1. A ball rolls down a hill with a constant acceleration of 2.5 m/s^2. The ball
starts at rest and travels for 4.0 seconds before it hits a wall and stops.
How far did the ball travel before it stopped? *
a. 8.0 m
b. 12 m
c. 16 m
O d. 20 m

The power dissipated in the extension cord connected to the electric heater is determined by its resistance and the current flowing through it.

To calculate the power, we need to find the resistance of the extension cord. The resistance of a wire can be calculated using the formula:

R = (ρ * L) / A

where R is the resistance, ρ is the resistivity of the material (for copper it's approximately 1.7 x 10^-8 Ω.m), L is the length of the wire, and A is the cross-sectional area of the wire.

First, let's calculate the cross-sectional area of the wire using the diameter provided. The radius (r) can be obtained by dividing the diameter by 2:

r = 0.129 cm / 2 = 0.0645 cm = 0.000645 m

The cross-sectional area (A) can be calculated using the formula:

A = π * r^2

Substituting the values:

A = 3.14 * (0.000645 m)^2 = 0.0013128 m^2

Now, we can calculate the resistance (R)

R = (1.7 x 10^-8 Ω.m * 2.7 m) / 0.0013128 m^2 = 3.497 Ω

Finally, we can calculate the power (P) dissipated in the cord using the formula:

P = I^2 * R

Substituting the given current (I) of 16.0 A and the resistance (R):

P = (16.0 A)^2 * 3.497 Ω = 897.152 W

Therefore, 897.152 watts of power are dissipated in the extension cord.

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A radioactive isotope with a mass of 10 g has a 15 Bq activity. Consequently, it is possible to anticipate that 20g of the same isotope will have an activity of 30 Bq. Hence, the statement is true.

The becquerel (Bq), the SI unit of radioactivity, is named after Henri Becquerel. As defined by the unit of radioactivity:

A quantity of radioactive material that is active when one decay occurs every second.

One becquerel refers to ne radioactive decay per second which is numerically equal to 2.703 x 10⁻¹¹ Ci.

So, If  10g of a radioactive isotope has an activity of 15 Bq, 20g of the same isotope will have an activity of 30 Bq. The statement is true.

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Answer:

Potential basically tells us the ability of an object to do some work. And Potential energy is the amount of energy it acquires due to that Potential difference.

Explanation:

If the kinetic energy of an object changes, then the collision is considered inelastic. This is regardless of whether the objects sticks together or not.

My best answer for this question would be D) inelastic, because kinetic energy is not conserved.

We can tell from the collision that it is not elastic.

Momentum is is conserved, it transfers to the other player.

Kinetic energy is not conserved, at it turns into internal friction.

I hope this helps! :)

A football tackle is an inelastic collision , because kinetic energy is not conserved.

When two bodies or particles move towards enough to interact with each other it is called the particles or the bodies are colliding.

So, when the football tackles it's kinetic energy changes.

Thus, A football tackle is an inelastic collision , because kinetic energy is not conserved.

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Answer:

1200

Explanation:

f=ma

f_ force

m_ mass

a_ acceleration

Because solid concrete is stiffer, denser, and typically warmer than air, the speed of sound in solid concrete is faster than in air.

The sound wave moves at a 340 m/s pace. D = v • t can be used to calculate the distance, giving a value of 25.5 m. Since 0.150 seconds is the round-trip distance, use 0.075 seconds for the time.

The speed at which a sound source needs move in the direction of a stationary observer in order to double the apparent frequency. 640 m s - 1.

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When a 20-cm-long stick of m = 0. 600 kg is lifted by a rope tied the magnitude of the normal reaction from the floor on the stick is 0.9055 N.

a force that applies perpendicularly to two surfaces that are in touch. It represents the force that is squeezing the two surfaces together. The value of limiting friction increases with the magnitude of the typical response force. The normal response force is equal in size to the weight but acts in the opposite direction if weight is the sole vertical force acting on an item that is laying or moving on a horizontal surface. Therefore, raising the weight causes more friction.

Substitute the required values to find the value of R.

R = 3/13(0.400)(9.81m/s²)

R = 0.9055 N.

Therefore, the normal reaction from the floor on the stick is 0.9055 N.

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Answer:

a thing or things belonging to someone; possessions collectively.

Explanation:

Answer:

the answer is b as cenvection only occurs through movement of liquids and gases

Explanation:

Answer:

the answer is b

Answer:

B is the answer

Explanation:

When a student drinks 500 ml of water, it will lead to an increase in urine volume and a decrease in urine solute concentration. This is primarily regulated by the hormone called antidiuretic hormone (ADH), also known as vasopressin.

Upon water intake, the body's water balance is regulated by the hypothalamus in the brain. It senses the increase in blood volume and subsequently signals the posterior pituitary gland to release ADH into the bloodstream. ADH acts on the kidneys, specifically the collecting ducts, to regulate water reabsorption.
In the presence of ADH, the permeability of the collecting ducts to water increases. This allows water to be reabsorbed from the filtrate back into the bloodstream, reducing the volume of urine produced. As a result, the urine volume decreases.
Simultaneously, the increased reabsorption of water in the collecting ducts dilutes the solute concentration in the urine. This means that the amount of solutes, such as electrolytes and waste products, becomes more diluted in a smaller volume of urine.
Overall, the presence of ADH promotes water reabsorption in the kidneys, reducing urine volume and decreasing urine solute concentration. This mechanism helps maintain the body's water balance and prevent excessive fluid loss.

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The book moves towards the right. So the correct answer is Option D.

According to the free body diagram, the upward and downward forces are equal in magnitude as they have the same length of the vector but are directed in opposite direction.So these two components of force nullify each other. The force vectors towards the right side and left side are opposite in direction but are not equal in magnitude. Since the length of the force vector towards the right side is longer in length than that towards the left side, hence they do not nullify each other. The forces are unbalanced and the net force is directed towards the right side. So the book moves towards the right side.

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To freeze the liquid, the amount of heat that needs to be removed is determined by multiplying the mass of the liquid by the heat of fusion (Lf).

To boil the liquid, the amount of heat that needs to be added is determined by multiplying the mass of the liquid by the heat of vaporization (Lv).

The amount of heat required to freeze or boil a substance can be calculated using the formulas Q = m * Lf and Q = m * Lv, respectively. In these formulas, Q represents the amount of heat, m represents the mass of the substance, Lf represents the heat of fusion, and Lv represents the heat of vaporization. By substituting the given values of Lf and Lv, and knowing the mass of the liquid, one can calculate the required amount of heat for freezing or boiling the liquid.

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Answer:

add 44m/s and 22m/s then multiply it by 11

Explanation:

A race car traveling at 44m/s slows at a constant rate to a velocity of 22m/s over 11 seconds, Acceleration is -2 m/s² (deceleration), and distance is 242 meters.

To solve this problem, it is given:

Initial velocity (\(\(v_i\)\) ) = 44 m/s

Final velocity (\(\(v_f\) ) = 22 m/s

Time (\(\(t\)\) ) = 11 s

We have two tasks: finding the acceleration (a) and then using it to calculate the distance (d).

1. Calculate Acceleration (a):

\(\[a = \frac{v_f - v_i}{t} \\\\= \frac{22 \, \text{m/s} - 44 \, \text{m/s}}{11 \, \text{s}} \\\\= -2 \, \text{m/s}^2\]\)

The negative sign indicates deceleration (slowing down).

2. Calculate Distance (d):

Using the kinematic equation:

\(\[d = v_i \cdot t + \frac{1}{2} \cdot a \cdot t^2\]\)

Plugging in the values:

\(\[d = (44 \, \text{m/s}) \cdot (11 \, \text{s}) + \frac{1}{2} \cdot (-2 \, \text{m/s}^2) \cdot (11 \, \text{s})^2\]\)

Calculating the first part:

\(\[d = 484 \, \text{m} - 121 \, \text{m} \\\\= 363 \, \text{m}\]\)

Calculating the second part:

\(\[d = 363 \, \text{m} + \frac{1}{2} \cdot (-2 \, \text{m/s}^2) \cdot (121 \, \text{s}^2) \\\\= 363 \, \text{m} - 121 \, \text{m} \\\\= 242 \, \text{m}\]\)

The total distance the race car moves during this time is 242 meters.

Thus, acceleration is -2 m/s² (deceleration), and distance is 242 meters.

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The maximum height achieved by the body is 2.645 meters.

The maximum height achieved by the body when thrown upwards with velocity {v} is -

h{max} = v²/2g

Given is to find the maximum height achieved by the body.

The maximum height achieved by the body is -

h{max} = v²/2g

h{max} = (2.3)²/20

h{max} = (2.3)²/20

h{max} = 2.645 meters

Therefore, the maximum height achieved by the body is 2.645 meters.

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{A diver jumps off the 2.8 m springboard with an initial velocity of 3.2 m/s.

to. Determine the maximum height.}

The impressed force increases when Tyra pushes the pedals of her bicycle, the momentum of the bike increases hence it moves faster.

The Newton's laws of motion lay the foundation for dynamics. According to Newton's second law, the rate of change of momentum is directly proportional to the impressed force.

Hence, as the impressed force increases when Tyra pushes the pedals of her bicycle, the momentum of the bike increases hence it moves faster.

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The correct statements regarding gravitational waves are: The emission of gravitational waves from merging black holes is predicted by Einstein's General Theory of Relativity, Two orbiting neutron stars or black holes will gradually spiral toward each other as a result of energy being carried away by gravitational waves, The first direct detection of gravitational waves, announced in 2016, came from the LIGO observatory.

The correct options are (B), (C) and (F).

Einstein's General Theory of Relativity predicts the production of gravitational waves from merging black holes. According to the theory, any two heavy objects that circle one other will cause ripples in spacetime that propagate away as gravitational waves.

As a result of gravitational waves carrying away energy, two circling neutron stars or black holes will progressively spiral towards one other. The gravitational waves increase stronger as they go closer, driving the objects to spiral faster and faster until they ultimately join.

The Laser Interferometer Gravitational-Wave Observatory (LIGO) claimed the first direct detection of gravitational waves in 2016. The discovery validated Einstein's theory and opened the door to a new technique of investigating the cosmos.

Therefore, options B, C and F are correct.

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Answer:

all distant galaxies are moving away from the Milky Way galaxy and the whole universe is expanding

Explanation:

Answer:

4.32

Explanation:

The centripetal acceleration of any object is given as

A(cr) = v²/r, where

A(c) = the centripetal acceleration

v = the linear acceleration

r = the given radius, 1.9 m

Since we are not given directly the centripetal acceleration, we'd be using the value of acceleration due to gravity, 9.8. This means that

9.8 = v²/1.9

v² = 1.9 * 9.8

v² = 18.62

v = √18.62

v = 4.32 m/s

This means that, the minimum speed the cup must have so as not to get wet or any spill is 4.32 m/s

When the core temperature rises, stars start burning helium to carbon. This rise in temperature is brought on by. creating helium by fusing hydrogen in a shell.

When carbon and helium are combined, oxygen is created. Helium burns to create carbon. The star's surface temperature rises as it develops into a horizontal branch star as its core becomes rich in carbon and oxygen nuclei. When their brilliance remains constant, stars with masses larger than or equal to the Sun shrink and get hotter.

When it becomes heated enough, hydrogen in a shell outside the core can begin to fuse. The exterior is expanding.

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Answer:

A ball is thrown straight up with a speed of 30

m/s. What is the maximum height reached by

the ball?

Answer:

Life is useless it has no meaning every one wil die and even if you don't die you can't change anything if you do change it won't have a cause. Animals are there to just survive and what do you do after you survive.it nothing life if just useless.

but because life is useless we can give meaning to life we can do what we like, help others get meaning for here life and altho life is useless we can live the useless life in fun

Explanation:

this took me 4 min to make

The potential difference across one wire of a 20 m extension cord made of 16 gauge copper wire carrying a current of 5 A at room temperature is approximately 0.4 V.

The resistance of the 16 gauge copper wire can be calculated using the formula R = ρL/A, where ρ is the resistivity of copper (1.68 × 10^-8 Ωm), L is the length of the wire (20 m), and A is the cross-sectional area of the wire (1.31 × 10^-6 m^2 for 16 gauge wire). Plugging in these values, we get R = 0.013 Ω. Using Ohm's law, we can calculate the potential difference across the wire as V = IR, where I is the current (5 A). Thus, V = 0.065 V for the entire length of the cord. Since the cord has two wires, the potential difference across one wire would be half of this, which is approximately 0.033 V or 0.4 V rounded to one significant figure.

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To find the mass of the dog, we can use Newton's second law of motion which states that force (F) is equal to mass (m) multiplied by acceleration (a). Therefore, we can rearrange the formula to find the mass of the dog by dividing the force generated by the net force by the acceleration generated by the dog.

So, mass (m) = force (F) / acceleration (a)

Substituting the given values, we get:

m = 219 N / 2.84 m/s^2

Solving this equation gives us a mass of approximately 77.1 kg, which means option C is the correct answer.

It is important to note that the units of force, acceleration, and mass need to be consistent for this formula to work. Force is measured in Newtons (N), acceleration is measured in meters per second squared (m/s^2), and mass is measured in kilograms (kg).

Therefore, it is always important to read the question carefully and pay attention to the units provided. A detailed answer requires the use of the relevant formula and a clear explanation of the steps taken to arrive at the final answer.

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To calculate the distance at which two headlights are marginally resolved by a diffraction-limited eye lens, we can use the Rayleigh criterion:

sin(θ) = 1.22 * λ / (D * n)

Where θ is the angle between the two headlights, λ is the wavelength of light (575 nm in this case), D is the diameter of the pupil (which we'll assume to be 5 mm), and n is the index of refraction inside the eye (1.33 in this case).

Solving for the angle θ gives:

θ = sin^-1(1.22 * λ / (D * n))

θ = sin^-1(1.22 * 575 nm / (5 mm * 1.33))

θ ≈ 0.002 radians

Now, we can use basic trigonometry to calculate the distance between the two headlights that corresponds to this angle. If we assume the headlights are at the same height as our eyes (about 1.6 meters), we get:

distance = (1.6 m) * tan(θ / 2)

distance ≈ 4.4 km

So, if the lens of your eye is diffraction-limited, you could resolve two headlights that are about 4.4 kilometers apart. However, as mentioned earlier, this is not the only limitation to resolving headlights at a distance – there are other factors such as the size of the receptors in the retina that come into play.
Hi! To determine the distance at which two headlights are marginally resolved when the lens of your eye is diffraction-limited, we can use the Rayleigh criterion. The Rayleigh criterion states that two points are just resolvable when the central maximum of one's diffraction pattern coincides with the first minimum of the other's diffraction pattern.

The formula for the angular resolution (θ) based on the Rayleigh criterion is:

θ = 1.22 * (λ / D)

where λ is the wavelength of light (575 nm) and D is the diameter of the lens (approximated as the pupil size). In the human eye, the pupil size varies, but let's assume a typical diameter of 5 mm or 0.005 m.

θ = 1.22 * (575 * 10^(-9) m / 0.005 m)
θ ≈ 1.4 * 10^(-4) radians

Now, let's use the small angle approximation (θ ≈ sin(θ) ≈ tan(θ)) to find the distance (L) at which the headlights are marginally resolved:

θ ≈ (headlight separation) / L

Assuming a standard headlight separation of 1.2 meters, we can solve for L:

1.4 * 10^(-4) ≈ 1.2 m / L
L ≈ 1.2 m / (1.4 * 10^(-4))
L ≈ 8,571 meters

So, when the lens of your eye is diffraction-limited, the two headlights are marginally resolved at approximately 8,571 meters. Keep in mind that this is a theoretical calculation and might not exactly match real-life observations due to aberrations in the lens and the size of the receptors in your retina.

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The equivalent resistance of the three 10^12 ohm resistors connected in parallel is approximately 3.33 x 10^11 ohms.

The formula for calculating the equivalent resistance (R_eq) of resistors connected in parallel is given by:

\(\frac{1}{R_{\text{eq}}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + \ldots\)

In this case, we have three resistors connected in parallel, each with a resistance of 10^12 ohms. Substituting the values into the formula, we can calculate the equivalent resistance:

\(\frac{1}{R_{\text{eq}}} = \frac{1}{10^{12}} + \frac{1}{10^{12}} + \frac{1}{10^{12}}\)

Simplifying the equation, we get:

\(\frac{1}{R_{\text{eq}}} = \frac{3}{10^{12}}\)

Taking the reciprocal of both sides, we find:

\(R_{\text{eq}} = \frac{10^{12}}{3}\)

Thus, The equivalent resistance (R_eq) of three 10^12 ohm resistors connected in parallel is approximately 3.33 x 10^11 ohms.

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Answer:

1. horse rider

Explanation:

Answer:

A popular set of Peg-Words

What is a Peg-Word?

They're easy to remember because they rhyme with the names of the first ten natural numbers, is: one is a bun, two is a shoe, three is a tree, four is a door, five is a hive, six is sticks, seven is heaven, eight is a gate, nine is wine, ten is a hen.