A plane flying at a speed of 59.1 m/s is dropping a package 521 m above the intended target. How long does it take for the package to hit the ground?
A.) 10.3 seconds
B.) 0.1 seconds
C.) 106.3 seconds
D.) 8.8 seconds

Answer:

Below

Explanation:

Kinetic Energy = 1/2 * m * v^2

                        = 1/2 * .45 * .2^2 = .009 J

Important Formulas:

\(KE=.5mv^2\)

Kinetic Energy(measured in joules) = .5 * mass(measured in kg) * velocity(measured in m/s)^2

__________________________________________________________

Given:

\(m=0.45kg\)

\(v=0.20m/s\)

\(KE=?\)

__________________________________________________________

\(KE=.5mv^2\)

\(KE=.5(0.45)(0.20)^2\)

__________________________________________________________

\(\fbox{KE = 0.009J}\)

Answer:

The factor missing in your friend's reasoning is the distance between the Earth and the Sun compared to the distance between the Earth and the Moon. While the Sun is more massive than the Moon, it is much farther away from Earth, which weakens its gravitational effect on tides.In response to your friend's error, you could explain that even though the Sun is more massive, its influence on tides is weaker than the Moon's due to the distance factor. The Moon's gravity pulls the water towards it, causing a bulge in the ocean that results in high tide, while the water on the opposite side of the Earth also experiences high tide due to the centrifugal force of the Earth-Moon system. The Sun's gravity also affects tides, but to a lesser extent, since it is much farther away from Earth. You could also mention that during the full or new moon, when the Moon, Sun, and Earth are aligned, the combined gravitational pull of the Sun and Moon produces the highest tides, known as spring tides.

The factor missing in your friend's reasoning is the distance between the Earth and the Moon, which has a significant impact on tidal dynamics. Although the Sun is more massive than the Moon, its distance from the Earth is much greater than the Moon's, and thus the gravitational force it exerts on the Earth is weaker than the Moon's.

The tides are caused by the gravitational forces between the Earth, the Moon, and the Sun. The Moon is closer to the Earth than the Sun, and therefore its gravitational force has a more significant effect on tides than the Sun. The Moon's gravitational force causes the tides to rise and fall in a regular pattern.

To address your friend's error, you could explain the concept of gravitational force and how it depends on both mass and distance. You could also mention that the Moon's proximity to the Earth is a crucial factor in tidal dynamics, and the Sun's gravitational force plays a secondary role in comparison.

In general, option c - warming it up on the stove - is often an effective method to increase the reaction rate.

Increasing the temperature of a reaction generally leads to faster reaction rates. This is because higher temperatures provide more thermal energy to the reactant particles, causing them to move faster and collide more frequently. The increased collision frequency and energy lead to more successful collisions and a higher likelihood of effective molecular interactions, which speeds up the reaction. On the other hand, options a and b - putting it in the fridge where it is cold or covering it with a blanket to make it dark - are unlikely to have a significant effect on the reaction rate. While temperature can influence reaction rates, cooling the reaction or making it dark typically reduces the kinetic energy of the particles, resulting in slower reaction rates. Option d - there is nothing you can do to change the speed of the reaction - is not accurate. The reaction rate can be influenced by various factors such as temperature, concentration, catalysts, and surface area, among others. By manipulating these factors, it is often possible to control and change the speed of a reaction. Hence option c, is correct

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Answer:

The latitude of where you are.

Explanation:

Even if day and night aren't exactly equal on the day of the equinox, there are days when sunlight hours and nighttime hours are both very close to 12 hours.

The statement that describes the transformation of the graph of function f onto the graph of function g is: The graph shifts 2 units right and 7 units down.

To determine the transformation of the graph of function f onto the graph of function g, we compare the two functions f(x) and g(x) and observe the changes in the equations.

The function f(x) = (1/x - 3) + 1 represents a reciprocal function that is shifted vertically 1 unit up and horizontally 3 units to the right. The reciprocal function is reflected about the line y = x.

The function g(x) = (1/(1 + 4)) + 3 simplifies to g(x) = 4 + 3 = 7, which is a constant function representing a horizontal line at y = 7.

By comparing the equations, we can see that the transformation from f(x) to g(x) involves the following changes:

The term 1/x in f(x) is replaced by the constant 1/(1 + 4) in g(x), resulting in a vertical shift of 7 units up.

The term -3 in f(x) is replaced by 3 in g(x), resulting in a vertical shift of 3 units up.

The +1 in f(x) is replaced by +3 in g(x), resulting in an additional vertical shift of 2 units up.

Therefore, the overall transformation is a shift of 2 units to the right and 7 units down.

Hence, the correct statement is: The graph shifts 2 units right and 7 units down.

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Answer:

The net force on the object is zero.

Explanation:

An object is moving with constant non-zero velocity. If velocity is constant, it means that the change in velocity is equal to 0. As a result, acceleration of the object is equal to 0. Net force is the product of mass and acceleration. Hence, the correct option is (d) "The net force on the object is zero".

The best graph to use if I want to compare the price of six different cars would be a bar graph

A bar graph is a graphical representation of the given data . It uses bars that extend to different heights to depict value .

Bar graphs are used to compare different type of things between different groups or to see changes over a period of time. Hence , bar graph will fits the best if one want to compare the price of six different cars .

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Answer a

Explanation: a

Answer:

Explanation:

Sure, I'd be happy to help you with the question!

Let's denote the input as x. According to the function machine, the input is multiplied by 6 and then 80 is subtracted from the result to obtain the output.

So, the function can be written as:

Output = (6 * x) - 80

Now, the problem states that the input is the same as the output. Therefore, we can set up the equation:

x = (6 * x) - 80

Let's solve this equation to find the value of x:

x = 6x - 80

Subtracting 6x from both sides, we get:

x - 6x = -80

Combining like terms, we have:

-5x = -80

Dividing both sides by -5, we find:

x = (-80) / (-5)

Simplifying the expression, we have:

x = 16

Therefore, the input (x) that results in the input being the same as the output is 16.

To work out these types of questions, it's important to carefully read the instructions and understand the operations being performed in the function machine. Then, you can set up an equation with the input and output, and solve for the unknown value. Always double-check your solution to ensure it satisfies the given conditions of the problem.

Answer:

16

Explanation:

(x*6) - 80 = x

Multiply the parentheses

6x - 80 = x
Add 80 to each side to get
6x = x + 80
Subtract x from both sides to get
5x = 80
Divide both sides by 5
x = 16

Answer:

Explanation:

The velocity of the car can be found by using the formula

\(v = \frac{d}{t} \\ \)

d is the distance

t is the time taken

From the question we have

\(v = \frac{600}{25} \\ \)

We have the final answer as

Hope this helps you

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

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.

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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The net force acting on the particle would be and the magnitude of the force would be -12.92i + 6.49j and the magnitude of the force would be 14.46 Newtons.

Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.

The net force on the particle = mass of the particle × acceleration

                                                =3.80*(−3.40i + 1.70j)

                                                = -12.92i + 6.49j

Thus, the magnitude of the net force on the particle would be 14.46 Newtons.

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Answer:

6.746 ft/s^2

Explanation:

v(t)=50

v(0)=27

t=5/3600 = 1/720 hours

v(t)-v(0)= a(t-0)

50-27= a(1/720)

a= 23*720= 16560 mi/h^2

16560mi/h^2 * 5280/3600^2 (ft/s^2) =6.746 ft/s^2

The acceleration required to increase the speed of a car from 27 mi/h to 50 mi/h in 5 seconds is 6.75 ft/s².

Acceleration is given by:

\( a =  \frac{\Delta v}{\Delta t} = \frac{v_{f} - v_{i}}{t_{f} - t_{i}} \)

Where:

\( v_{f} \): is the final speed of the car = 50 mi/h

\( v_{i}\): is the initial speed of the car = 27 mi/h

\( \Delta t\): is the change in time = 5 seconds

The constant acceleration required is:

\( a = \frac{v_{f} - v_{i}}{\Delta t} \)

\( a = \frac{50 \frac{mi}{h}*\frac{1 h}{3600 s}*\frac{5280 ft}{1 mi} - 27 \frac{mi}{h}*\frac{1 h}{3600 s}*\frac{5280 ft}{1 mi}}{5 s} \)

\( a = 6.75 ft/s^{2} \)  

Therefore, the constant acceleration required is 6.75 ft/s².

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Answer: burning and melting

Combustion (burning of molecules) is an exothermic oxidation-reduction reaction. When the combustion is intense, it results in a flame or an explosion (deflagration or detonation if the flame front exceeds the speed of sound).

This chemical reaction is a recombination of molecules. It goes through an intermediate step during which the molecules are "destructured" but not yet recombined; these are called radicals and are very reactive. In the case of combustion, the radicals are created by chemical bond breakage due to thermal energy, and they will be able to act on the molecules of the product (releasing other radicals) and thus generating a chain reaction that will continue as long as the following two conditions are met: presence of fuel and oxidizer.

Digestion is a food processing that is ingested into smaller particles that can or can not be assimilated by the body.

Explanation:

Answer:

a) A Helium nucleus with two protons and one neutron

b) 0.324 of the original amount

Explanation:

a) When Tritium decays, the nucleus emits an electron and an antineutrino, which then changes it from a Triton with one proton and two neutrons, to a Helium nucleus with two protons and one neutron.

The decay constant for the decay of Tritium is gotten from

\(t_{1/2}\) = 0.693/k

where

\(t_{1/2}\) is the half life = 12.3 yrs

k is the decay constant = ?

substituting, we have

12.3 = 0.693/k

k = 0.693/12.3 = 0.0563

The fraction that will remain after 20 years can be calculated from

\(N\) = \(N_{0} e^{-kt}\)

where

\(N\) is the final remaining amount of Tritium after 20 years

\(N_{0}\) is the original amount of Tritium

k is the decay constant = 0.0563

t is the time = 20 years

Equation can be re-written as

\(N/N_{0}\) = \(e^{-kt}\)

where

\(N/N_{0}\) is the fraction of the tritium that will be remaining after 20 years.

substituting values, we have

\(N/N_{0}\) = \(e^{-0.0563 * 20}\)

\(N/N_{0}\)  =  \(e^{-1.126}\)

\(N/N_{0}\) = 0.324 of the original amount

We obtain the magnitude of the acceleration as   1.55 m/s^2 while its component parallel to the ground is 0.775  m/s^2.

The acceleration refers to change of speed with time. From the question;

It the follows that;

v^2 = u^2 + 2as

And;

u = 0m/s  owing to the fact that motion started from rest

v^2 = 2as

a = v^2/2s

a = (10.43 m/s)^2/2 * 35.0 m

a = 1.55 m/s^2

For the acceleration component which is parallel to the ground;

ax = a sin θ

ax =  1.55 m/s^2 cos 60

ax = 0.775  m/s^2

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The equivalent capacitance of this combination is 9.375 μF, or 9.375 × 10⁻⁶ F in scientific notation.

What is capacitor ?

A capacitor is an electronic component that stores electrical energy in an electric field. It consists of two conductive plates separated by a non-conductive material, called a dielectric. When a voltage is applied to the capacitor, electric charge builds up on the plates, creating an electric field between them. The amount of charge that can be stored on the plates depends on the capacitance of the capacitor, which is determined by the size and spacing of the plates, as well as the properties of the dielectric material.

When capacitors are in series, their effective capacitance is given by:

1/C_series = 1/C_1 + 1/C_2 + ...

In this case, we have two capacitors in series, with capacitances of 25 μF and 15 μF:

1/C_series = 1/25μF + 1/15μF

1/C_series = (15 + 25)/(1525μF²)

1/C_series = 40/(375*μF²)

C_series = 375*μF²/40

C_series = 9.375 μF

Therefore, the equivalent capacitance of this combination is 9.375 μF, or 9.375 × 10⁻⁶ F in scientific notation.

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Answer:

160m/s

Explanation:

The speed of a wave is related to its frequency and wavelength, according to this equation:

v=f ×λ

Complete Question

The diagram for this question is showed on the first uploaded image (reference homework solutions )

Answer:

The  velocity at the bottom is  \(v = 11.76 \ m/ s\)

Explanation:

From the question we are told that

   The  total distance traveled is  \(d = 1.2 \ m\)

    The mass of the block is  \(m_b = 0.3 \ kg\)

      The  height of the block from the ground is h =  0.60 m  

According the law of  energy  

   \(PE = KE\)

Where  PE  is the potential energy which is mathematically represented as

      \(PE = m * g * h\)

substituting values

     \(PE = 3 * 9.8 * 0.60\)

      \(PE = 17.64 \ J\)

So

   KE  is the kinetic energy at the bottom which is mathematically represented as

          \(KE = \frac{1}{2} * m v^2\)

So

      \(\frac{1}{2} * m* v ^2 = PE\)

substituting values  

  =>    \(\frac{1}{2} * 3 * v ^2 = 17.64\)

=>       \(v = \sqrt{ \frac{ 17.64}{ 0.5 * 3 } }\)

=>    \(v = 11.76 \ m/ s\)

With the use of echo formula, the length of the barn is 24.75 m

An echo is a sound heard after the reflection of sound waves from a plane surface. It is simply the reflection of sound waves.

Suppose you hear an echo 0.15 seconds after banging.

Then,

V = 2L/T

330 = 2L/0.15

2L = 330 × 0.15

2L = 49.5

L = 49.5/2

L = 24.75 m

Therefore, the barn is 24.75 m long.

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Hello and Good Morning/Afternoon:

What makes a unit a fundamental SI unit:

Thus the seven fundamental S.I. units are:

Hope that helps!

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(a) The circuit diagram is in the image attached.

(b) The current flowing through the resistor is 0.003 A.

(c) The power dissipated by the resistor is  0.135 W.

(b) The current flowing through the resistor is calculated by applying Ohm's law as follows;

V = IR

I = V/R

where;

I = 45 V / 15,000Ω

I = 0.003 A

(c) The power dissipated by the resistor is calculated as follows;

P = IV

where;

P = 0.003 x 45 V

P = 0.135 W

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When two wave superposed in same phase,  constructive interference is formed.

According to the definition of interference, it is the phenomenon in which two or more waves combine to create a new wave that has a bigger, smaller, or the same amplitude.

The resulting sound wave is created by adding the amplitudes of two sound waves that are travelling in the same direction and in phase with one another. In this instance, it is claimed that the sound waves experienced constructive interference. The waves experience upward displacement when they encounter constructive interference.

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The object of interest for this situation is the piano. The forces acting on the piano are: (1) gravitational force acting on the piano (piano's weight). (2) force of the floor on the piano (normal force). (3) force of Chadwick on the piano

In this situation, the object of interest is the piano. The forces acting on the piano are the gravitational force (weight) pulling the piano down, the normal force of the floor pushing up on the piano, and the force of Chadwick pushing on the piano to move it up the ramp. Since the ramp is frictionless, the only force acting to stop the piano from sliding back down the ramp is the normal force of the floor, which is perpendicular to the ramp surface. Therefore, Chadwick must push the piano with a force greater than its weight to overcome gravity and move it up the ramp.

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Complete question:

Chadwick now needs to push the piano up a ramp and into a moving van. The ramp is frictionless. Is Chadwick strong enough to push the piano up the ramp alone or must he get help? To solve this problem you should start by drawing a free-body diagram.

Determine the object of interest for this situation.

Identify the forces acting on the object of interest. From the list below, select the forces that act on the piano.

(1) gravitational force acting on the piano (piano's weight)

(2) force of the floor on the piano (normal force)

(3) force of Chadwick on the piano

Answer:

Explanation:

For discharge of capacitor in RC circuit , the relation is as follows

\(V=V_0e^\frac{-t}{\lambda}\)

V is voltage across the capacitor , V₀ is maximum  voltage across capacitor  , λ is time constant and t is the time after which the voltage is recorded. During discharge this will also be voltage across resistance .

Taking log on both sides

lnV = lnV₀   -  \(\frac{t}{\lambda}\)

Given equation

[lnV] = - .027 t + 2.5

Comparing these equation

\(\frac{1}{\lambda} = .027\)

λ = 37 s

time constant = 37 sec.

Answer: expansion

Explanation: yw