A 52 kg child is struck in the face by a 0. 25 kg dodgeball, as he is standing against a wall. If the child is knocked backward at 4. 2 m/s, what is the velocity of the dodgeball? (This answer is going to seem extreme)

The magnitude of the bicycle's centripetal acceleration can be calculated using the formula:

a = v^2 / r

where v is the tangential speed and r is the radius of the circular path. Plugging in the given values, we get:

a = (2.7 m/s)^2 / 3.2 m

a = 2.27 m/s^2

The magnitude of the centripetal force on the bicycle can be calculated using the formula:

F = m * a

where m is the combined mass of the bicycle and the child. Plugging in the given values, we get:

F = 54 kg * 2.27 m/s^2

F = 122.58 N

Therefore, the magnitude of the bicycle's centripetal acceleration is 2.27 m/s^2, and the magnitude of the centripetal force on the bicycle is 122.58 N.

Answer:

[tex]\huge\boxed{\sf F_c=123.02 \ N}[/tex]

[tex]\huge\boxed{\sf a_c=2.28 \ m/s^2}[/tex]

Explanation:

Mass = m = 54 kg

Tangential speed = v = 2.7 m/s

Radius = r = 3.2 m

Centripetal force = [tex]F_c[/tex] = ?

Centripetal acceleration = [tex]a_c[/tex] = ?

[tex]\displaystyle F_c=\frac{mv^2}{r}[/tex]

[tex]\displaystyle a_c=\frac{v^2}{r}[/tex]

Put the given data in the above formula.

[tex]\displaystyle a_c=\frac{(2.7)^2}{3.2} \\\\a_c=\frac{7.29}{3.2} \\\\a_c=2.28 \ m/s^2\\\\[/tex]

Put the given data in the above formula.

[tex]\displaystyle F_c=\frac{(54)(2.7)^2}{3.2} \\\\F_c=\frac{(54)(7.29)}{3.2} \\\\F_c=\frac{393.66}{3.2} \\\\F_c=123.02 \ N\\\\\rule[225]{225}{2}[/tex]

The energy used by the 200 W lamp for 24 hours is 17280000 J whereas, the energy used by the 55 W lamp for one day is 4752000. Therefore, by replacing the200 W lamp by 55 W, we save 12,528,000 J of energy.

Power is the unit of energy or work done by an object. It measures how much energy used by the object per second to do a work. Hence, power is the work done or energy by time in seconds.

Given that power of one lamp = 200 W

time = 24 hour= 86400 s.

then energy = power × time

  200 W × 86400 s = 17280000 J

Similarly the energy consumed by the 55 W lamp for 24 hours is:

86400 s × 55 W = 4752000J

Then, if replace the 200 W lamp by the 55 W LED lamp, we can save an energy of 17280000 J - 4752000 J = 12,528,000 J.

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The change in gravitational potential energy of the dog is -176.58 J.

The change in gravitational potential energy of an object is given by:

ΔPE = mgh

where

ΔPE is the change in gravitational potential energy

m is the mass of the object

g is the acceleration due to gravity, and

h is the change in height.

In this case, the dog jumps off a 10 m staircase down to his doggy house which is 4 m high. So the change in height,

h = -6 m (negative because the dog is moving downwards).

g = 9.81 m/s^2

m = 3 kg.

Substituting these values into the equation above, we get:

ΔPE = mgh

ΔPE = (3 kg)(9.81 m/s^2)(-6 m)

ΔPE = -176.58 J

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10 is the appropriate number. Here, a machine's mechanical advantage. Hence, choice (a) is the appropriate response. Three mechanical advantages exist: force, distance, and speed.

Although though force mechanical advantage is the sole topic covered in the majority of scientific publications, it is nevertheless crucial.

using the mechanical advantage formula.

[tex]MA= \frac{Fo}{Fi}[/tex]

alternative ≠ 480[tex]N[/tex] and [tex]Fi = 50n,[/tex]

[tex]MA = \frac{480n}{50n}[/tex]

simplify  [tex]MA[/tex]  ≈  10

The load to effort ratio is used to quantify mechanical advantage of a machine. A machine's mechanical advantage determines its efficiency. Mechanical Advantage is equal to Load / Effort, or F 0 F I which means that is the mechanical energy, is the production force, and corresponds to the input force.

An object having mass changes its velocity in response to a push or pull. Force is an exterior agent that has the power to alter the rest or motion of something like a body. It has magnitude and direction.

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Acidity is indicated by pH values lower than 7, while baseness is shown by pH values higher than 7. The pH of water is actually a measurement of the proportion of free ions of hydrogen and hydroxyl that are in the solution.

The souls were shown by him. He pointed to the nicely arranged clothing on the nightstand next to the bed. They still lacked one goat, according to a hasty count.

The monitored value from the a transaction file that the monitor reported for a known amount of the specified Parameter. Precision is determined by comparing this value to the known quantity known as REAL VALUE.

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Answer:

C

Explanation:

The average age of jumpers is approximately 28.

It is the ratio of sum of all the values to the number of values.

Here,

(1) Difference in age between the oldest and youngest jumpers

                        = 56 - 11 = 45

(2) Difference between greatest and least number of jumps

                       = 60 - 20 = 40

(3) For Bob, Boe and Brad, A(age of jumper) > N( no. of jumps)

(4) No, the eldest two jumpers together did more jumps than the youngest two  jumpers.

(5) 45 - 31 = 16

(6) 31 - 25 = 6

(7) x - y = 19

    From the figure, values of x and y are 50 and 31. So x and y are Brett   and Bev.

(8) 3y = x

    From the figure, the values of x and y are 20 and 60. So x and y are Brad and Benjy.

(9) b = 2a + 6

    From the figure, the values of a and b are 25 and 56. So and b are Brad and Bob.

(10) Average approximately = 28

Hence,

The average age of jumpers is approximately 28.

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Answer:

velocity, power, energy, force and density

Explanation:

Two or more physical objects which are in contact with each other exert forces on each other. Here the tension of the cable is  16349.96 N.

The force along the length of a medium especially a force carried by a flexible medium, such as a rope or cable is defined as the tension. The tension on an object is equal to the product of the mass of the object and the gravitational force added and acceleration.

T = mg + ma

Here W = mg

W = 1000.0 × 9.81 = 9810

using geometry,

tan α = 3/4

α = 36.87°

Tsinα = W

T sin36.87° = 9810

T = 16349.96 N

Thus the tension of the cable is 16349.96 N.

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The roller coaster car contains a total of 19810 joules of energy at this point.

First, we need to consider its kinetic energy and potential energy.

The potential energy of the car at a height of 5 m above Earth's surface is given by:

PE = m * g * h

Where

Substituting the given values, we get:

PE = (200 kg) * (9.81 m/s²) * (5 m)

PE = 9810 J

The kinetic energy of the car is given by:

KE = (1/2) * m * v²

Where v is the velocity of the car.

Substituting the given values, we get:

KE = (1/2) * (200 kg) * (10 m/s)²

KE = 10000 J

Therefore, the total energy of the roller coaster car at this point is:

Total Energy = KE + PE

Total Energy = 10000 J + 9810 J

Total Energy = 19810 J

Therefore, the roller coaster car contains a total of 19810 joules of energy at this point.

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Since Hooke's law implies linear, i anticipate that the length of a spring will double if the weight hanging on this is doubled. The graph below depicts a spring's ideal Hooke's law graph.

At the range of the material's elastic limit, according to Hooke's law, the strain is inversely related to the applied stress. The molecules and atoms in elastic materials stretch when they are stretched, distort when under stress, and then return to their original shape once the tension is released.

In the year 1660, an English british scientist Robert Hooke discovered Hooke's law, commonly known as that of the law of elasticity. According to Hooke's law,  the magnitude of the deformation is precisely proportional to a deforming load or force.

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If F = 37 N, the static frictional force between the block and the table and the minimum force required to move it must be equal.

It is the force that regulates itself. The value of static friction varies from zero to the smallest force required to initiate motion. The formula for determining static friction is as follows: Normal Force divided by the static friction coefficient is static friction.

Although the maximum static friction will rise, the frictional force will always be the same as the weight in mg because friction cannot accelerate an object. Because FrN can take any value less than N to balance the weight, this is the case.

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The pressure at the bottom of both beakers is the same. The correct answer is D.

The pressure at the bottom of both beakers is the same. The pressure at the bottom of a fluid is determined by the weight of the fluid above it, which is the same for both beakers since they are equally filled with the same amount of liquid. The air pressure on the beakers does not affect the pressure inside the liquid.

The weight of both liquids cannot be the same, as the density of the liquid in beaker B is greater than that of water, so it will have a greater weight. The area at the bottom of the beakers may be the same or different, but it is not relevant to the pressure at the bottom. Therefore, the correct statement is D, that the pressure at the bottom of both beakers is the same.

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--The complete question is, Two identical beakers are both equally filled with a liquid. Beaker A contains water. Beaker B contains a liquid that is denser than water. Which statement is true?
A. The air pressure on the beaker containing dense liquid is greater.
B. The weight of both liquids is the same.
C. The area at the bottom of both beakers is the same.
D. The pressure at the bottom of both beakers is the same.--

Answer:

W = m g h      increase in PE due to lfting bag

W1 = 90 kg * 9.8 m/s^2 * 6 m

W2 = 45 kg * 9.8 m/s^2 * 12 m

W2 / W1 = 1        the work is the same in both cases

The power required is different

P = W / t

Since t is smaller for W2 and the work output is the same the power required to produce W2 is twice as great

Answer:

Approximately [tex]7.2\; {\rm m\cdot s^{-1}}[/tex] (rounded up), assuming that this circle is vertical and [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex].

Explanation:

Let [tex]v[/tex] denote the tangential speed of the ball, and let [tex]r[/tex] denote the radius of the circle. Since the ball is in a circular motion, the acceleration on this ball would be equal to the centripetal acceleration [tex]a = (v^{2} / r)[/tex]. The net force on this ball would be [tex]F_{\text{net}} = m\, a = (m\, v^{2} / r)[/tex].

The net force on this ball is also the vector sum of the tension [tex]T[/tex] in the rope and the weight of the ball [tex]m\, g[/tex]:

[tex]F_{\text{net}} = (\text{weight}) + T[/tex].

[tex]T = F_{\text{net}} - (\text{weight})[/tex].

Note that:

[tex]\| T \| = \|F_{\text{net}} - (\text{weight})\| \le \|F_{\text{net}} \| + \| (\text{weight})\|[/tex].

In other words, the magnitude of tension [tex]T[/tex] is at most equal to [tex]\|F_{\text{net}} \| + \| (\text{weight})\| = (m\, v^{2} / r) + (m\, g)[/tex], which happens when weight and net force are in opposite directions.

When the speed of the ball is maximized, the magnitude of tension [tex]T[/tex] would be at the largest possible value of [tex]130\; {\rm N}[/tex]. Rearrange the equation and solve for speed [tex]v[/tex]:

[tex]\displaystyle \frac{m\, v^{2}}{r} + m\, g = \|T\|[/tex].

[tex]\begin{aligned}v^{2} = \frac{r}{m}\, (\|T \| - m\, g) = \frac{r\, \|T\|}{m} - r\, g\end{aligned}[/tex].

[tex]\begin{aligned}v &= \sqrt{\frac{r\, \|T\|}{m} - r\, g} \\ &= \sqrt{\frac{(1.2)\, (130)}{2.5} - (1.2)\, (9.81)}\; {\rm m\cdot s^{-1}} \\ &\approx 7.2\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].

TO be completely Honest with this, Based of reading the questions and answers it may be D. just off sheer legibility of logic alone, Hope this is not wrong.

El signo negativo indica que el campo eléctrico apunta en la dirección opuesta a la fuerza experimentada por la carga. Por lo tanto, el campo eléctrico en ese punto es de -4 N/C.

F = qE

En este caso, la carga es de -5x10^-9 C y la fuerza es de 20x10^-9 N. Por lo tanto, podemos despejar el valor del campo eléctrico:

E = F/q = (20x10^-9 N) / (-5x10^-9 C) = -4 N/C

A charge is a fundamental property of matter that describes the amount of electric energy that a particle possesses. It is a scalar quantity, meaning it has only magnitude and no direction. The charge can be either positive or negative and is measured in Coulombs (C).

Charged particles can interact with each other through electromagnetic force, which is one of the four fundamental forces of nature. Like charges repel each other while opposite charges attract. Electric fields are generated by charged particles, and the force they exert on other charged particles is proportional to the magnitude of their charges.

A charge is conserved in isolated systems, meaning that the total amount of charge in a closed system cannot be created or destroyed, but can only be transferred from one object to another.

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The Guide provides estimated fuel economy (in miles per gallon, or MPG) and annual fuel costs (based on national averages of fuel costs and miles driven) for most model year 2022 vehicles for sale in the United States.

The simplest approach to determine your gas mileage is to divide the number of miles traveled by the number of gallons of petrol consumed by your car. In total, it is the number of miles travelled divided by the number of gallons of gas consumed.

Fuel economy is a rating that indicates how far a vehicle can go on a given quantity of gasoline. The higher the fuel efficiency, the less gasoline the vehicle consumes. The conventional metric of fuel efficiency in the United States is miles per gallon (mpg). This metric relates to how far a vehicle can go on a single gallon of fuel.

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I believe its A. Tuberculosis

The velocity of the skydiver that fell directly toward Earth at a constant velocity for 15.0 seconds is 127.38m/s.

The velocity of a skydiver that fell directly towards Earth can be calculated using one of the following equations of motion:

s = ut - ½at²

Where;

According to this question, a skydiver fell directly toward Earth at a constant velocity for 15.0 seconds.

807 = 15u - ½ × 9.81 × 15²

807 + 1103.625 = 15u

1910.625 = 15u

u = 127.38m/s

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Answer:

Explanation:

freely falling object

The displacement from the midpoint of the motion at which the speed is equal to half of the maximum speed is 1.85 cm.

v = Aω√(1 - (x/A)^2)

v_max = Aω

v = 1/2 v_max = 1/2 Aω

Substituting the given values, we get:

1/2 Aω = 3.08 cm * ω * √(1 - (x/A)^2)

Simplifying and squaring both sides, we get:

(1/4) A^2 ω^2 = 9.4864 cm^2 * (1 - (x/A)^2)

Solving for x/A, we get:

x/A = √(1 - (1/4)(ω^2/A^2) * 9.4864)

x/A = √(1 - (π^2/400))

x/A = 0.6

The displacement from the midpoint of the motion at which the speed is equal to half of the maximum speed is:

x = 0.6 * 3.08 cm = 1.85 cm

Harmonic motion is a type of periodic motion in which an object oscillates back and forth around an equilibrium position with a constant frequency and amplitude. It is characterized by a sinusoidal pattern, where the displacement of the object from its equilibrium position is directly proportional to the sine or cosine of the time elapsed since the motion began.

In harmonic motion, the restoring force acting on the object is proportional to its displacement from the equilibrium position, and the object's motion is governed by Hooke's Law. Examples of harmonic motion include the motion of a mass-spring system, the motion of a simple pendulum, and the vibration of a guitar string.

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A. The two new animal populations adapt gradually and separately to their new environments on either side of the mountain. This options explains how does the creation of a new mountain range in an ecosystem affect an animal population.

Explain the role of mountain range in an ecosystem?

When a new mountain range is created, it can act as a barrier that separates animal populations on either side. Over time, the two populations will adapt to their new environments, which may be different due to differences in climate, vegetation, or other factors.

As a result, the two populations may evolve independently of each other, leading to differences in behavior, appearance, and genetic makeup. This process is known as allopatric speciation. It is important to note that while the two populations may become distinct, they may still be able to interbreed if they come into contact again in the future.

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The electric potential at a point in space depends on the distance between that point and any charged objects in the vicinity.

If we assume that the point indicated by the dot in the figure is located at a distance r from a charged object with charge q, then the electric potential at that point can be calculated using the formula: V = k * q / r, where k is Coulomb's constant (8.99 x 10^9 N m²/C²). The units of electric potential are volts (V). To express the answer to two significant figures, we would need to know the values of q, r, and any other relevant parameters in the problem.

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Answer:

Option D is the most likely answer: element 119 will only remain stable for an extremely small fraction of a second.

This is because all elements with atomic numbers greater than 92 (i.e., the actinides) are unstable and undergo radioactive decay, with their isotopes having extremely short half-lives. As element 119 would have an atomic number greater than 92, it is highly likely that it too would be unstable and undergo radioactive decay, making it difficult to observe and study.

Option A is not possible, as all elements require neutrons in their nuclei to have stable isotopes. Option B is unlikely, as the properties of element 119 are unknown and it would need to be studied extensively before any industrial applications could be developed. Option C is also unlikely, as elements with large atomic numbers tend to have larger nuclei. Option E is also unlikely, as it is not clear how element 119 could be produced in the Sun, given that it is a highly unstable element.

Answer: D. Increase the density of the substance and there will be more particles to transfer the wave.

Answer:

D. INCREASE THE DENSITY OF THE SUBSTANCE AND THERE WILL BE MORE PARTICLES TO TRANSFER THE WAVE .

Explanation:

BECAUSE WAVES ARE TRANSFERED

Answer: 0.002

Explanation: