5 points
A ball is thrown upward from y=0, with an initial velocity vo and then slows down with constant acceleration due to
the Earth's gravity. The ball comes to rest at a height h. Which one of the following formulas correctly states the
distance, h, to the top of the trajectory in terms of the initial velocity?

Answers

Answer 1

Answer:

\( \frac{{v}^{2} g}{2 } \)

5 PointsA Ball Is Thrown Upward From Y=0, With An Initial Velocity Vo And Then Slows Down With Constant

Related Questions

A driven gear with 60 teeth is driven by a driven gear of 30 teeth what is the VR of

the gear​

Answers

Answer:

VR=2

Explanation:

driven=60

driving=30

but VR=driven/driving

VR=60/30

VR=2

hence the velocity ratio VR is 2

HELP!!! You have two substances, both of which have the same boiling point (or attraction between their molecules).
The first substance is made from molecules that are small (just a few atoms bonded together), and the second substance is made from mol that are larger (many atoms bonded together).
How can it be possible for two such different molecules to yield substances with the same boiling point? Describe the kinds of intermolecu attractions that must be involved and any other properties of the molecules that could cause this result.

Answers

The boiling point of a substance depends on the strength of the intermolecular forces between its molecules. In the case of the two substances you mentioned, even though they have different molecular sizes, they can still have the same boiling point if they have similar intermolecular attractions.

What is the  boiling point about?

For example, the smaller molecule may have a higher polarity due to the presence of polar bonds, which can result in dipole-dipole interactions between molecules. The larger molecule may have a similar dipole moment even though it has more atoms, or it may have a polar functional group that contributes to its intermolecular interactions.

In addition to dipole-dipole interactions, the molecules may also have London dispersion forces, which are present in all molecules due to the random fluctuations in electron density. These forces are proportional to the size of the molecule, so the larger molecule may have a stronger dispersion force even if it is less polar than the smaller molecule.

Therefore,, it is possible for two different molecules to have the same boiling point if they have similar intermolecular attractions, such as dipole-dipole interactions and London dispersion forces. The size of the molecule may also play a role in determining the strength of these forces, but it is not the only factor.

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If you converted 0.000013 to scientific notation, what would the prefix be to the correct number of significant digits?

Answers

Answer:

1.3

Explanation:

it will taken to as in from of standard form

Answer:

1.3 * 10^-5

Explanation:

We are learning about scientific notation.

When a number becomes a decimal followed before with zeroes, we know that the value of that number is decreasing. So instead of usually doing a positive exponent, we will do a negative exponent indicating we are going back.

So let's not only count the amount of zeroes followed before 13, but the decimal.

0.000013

The original number "1.3" went back 5 spaces, therefore making our exponent 5.

1.3 * 10^-5

Which one of the following is the longest length?
(a) 100 m
(b) 104 µm
(c) 107 nm
(d) 102 mm​

Answers

Okay, let's convert all the lengths to the same unit to compare:

(a) 100 m = 100 meters

(b) 104 μm = 104 micrometers = 104 × 10^-6 meters = 0.000104 meters

(c) 107 nm = 107 nanometers = 107 × 10^-9 meters = 0.000000000997 meters

(d) 102 mm = 102 millimeters = 102 × 10^-3 meters = 0.0102 meters

The longest length is:

(a) 100 m = 100 meters

The answer is option (a).

Answer: 100 m

Explanation:

1 μm = \(10^{-6}\) m = 0,000001 m

1 nm = \(10^{-9}\) m = 0,000000001 m

1 mm = \(10^{-3}\) m = 0,001 m

∴ 100 m es la mayor longitud

Example 9:
3.
Figure 5.24 shows a barrel of weight 1500 N
and radius 0.5 m that rests against a step of
height 0.2 m.
0.2 m
0.5 m
▲ Figure 5.24
(
What is the smallest horizontal force F th
the centre O needed to push the barrel over
the step

Example 9: 3.Figure 5.24 shows a barrel of weight 1500 Nand radius 0.5 m that rests against a step ofheight

Answers

To drive the barrel over the step, the least horizontal force F necessary is 2366.16 N.

How to find horizontal force?

To push the barrel over the step, the minimum force required should overcome the force of gravity acting on the barrel and the force of static friction between the barrel and the surface.

The perpendicular component of the weight is given as N = mgcosθ, where m = mass of the barrel,

g = acceleration due to gravity, and

θ = angle between the weight and normal to the surface.

In this case, θ as the inverse tangent of the ratio of the height of step to the distance from the edge of the step to the center of the barrel:

θ = tan⁻¹(0.2/0.5) = 0.39 radians

Therefore, the normal force is N = (1500)(9.81)cos(0.39) = 1443.6 N.

The force of static friction can be found as f = μsN,

where μs = coefficient of static friction.

Assume the coefficient of static friction between the barrel and the surface is 0.6.

f = (0.6)(1443.6) = 866.16 N.

The minimum force required to push the barrel over the step should overcome both these forces. Then, the smallest horizontal force that can push the barrel over the step is:

F = force of gravity + force of static friction

F = 1500 + 866.16

F = 2366.16 N.

Therefore, the smallest horizontal force F required to push the barrel over the step is 2366.16 N.

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3) Two particles are travelling along a straight line AB of length 20m.
At the same instant one particle starts from rest at A and travels
towards B with a constant acceleration of 2 ms72 and the other
particle starts from rest at B and travels towards A with a constant
acceleration of 5 ms2, find how far from A the particles collide.

Answers

At distance of 40/7 m from A the particles will collide.

Let particles collide at C

And let distance AC = x and BC = y

then, x+y = 20

As the equation used for distance required here is: s= ut +1/2 a\(t^{2}\) and  here u=0

Then, 1/2 (2)\(t^{2}\)  +1/2 (5)\(t^{2}\)  =20  

7/2\(t^{2}\)  =20

\(t^{2}\) = 40/7

Now

x= 1/2 (2)\(t^{2}\) = 40/7 m

Therefore, at distance of 40/7 m from A the particles will collide.

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What is the magnitude of the resultant vector? Round your answer to the nearest tenth. m

Answers

The magnitude of the resultant vector to round the answer to the nearest tenth, we look at the digit in the hundredth's place. If this digit is 5 or greater, we round up. If it is less than 5, we round down.

In the study of physics, we use vectors to represent quantities that have both direction and magnitude. It is often the case that we want to add two or more vectors together to obtain a single vector that represents the net result of these additions. The process of adding two or more vectors together is known as vector addition.The magnitude of the resultant vector is the length of the line that represents it on a scale drawing.

When we add two or more vectors together, the resultant vector is the vector that represents the net result of these additions. To find the magnitude of the resultant vector, we use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

In the case of vector addition, the hypotenuse is the resultant vector, and the other two sides are the component vectors. If we have two vectors a and b, the magnitude of the resultant vector is given by the following equation:|R| = √(ax2 + bx2)where R is the resultant vector, a and b are the component vectors, and x is the angle between the vectors.

For example, if the answer is 12.345, we would round it to 12.3.

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You push yourself on a skateboard with a force of 30 N east and accelerate at 0.5 m/s² east. Find the mass of theskateboard if your mass is 58 kg.​

Answers

Answer:

2Kg

first you find the total mass of both the person und skateboard

f = m*a

30 = m* 0.5

m= 30/ 0.5

m= 60 kg

then you subtract the mass of the person from the total mass

m1 - m2

60 - 58

= 2 kg

Taking into account the Newton's second law, the mass of the skateboard is 2 kg.

Newton's Second Law establishes the relationship between the forces acting on an object and the acceleration it experiences. This law says that the acceleration that an object experiences when subjected to a net force (force applied to the body) is proportional to that force.

Mathematically, Newton's second law is expressed as:

F= m×a

where:

F = Force [N] m = Mass [kg] a = Acceleration [m/s²]

In this case, you know:

F= 30 N m= ? a= 0.5 m/s²

Replacing:

30 N= m× 0.5 m/s²

Solving:

m= 30 N÷0.5 m/s²

m= 60 kg

The mass of the sistem is the sum of the mass of the skateboard and the mass of the mass of your body:

Mass= mass of the skateboard + mass of your body

In this case:

60 kg= mass of the skateboard + 58 kg

Solving:

mass of the skateboard= 60 kg - 58 kg

mass of the skateboard= 2 kg

Finally, the mass of the skateboard is 2 kg.

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Three point charges are arranged on a line. Charge q3 = +5.00 nC and is at the origin. Charge q2 = -3.00 nC and is at x = 3.50 cm . Charge q1 is at x = 1.00 cm .What is q1 (magnitude and sign) if the net force on q3 is zero?

Answers

Answer:

Now using

K*q3q1/(1cm)² = kq3q2/(3.5cm)²

So

q1/1²= q2/3.5²

But q2= -3nC

So q1= (1/3.5)²* 3*10-9

q1= 0.24nC

q1 will be positive because to become the net force on the q3 charge due to the remaining two charges, the force due to each charge on the third force should be equal and opposite thus q1 is positive

When a projectile reaches the highest point the vertical component of the acceleration is:
(A) Less than g (B) Greater than g (C) Positive g (D) Negative g

Answers

Answer:

The acceleration is g.

Taking the upward direction as positive

V = Vy y - 1/2 g t^2

Taking the downward direction as positive

V = -V y + 1/2 g t^2

One can choose either direction as positive, but the acceleration is

the same as g (it is g) while the projectile is in the air.

When a projectile reaches the highest point the vertical component of the acceleration is negative g (acceleration due to gravity). Thus, the correct option is D.

What is Projectile motion?

Projectile motion is the motion of an object which is thrown or projected high into the air. After the initial force applied on the object that launches the object, the object only experiences the gravitational force. The object is called a projectile and the path of the object is called trajectory.

When a projectile reaches the highest point the vertical component of the acceleration is negative g (acceleration due to gravity). When the object achieves highest point, then the vertical acceleration of a projectile is zero meter per second square when it is at the peak of its trajectory motion.

Therefore, the correct option is D.

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how to determine the volume of a human body ​

Answers

Answer:

Determine the volume of a human body to use the mass and density of water displaced to calculate the volume of the water displaced.

Answer:

According to me the volume of a human body can me determined by means of the displacement method

Explanation:

if you immerse you body in a drum of water of a known volume, the water displaced is equal to your volume

12. What does temperature measure?
O A. The density of an object
OB. The energy of particles
O C. The chemical bonds between particles
O D. The electrical charge of particles

Answers

B. The energy of particles.

Temperature is a measure of the average kinetic energy of the particles in a substance. The higher the temperature, the higher the average kinetic energy of the particles, which means they are moving faster. Temperature is commonly measured in units such as Celsius, Fahrenheit, and Kelvin.

Gold forms a solid solution with silver. Since the densities of pure gold and silver are 19.32 g/cm³ and 10.49 g/cm³, respectively, calculate the number of gold atoms per cubic centimeter for a silver-gold alloy containing 10% Au and 90% Ag by weight.

Answers

There are 3.37 × \(10^{22}\) gold atoms per cubic centimeter in the silver-gold alloy.

The density of a binary alloy can be calculated using the following equation:

ρ = w1ρ1 + w2ρ2

where,

ρ = density of the alloy

w1 and w2 = weight fractions of the two components (in this case, gold and silver)

ρ1 and ρ2 = densities of the pure components.

We are given that the alloy contains 10% gold and 90% silver by weight, so we can calculate the weight fractions as:

\(w_{Au}\) = 0.10

\(w_{Ag}\) = 0.90

We are also given the densities of pure gold and silver as:

ρ_Au = 19.32 g/\(cm^{3}\)

ρ_Ag = 10.49 g/\(cm^{3}\)

Now we can substitute these values into the density equation to find the density of the alloy:

ρ = \(w_{Au}\)ρ_Au +\(w_{Ag}\)ρ_Ag

ρ = (0.10)(19.32 g/\(cm^{3}\)) + (0.90)(10.49 g/\(cm^{3}\))

ρ = 11.08 g/\(cm^{3}\)

Next, we need to calculate the number of gold atoms per cubic centimeter in the alloy.

To do this, we can use Avogadro's number and the atomic weights of gold and silver:

\(N_A\) = 6.022 × \(10^{23}\) atoms/mol

Aum = 196.97 g/mol

Agm = 107.87 g/mol

The number of gold atoms:

\(n_{Au}\) = (\(w_{Au}\)ρ/ Aum) × \(N_{A}\)

Substituting the values, we get:

\(n_{Au}\) = (0.10 × 11.08 g/\(cm^{3}\)/ 196.97 g/mol) × 6.022 × \(10^{23}\) atoms/mol

\(n_{Au}\) ≈ 3.37 × \(10^{22}\) atoms/\(cm^{3}\)

Therefore, there are approximately 3.37 × \(10^{22}\) gold atoms per cubic centimeter in the silver-gold alloy.

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Question 20 (4 points)
Listen
When a net horizontal force of 250 N acts on a 50-kg cart that is free to roll on a
level surface,
A) the cart accelerates at 9.8 m/s².
B)
the cart accelerates at 0.20 m/s².
C)
the cart accelerates at 5 m/s².
D)
the cart accelerates at 12500 m/s².
E)
the cart does not accelerate because it pushes back on the person with a
force of 250 N.

Answers

Explanation:

C is correct.

Newton second law states that force is directly proportional to acceleration with m being the constant of variation.

\(f _{net} = m(a)\)

So

\(250 = 50(a)\)

\(a = 5\)

A is wrong, the constant g only happens in free fall or in vertical direction

B and D are wrong due to the mathematical error or equation error

describe how the volume of a floating object such as a cork can be found.fully describe please step by step.​

Answers

Answer:

Explanation:

Use Archimedes' principle, that states something of this nature: "The buoyant force acting on an object immersed in a fluid is equal to the weight of the fluid displaced"

Say, you take a cube of wood(for example) and place it in a bucket of water. Your cube is bound to sink, until, the upthrust force equals its weight.

Where does this upthrust come from?

As the cube sinks, it displaced some volume of water(if the bucket were full you would see water pouring out)

Archimedes simply stated that: Upthrust,

U=mg

Example: One way to measure the volume of any irregular object (in your case, a stone) is to submerge it completely under water and measure the change in the height of the water level. This change in the water level (let's say it goes from 50 mL to 65 mL) indicates that the stone has a volume of 15 mL.Example:Subtract the first volume from the second volume to calculate the volume of the stone. For example, if you recorded 40 fluid ounces the first time, and 50 fluid ounces the second time, the stone volume is 10 fluid ounces.

Suppose you are asked to come up with a design for a new mobile phone that uses solar energy as its energy source. Give examples of one criterion and one constraint for this mobile phone.

Answers

The need for an effective solar power system and restrictions on using solar power for mobile devices are requirements.

What is solar energy?

Any energy produced by the sun is referred to as solar energy. Solar energy is produced by the nuclear fusion that occurs in the sun. Helium atoms are produced during fusion inside the sun's core when protons from colliding hydrogen atoms fuse. Solar architecture, solar thermal energy, and solar power to generate electricity are only a few examples of the technologies that can harness the Sun's radiant light and heat.

Why solar is important and why it is used?

When you generate power with solar panels, no emissions of greenhouse gases are put into the atmosphere. Solar energy is a key source of energy in the transition to the creation of clean energy since the sun produces more energy than humans could ever require.

Solar energy seems to be a cheap, abundant, and renewable source of power. It may be used to make energy, heat water, and cook meals. Solar cells can also be used to store the electrical energy produced by solar energy.

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In a Little League baseball game, the 145 g ball enters the strike zone with a speed of 17.0 m/s .The batter hits the ball, and it leaves his bat with a speed of 24.0 m/s in exactly the opposite direction.
What is the magnitude of the impulse delivered by the bat to the ball?
If the bat is in contact with the ball for 1.4 ms , what is the magnitude of the average force exerted by the bat on the ball?

Answers

Answer:

2.465Ns;1.76N

Explanation:

From Newton's Second Law:

There is a conservation of Momentum hence:

Momentum before the impact equals that after the impact.

Hence.

1. The Impulse is same as the change in Momentum which is;

0.145 ×17 =2.465Ns { note: 145g in kg is 0.145}

2. From Newton's third Law; force is the rate of change of impulse expressed mathematically as;

F = m×v / t

Where m×v is impulse and t is time given.

F = 2.465/ 1.4 = 1.76N

How do atomic and molecular interactions explano the properties of matter that we see and feel?

Answers

Answer:

The atomic and molecular interactions unveil the bulk properties of matter in our environment by ways of the fact that everything in the whole universe is made of either atoms, molecules or even ions

How matter is made up of atoms and molecules?

It has been proven practically everything in the whole universe is matter and everything which interact with matter is also matter. This explains to us the reasons why matter could be atoms, molecules or ions.

That being said, some substances (matter) is made up of atoms of elements, some made up of molecules or atoms and molecules and others ions or both. However, matter is anything which has mass and occupies space.

In conclusion, we can now conclude from the explanation above that the properties of matter are as a result of the interaction which exists between matter at the atomic and molecular level.

Tres ladrillos idénticos están atados entre sí por medio de cuerdas y penden de una balanza que marca en total 24 N. ¿Cuál es la tensión de la cuerda que soporta al ladrillo inferior? ¿Cuál es la tensión en la cuerda que se encuentra entre el ladrillo de en medio y el superior?

ayuda!!!!!​

Answers

answer 8N 8N

la tensión del ladrillo inferior es 8N ya que los ladrillos son idénticos, decido 24 por 3 para darme 8

la tensión entre el ladrillo superior y el medio también es 8N

a fan is rotating clockwise and its acceleration has a positive sign. is the angular velocity of the fan speeding up, slowing down, or constant?

Answers

Answer:

The angular velocity is slowing down.

Explanation:

By convention, if a rigid body is rotating clockwise, the angular velocity is negative.If the angular acceleration has a positive sign, since the angular acceleration and the angular velocity have opposite signs, this means that the angular velocity is slowing down.

817 cm3 at 80.8 kPa to 101.3 kPa: __________ cm3 (No temp. change)

Answers

The final volume of the gas, when the pressure changes from 80.8 kPa to 101.3 kPa at constant temperature, is approximately 652.9 cm³.

To solve this problem, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at constant temperature.

Boyle's Law can be represented by the equation: P₁V₁ = P₂V₂

Where P₁ and V₁ are the initial pressure and volume, and P₂ and V₂ are the final pressure and volume.

Given:

Initial volume, V₁ = 817 cm³

Initial pressure, P₁ = 80.8 kPa

Final pressure, P₂ = 101.3 kPa

We need to find the final volume, V₂.

Using Boyle's Law equation, we can rearrange it to solve for V₂:

V₂ = (P₁V₁) / P₂

Plugging in the given values:

V₂ = (80.8 kPa * 817 cm³) / 101.3 kPa

Simplifying the expression:

V₂ ≈ 652.9 cm³

Therefore, the final volume of the gas, when the pressure changes from 80.8 kPa to 101.3 kPa at constant temperature, is approximately 652.9 cm³.

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HONI A ball is rolling steady on the floor. (a) Draw and label all the forces acting on the ball. (b) Describe the relationships between all the forces acting on the ball ​

Answers

a) The image is attached to this answer

b) The kinetic friction force affects the forward force of the ball.

What is the relationship between the forces that act on a rolling ball?

The force that opposes a rolling ball's motion is called rolling friction. It slows the ball down by acting in the opposite direction to that of the ball's motion. The weight of the ball and the type of the surface are two variables that affect rolling friction.

The force that a surface uses to maintain the weight of an object that is resting on it is known as the normal force. When a ball is rolling, the normal force exerts itself perpendicular to the surface the ball is moving on. It maintains the ball's weight balance and offers the required reaction force for rolling motion.

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In a DC generator, the generated emf is directly proportional to the

Answers

In a DC generator, the generated electromotive force (emf) is directly proportional to the rotational speed of the generator's armature and the strength of the magnetic field within the generator.

This relationship is described by the equation for the generated emf in a DC generator:

Emf = Φ * N * A * Z / 60

Where:

Emf is the generated electromotive force (in volts),

Φ is the magnetic flux density (in Weber/meter^2\(meter^2\) or Tesla),

N is the number of turns in the armature winding,

A is the effective area of the armature coil (in square meters),

Z is the total number of armature conductors, and

60 is a constant representing the conversion from seconds to minutes.

From this equation, we can see that the generated emf is directly proportional to the magnetic flux density (Φ) and the product of the number of turns (N), effective area (A), and the total number of armature conductors (Z). This means that increasing any of these factors will result in a higher generated emf.

The magnetic flux density (Φ) can be increased by using stronger permanent magnets or increasing the strength of the field windings in the generator.

The number of turns (N) and the effective area (A) are design parameters and can be optimized for a specific generator. Increasing the number of turns or the effective area will result in a higher generated emf.

Similarly, the total number of armature conductors (Z) can be increased to enhance the generated emf.

By controlling and optimizing these factors, the generated emf in a DC generator can be increased, resulting in higher electrical output. However, it is important to note that there are practical limits to these factors based on the design and construction of the generator.

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in an rlc circuit that includes a source of ac current operating at a fixed frequency and voltage, the resistance r is equal to the inductive reactance. if the plate separation of the parallel-plate capacitor is reduced to one-half of its original value, the current in the circuit doubles. find the original capacitive reactance in terms of r.

Answers

Xc = (0.467 - 0.427j)R is the original capacitive reactance in terms of r.in an rlc circuit that includes a source of ac current operating at a fixed frequency and voltage, the resistance r is equal to the inductive reactance

Since the resistance in the circuit is R, the reactance of the inductor is XL and the reactance of the capacitor is XC, then the impedance of the circuit is

Z = √[R² + (XL - XC)²]

Since the inductive reactance XL equals the resistance R, we have that

Z = √[R² + (XL - XC)²]

Z = √[R² + (R - XC)²]

Thus, the current in the circuit is thus I = V/Z = V/√[R² + (R - XC)²]

Now, when the plate separation of the parallel plate capacitor is reduced to one-half its original value, the current doubles. Also, when the plate separation is reduced to half, the capacitance doubles since C ∝ 1/d where C is capacitance and d separation between the plates. Since the capacitance doubles, the new reactance XC' is twice the initial reactance XC. So, XC' = 2XC. Thus the new impedance is thus

Z' = √[R² + (R - XC')²]

Z' = √[R² + (R - 2XC)²]

The new current is I' = V/Z' = V/√[R² + (R - 2XC)²]

Since the current doubles, I' = 2I.

V/√[R² + (R - 2XC)²] = 2V/√[R² + (R - XC)²]

1/√[R² + (R - 2XC)²] = 2/√[R² + (R - XC)²]

√[R² + (R - XC)²] = 2√[R² + (R - 2XC)²]

squaring both sides, we have

[R² + (R - XC)²] = 4[R² + (R - 2XC)²]

expanding the brackets, we have

[R² + R² - 2RXC + XC²] = 4[R² + R² - 4RXC + 4XC²]

[2R² - 2RXC + XC²] = 4[2R² - 4RXC + 4XC²]

2R² - 2RXC + XC² = 8R² - 16RXC + 16XC²

collecting like terms, we have

16RXC - 2RXC + XC² - 16XC² = 8R² - 2R²

14RXC - 15XC² = 6R²

15XC² - 14RXC + 6R² = 0

Using the quadratic formula to find XC, we have

Since it is capacitive, we take the negative part.

So, Xc = (0.467 - 0.427j)R

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Waldo gets stopped by the police.

Answers

Answer:

At least they found him.

Explanation:

If the participants have been reassigned, what type of variable would each have been??

If the participants have been reassigned, what type of variable would each have been??

Answers

If the participants hadn't been reassigned, age would have been a confounding variable. Option D

What are confounding variables?

A confounding variable is a variable that is associated with both the independent variable and the dependent variable.

In this case, age is associated with both video game playing and mood. Younger people are more likely to play video games, and they are also more likely to have better moods.

If the participants hadn't been reassigned, the difference in mood between the experimental and control groups could have been due to the difference in age, not the difference in video game playing.

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An object is made of glass and has the shape of a cube 0.13 m on a side, according to an observer at rest relative to it. However, an observer moving at high speed parallel to one of the object's edges and knowing that the object's mass is 3.3 kg determines its density to be 8100 kg/m3, which is much greater than the density of glass. What is the moving observer's speed (in units of c) relative to the cube

Answers

Answer:

\(v=0.9833\ c\)

Explanation:

The density changes means that the length in the direction of the motion is changed.

Therefore,

\($\text{Density} = \frac{m}{lwh}$\)

Given :

Side,  b = h = 0.13 m

Mass, m = 3.3 kg

Density = 8100 \(kg/m^3\)

So,

\($8100=\frac{3.3}{l \times 0.13 \times 0.13}$\)

\($l=\frac{3.3}{8100 \times 0.13 \times 0.13}$\)

l = 0.024 m

Then for relativistic length contraction,

\($l= l' \sqrt{1-\frac{v^2}{c^2}}$\)

\($0.024= 0.13 \sqrt{1-\frac{v^2}{c^2}}$\)

\($0.184= \sqrt{1-\frac{v^2}{c^2}}$\)

\($0.033= 1-\frac{v^2}{c^2}}$\)

\($\frac{v^2}{c^2}= 0.967$\)

\($\frac{v}{c}=0.9833$\)

\(v=0.9833\ c\)

Therefore, the speed of the observer relative to the cube is 0.9833 c (in the units of c).

An eraser is thrown upward with an initial velocity of 5.0m/s. The eraser’s velocity after 7.0 second is

Answers

Answer:

-63.6m/s

Explanation:

Given parameters:

Initial velocity  = 5m/s

Time of flight  = 7s

Unknown:

Velocity of the eraser after 7s = ?

Solution:

To solve this problem, we have to use the right motion equation which is given below;

          v  = u - gt

v is the final velocity

u is the initial velocity

g is the acceleration due to gravity  = 9.8m/s²

t is the time taken;

  Now insert the parameters and solve for v;

     v  = 5  - (9.8 x 7)  

    v   = -63.6m/s

explain how electrically neutral objects can become electrically charged even though charge cannot be created or destroyed

Answers

Answer:

The object gains or loses electrons to become charged. Both are a movement of electrons from the negative to the positive charge. A circuit has a continuous current provided by a voltage source.

Explanation:

The arm in the figure below weighs 42.3 N. The force of gravity acting on the arm acts through point A. Determine the magnitude of the tension force FT in the deltoid muscle of the force FS exerted by the shoulder on the humerus to hold arm in the position shown. Find Ft and Fs.

The arm in the figure below weighs 42.3 N. The force of gravity acting on the arm acts through point

Answers

Given:

Weight of arm = 42.3 N

Let's determine the magnitude of the tension force in the deltoid muscle force exerted by the shoulder.

Here, we are to find Ft and Fs.

To solve for Ft, take the equation for the sum of forces about point O.

We have:

\(F_t*0.080sin12-42.3*0.290=0\)

Rewrite the equation for Ft and evaluate:

\(\begin{gathered} F_t*0.016633-12.267=0 \\ \\ F_t=\frac{12.267}{0.016633} \\ \\ F_t=737.51\text{ N} \end{gathered}\)

Therefore, Ft = 737.51 N

Now, for the sum of vertical forces, we have:

\(\begin{gathered} -42.3+737.51*sin(12)-F_s*sin(\theta)=0 \\ \\ F_ssin(\theta)=-42.3+737.51sin(12) \\ \\ F_ssin(\theta)=115.20\text{ N} \end{gathered}\)

• For the sum of horizontal forces, we have:

\(\begin{gathered} F_scos(\theta)-F_tcos(12)=0 \\ \\ F_scos(\theta)=F_tcos(12) \\ \\ F_scos(\theta)=737.51cos(12) \\ \\ F_scos(\theta)=721.39\text{ N} \end{gathered}\)

Now, we have the equations:

\(\begin{gathered} F_ssin(\theta)=115.20\text{ N} \\ F_scos(\theta)=721.39\text{ N} \end{gathered}\)

Combine both equations:

\(F_ssin(\theta)+F_scos(\theta)=115.20+721.39\)

Square all terms:

\(\begin{gathered} F_s^2sin^2(\theta)+F_s^2cos^2(\theta)=115.20^2+721.39^2 \\ \\ Fs^2(sin^2(\theta)+cos^2(\theta))=115.20^2+721.39^2 \\ \\ \text{ WHere:} \\ (sin^2(\theta)+cos^2(\theta))=1 \end{gathered}\)

Solving further:

\(\begin{gathered} F_s^2*1=115.20^2+721.39^2 \\ \\ F_s^2=533674.5721 \end{gathered}\)

Take the square root of both sides:

\(\begin{gathered} \sqrt{F_s^2}=\sqrt{533674.5721} \\ \\ F_s=730.53\text{ N} \end{gathered}\)

ANSWER:

• Ft = 737.51 N

,

• Fs = 730.53 N

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