What is the answer to the question?

What Is The Answer To The Question?

Answers

Answer 1

Answer:

Explanation:

The y component is measured by the horizontal component and the vertical component. Together they determine the magnitude of the vector. In this case, the y or vertical component is found by using the sine function.

Formula

Sin(angle) = vector resultant / y component component.

Givens

angle = 42 degrees.

vector = 419 degrees

Solution

sin(42) = y / 419                  Multiply both sides by 419

419 * sin(42) = 419  * y / 419

y = 419 * 0.6691

y = 280.37

Note

The vector is pointing downward so technically the vertical component should be negative.  I'm not sure what to tell you to answer. I would try - 280.37, but if the computer marks you wrong, try 280.37 (no minus sign).


Related Questions

what element is produced when a gold nucleus loses a proton?

Answers

The element is Platinum.
Hello, it’s Platinum.

Which of the following statements are true?

It is proper to use the period when it is 1 second or greater.
It is proper to use the frequency when it is 1 Hertz or greater.
It is proper to use the period when it is less than 1 second.
It is proper to use the frequency when it is less than 1 Hertz.

Answers

Both of the first two statements are true:

- It is proper to use the period when it is 1 second or greater. The period is the time it takes for one complete cycle of a wave to occur, and it is typically measured in seconds. When dealing with waves that have periods of 1 second or longer, it is more convenient to use the period rather than the frequency.

- It is proper to use the frequency when it is 1 Hertz or greater. The frequency is the number of cycles of a wave that occur in one second, and it is typically measured in Hertz (Hz). When dealing with waves that have frequencies of 1 Hz or higher, it is more convenient to use the frequency rather than the period.

The last two statements are not true:

- It is not proper to use the period when it is less than 1 second. The period is still a valid measure for waves with periods less than 1 second, but it may be more convenient to use the frequency instead.

- It is not proper to use the frequency when it is less than 1 Hertz. The frequency is still a valid measure for waves with frequencies less than 1 Hz, but it may be more convenient to use the period instead.

. Car D is heading East at 25 m/s and Car T is heading West at 10 m/s. What is the relative velocity between car D and car T? How would the passenger in Car D describe Car T’s motion?

Answers

Cars D and T are travelling at a relative speed of 35 m/s.

Car D's velocity is u = + 25 m/s because it is travelling east at a speed of 25 m/s. (because it is travelling in the direction of positive x-)

Additionally, Car T is moving at v = -10 m/s and travelling west at a speed of 10 m/s. (because it is travelling opposite in the direction of positive x-)

Thus, relative velocity = velocity of D - velocity of T

relative velocity = 25 - (-10)

relative velocity = 35m/s

So, the relative velocity between Car D and Car T is 35 m/s.

Car D is travelling in the direction of the position axis' positive arrow, whereas Car T is moving in the direction of the axis' negative arrow, therefore the two automobiles are moving in the opposite direction.

As a result, car D is driving more quickly than car T, and both vehicles are travelling in the opposite direction.

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Some dragonflies splash down onto the surface of a lake to clean themselves. After this dunking, the dragonflies gain altitude, and then spin rapidly at about 1100 rpm to spray the water off their bodies. When the dragonflies do this "spin-dry," they tuck themselves into a "ball" with a moment of inertia of 2.0×10−7kg⋅m2 . How much energy must the dragonfly generate to spin itself at this rate?

Answers

The dragonfly must generate approximately 4.8 × 10^-4 Joules of energy to spin itself at a rate of 1100 rpm.

Start by converting the rotational speed from rpm (revolutions per minute) to rad/s (radians per second). Since 1 revolution is equal to 2π radians, we can use the conversion factor:

Angular speed (ω) = (1100 rpm) × (2π rad/1 min) × (1 min/60 s)

ω ≈ 115.28 rad/s

The moment of inertia (I) is given as 2.0 × 10^-7 kg⋅m².

Use the formula for rotational kinetic energy:

Rotational Kinetic Energy (KE_rot) = (1/2) I ω²

Substituting the given values:

KE_rot = (1/2) × (2.0 × 10^-7 kg⋅m²) × (115.28 rad/s)²

Calculate the value inside the parentheses:

KE_rot ≈ (1/2) × (2.0 × 10^-7 kg⋅m²) × (13274.28 rad²/s²)

KE_rot ≈ 1.331 × 10^-3 J

Round the result to the proper number of significant figures, which in this case is three, as indicated by the given moment of inertia.

KE_rot ≈ 4.8 × 10^-4 J

Therefore, the dragonfly must generate approximately 4.8 × 10^-4 Joules of energy to spin itself at a rate of 1100 rpm.

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define standard atmospheric pressure ​

Answers

Standard atmospheric pressure is the average pressure exerted by the Earth's atmosphere at sea level under normal conditions. It is defined as 101.325 kPa or 1 atm and serves as a reference point for scientific measurements and comparisons related to atmospheric pressure.

Standard atmospheric pressure is the average pressure exerted by the Earth's atmosphere at sea level under normal conditions. It is defined as 101.325 kilopascals (kPa) or 1 atmosphere (atm). This pressure is used as a reference point for various scientific measurements and is crucial in fields such as meteorology, physics, and engineering.

Atmospheric pressure is caused by the weight of the air above a given point on the Earth's surface. The air is composed of molecules, mainly nitrogen (approximately 78%) and oxygen (approximately 21%), along with other trace gases. These molecules are in constant motion and exert a force on the surfaces they come into contact with, including the Earth's surface.

The standard atmospheric pressure of 101.325 kPa is equivalent to the pressure exerted by a column of mercury 760 millimeters (mm) in height in a barometer at sea level. This measurement was established as a reference point for atmospheric pressure, providing a consistent value for scientific calculations and comparisons.

It is important to note that atmospheric pressure can vary with altitude and weather conditions. As altitude increases, the atmospheric pressure decreases because the column of air above becomes thinner. In areas of high or low pressure systems associated with weather patterns, the atmospheric pressure deviates from the standard value.

The standard atmospheric pressure is a valuable reference in many applications. For instance, it is used as a standard for measuring gas pressure in laboratories and industrial processes. It is also used in meteorology to calculate and compare pressure systems and to study atmospheric phenomena such as wind patterns and weather changes.

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Final Answer:

If there is lower air pressure being "pushed" onto the surface of the water, then the water molecules do not need as much energy to overcome the force of atmospheric pressure pushing on the surface, and they can more easily escape and become a vapor. When the vapor pressure of the liquid is equal to the air pressure surrounding the liquid, it will boil. If you lower the air pressure, you will lower the temperature that water will boil at.

Explanation:

The boiling point of a liquid depends on the balance between the vapor pressure of the liquid and the external pressure, which is typically atmospheric pressure. When the external pressure is reduced, such as at higher altitudes or in a vacuum, the liquid molecules require less energy to escape the surface and become vapor. This is because there is less force pushing down on the liquid's surface, allowing for easier vaporization.

At lower air pressure, the water molecules can overcome the diminished force of atmospheric pressure more readily, requiring less heat energy to transition from liquid to vapor. When the vapor pressure of the liquid equals the surrounding air pressure, the liquid will start to boil.

Boiling point and vapor pressure are fundamental concepts in thermodynamics and phase transitions. Understanding how pressure affects the boiling point of liquids is crucial in various scientific and engineering applications, such as cooking, chemical processes, and high-altitude cooking.

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An organ pipe of length L has one end closed but the other end open. What is the wavelength of the fundamental node emitted?
a. Slightly smaller than 4 L
b. Slightly larger than 4 L c. Roughly equal to 3/2
d. Slightly larger than 2 L

Answers

Answer:analize a afirmacao a seguir e tudo que envolve o gerenciamento da marca e que ultrapassa as acoes com objetivos economicos e refere se a cultura principios e valores

Explanation:

.A truck moves at a constant speed of 90km / h for a straight highway. 1. )How far does it travel in 2 hours? 2. )How far does it travel per second? 3.) How long will it take to travel 10km?

Answers

Answer:

1) 180 km

2) 25 m

3) 6 min 40 sec

Explanation:

1) Distance = rate × time

d = (90 km/hr) × (2 hr)

d = 180 km

2) Convert km/hr to m/s.

1 km = 1000 m, and 1 hr = 3600 s.

90 km/hr × (1000 m / 1 km) × (1 hr / 3600 s) = 25 m/s

So the truck moves 25 meters per second.

3) Distance = rate × time

10 km = (90 km/hr) × t

t = 1/9 hr

t = 6 min 40 sec

1) In 1 hour it travels 90km then in 2 hours it’s 180km traveled.

2) it travels 90km in 1 hour
There are 3600 seconds (60x60)
In an hour.

Therefore 90km/3600seconds= 0.025km or 25 metres

3) 10km/90km = 0.11~
0.11 x 60 minutes = 6.67 minutes ~

A roller coaster is at a peak of 20m and has a mass of 900kg. What is the potential energy of the roller coaster?
O 100000 J
10000 J
O 9.8 J
O 176400 J

Answers

The potential energy of the roller coaster is 176,400 J (joules).

The potential energy of an object is given by the formula PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height or vertical position of the object.

In this case, the roller coaster is at a peak of 20m and has a mass of 900kg. The acceleration due to gravity, g, is approximately 9.8 \(m/s^2\).

Using the formula, we can calculate the potential energy:

PE = mgh

= (900 kg)(9.8 \(m/s^2\))(20 m)

= 176,400 J

Therefore, the potential energy of the roller coaster is 176,400 J (joules).

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A 200kg block slides down a surface inclined at 30 degrees
The coefficient of kinetic friction between the block and the surface is 0.1
What is the magnitude of the friction force?
(acceleration due to gravity: 9.8ms−2)

Answers

First, we need to determine the force of gravity acting on the block. We can do this using the formula:

force of gravity = mass x acceleration due to gravity

force of gravity = 200kg x 9.8ms^-2

force of gravity = 1960N

Next, we need to determine the component of the force of gravity that is acting parallel to the surface. We can do this using the formula:

force parallel to surface = force of gravity x sin(angle of incline)

force parallel to surface = 1960N x sin(30 degrees)

force parallel to surface = 980N

Finally, we can determine the friction force using the formula:

friction force = coefficient of friction x force perpendicular to surface

The force perpendicular to the surface is equal to the force of gravity acting perpendicular to the surface, which can be calculated using the formula:

force perpendicular to surface = force of gravity x cos(angle of incline)

force perpendicular to surface = 1960N x cos(30 degrees)

force perpendicular to surface = 1695.7N

Now we can calculate the friction force:

friction force = 0.1 x 1695.7N

friction force = 169.57N

Therefore, the magnitude of the friction force acting on the block is 169.57N.

A world-class sprinter can reach a top speed (of about 11.5 m/s) in the first 20.0 m of a race

What is the average acceleration of this sprinter?
Express your answer with the appropriate units.

How long does it take her to reach that speed?
Express your answer with the appropriate units.

A world-class sprinter can reach a top speed (of about 11.5 m/s) in the first 20.0 m of a raceWhat is

Answers

(a) The average acceleration of this sprinter is 3.31 m/s².

(b) The time taken for the sprinter to reach the speed is 3.5 s.

What is the average acceleration of this sprinter?

The average acceleration of this sprinter is calculated as follows;

v² = u² + 2as

where;

v is the final velocity of the sprinter = 11.5 m/su is the initial velocity of the sprinter = 0a is the average acceleration of the sprinter = ?s is the distance travelled by the sprinter

v² = 0 + 2as

a = v² / 2s

a = ( 11.5² ) / ( 2 x 20 )

a = 3.31 m/s²

The time of motion of the sprinter is calculated as follows;

v = u + at

v = 0 + at

t = v / a

t = ( 11.5 ) / ( 3.31 )

t = 3.5 s

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A farmer plants the same crop in a field year after year. Every year there are months during which the field is left without any plants. The farmer notices a decline in soil
quality during these months. What causes this decrease in soil quality?
Erosion
Drought
Desertification
Consumption of nutrients by the crops

A farmer plants the same crop in a field year after year. Every year there are months during which the

Answers

Answer:

Drought

Explanation:

The formula length x width x height is used to calculate the volume of a type of

Answers

Answer: 3 dimensional solid like cubes and parallelepipeds

Explanation:

Answer #49 please and thank you

Answer #49 please and thank you

Answers

when Force (N) is 10.0 Length (m) is 0.60

when Force (N) is 8.0 Length (m) is 0.40

when Force (N) is 4.0 Length (m) is 0.20

when Force (N) is 4.0 Length (m) is 0.20

when Force (N) is 2.0 Length (m) is 0.10

chatgpt

49. To find the length of a pendulum that has a period of 2.3 seconds on the Moon, where the gravitational acceleration (g) is 1.6 N/kg, we can use the formula:

Period (T) = 2π√(Length (L) / g)

Substituting the given values:

2.3 = 2π√(L / 1.6)

To solve for L, we can rearrange the formula:

L = (2.3 / (2π))^2 * 1.6

L ≈ 0.781 meters (or 78.1 centimeters)

So, the pendulum must be approximately 0.781 meters (or 78.1 centimeters) long to have a period of 2.3 seconds on the Moon.

50. Ranking Task:

To rank the pendulums according to their periods, we need to consider both the length and mass of each pendulum.

Ranking from least to greatest period:

1. A: 10 cm long, mass = 0.25 kg

2. C: 20 cm long, mass = 0.25 kg

3. B: 10 cm long, mass = 0.35 kg

There is a tie between pendulums A and C, as they have the same length but different masses.

A net force of 2070N acts on a car with a mass of 1350 kg. What is the acceleration of the car?

Answers

Answer:

Below

Explanation:

To find the acceleration of the car, we can use this formula :

     acceleration = net force / mass

     acceleration = 2070 N / 1350 kg

     acceleration = 1.53333 m/s^2

     acceleration = 1.53 m/s^2

Hope this helps!

How many valence electrons
do atoms like to have?


Which group of atoms
already have that number?


What atom is an exception to
that rule and why is it an
exception?


If atoms do not have that
special number of valence
electrons, what will they do?

Answers

Answer:

Answer 1: 8

Answer 2: Protons and Valence Electrons

Answer 3: Hydrogen

Answer 4: When atoms have fewer than eight electrons, they tend to react and form more stable compounds.

Explanation:

.Atoms lose, gain, or share electrons to have a full valence shell of eight electrons. Hydrogen although is an exeption exception because it can hold a maximum of two electrons in its valence level. They may react and form more stable compounds.

A cell of a constant e. m.f is connected in series with a parallel arrangement of 8ohms coil and a uniform wire of length (Lcm). The total external resistance in the circuit is found to be 6ohms. calculate the resistance of the wire and its length. Resistivity of the wire material = 6.0×10^-5 ohm/meter, cross-sectional area of the wire = 6.0×10^-3cm².​

Answers

The resistance of the wire will be 24ohm and the length of the wire will be 24×10⁴cm.

As given in the question,

Rₜₒₜₐₗ = 6ohm

Resistivity = 6×10⁻⁵ohm/m = 6×10⁻⁵/100ohm/cm

Area(A)= 6×10⁻³cm²

Let R = resistance of the wire, therefore;

Rₜₒₜₐₗ = R×8 / R+8

6 = R×8 / R+8

6R + 48 = 8R

48 = 2R

R = 24ohm

R = 24ohm

we know that resistance (R)=rho×l/A

Therefore,

rho×l/A = 24

6×10⁻⁵/100 × l/6×10⁻³ = 24

10⁻⁴ × l = 24

l = 24×10⁴cm

So, the resistance of the wire will be R=24ohm and the length of the wire will be 24×10⁴cm.

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what substance will heat up quickest - Dry soil, granite, water or wet soil

Answers

Granite will heat up the quickest among dry soil, granite, water, and wet soil due to its lower specific heat capacity.

To determine which substance will heat up the quickest among dry soil, granite, water, and wet soil, we need to consider their specific heat capacities. The substance with the lowest specific heat capacity will heat up the quickest.

Specific heat capacity is defined as the amount of heat energy required to raise the temperature of a substance by a certain amount. Different substances have different specific heat capacities due to variations in their molecular structure and composition.

Water has a relatively high specific heat capacity of about 4.18 J/g°C, meaning it requires a significant amount of heat energy to raise its temperature. Dry soil and granite, on the other hand, have lower specific heat capacities compared to water.

Wet soil is a mixture of dry soil and water, and its specific heat capacity will lie between the values of dry soil and water. Since water has a higher specific heat capacity than dry soil, wet soil is expected to have a higher specific heat capacity than dry soil as well.

Therefore, based on the comparison of specific heat capacities, the substance that will heat up the quickest is granite. Granite has a lower specific heat capacity than water and wet soil, making it more susceptible to temperature changes. Dry soil and wet soil, including water, will heat up at a slower rate compared to granite.

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6. A picture of weight, w is hanging from a steel nail as shown in the figure below. The nail has a diameter of 1.50 mm and an original length, Lo = 5.0 mm. Useful Information: The shear modulus, G for steel is 80 x 10° N.m². (a) (b) (c) 1.50 mm 3 Ax = 1.80 μm W Lo = 5.00 mm M What kind of deformation occurs in this case? How are stress and strain in this deformation related to each other? [3] When the picture is hung from the nail, the head of the nail displaces vertically downwards by an amount Ax = 1.80 µm. Find the mass of the picture. Neglect the weight of the nail. [6] What angle does the nail make with the horizontal after the picture is hung from it? [2]​

Answers

The mass of the picture is approximately 5.19 kilograms.

How to solve for the problem

The deformation in this case is called shear deformation, a type of deformation that occurs when parallel internal surfaces slide past one another. It is caused by shear stress in the structure. The shear stress (τ) is the force (F) applied divided by the cross-sectional area (A) of the nail. The shear strain (γ) is the displacement (Δx) divided by the original length (L0).

The relationship between shear stress and shear strain is given by the shear modulus (G) in the formula:

τ = G * γ

To find the weight of the picture, we need to calculate the shear stress first:

The cross-sectional area A of the nail is given by the formula for the area of a circle:

A = πr² = π(d/2)² = π(0.0015 m / 2)² = 1.767 x 10^-6 m².

The shear strain γ is given by:

γ = Δx / L0 = (1.80 x 10^-6 m) / (5 x 10^-3 m) = 0.36.

The shear stress τ can now be calculated by rearranging the formula:

τ = G * γ

=> τ = (80 x 10^9 N/m²) * 0.36 = 28.8 x 10^9 N/m²

The force F on the nail is equal to the weight w of the picture, and it can be calculated from the shear stress:

τ = F / A

=> F = τ * A = (28.8 x 10^9 N/m²) * (1.767 x 10^-6 m²) = 50.89 N.

Since weight w = m * g, where m is mass and g is the acceleration due to gravity (approximately 9.81 m/s²), we can find the mass m:

m = w / g = (50.89 N) / (9.81 m/s²) = 5.19 kg.

So, the mass of the picture is approximately 5.19 kilograms.

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Resolve the vector shown below into its components.

Resolve the vector shown below into its components.

Answers

Answer:

D. s=3x+4y

Explanation:

The line is at the 3rd column in the 4th row.

A car traveling at 3500 m/s is to stop on a 35-meter long shoulder of the road. What minimum deceleration is required?

Answers

The minimum deceleration required to stop the car in 35 meters is 40000 m/s^2.

What is deceleration?

Deceleration is defined as  the decrease in speed as the body moves away from the starting point.

The minimum deceleration required can be calculated using the equation of motion:

d = v^2 / (2 * a)

where d is the distance, v is the initial velocity, and a is the acceleration.

Rearranging the equation to solve for a:

a = v^2 / (2 * d) = (3500 m/s)^2 / (2 * 35 m) = 40000 m/s^2

In conclusion, , the minimum deceleration required to stop the car in 35 meters is 40000 m/s^2.

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If the instantaneous voltage at a given moment in the circuit RL is V=VmaxSIN(150), then the instantaneous current at the...... same instant I=Imaxsin​

Answers

The instantaneous current at the same moment in the RL circuit can be expressed as I = Imaxsin(150), where Imax represents the maximum current.

1. Given that the instantaneous voltage at a specific moment in the RL circuit is V = Vmaxsin(150).

2. We can express the current at the same moment using Ohm's Law, which states that V = IR, where V is voltage, I is current, and R is resistance.

3. In an RL circuit, the resistance is represented by the symbol R, and it is typically associated with the resistance of the wire or any resistors in the circuit.

4. However, the given equation does not explicitly mention resistance.

5. Since we are considering an RL circuit, it suggests the presence of inductance (L) along with resistance (R).

6. In an RL circuit, the voltage across the inductor (VL) can be expressed as VL = L(di/dt), where L is the inductance and di/dt represents the rate of change of current.

7. At any given instant, the total voltage across the circuit (V) can be expressed as the sum of the voltage across the resistor (VR) and the voltage across the inductor (VL).

8. Therefore, V = VR + VL.

9. Since the given equation represents the instantaneous voltage (V), we can deduce that V = VR.

10. By comparing V = VR with Ohm's Law (V = IR), we can conclude that I = Imaxsin(150), where Imax represents the maximum current.

The specific values of Vmax, Imax, and the phase angle have not been provided in the question, so we are working with the general expression.

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If the air inside a balloon exerts a force of 1 N on an area of 0.5 m^2 what is the pressure inside the balloon

Answers

Answer:

2 Pascal (Pa)

Explanation:

Pressure is defined as the force acting per unit area. Mathematically, it is expressed as:

Pressure (P) = Force (F) / Area (A)

Given:

Force exerted by the air inside the balloon (F) = 1 N

Area of the balloon (A) = 0.5 m^2

Plugging in the given values into the formula for pressure, we get:

P = F / A

P = 1 N / 0.5 m^2

Using basic arithmetic, we can calculate the pressure inside the balloon:

P = 2 N/m^2

So, the pressure inside the balloon is 2 N/m^2, which is also commonly referred to as 2 Pascal (Pa) since 1 Pascal is equal to 1 N/m^2.

Analyze Data and Draw Conclusions
Question 7
In Part 1, one plate feels colder than the other plate. Why does it feel colder? Is it actually colder, or are the two
plates the same temperature? Explain.

Answers

The plate that feels colder is likely a better conductor of heat compared to the other plate.

Why the difference in temperature?

Compared to the other plate, the one that feels cooler is probably a greater heat conductor. The capacity of a material to transfer heat is known as conductivity. A colder feeling will result from the plate's ability to more efficiently absorb heat from our skin if its thermal conductivity is higher.

The two plates may truly be at the same temperature, but our perception of that temperature is affected by the rate of heat transmission, it is crucial to note.

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answer asap!!! i suck at acceleration

answer asap!!! i suck at acceleration

Answers

Answer: 2.67

Explanation: it said he went from 0 to 8 in 3 seconds so if we divide eight By three we get 2.67 rounded to the nearest hundredth so you accelerated that 2.67 m/s

Activity
Spend time observing or thinking about events that involve matter and energy. Which events can you explain? Which
events can't you explain?

Answers

Answer:

According to Albert Einstein's equation, E = m·c², matter and energy are fundamentally related

Events that involve matter and energy that can be explained includes;

The boiling of water in a kettle

The rebound of objects including water after falling

The sound made by airplane and helicopters

Events involving matter and energy that are difficult to explain includes

The cause of the universe that manifest into about matter

The size of the universe

The fundamental object controlling gravity

Decipherable

1) The boiling of water in a kettle; Water boils by the addition of energy that raises the temperature of the particles which result in the forming of vapor as the bonds of the liquid state are broken by the fast moving molecules

2) The rebound of objects including water after falling from a height is proportional to the height from which the object is dropped, due to conservation of energy principle

3) The sound made by airplane and helicopters; This is due the interactions with the air to develop propulsion in the air

Difficult to decipher

1) The cause of the universe that manifest into about matter; The reason behind the formation of the universe is difficult to explain

2) The size of the universe; Will it be possible to know measure a universe

If the universe is measurable, how many universes do we have;

3) The fundamental object controlling gravity; What particle is responsible for gravity and the way if functions

Explanation:

The valid digits in a measurement are called the significant digits. True or False

Answers

i think

Answer:

physics. The ______ is a systematic way to observe, experiment, and analyze the world. scientific method. The valid digits in a measurement are called the. significant digits.

Explanation:

truth'

Calculate the net force on the particle q1.

Calculate the net force on the particle q1.

Answers

Answer:

-12.1

Explanation:

i’m almost sure this is it, i’m checking my old answers

if not let me know and i’ll give you some more answers

how does mass and speed affects kinetic energy

Answers

The kinetic energy affects when there is an increase in the mass and speed of the object.

When the object is in motion, Kinetic energy is observed. Kinetic energy is the product of the mass and square of the speed of an object. It depends on both the mass and speed of the object.

K.E = 1/2 (mv²), where m is the mass of the object and v is the speed of the object. Thus, the kinetic energy is directly proportional to the mass and speed of the object.

When speed increases two times, the kinetic energy increases by four times. When speed increases 3 times, the kinetic energy increases by 9. If the object has more mass, the kinetic energy also increases, and vice-versa.

Hence, the kinetic energy increases with the increase in mass and speed of the object.

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module 2 question 2

Find the components of vtot along the x and y axes in Figure 3.25, where = 25.0° and vtot = 6.00 m/s.

vtot, x =


what is x? I've seen others put 4.41 but it is wrong.


m/s

vtot, y = 5.07

module 2 question 2Find the components of vtot along the x and y axes in Figure 3.25, where = 25.0 and

Answers

The x and y component of \(V_{tot}\) where θ = 25° and \(V_{tot}\) = 6 m / s are 4.68 m / s and 3.72 m / s respectively.

Resolving \(V_{tot}\) into its x and y components,

sin θ = \(V_{tot,y}\) / \(V_{tot}\)

sin 51.5° = \(V_{tot,y}\) / 6

\(V_{tot,y}\) = 4.68 m / s

cos θ = \(V_{tot,x}\) / \(V_{tot}\)

cos 51.5° =  \(V_{tot,x}\) / 6

\(V_{tot,x}\) = 3.72 m / s

These are called as trigonometric ratios. Some of the basic formulae are:

sin θ = Opposite side / Hypotenusecos θ = Adjacent side / Hypotenusetan θ = Opposite side/ Adjacent side

Therefore, the x and y component of \(V_{tot}\) are 4.68 m / s and 3.72 m / s respectively.

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person pulls a toboggan for a distance of 35.0 m along the snow with a rope directed 32.0o above the snow. The tension in the rope is 105.0 N. How much work is done on the toboggan by the tension force?

Answers

The amount of work done on the toboggan by the tension force of 105 N with a rope directed 32° above the snow is 3.12 KJ

W = F d cos θ

W = Work done

F = Force

d = Distance

θ = Angle between force and displacement vector

d = 35 m

F = 105 N

θ = 32°

W = 105 * 35 * cos 35°

W = 105 * 35 * 0.85

W = 3123.75 N m

W = 3.12 KJ

Work done is energy transferred to make an object move to a distance. Its unit is Joules which is denoted as J. It is the amount of work done by a force of 1 Newton to move a distance of 1 meter.

Therefore, the amount of work done on the toboggan by the tension force is 3.12 KJ

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