Position vs. Time
30
20
10
Position (m)
10
- 20
- 30
o
10 20
30
40 50
Time (s)
60
70
6. Use the graph above to answer Question 6:
The graph represents the motion of a car moving linearly. When is the car
moving backwards?
A. Os to 10 s
B. 20 s to 40 s
C. 40 s to 50 s
D. 50 s to 60 s

Answer:

earthquakes are violent ruptures that happen in the earth that causes a giant ravine and they happen when the plates of earth separate

The velocity of the dodgeball is 705.6 m/s. This answer may seem extreme, but it is correct based on the assumption that no external forces acted on the system during the collision

Two items collide when they briefly come into contact with one another.

Before the collision, the momentum of the system is:

p_initial = m_child * v_child + m_dodgeball * v_dodgeball

After the collision, the momentum of the system is:

p_final = (m_child + m_dodgeball) * v_final

Since the momentum of the system is conserved, we can equate the two expressions:

m_child * v_child + m_dodgeball * v_dodgeball = (m_child + m_dodgeball) * v_final

0 + 0.25 kg * v_dodgeball = (52 kg + 0.25 kg) * 4.2 m/s\

v_dodgeball = [(52 kg + 0.25 kg) * 4.2 m/s] / 0.25 kg

v_dodgeball = 705.6 m/s

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Answer:

c

Explanation:

beacause when in a small pack it means small

Explanation:

the answers are calculated in above pictures

Hi there!

We know that:

Ei = Ef

At the bottom of the incline, we have both rotational and translational kinetic energy. Recall:

Translational KE  = 1/2mv²

Rotational KE = 1/2Iw²

We can begin by deriving an equation for the final energy of the sphere.

Moment of Inertia of a hollow sphere= 2/3mR²

\(KE_{total} = \frac{1}{2}mv^2 + \frac{1}{2}(\frac{2}{3}mR^2(\frac{v^2}{R^2}))\)

Simplify:

\(KE_{total} = \frac{1}{2}mv^2 + \frac{1}{3}mv^2 = \frac{5}{6}mv^2\)

Since Ei = Ef, and the initial energy is simply PE = mgh, thus:

mgh = 5/6mv²

Cancel out 'm':

gh = 5/6v²

We are given the angular velocity, so we can convert to velocity using:

v = ωr

v = 5.88(.68) ≈ 4.00 m/s

h = (5/6v²)/g

h = (5/6(4²))/g = 1.359 m

The value of n for a Bohr orbit with a radius of 1.00 mm is approximately 137.

In the Bohr model of the hydrogen atom, the radius of the electron orbit is given by the formula:

r = (0.529 Å) * n^2 / Z

Where:

r is the radius of the orbit

n is the principal quantum number

Z is the atomic number (which is 1 for hydrogen)

Given that the radius of the orbit is 1.00 mm, we can convert it to angstroms (Å) since the Bohr radius is typically expressed in angstroms. 1 mm is equal to 10,000 Å.

r = 1.00 mm = 10,000 Å

Plugging the values into the formula, we have:

10,000 Å = (0.529 Å) * n^2 / 1

Simplifying the equation:

n^2 = 10,000 Å / 0.529 Å

n^2 ≈ 18,913

To find the value of n, we take the square root of both sides:

n ≈ √18,913

n ≈ 137.43

Since the principal quantum number, n, must be a positive integer, we round it to the nearest whole number:

n ≈ 137

To determine the energy of the excited hydrogen atom in this orbit, we use the formula for the energy of the hydrogen atom in the Bohr model:

E = -13.6 eV / n^2

Plugging in the value of n:

E = -13.6 eV / (137^2)

E ≈ -13.6 eV / 18,769

E ≈ -7.25 × 10^-4 eV

The energy of the excited hydrogen atom in this orbit is approximately -7.25 × 10^-4 eV. The negative sign indicates that the electron is in an excited state with higher energy than the ground state.

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The dimensionally correct expression yielding force units is B. mv/t^2.

We can calculate it by following steps,

1. Recall that force is measured in Newtons (N), and its dimensional formula is [MLT^-2], where M represents mass, L represents length, and T represents time.
2. Examine each given formula and determine its dimensional formula:

A. mv^2/x: [M][LT^-2][L^-1] = [M][L^-1T^-2]
B. mv/t^2: [M][LT^-1][T^-2] = [M][LT^-3]
C. mvx^2: [M][LT^-1][L^2] = [M][L^3T^-1]
D. mx/v: [M][L][LT^-1] = [M][L^2T^-1]

3. Compare each formula's dimensional formula with the force's dimensional formula [MLT^-2].
4. Notice that only formula B (mv/t^2) has a dimensional formula matching the force's dimensional formula.

So, the dimensionally correct expression yielding force units is B. mv/t^2.

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Answer:

Drag; water.

Explanation:

Friction can be defined as a force that resists the relative motion of two objects when there surface comes in contact. Thus, it prevents two surface from easily sliding over or slipping across one another. Also, friction usually reduces the efficiency and mechanical advantage of machines but can be reduced through lubrication.

Generally, there are four (4) main types of friction and these includes;

I. Static friction.

II. Rolling friction.

III. Sliding friction.

IV. Fluid friction.

Fluid friction can be defined as a type of friction that acts on physical objects moving through a liquid or gas. A fluid refers to any physical substance that can flow and is able to take the shape of a container.

In science, matter can be defined as anything that has mass and occupies space. Any physical object that is found on earth is typically composed of matter. Matter are known to be made up of atoms and as a result has the property of existing in states.

Basically, matter exists in three (3) distinct or classical phases and these are; solid, liquid and gas.

Generally, friction applies to all states of matter; in the gaseous state, it is called drag resistance and in a liquid it's called water resistance.

1. All the relevant resistors are in series, so the total (or equivalent) resistance is the sum of the resistances of the resistors: 20 Ω + 80 Ω + 50 Ω = 150 Ω [choice A].

2. The ammeter will read the current flowing through this circuit. We can find the ammeter reading using Ohm's law in terms of the electromotive force provided by the battery: I = ℰ/R = (30 V)(150 Ω) = 0.20 A [choice C].

3. The voltmeter will measure the potential drop across the 50 Ω resistor, i.e., the voltage at that resistor. We know from question 2 that the current flowing through the resistor is 0.20 A. So, from Ohm's law, V = IR = (0.20 A)(50 Ω) = 10. V, which will be the voltmeter reading [choice F].

4. Trick question? If the circuit becomes open, then no current will flow. Moreover, even if the voltmeter were kept as element of the circuit, voltmeters generally have a very high resistance (an ideal voltmeter has infinite resistance), so the current moving through the circuit will be negligible if not nil. In any case, the ammeter reading would be 0 A [choice B].

The correct answer is option is  B. Auger. Because  an auger drill rig is specifically designed for drilling in soft soils. It uses a large rotating drill bit with a helical screw-like design to remove soil from the hole it is drilling.

Also, It is a popular choice for environmental and geotechnical drilling projects, as it can drill quickly and efficiently through soft, saturated soils.. Auger drills are available in a variety of sizes and configurations, and can be used with different drilling techniques, including direct push, rotary, and sonic drilling. Hence, the correct answer is option : B.

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The water pressure as it exits into the air is P2 = Patoms

b) The height, h of the standing column of water is 4.6m

By Bernoulli's principle,

p1 - p2 = ρgh

h = 45 × \(10^{3}\) / 1000 × 9.8

h = 4.6m

The relationship between a fluid's speed and pressure is described by Bernoulli's principle, which at first glance seems paradoxical. Many people think that Bernoulli's principle shouldn't be true, but this may be because they don't grasp what Bernoulli's principle actually states. According to Bernoulli's principle, which is stated below: Higher fluid velocity sites will experience less pressure than slower fluid velocity points inside a horizontal fluid flow. Thus, in a horizontal water pipe with a variable diameter, areas of fast-moving water will experience lower water pressure than areas of slow-moving water Since many individuals equate high speeds with high pressures, this may seem paradoxical to them. However, we'll demonstrate in the following section that this is really another way of expressing that water will accelerate if there is greater pressure behind it than in front of it. We will explain how Bernoulli's concept came to be, illustrate it in greater detail, and attempt to lessen its mystique in the part that follows.

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The time needed for a 400-grams radioactive element with half-life of 13 minutes to decay to 4 grams is 86.4 minutes.

The half-life formula of a decay system is given by:

A = Ao x (0.5)^(t/h)

Where:

A = final amount

Ao = Initial amount

t = time period

h = half-life

Parameters given in the problem:

h = 13 minutes

Ao = 400 grams

A = 4 grams

Plug these parameters into the formula:

4 = 400 x (0.5)^(t/13)

(0.5)^(t/13) = 0.01

t/13 x log(0.5) = log (0.01)

t/13 = 6.64

t = 6.64 x 13 = 86.4 minutes

Hence, it takes 86.4 minutes for the element X to decay to 4 grams.

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Angela can calculate the frictional torque applied to the wheel by using a torque wrench. The torque wrench measures the amount of torque needed to rotate the wheel, which is equal to the frictional torque.

To calculate the frictional torque applied to a wheel, Angela can use a torque wrench. A torque wrench is a tool that is used to measure the amount of torque required to rotate the wheel.

When the wheel is turned with the torque wrench, the amount of torque needed to rotate it is equal to the frictional torque that the wheel is experiencing.

By measuring the torque required to rotate the wheel, Angela can calculate the frictional torque accurately.

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A boat is pulled into a dock by means of a winch 20 feet above the deck of the boat. If the boat is moving toward the dock at 2 feet per second, when there is 25 feet of rope out. The rate at which the winch is pulling in the rope at this instant is 25 feet per second.

The correct answer is option G.

To solve this problem, we can use the concept of related rates. Let's denote the length of the rope as "r" and the distance between the boat and the dock as "d". We are given that the boat is moving towards the dock at a rate of 2 feet per second.

We need to find the rate at which the winch is pulling in the rope, which can be represented by the derivative dr/dt.

Using the Pythagorean theorem, we can relate the variables "r" and "d":

\(d^2 = r^2 + h^2\)

where h is the height of the winch above the deck of the boat. In this case, h is given as 20 feet.

Differentiating both sides of the equation with respect to time t, we get:

2d * dd/dt = 2r * dr/dt

Simplifying the equation, we have:

dd/dt = (r/dr) * (dr/dt)

We are given that when there is 25 feet of rope out (r = 25), the boat is moving towards the dock at a rate of 2 feet per second (dr/dt = -2).

Substituting these values into the equation, we have:

dd/dt = (25/-2) * (-2) = 25 feet per second

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The question probable may be:

A boat is pulled into a dock by means of a winch 20 feet above the deck of the boat. If the boat is moving toward the dock at 2 feet per second, when there is 25 feet of rope out, what is the rate at which the winch is pulling in the rope at this instant?

A) -2.5

B) 1.5

C) -1.8

D) 1.2

E) 3.1

F) 2.4

G) 25

From the question, the compression that is able to produce the maximum speed is 1.73 m.

We can see that there is potential energy stored in the spring. This energy can be converted into kinetic energy when a spring is released. In this case, the spring can now be able to do a meaningful work as we can see.

The image that shows the set up of the question can be seen clearly in the image that is attached to this answer as we can see. We can now write the following;

W = dmgsin∅

Where W is the work done by the spring, we have;

1/2 kx² = dmgsin∅

k = force constant

x = compression

d = distance covered

∅ = angle covered

Thus we can substitute the values as;

(0.5 * 170 * x²) = 4 * 13 * 9.8 * sin 30

x² = 4 * 13 * 9.8 * sin 30/0.5 * 170

x² = 254.8/85

x = 1.73 m

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Answer:

M.E = 0.241 Joules.

Explanation:

Given the following data;

Spring constant, k = 33.5 N/m

Extension, e = 0.12m

Mass = 1.20kg

To find the mechanical energy (M.E);

Mathematically, mechanical energy is given by this formula;

M.E = ½ke²

Where;

Substituting into the equation, we have;

M.E = ½*33.5*0.12²

M.E = ½*33.5*0.0144

M.E = 0.4824/2

M.E = 0.241 Joules.

It's D.

Weight always points downward.

The normal force always points perpendicular to the surface.

Friction opposes motion, so it points in the direction opposite the direction in which the block is moving.

Answer: It sends signals and messages throughout the body.

Answer:

b.

Explanation:

if you read B. its explains it sends signals and messages throughout your body so thats uour nervous system.

your welcome

the force between the two wires if they are separated by 2.50 cm is 0.525 N.

Given that force F between two parallel wires carrying electric currents is inversely proportional to the distance d between the wires and that a force of 0.750 N exists between wires that are 1.75 cm apart and that we are supposed to find the force between them if they are separated by 2.50 cm.

Let the initial force be F₁ and the initial distance be d₁.

Therefore, we can write the relationship between force and distance as;

F₁d₁ = F₂d₂

Where

;F₁ = 0.750 N (initial force)

d₁ = 1.75 cm (initial distance)

F₂ = ? (force at new distance)

d₂ = 2.50 cm (new distance)

Let us find F₂;F₁d₁ = F₂d₂F₂ = F₁d₁/d₂

Now substitute the values we know;

F₂ = (0.750 N x 1.75 cm) / 2.50 cmF₂ = 0.525 N

Therefore, the force between the two wires if they are separated by 2.50 cm is 0.525 N.

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The mutual inductance of this system is approximately 0.0016 T m²/A.

The mutual inductance of this system can be determined using the formula:
M = (μ₀ * n₁ * n₂ * A) / l
where:
- M is the mutual inductance
- μ₀ is the permeability of free space (4π x 10^-7 T m/A)
- n₁ is the number of turns in the solenoid (600 turns)
- n₂ is the number of turns in the rectangular coil (1 turn)
- A is the area of the rectangular coil

=1.1 cm x 1.4 cm

= 1.54 cm²

= 1.54 x 10^-4 m²)
- l is the length of the solenoid (0.55 m)

Substituting the values into the formula, we get:
M = (4π x 10^-7 T m/A) * (600 turns) * (1 turn) * (1.54 x 10^-4 m²) / (0.55 m)
Simplifying the expression:
M ≈ 0.0016 T m²/A
So, the mutual inductance of this system is approximately 0.0016 T m²/A.

In this system, the solenoid and the rectangular coil are perpendicular to each other, meaning the rectangular coil is placed at a right angle to the long axis of the solenoid.

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Answer:

a counterclaim

Explanation:

authors purpose is what an author wrote somthing for

opinion is someones thoughts or "side" on a argument

an arguement is a battle of opinions if that makes sense

Answer:

She took it as priority and got to work

Answer:

velocity is vector Quantity

Answer: 22 batches.

Explanation:

Given that 11 kg is a familiar weight for a bag of flour. Also, it is given that It takes 500 g of flour to make one batch of cookies.

How many batches of cookies can you make with one bag of flour

Let's first convert 11 kg into grams (g) by multiplying it by 1000

11 × 1000 = 11000 g

Divide 11000 by 500

11000/500 = 22

Therefore, 22 batches of cookies can be made with one bag of flour.

The transformation of Polaroid in recent years has been characterized by a shift from analog instant photography to embracing digital technologies and modernizing its product offerings. This transformation has allowed Polaroid to adapt to the changing market and cater to the needs and preferences of today's consumers.

In recent years, Polaroid has introduced a range of digital instant cameras that combine the nostalgic appeal of instant photography with the convenience and versatility of digital imaging. These cameras typically feature built-in printers that produce instant prints, capturing the essence of Polaroid's iconic instant photography experience. Additionally, Polaroid has embraced the smartphone era by developing products like the Polaroid Lab, which allows users to turn digital photos from their smartphones into classic Polaroid-style prints.

Furthermore, Polaroid has expanded its product lineup to include various accessories, such as portable printers and film formats compatible with both analog and digital devices. By embracing digital technologies while staying true to its instant photography heritage, Polaroid has successfully repositioned itself in the market, appealing to a new generation of photography enthusiasts seeking a blend of nostalgia and modern functionality.

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48 m/s in terms of km/h is 720.8 km/h. In terms of m/min is 2880 m/min, in terms of km/s is 0.048 km/s and in terms of km/min is 2.88 km/min.

To solve this question, we need to understand some terms. The unit of velocity is measured in m/s. It can be expressed in different units of velocity.

1 km (kilometer) = 1000 meter

1 h (hour) = 3600 seconds

1 minutes = 60 seconds

To convert m/s into km/h,

48 m/s * 3600/1000 =  172.8 km/h

To convert m/s into m/min,

48 m/s * 60 = 2880 m/min

To convert m/s into km/s,

48 m/s ÷ 1000 = 0.048 km/s

To convert m/s into km/minutes,

48 m/s * 60 / 1000 = 2.88 km/min

Therefore, the 48 m/s expressed is 172.8 km/h, 2880 m/min, 0.048 km/s and 2.88 km/min.

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48 m/s is equivalent to  172.8 km/h, 2880 m/min, 0.048 km/s, and 2.88 km/minute.

To express 48 m/s in different units of velocity:

km/h (kilometers per hour):

To convert m/s to km/h, we can use the conversion factor of 3.6 since 1 m/s is equal to 3.6 km/h.

48 m/s * (3.6 km/h / 1 m/s) = 172.8 km/h

Therefore, 48 m/s is equivalent to 172.8 km/h.

m/min (meters per minute):

To convert m/s to m/min, we can use the conversion factor of 60 since there are 60 seconds in a minute.

48 m/s * (60 m/min / 1 s) = 2880 m/min

Therefore, 48 m/s is equivalent to 2880 m/min.

km/s (kilometers per second):

Since 1 kilometer is equal to 1000 meters, to convert m/s to km/s, we divide the value by 1000.

48 m/s / 1000 = 0.048 km/s

Therefore, 48 m/s is equivalent to 0.048 km/s.

km/minute (kilometers per minute):

To convert m/s to km/minute, we first need to convert m/s to km/s (as calculated in the previous step) and then multiply by 60 to convert seconds to minutes.

0.048 km/s * 60 = 2.88 km/minute

So, 48 m/s is equivalent to 2.88 km/minute.

Hence, 48 m/s is equivalent to approximately 172.8 km/h, 2880 m/min, 0.048 km/s, and 2.88 km/minute.

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We say that momentum is conserved, we mean that the total momentum of a system remains constant.

This means that in any interaction or collision, the total amount of momentum before and after the collision is the same. This is due to the law of conservation of momentum, which states that the total momentum of a closed system (meaning that no external forces are acting on it) is constant. This means that the total momentum before and after an interaction must be the same, as the momentum of the system cannot be changed unless an external force acts on the system. Whether an elastic or non-elastic collision occurs, momentum is always conserved. Kinetic energy, however, is not conserved in a non-elastic collision; instead, it is transformed into heat energy, potential energy, etc.

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