PLEASE HELP QUICKLY!!

Which of the following statements, about projectile motion is false.
Select one:
O a. How fast an object falls depends on its mass.
O b. The range of a projectile depends on the angle at which the projectile is fired.
O c.
The horizontal component of the acceleration is zero
O d. The acceleration due to gravity always acts downwards.
O e. The velocity in the x and y directions can be treated independently
у

Answers

Answer 1

Answer:

A

Explanation:

took the test today at school, got a 95.

Answer 2

O a. How fast an object falls depends on its mass.

IS FALSE

Explanation:

Mass does not affect the speed of falling objects, assuming there is only gravity acting on it.


Related Questions

what is the formula that describes the magnitude of impulse on an object?

what is the formula that describes the magnitude of impulse on an object?

Answers

Answer:

Option C.

Impulse = mass × change in velocity

Explanation:

Impulse is defined by the following the following formula:

Impulse = force (F) × time (t)

Impulse = Ft

From Newton's second law of motion,

Force = change in momentum /time

Cross multiply

Force × time = change in momentum

Recall:

Impulse = Force × time

Thus,

Impulse = change in momentum

Recall:

Momentum = mass x velocity

Momentum = mv

Chang in momentum = mass × change in velocity

Change in momentum = mΔv

Thus,

Impulse = change in momentum

Impulse = mass × change in velocity

Particles q₁ +8.0 μC, q2 +3.5 μC, and
93-2.5 μC are in a line. Particles q₁ and q2 are
separated by 0.10 m and particles q2 and q3 are
separated by 0.15 m. What is the net force on
particle q₂?
Remember: Negative forces (-F) will point Left
Positive forces (+F) will point Right
+8.0μ.C
+91
0.10 m
+3.5 C
+92
0.15 m
-2.5μ C
93

Particles q +8.0 C, q2 +3.5 C, and93-2.5 C are in a line. Particles q and q2 areseparated by 0.10 m and

Answers

The net force on particle q₂, located between particles q₁ and q₃, is approximately 189000 N. The force exerted by particle q₁ on q₂ is positive and equals 252000 N, while the force exerted by particle q₃ on q₂ is negative and equals -63000 N.

To find the net force on particle q₂, we need to calculate the individual forces exerted on q₂ by particles q₁ and q₃ and then determine their sum.

The force between two charged particles can be calculated using Coulomb's law:

F = k * |q₁ * q₂| / r²

Where F is the force between the particles, k is the electrostatic constant (k ≈ 9.0 x \(10^9\) Nm²/C²), q₁ and q₂ are the charges of the particles, and r is the distance between them.

First, let's calculate the force exerted on q₂ by q₁:

F₁₂ = k * |q₁ * q₂| / r₁₂²

F₁₂ = (9.0 x \(10^9\) Nm²/C²) * |(8.0 μC) * (3.5 μC)| / (0.10 m)²

F₁₂ ≈ 252000 N

The force is positive because q₁ and q₂ have opposite charges.

Next, let's calculate the force exerted on q₂ by q₃:

F₂₃ = k * |q₂ * q₃| / r₂₃²

F₂₃ = (9.0 x \(10^9\)Nm²/C²) * |(3.5 μC) * (-2.5 μC)| / (0.15 m)²

F₂₃ ≈ -63000 N

The force is negative because q₂ and q₃ have the same charge.

Finally, we can find the net force on q₂ by summing the individual forces:

Net force = F₁₂ + F₂₃

Net force = 252000 N + (-63000 N)

Net force ≈ 189000 N

The net force on particle q₂ is approximately 189000 N.

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Starting from rest, a 32.2 kg child rides a 9.00 kg sled down a frictionless ski slope. At the bottom of the hill, her speed is 6.8 m/s. If the slope makes an angle of 16.9° with respect to the horizontal, how far along the hill did she slide on her sled?

Answers

To solve this problem, we can use conservation of energy:

Initial mechanical energy (at the top of the hill) = final mechanical energy (at the bottom of the hill)

Initial mechanical energy = mgh, where m is the total mass of the child and sled, g is the acceleration due to gravity (9.8 m/s^2), and h is the vertical height of the hill. Since the hill makes an angle of 16.9° with respect to the horizontal, we can use trigonometry to find the height:

h = (length of slope) * sin(16.9°)

We don't know the length of the slope, but we can solve for it by using the final speed of the child and sled:

Final mechanical energy = (1/2)mv^2, where v is the final speed of the child and sled.

Setting these equal, we get:

mgh = (1/2)mv^2

Substituting for h and solving for the length of the slope:

(length of slope) = v^2 / (2g*sin(16.9°))

Plugging in the given values:

(length of slope) = (6.8 m/s)^2 / (29.8 m/s^2sin(16.9°)) ≈ 12.5 meters

Therefore, the child and sled slide about 12.5 meters along the slope.

Weight is best defined as _____. A the amount of space an object takes up B the speed of an object C the force of gravity on an object D the amount of energy in an object

Answers

Weight is best defined as C) the force of gravity on an object.

given two vector A= 4.00i + 3.00j and B = 5.00i -200j find the magnitude of each vector

Answers

\(|A|=\sqrt{4^2+3^2}=5\\ |B|=\sqrt{5^2+(-2)^2}=\sqrt{29} \\\)

What is the density of a sample of charcoal with a mass of 3.0 g and a volume of 10 cm³?

A. 0.3 g/cm³
B. 3.3 g/cm³
C. 7 g/cm³
D. 30 g/cm³

Answers

The carbon has a mass of 3.0 g and a volume of 10 cm³. So we will calculate the density. The formula to calculate its density is:

d = m/v

We substitute the data in the formula and solve:

d = 3.0 g/10 cm³

d = 0.3 g/cm³

Therefore the density of the carbon sample is 0.3 g/cm³. Opction "A".

Skandar

7. Apply Concepts: suppose the dog walked at a constant speed the whole way. What
would the graph look like then? Explain.

Answers

If the dog walked at a constant speed the whole way, the graph of the dog's position versus time would be a straight line. This is because the dog's velocity (which is the derivative of position with respect to time) would be constant, and the acceleration (which is the derivative of velocity with respect to time) would be zero.

What is the speed about?

A straight line on a position-time graph indicates that the object is moving at a constant velocity. The slope of the line would be equal to the velocity of the dog.

If the graph is a horizontal line, it would indicate that the dog is at rest. If the line slopes upward, the dog is moving in the positive direction (for example, to the right in a position-time graph), and if the line slopes downward, the dog is moving in the negative direction.

In all, A constant speed means a constant velocity and the line is a straight line with a particular slope.

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7. Apply Concepts: suppose the dog walked at a constant speed the whole way. Whatwould the graph look

1. A ball is at rest on the top of a hill (see the figure).
At the top of the hill, the ball will have [the maximum value of its, no, the minimum value of its] gravitational potential energy and [no, the maximum value of its] kinetic energy. If the ball rolls down the hill then, its [gravitational potential energy, kinetic energy] is converted to [gravitational potential energy, kinetic energy] when it gets to the ground.

2. Get your stopwatch ready and prepare to drop the object from the height h you selected in the previous step. You should drop the object so its [bottom, top, middle] part is initially at the height h. The initial speed of the ball [zero, 9.8 m/s, 9.8 m/s^2, depends on the height h] You'll need to measure the time from when the ball leaves your hand to exactly when it hits the ground [ for the first time it bounces, after it bounces and then comes to rest, both the first time and then after it bounces; then average the two times]
.

1. A ball is at rest on the top of a hill (see the figure).At the top of the hill, the ball will have

Answers

1. At the top of the hill, the ball will have the maximum value of its gravitational potential energy and the minimum value of its kinetic energy. As the ball rolls down the hill, its gravitational potential energy is converted to kinetic energy when it gets to the ground.

2. When dropping the object, you should drop it so its top part is initially at the height h. The initial speed of the ball will be zero since it starts from rest. To measure the time it takes for the ball to hit the ground, you should start the stopwatch when the ball leaves your hand and stop it when the ball hits the ground for the first time. It is recommended to perform multiple trials and calculate the average time to minimize errors.

Two atoms of the same element only differ because one of the atoms has more electrons, making it an ion. Which statement is true? They have the same A-number and the same Z-number. They have the same A-number but different Z-number. They have a different A-number but the same Z-number. They have different A-numbers and different Z-numbers.

Answers

The correct answer is Option B. The statement "they have the same A-number but different Z-number" is true .

Atoms of the same element only differ because one of the atoms has more electrons, making it an ion.

This difference does not affect the mass of the atom, which is determined by the sum of its protons and neutrons, represented by the atomic mass or A-number.

The number of protons in an atom is called the atomic number or Z-number.

The Z-number of an element is unique to it. All the atoms of a given element have the same number of protons.

Thus, for example, all carbon atoms have six protons, making the Z-number of carbon 6.

However, different isotopes of an element can have different numbers of neutrons.

This means that they have a different atomic mass or A-number.

Therefore, they have the same A-number but different Z-number.

Therefore the correct Option is B.

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Which of the following properties allows sound to travel around objects,
around comners, or from one room to the next?
O A. Diffraction
O B. Interference
O c. Refraction
O D. Reflection

Answers

Answer:

Diffraction is correct :)

Explanation:

Diffraction of sound waves is commonly observed; we notice sound diffracting around corners or through door openings, allowing us to hear others who are speaking to us from adjacent rooms.

A container with a height of 7.7 inches with an open top has a 5.6 inch diameter and is open to the atmosphere. The container is filled with water. The bottom of the container has a 0.87 inch diameter hole. Calculate ρgh at the top of the container if the datum is set at the bottom of the container.

Answers

This is the pressure at the top of the container due to the height of the water. The pressure at the bottom of the container due to the height of the water is 0 Pa since the datum was set at the bottom.

What is pressure?

Pressure is a physical quantity used to measure the force applied by an object to another object or by an object to a surface. It can be expressed as the force per unit area and is typically measured in units such as pounds per square inch (psi) or pascals (Pa). Pressure can be applied to gases, liquids, and solids, and is generated by the weight of the atmosphere, the force of gravity, and by the movement of air or liquids. Pressure can also be created by mechanical devices such as pumps and compressors, as well as by chemical reactions.

ρ = density of water = 1000 kg/m3

g = acceleration due to gravity = 9.81 m/s2

h = height of the container = 7.7 in = 0.198 m

Using the equation ρgh = density x gravity x height, we can calculate the pressure at the top of the container to be:

ρgh = (1000 kg/m3)(9.81 m/s2)(0.198 m) = 1960.38 Pa

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Rhea is driving north in a straight line. After driving for 2.4 kilometers, she turns west, and drives for 3.1 km. At the end of her drive, what is the magnitude of her displacement vector? To find the magnitude of a resultant vector, use the Pythagorean theorem: a² + b² = c² A) 3.9 km B) 5.5 km (this one is incorrect) C) 2.8 km D) 2.3 km

Answers

Option A) 3.9 km is the correct answer. the magnitude of Rhea's displacement vector is approximately 3.92 km.

In order to find out the magnitude of Rhea's displacement vector, we have to add up all of the displacement vectors.

Then we can use the Pythagorean theorem to calculate the magnitude of the resultant vector.

Since Rhea is first driving north for 2.4 km and then west for 3.1 km, we can represent her displacement vectors as follows: Δx = 0 km and Δy = 2.4 km for the first vector, and Δx = -3.1 km and Δy = 0 km for the second vector.

We can then add these vectors together by adding their components: Δx = 0 km + (-3.1 km) = -3.1 km and Δy = 2.4 km + 0 km = 2.4 km.

This gives us a resultant vector of -3.1 km east and 2.4 km north.

Using the Pythagorean theorem, we can find the magnitude of this vector: \(\sqrt{(\(-3.1 km)^{2} + (2.4 km)^{2} ) } = \sqrt{(9.61 + 5.76) km^{2} } = \sqrt{15.37 km^{2} } \approx 3.92 km.\)

Therefore, the magnitude of Rhea's displacement vector is approximately 3.92 km.

Therefore, option A) 3.9 km is the correct answer.

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An airplane accelerates at 16 m/s² from rest. If it lifts off from an aircraft carrier after 6.0 s, how far did it go down the runway before lift off?

A. 48m
B. 96m
C. 290m
D. 580m​

Answers

B is the answer
16 x 6.0 = 96
Helping is my pleasure

What evidence have you discovered to explain how plants, such as sunflowers, and animals process energy?

Answers

Answer:

Living organisms collect the energy from the sun, and use water and carbon dioxide to produce sugars in the process known as photosynthesis. Animals can use the energy and sugars that have been provided by the plants. When plants get enough light, plants can make their own food

Final answer:

Plants process energy through photosynthesis, a process that converts light energy into chemical energy. Animals process their energy through cellular respiration, which turns biochemical energy from nutrients into adenosine triphosphate. These processes are interrelated, involving a cycle of oxygen, glucose, carbon dioxide, water and energy.

Explanation:

Plants, such as sunflowers, and animals process energy differently. Photosynthesis is the process by which plants, including sunflowers, convert light energy, usually from the sun, into chemical energy that can be later released to fuel the organisms' activities. This process occurs in the chloroplasts, specifically using the chlorophyll in the leaves.

Animals, on the other hand, get their energy through cellular respiration, a set of metabolic reactions and processes that take place in the cells of organisms to convert biochemical energy from nutrients into adenosine triphosphate (ATP), and then release waste products. Unlike photosynthesis which occurs in the chloroplasts, cellular respiration mostly occurs in the mitochondria.

The two processes, although different, are interrelated. Plants produce oxygen and glucose (sugar) during photosynthesis, which are then used by animals (and plants as well) in cellular respiration to produce carbon dioxide, water and energy. Then the carbon dioxide and water are taken up by the plants to use in photosynthesis.

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Can someone help me with this question AASP

You arrive at a crime scene in a high traffic area shortly after first responders have removed the victim. There are a number of bloody footprints at the scene. After ensuring that the scene is secured from further contamination, what is the most important step to take?

Group of answer choices

obtain the names of all medical personnel who had been at the site

obtain statements from witness

take photographs of all visible footprints

Search for more evidence

Answers

Answer:

It seems like c or d I'll say c

Answer:

I believe the answer to be D, search for more evidence. You have to gather evidence while it's still fresh

Please Help!!

A stone is thrown horizontally with an initial speed of 10m/s from the edge of the cliff. A stop watch measures the stone’s trajectory time from the top of the hill to the bottom to be 6.7s. What is the height of the cliff?

Answers

Answer:

h = 219.96 m

Explanation:

Speed of the stone with which it was thrown horizontally, v = 10 m/s

We need to find the height of the cliff if the stone’s trajectory time from the top of the hill to the bottom to be 6.7s.

It means we need to find the distance covered by the stone. As the horizontal speed of the stone is given , it means there is no vertical motion in the stone,u'=0

Using second equation of motion,

\(d=u't+\dfrac{1}{2}at^2\)

Put u'=0 and a=g

So,

\(d=\dfrac{1}{2}gt^2\\\\\text{Putting all the values to find d}\\\\d=\dfrac{1}{2}\times 9.8\times 6.7^2\\\\d=219.96\ m\)

So, the height of the cliff is 219.96 m.

You and a friend live on opposite ends of a long, straight street and agree to meet somewhere on the street between your homes. You leave promptly at 1pm, traveling at 1.8 m/s toward your friend’s house. Your friend, late as always, doesn’t leave until 1:10, and travels toward your house at 2.1 m/s. If you meet at a point 630 m from your friend’s house, what’s the distance between your house and your friend’s house?

Answers

Answer:

s = 2250 m = 2.25 km

Explanation:

First we need to find the time traveled by the friend. So, we use:

s₁ = v₁ t₁

where,

s₁ = distance traveled by friend = 630 m

v₁ =  speed of friend = 2.1 m/s

t₁ = time taken by friend = ?

Therefore,

630 m = (2.1 m/s)(t₁)

t₁ = 300 s

Since, you traveled 10 mintes = 600 s more than the friend. Hence,

s₂ = v₂ t₂

where,

s₂ = distance traveled by friend = ?

v₂ =  speed of you = 1.8 m/s

t₂ = time taken by you = 300 s + 600 s = 900 s

Therefore,

s₂ = (1.8 m/s)(900 s)

s₂ = 1620 m

Now, the total distance between house will be:

s = s₁ + s₂ = 630 m + 1620 m

s = 2250 m = 2.25 km

The four conducting cylinders shown in the figure are all made of the same material, though they differ in length and/or diameter. They are connected to four different batteries, which supply the necessary voltages to give the circuits the same current, I.
Rank the four voltages. V₁, V₂, V₃, and V₄. in order of decreasing value. Rank from largest to smallest. To rank items as equivalent, overlap them.
This content in not available an your mobile device, but your work is still incomplete. Please use a different device to submit your solution for grading

The four conducting cylinders shown in the figure are all made of the same material, though they differ

Answers

The ranking of the voltages, V₁, V₂, V₃, and V₄ in the order of decreasing voltage value is; V₂ > V₃ > V₁ > V₄

What is the voltage of an electric circuit?

A voltage is the difference in potential or pressure that pushes or causes the flow of electric current in a circuit or conducting loop.

The current flowing through the circuit can be found using the following formula;

\(I=\dfrac{V}{R}\)

The formula for conductivity is presented as follows;

\(\sigma =\dfrac{l}{R\times A}\)

Where;

σ = The conductivity of the material

l = The length

R = The resistance to electricity

A = The cross-sectional area of the conductor

Therefore;

\(R=\dfrac{V}{I}\)

\(R=\dfrac{l}{A\times \sigma}\)

\(\dfrac{V}{I} =\dfrac{l}{A\times \sigma}\)

\(V=\dfrac{l \times I}{A\times \sigma}\)

Based on the dimensions of the cylinders, obtained from a similar question, we get;

\(V_1=\dfrac{3\cdot L \times I}{\pi \cdot D^2\times \sigma} = 3\times \dfrac{ L \times I}{\pi \cdot D^2\times \sigma}\)

\(V_2= \dfrac{2\cdot L \times I}{\pi \cdot \dfrac{D^2}{4} \times \sigma} = \dfrac{8\cdot L \times I}{\pi \cdot D^2\times \sigma} = 8\times \dfrac{ L \times I}{\pi \cdot D^2\times \sigma}\)

\(V_3=\dfrac{L \times I}{\pi \cdot \dfrac{D^2}{4} \times \sigma} =\dfrac{4\cdot L \times I}{\pi \cdot D^2\times \sigma}= 4\times \dfrac{L \times I}{\pi \cdot D^2\times \sigma}\)

\(V_4=\dfrac{L \times I}{\pi \cdot D^2\times \sigma} = 1\times \dfrac{ L \times I}{\pi \cdot D^2\times \sigma}\)

Therefore;

V₁ = 3·V₄

V₂ = 8·V₄

V₃ = 4·V₄

The rank of the voltages in the order of decreasing value is therefore;

V₂ > V₃ > V₁ > V₄

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Einstein’s principle of equivalence states:
A) the gravitational constant is the same everywhere in the universe
B) it is impossible to tell the difference between gravitational force and the normal force
C) every mass exerts a gravitational force on every other mass
D) gravitational mass and inertial mass are the same
E)the laws of physics are the same in all inertial reference frames

Answers

I believe C is the answer

Hope this helps you have a great night!!
Good luck

What is the strength of the electric field at the position indicated by the dot in (Figure 1)?

What is the direction of the electric field at the position indicated by the dot in (Figure 1)? Specify the direction as an angle measured clockwise from the positive x
axis.

What is the strength of the electric field at the position indicated by the dot in (Figure 1)?What is

Answers

At the point indicated by the dot, the electric field vector would be at an angle of 45 degrees measured clockwise from the positive x-axis, since the x and y components of the electric field are equal at that point.

Assuming that the two charges are of equal magnitude and opposite sign and that the distance between them is d, the electric field at the point indicated by the dot can be found using Coulomb's law:

\(E = kq/r^2\)

where k is Coulomb's constant (\(8.99 *10^9 N m^2/C^2\)), q is the magnitude of the charge, and r is the distance between the charges.

Since the charges are of equal magnitude, the net charge at the point indicated by the dot is zero, so we only need to consider the electric field due to one of the charges. Let's assume that we want to find the electric field due to the positive charge.

The distance between the positive charge and the point indicated by the dot is r = d/2. Therefore, the electric field at that point is:

\(E = kq/(d/2)^2 = 4kq/d^2\)

The direction of the electric field is radial, pointing away from the positive charge and toward the negative charge. At the point indicated by the dot, the electric field vector would be at an angle of 45 degrees measured clockwise from the positive x-axis, since the x and y components of the electric field are equal at that point.

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A geosynchronous satellite orbits Mars (mass = 6.42 x 1023 kg) once every Martian day, 88640 s. At what radius does it orbit?

Answers

Answer:

angular speed ω = 2PI / T rad/sec  

ω^2*r = M*G/r^2

r = ³√ M*G/ω^2 = ³√6.42*10^23*6.67*10^-11*88640^2/39.5 = 2.04*10^7 m

Explanation:

A geosynchronous satellite orbits Mars once every Martian day, 88640 s then the radius of the orbit will be equal to 2.04 × 10⁷ m.

What is gravity?

The fundamental force of attraction operating on all matter is recognized as gravity, also spelled gravity, in mechanics. It has no impact on identifying the interior properties of common matter because it is the weakest force known to exist in nature.

As per the given data in the question,

Mass, m = 6.42 x 10²³ kg

Time, T = 88640 s

Use the formula of velocity for satellite,

v = 2πR/T

Where R represents the radius

Use the formula of centripetal acceleration,

\(a_c\) = v²/R

Thus;

\(a_c\) = (2πR/T)²/R

= 4π²R/T²

The formula for gravitational acceleration is:

\(a_g\) = Gm/R²

G = 6.674 × 10⁻¹¹ m³/kg. s²

Now, the satellite's gravitational acceleration is what is responsible for its centripetal acceleration. Thus,

Centripetal acceleration = gravitational acceleration.

Thus;

4π²R/T² = Gm/R²

Making R the subject gives;

R = ∛(GmT²/4π²)

Substitute the values in the above equation,

R = ∛((6.674 × 10⁻¹¹ × 6.42 x 10²³ × 88640²)/(4 × π²))

R = 2.04 × 10⁷ m

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Three bulbs_ two of which contain different gases and one of which is empty; are connected as shown in drawing (a). Which drawing (b) - (d) best represents the system after the stopcocks are opened and the system is allowed to come to equilibrium? drawing (d) drawing (b) drawing (c}

Answers

Drawing (d) best represents the system after the stopcocks are opened and the system is allowed to come to equilibrium, as it shows equal pressure in all three bulbs.

Since the two bulbs contain different gases, the pressures in each bulb will be different. When the stopcocks are opened, the gases will flow into the empty bulb until the pressures are equalized. The final state will have equal pressure in all three bulbs.

What is an equilibrium?

An equilibrium is a state of balance or stability achieved in a chemical reaction when the forward reaction rate is equal to the reverse reaction rate. In other words, it is the point at which the concentrations of reactants and products no longer change with time, because the rates of the forward and reverse reactions are equal.

At equilibrium, the amounts of reactants and products are governed by the equilibrium constant (K), which is a measure of the relative concentrations of the reactants and products at equilibrium.

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Technician A says that when replacing a rear hatch window with defroster grids, the
wiring connection may have a locking tab that will need to be released before
removal.
Technician B says that when replacing a rear hatch window with hydraulic lift struts,
the struts should be completely compressed before removal.
Who is right?
A only
B only
Both A and B
Neither A nor B

Answers

Technician A only is tight as hen replacing a rear hatch window with defroster grids, the wiring connection may have a locking tab that will need to be released before removal.

Who is a Technician?

A technician is someone with expertise and training in a technical procedure. You might need to contact a network technician if your computer network is giving you problems.

A technician is familiar with all of the technical details (ins and outs) of a particular process. A computer technician is an expert in both operating and repairing computers. Similar to a mechanic, an automotive technician is well-versed in cars and how to repair them. Technology and technicians are not always synonymous. A painter or musician may also be referred to as a technician if they have received training in a variety of artistic or musical techniques.

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Determine the angle between the directions of vector A with rightwards arrow on top = 3.00i + 1.00j and vector B with rightwards arrow on top = -3.00i + 3.00j.

A) 117°


B) 88.1°


C) 26.6°


D) 30.0°


E) 45.2°

Answers

Answer:

C) 26.6

Explanation:

I don't know how to calculate vector

The angle between the two vectors is 117⁰

The given parameters;

vector A = 3.00i + 1.00j

vector B = -3.00i + 3.00j

The  angle between the two vectors is calculated as follows;

\(cos \ \theta = \frac{A\ . \ B}{|A| \ . \ |B|}\)

The dot product of vector A and B is calculated as;

\(A \ . \ B = (3i \ + j) \ . \ (-3i \ + 3j) = (3\times -3) + (1 \times 3) = -9 + 3 =- 6\)

The magnitude of vector A and B is calculated as;

\(|A| = \sqrt{3^2 + 1^2} = \sqrt{10} \\\\|B| = \sqrt{(-3)^2 + (3)^2} = \sqrt{18}\)

The  angle between the two vectors is calculated as;

\(cos \ \theta = \frac{-6}{\sqrt{10} \ . \sqrt{18} } \\\\cos \ \theta = \frac{-6}{\sqrt{180} } \\\\cos \ \theta = -0.4472\\\\\theta = cos \ ^{-1} (-0.4472) \\\\\theta = 116.6^0 \approx 117^0\)

Thus, the angle between the two vectors is 117⁰

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John is traveling north at 20 meters/second and his friend Betty is traveling south at 20 meters/second. If north is the positive direction, what are John and Betty's speeds?

A.
-20 meters/second, 20 meters/second
B.
20 meters/second, -20 meters/second
C.
-20 meters/second, -20 meters/second
D.
0 meters/second, 40 meters/second

Answers

Answer:

B. 20 meters/ second, -20 meters/ second

Something that accelerates undergoes a
A. Change in velocity per unit time
B. Change in direction
C. Change.
D. Change in velocity

Answers

Answer :-

Change in velocity per unit time.

Explanation

Acceleration is defined as rate of change of velocity w.r.t time.

\(\boxed{\sf Acceleration=\dfrac{dv}{dt}}\)

Liz rushes down onto a subway platform to find her train already departing. She stops and watches the cars go by. Each car is 8.60 m long. The first moves past her in 1.80 s and the second in 1.61 s. Find the constant acceleration of the train.

Answers

The constant acceleration of the train is 0.33 m/s.

The average velocity can be calculated by using the formula:

velocity = distance/time

For the 1st car, the velocity is calculated as:

v₁ = 8.60 m / 1.80 s = 4.78 m / s

For the second car, velocity can be calculated as:

v₂ = 8.60 m / 1.66 s = 5.34 m / s

Now we can solve for the acceleration using the formula:

v₂² = v₁² + 2 a d

Rewriting in terms of a, we get

a = (v₂² – v₁²) / 2 d

a = (5.34)² – (4.78)² / (2 × 8.6)

a = 0.33 m/s

Therefore, the constant acceleration of the train is 0.33m/s.

what is acceleration explain?

acceleration, fee at which speed modifications with time, in terms of each pace and course. A factor or an object shifting in a directly line is improved if it hastens or slows down. motion on a circle is improved even if the velocity is steady, due to the fact the route is constantly converting

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Question 21 of 25
A car came to a stop from a speed of 28 m/s in a time of 2.1 seconds. What
was the acceleration of the car?
OA. -9.80 m/s²
OB. -13.3 m/s²
C. -6.23 m/s²
D. -7.84 m/s²

Answers

The acceleration of the car, when it is made to stop is -13.33 m/s². The correct option is B

What is acceleration?

Acceleration is given by the ratio of resultant or total force acting on any object and the its mass.

It can also be defined as the rate change of velocity with time.

acceleration a = (Δv) / (Δt)

A car came to a stop from a speed of 28 m/s in a time of 2.1 seconds.

The final velocity will be zero.

So, the acceleration is

a = 0-28/2.1

a = -13.33 m/s²

Thus, the acceleration of the car is -13.33 m/s².

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In a 25.0∘C room, hot coffee in a vacuum flask cools from 75.0∘C to 44.0 ∘C in 8 hours. Part A Find its temperature after another 8 hours.

Answers

The temperature of the vacuum flask after another 8 hours is 13 ⁰C.

What is rate of change of temperature?

The rate of change of temperature with respect to time is proportional to difference of the initial temperature and ambient temperature.

The change in the given temperature is calculated as follows;

Δθ = θf - θi

where;

θf is the final temperatureθi is the initial temperature

Substitute the given parameters and solve for the change in temperature of the vacuum flask.

Δθ = 75.0 ⁰C - 44.0  ⁰C

Δθ = 31 ⁰C

The temperature of the vacuum flask after another 8 hours is calculated as follows;

Δθ = 44.0  ⁰C - 31 ⁰C

Δθ = 13⁰C

Thus, the temperature of the vacuum flask after another 8 hours is 13 ⁰C.

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Robert pushes the box to the left at constant speed. In doing so, Robert does ______ work on the box. A. positive B. negative C. zero

Answers

Answer:

He does postive work

Explanation:

Because W= F xS sinစ

So since work is done such that Force and distance have the Sam direction

Thus စ=0

Then work is positive in value

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