D') of an object submerged in a medium can be calculated using the formula:

D' = D / n

Where D is the actual depth of the object and n is the refractive index of the medium.

In this case, the actual depth of the fish is 6.40 cm and the refractive index of water is 1.33.

Plugging in the values into the formula, we get:

D' = 6.40 cm / 1.33

Calculating this, we find:

D' ≈ 4.81 cm

Therefore, the apparent depth of the fish when viewed at normal incidence to the water is approximately 4.81 cm.

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An electrical resistor immersed in a liquid produces 65. 0 W of electrical energy for 120

seconds, which heats the 0. 780 kg mass of liquid, causing it to rise in temperature from

18. 55°C to 22. 54°С. Find the average specific heat capacity of the liquid in this temperature

range. Assume that negligible heat is transferred to the container that holds the liquid and that

no heat is lost to the surroundings

Answers

The average specific heat capacity of the liquid in this temperature is 2506 J/kg/C

The specific heat capacity, or massic heat capacity, of a substance is calculated using thermodynamics as the heat capacity of a sample of the substance divided by the mass of the sample.A substance's specific heat capacity may be substantially higher when heated in an open vessel that permits expansion than when heated in a closed vessel that prevents expansion, especially when the substance is a gas (specific heat capacity at constant pressure) (specific heat capacity at constant volume).

the amount of heat input to the liquid is 65W x 120s = 65(J/s) x 120s = 7800J

then we have that

Q = \(m\times c \times \delta t\) so that

c = (\(\frac{Q}{m\times\delta t}\)) = \(\frac{7800J}{0.78kg * 3.99C}\) = 2506 J/kg/C

if some of the energy heated the container or surroundings, then less energy actually went into heating the liquid; if less energy caused the 3.99C temp increase, the specific heat must be less, so the value we just calculated is an overestimate.

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A box sitting still on the ground by itself has a Normal Force of 700N, what is the mass? (gravity’s acceleration is 9.80 m/s²)

Answers

Answer:

Mass, m = 71.42 kg

Explanation:

Given that,

Normal force acting on a box, F = 700 N

We need to find the mass of a box. Let it is m. Normal force acting on an object is balanced by its weight such that,

F = mg

Where m is the mass of the box

\(m=\dfrac{F}{g}\\\\m=\dfrac{700\ N}{9.8\ m/s^2}\\\\m=71.42\ kg\)

So, the mass of the box is 71.42 kg.

what index of refraction halves the wavelength that light has in a vacuum?
a) 1.33
b) 1.50
c) 1.41
d) 2.00
e) 5.00

Answers

The index of refraction that halves the wavelength that light has in a vacuum is 2.00. Therefore, the correct option is (d) 2.00.

When light passes from one medium to another, it changes its velocity, and thus its wavelength. The index of refraction is a measure of how much light is bent when passing through a medium and can be calculated using Snell's Law:n1sin θ1=n2sin θ2where n1 and n2 are the indices of refraction of the two media, and θ1 and θ2 are the angles that the light makes with the normal line in the first and second media, respectively.

For a given angle of incidence, we can see that the index of refraction is directly proportional to the sine of the angle of refraction, which means that as the angle of refraction increases, so does the index of refraction. Now, let's assume that light is passing from vacuum (with index of refraction n1=1) to a medium with an unknown index of refraction n2.

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An object weighing 6 kg moving at a speed of 12 m / s was stopped by a force of 18 newton. At what time does the subject accelerate?​

Answers

Answer:

F ΔT = Δ(M V)

Change in momentum is equal to applied force* time

Δ(M V) = 6 kg * 12 m / s = 72 kg-m / s

ΔT = 72 kg-m/s / 18 kg-m/s^2 = 6 s     after 6 sec it will tend to rebound

Which is a sedimentary rock?
A: cools down
B: has large crystals
C: forms in layers
D: is formed from pressure and heat
ANSWER ASAP!!!

Answers

Answer:

d. is formed from pressure and heat

Explanation:

it is formed from hot magam

As an airplane takes off, the air flows across the wings of the airplane. Which of the following would be the best description? I. The air flow across the top of the wing is greater than the air flows across the bottom of the wing. II. The air flow across the top and bottom of the wing is the same. III. The lift force is present because the pressure across the top is less than the pressure across the bottom of the wing.

Answers

Answer:

III. The lift force is present because the pressure across the top is less than the pressure across the bottom of the wing.

Explanation:

Which term best matches the description of an earthquake?

Where all mass movements occur

Acts as a lubricant to reduce friction between soil grains

Determines how much material is available for mass movement

Occurs when a sheet of rock moves downhill on a sliding surface

Can trigger a sudden mass movement

A force that works to pull material downslope

Answers

can tigger sudden mass movement

What is the answer? I am trying to do some exercise

What is the answer? I am trying to do some exercise

Answers

Answer:

fourth quadrant.

Explanation:

First, let us see how many 2 pi radians are there in 40 pi /7. The answer is found by dividing 40 pi / 7 by 2 pi

\(\frac{40\pi}{7}\div2\pi=\frac{40\pi}{7}\times\frac{1}{2\pi}\)

\(=\frac{40\pi}{7}\times\frac{1}{2\pi}=\frac{20}{7}=2R6\)

Meaning ( 40 pi / 7 ) / ( 2pi ) = 2 Remainder 6

Meaning there are 2 complete revolutions in ( 40 pi / 7 ).

How about the revolution that is incomplete?

Now,

\(\frac{40\pi}{7}-2(2\pi)=\frac{40}{7}\pi-4\pi\)

\(=\frac{12}{7}\pi\)

\(=1.71\pi\)

Which if we plot, looks like

Meaning that 40 pi / 7 lies in the fourth quadrant.

What is the answer? I am trying to do some exercise

Each of the following statements describes an astronomical measurement. Place each measurement into the appropriate bin based on the type of telescope you would use to make it.

Answers

I'm sorry, but you have not provided the options for the different bins to sort the astronomical measurements into. Please provide the full question with all the necessary information so I can assist you better.
To categorize each astronomical measurement based on the type of telescope used, it's important to understand the two main types of telescopes: refracting telescopes and reflecting telescopes. Refracting telescopes use lenses to bend light while reflecting telescopes use mirrors to reflect light.

1. Refracting Telescope:
- Measurements requiring high contrast, such as observing planets or the Moon
- Measurements of bright objects, where light-gathering power is less important

2. Reflecting Telescope:
- Measurements that require large light-gathering power, such as observing faint galaxies or nebulae
- Measurements needing high resolution, like imaging fine details on distant celestial objects

Remember to consider the specific requirements of each measurement when determining the appropriate telescope type. Refracting telescopes are often used for planetary observations while reflecting telescopes are more suitable for deep-sky objects.

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DO NOT ANSWER IF YOU DONT KNOW What is the medium for a wave:
i. At the beach?
ii. In a football stadium?
iii. Of sound?​

Answers

Water fans/people air

Explain why it is easier to stop a tennis ball than a cricket ball moving with the same speed.

Answers

Overall, the combination of size, weight, surface texture, and bounce contribute to it being easier to stop a tennis ball than a cricket ball moving at the same speed.It is easier to stop a tennis ball than a cricket ball moving with the same speed due to a few reasons.

Firstly, the size and weight of the balls play a role. A cricket ball is heavier and denser compared to a tennis ball, which makes it harder to stop. The increased mass of the cricket ball means it has more momentum, making it more difficult to halt its motion.

Secondly, the shape of the balls affects their stopping ability. A cricket ball is spherical and has a smooth surface, while a tennis ball is covered in felt and has a fuzzy texture. The texture of the tennis ball creates more friction with the surface it comes in contact with, providing more stopping power. The smooth surface of the cricket ball reduces friction, making it harder to stop.

Lastly, the bounce of the balls also differs. A tennis ball has a higher bounce compared to a cricket ball. The higher bounce means that more kinetic energy is conserved in the tennis ball, making it easier to absorb and stop its motion.

Overall, the combination of size, weight, surface texture, and bounce contribute to it being easier to stop a tennis ball than a cricket ball moving at the same speed.

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If x(t) and y(t) denote the system input and output, respectively, state whether the following systems are linear or nonlinear, causal or noncausal, time-variant or time-invariant, memoryless or with memory: a) y(t) = tx(t) b) y(t) = ax(t) +b, where a and b are constants. c) y(t) = ax² (t) +bx(t)+c, where a, b and c are constants. d) y(t) = x(T) dT

Answers

y(t) = tx(t) is a linear system, causal, time-variant, and with memory. Let's show that this system is linear using superposition. Suppose x1(t) and x2(t) are two input signals, and we apply them to the system to get y1(t) and y2(t), respectively.

Consider the input signal x(t) = a1x1(t) + a2x2(t),

where a1 and a2 are constants.

Then the output of the system is given by

y(t) = tx(t) = t(a1x1(t) + a2x2(t)) = a1

tx1(t) + a2

tx2(t) = a1y1

(t) + a2y2(t).

Therefore, this system is linear.b) y(t) = ax(t) + b,

where a and b are constants is a linear system, causal, time-invariant, and with memory.Let's show that this system is linear using superposition. Suppose

x1(t) and x2(t) are two input signals, and we apply them to the system to get y1(t) and y2(t), respectively. Consider the input signal

x(t) = a1x1(t) + a2x2(t),

where a1 and a2 are constants. Then the output of the system is given by

y(t) = ax(t) + b = a(a1x1(

t) + a2x2(t)) + b = a1ax1(t) + a2ax2(t) + b = a1y1(t) + a2y2(t).

Therefore, this system is linear.c)

y(t) = ax²(t) + bx(t) + c,

where a, b, and c are constants, is a nonlinear system, causal, time-invariant, and with memory. To see that it's nonlinear, consider two input  signals, x1(t) and x2(t), and let y1(t) and y2(t) be the corresponding outputs. Let x(t) = a1x1(t) + a2x2(t), where a1 and a2 are constants.

Then the output of the system is given

byy(t) = ax²(t) + bx(t) + c = a(a1x1(t) + a2x2(t))² + b(a1x1(t) + a2x2(t)) + c ≠ a1y1(t) + a2y2(t).

Therefore, this system is .d) y(t) = x(T)dT is a linear system,   time-invariant, and with memory. Let's show that this system is linear using superposition. Suppose x1(t) and x2(t) are two input signals, and we apply them to the system to get y1(t) and y2(t), respectively. Consider the input signal x(t) = a1x1(t) + a2x2(t), where a1 and a2 are constants. Then the output of the system is given by

y(t) = x(T)dT = (a1x1(T) + a2x2(T))dT = a1x1(T)dT + a2x2(T)

dT = a1y1(t) + a2y2(t).

Therefore, this system is linear.

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what is the rate constant of a first-order reaction if the half-life is 5.70 min?

Answers

The rate constant of the first-order reaction is 0.1216 min⁻¹.

The rate constant of a first-order reaction can be calculated using the formula k = 0.693/t1/2, where k is the rate constant and t1/2 is the half-life of the reaction.

Given that the half-life of the reaction is 5.70 min, we can plug this value into the formula to find the rate constant:

k = 0.693/5.70

k = 0.1216 min¹

Therefore, the rate constant of the first-order reaction is 0.1216 min⁻¹.

It is important to note that the rate constant is specific to a particular reaction and is dependent on factors such as temperature and the presence of a catalyst. The rate constant can be used to determine the rate of the reaction and to predict the concentration of the reactants and products at any given time.

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Please help I'm so lost.
Erbium-165 has a half-life of 10.4 hours. If you start with 1,000 grams of erbium-165, how much time will it take to have 125 grams of erbium-165 left in the sample?

A. 41.6 hours
B. 31.2 hours
C. 10.4 hours
D. 20.8 hours

Answers

If you start with 1,000 grams of erbium-165, the time it  will take to have 125 grams of erbium-165 left in the sample is 20.8 hours.

option D is the correct answer.

What is half life?

Half life is the time that it takes for half of the original value of some amount of a radioactive element to decay.

If you start with 1,000 grams of erbium-165, the time it  will take to have 125 grams of erbium-165 left in the sample is calculated as follows;

1,000 ---------- 0 time

500 ----------- 10.4 hours

125 ------------- 20.8 hours

Thus, from the calculation done above, we can see that If you start with 1,000 grams of erbium-165, the time it  will take to have 125 grams of erbium-165 left in the sample is 20.8 hours.

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After performing an experiment, what is the next step that a physicist will most likely take in answering a question? Analyze results, Form a hypothesis, Develop an explanation, Submit Results for peer review

Answers

The next step after a physicist will most likely take in answering a question after performing an experiment is to analyze the results. Thus, the correct option is A.

What does Analysis of results mean?

A hypothesis can be defined as a proposed explanation for a phenomenon or an objective. For a hypothesis to be a scientific hypothesis or proven, the scientific method which is required for analysis is that one can test it and prove it.

Experimentation of a hypothesis often generates multiple measurements of the same thing or type, that is to replicate measurements, and these measurements of the hypothesis are subjected to error. Statistical analysis can be used to summarize the observations carefully by estimating the average of all the measurements, which provides an estimate of the true mean.

Therefore, the correct option is A.

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Answer: analyze results

Explanation: they always check over they're work

What is the variance and standard deviation for: 13, 15, 12, 10, 4, 16, 17, 22, 9

Answers

\(\begin{gathered} 13,15,12,10,4,16,17,22,9 \\ S\tan dard\text{ deviation}=\sigma=? \\ Variance\text{ }\sigma^2=? \\ \sigma^2=\frac{\sum ^N_{i\mathop{=}1}(x_i-\bar{x})^2)}{N} \\ N=\text{ total of data=9} \\ \bar{x}=\frac{13+15+12+10+4+16+17+22+9}{9}=\frac{118}{9} \\ For\text{ }x_i=13 \\ (x_i-\bar{x})^2=(13-\frac{118}{9})^2=(\frac{-1}{9})^2=\frac{1}{81} \\ For\text{ }x_i=15 \\ (x_i-\bar{x})^2=(15-\frac{118}{9})^2=(\frac{17}{9})^2=\frac{289}{81} \\ For\text{ }x_i=12 \\ (x_i-\bar{x})^2=(12-\frac{118}{9})^2=(-\frac{10}{9})^2=\frac{100}{81} \\ For\text{ }x_i=10 \\ (x_i-\bar{x})^2=(10-\frac{118}{9})^2=(-\frac{28}{9})^2=\frac{784}{81} \\ For\text{ }x_i=4 \\ (x_i-\bar{x})^2=(4-\frac{118}{9})^2=(-\frac{82}{9})^2=\frac{6724}{81} \\ For\text{ }x_i=16 \\ (x_i-\bar{x})^2=(16-\frac{118}{9})^2=(\frac{26}{9})^2=\frac{676}{81} \\ For\text{ }x_i=17 \\ (x_i-\bar{x})^2=(17-\frac{118}{9})^2=(\frac{35}{9})^2=\frac{1225}{81} \\ For\text{ }x_i=22 \\ (x_i-\bar{x})^2=(22-\frac{118}{9})^2=(\frac{80}{9})^2=\frac{6400}{81} \\ For\text{ }x_i=9 \\ (x_i-\bar{x})^2=(9-\frac{118}{9})^2=(-\frac{37}{9})^2=\frac{1369}{81} \\ \sum ^N_{i\mathop{=}1}(x_i-\bar{x})^2)=\frac{17568}{81}=\frac{1952}{9} \\ \sigma^2=\frac{\frac{1952}{9}}{9}=\frac{1952}{81}\approx24.1 \\ \text{The variance is }24.1 \\ For\text{ standard deviation } \\ \sigma=\sqrt{\frac{\sum^N_{i\mathop{=}1}(x_i-\bar{x})^2)}{N}} \\ \sigma=\sqrt{24.1} \\ \sigma\approx4.9 \\ \text{The standard deviation is 4.9} \end{gathered}\)

To polish leather shoes, people use shoe polish. What does this tell you about the surface of leather?

Answers

Answer: Polish creates a thin layer of wax on the surface of the leather which protects the leather from getting wet and undergoing wear and tear. It also has a lubricating effect on the leather keeping it supple and preventing the leather from drying out and cracking

6. If displacement of a particle is zero, the distance covered by
a.may or may not be zero
b.must be zero
c.must not be zero
d. Must be unity

Answers

A) it could either have moved and come back to same position or stayed there

we investigated a jet landing on an aircraft carrier. in a later maneuver, the jet comes in for a landing on solid ground with a speed of 87 m/s, and its acceleration can have a maximum magnitude of 8.55 m/s2 as it comes to rest. (a) from the instant the jet touches the runway, what is the minimum time interval needed before it can come to rest? (b) can this jet land on a small tropical island airport where the runway is 0.800 km long? (c) explain your answer.

Answers

For a successful landing the aircraft will need:

(a) A time from the instant the jet touches the runway of: 10.1754 s(b) A distance of: 0.44263 km(c) Due to the jet need just 0.44263 km of distance to landing it can land on a small tropical island airport where the runway is 0.800 km long

The formula for uniformly varied rectilinear motion (UVRM) and procedure we will use to solve this exercise is:

vf = vi + (a * t)x = (vf²-vi²)/ (2a)

Where:

x = distancevf = final velocityvi = initial velocitya = acceleration

Information about the problem:

vf= 0 m/svi = 87 m/sa = -8.55 m/s²t =?x= ?

Applying the final velocity formula, and clearing the time we get:

vf = vi + (a * t)

t = (vf – vi) /a

t = (0 m/s – 87 m/s) /-8.55 m/s²

t = -87 m/s/ -8.55 m/s²

t = 10.1754 s

Applying the distance formula, we get:

x = (vf²-vi²)/ (2a)

x = [(0 m/s)²- (87 m/s)²]/ (2 * -8.55 m/s²)

x = (0 m²/s²- 7569 m²/s²)/ -17.1 m/s²

x =  -7569  m²/s²/ -17.1 m/s²

x = 442.63 m

By converting the distance units form (m) to (km) we have

x = 442.63 m * 1 km/1000 m

x = 0.44263 km

What is acceleration?

It is a physical quantity that indicates the variation of velocity as a function of time, it is expressed in units of distance per time squared e.g.: m/sec2 ; km/h2

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we investigated a jet landing on an aircraft carrier. in a later maneuver, the jet comes in for a landing

visible light transmitting through a certain medium.
Because the light is scattered and an image cannot be clearly resolved, this medium is described as being
A . Translucent
B. Fluid
C. Opaque
D. Transparent

Answers

I think its A: Translucent hope this helps if I'm wrong I'm sorry

what is the weight of a 45kg box
____ N

Answers

The weight of a \(45 kg\) box is \(441.45 N\).

Weight refers to the measure of the force exerted on an object due to the gravitational pull of the Earth.

Given the mass of the box is \(m=45 kg\).

The weight of an object (\(W\)) can be found by multiplying the mass of the object (\(m\)) by the acceleration due to gravity (\(g\)).

So, \(W=mg\).

It is known that acceleration due to gravity, \(g=9.81 m/s^2\).

Hence, the weight of the box, \(W=(45kg)\times (9.81 m/s^2)\).

\(\Rightarrow W=441.45 (kg\cdot m/s^2)\\\Rightarrow W=441.45 N\)

Therefore, the weight of the box is \(441.45 N\).

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7th GRADE SCIENCE QUESTION PLEASE ANSWER AS FAST AS YOU CAN I NEED IT (it can be 1 day late is fine... Ok I'll give you today like this minute and you can answer it when it is posted about 1-2 days but if you can answer it now that will be great)!!!

Question #1: State the role of a nucleus in a cell.

Answers

The primary functions of the nucleus are to store the cell's DNA, maintain its
integrity, and facilitate its transcription and replication.

An x-ray beam with wavelength 0. 210 nm is directed at a crystal. As the angle of incidence increases, you observe the first strong interference maximum at an angle 70. 0 ∘. What is the spacing d between the planes of the crystal?

Answers

By using Bragg's diffraction, the spacing d is 0.112 nm.

We need to know about Bragg's diffraction to solve this problem. Bragg's diffraction is described how monochromatic light travels through a crystal medium. The monochromatic light should follow

2d.sin(θ) = λ

where d is the spacing between the planes of the crystal, θ is the incident light angle and λ is the wavelength.

From the question above, we know that

θ = 70⁰

λ = 0.210 nm = 0.21 x 10¯⁹ m

By substituting the given parameters, we get

2d.sin(θ) = λ

2d.sin(70⁰) = 0.21 x 10¯⁹

2d . 0.94 = 0.21 x 10¯⁹

d = 1.12 x 10¯¹⁰ m

d = 0.112 nm

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