A man gets mad at his messed up computer and tosses it out of a 50 m high window. What is the velocity of the computer as it hits the ground?​

Answer:

C. both a speed and a direction

Answer:

PART A: Maximum speed = 0.314 m/s

PART B: Maximum acceleration = 1.23 m/s²

Explanation:

A simple Harmonic motion is a repetitive motion through an equilibrium point.

Amplitude = 8.0cm = 8/100 = 0.08m (highest displacement)

period (T) = 0.80s

A) maximum speed \((V_{max)\)

\(V_{max} = 2\pi fA\\where:\\A = Amplitude = 0.08m\\f = frequency = \frac{1}{period(T)} = \frac{1}{0.8} = 1.25 Hz\\\therefore 2\pi fA = 2\pi \times 1.25 \times 0.08\\= 0.314\ m/s\)

B) maximum acceleration \((a_{max})\)

\(a_{max} = (2\pi f)^2A\\where:\\f = 1.25Hz\\A = 0.08m\\a_{max} = (2\pi \times 1.25)^2 \times 0.08\\= 1.23\ m/s^2\)

Answer:

1) a substance made by mixing other substances together.

2) diverse in character or content.

3) of the same kind; alike.

4) a means of solving a problem or dealing with a difficult situation.

5) a homogeneous noncrystalline substance consisting of large molecules or ultramicroscopic particles of one substance dispersed through a second substance. Colloids include gels, sols, and emulsions; the particles do not settle, and cannot be separated out by ordinary filtering or centrifuging like those in a suspension.

Explanation:

ya

Answer:

Refer to the step-by-step Explanation.

Step-by-step Explanation:

Simplify the equation with given substitutions,

Given Equation:

\(mgh+(1/2)mv^2+(1/2)I \omega^2=(1/2)mv_{_{0}}^2+(1/2)I \omega_{_{0}}^2\)

Given Substitutions:

\(\omega=v/R\\\\ \omega_{_{0}}=v_{_{0}}/R\\\\\ I=(2/5)mR^2\)\(\hrulefill\)

Start by substituting in the appropriate values: \(mgh+(1/2)mv^2+(1/2)I \omega^2=(1/2)mv_{_{0}}^2+(1/2)I \omega_{_{0}}^2 \\\\\\\\\Longrightarrow mgh+(1/2)mv^2+(1/2)\bold{[(2/5)mR^2]} \bold{[v/R]}^2=(1/2)mv_{_{0}}^2+(1/2)\bold{[(2/5)mR^2]}\bold{[v_{_{0}}/R]}^2\)

Adjusting the equation so it easier to work with.\(\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{2} \Big[\dfrac{2}{5} mR^2\Big]\Big[\dfrac{v}{R} \Big]^2=\dfrac12mv_{_{0}}^2+\dfrac12\Big[\dfrac25mR^2\Big]\Big[\dfrac{v_{_{0}}}{R}\Big]^2\)

\(\hrulefill\)

Simplifying the left-hand side of the equation:

\(mgh+\dfrac{1}{2} mv^2+\dfrac{1}{2} \Big[\dfrac{2}{5} mR^2\Big]\Big[\dfrac{v}{R} \Big]^2\)

Simplifying the third term.

\(\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{2} \Big[\dfrac{2}{5} mR^2\Big]\Big[\dfrac{v}{R} \Big]^2\\\\\\\\\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{2}\cdot \dfrac{2}{5} \Big[mR^2\Big]\Big[\dfrac{v}{R} \Big]^2\\\\\\\\\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5} \Big[mR^2\Big]\Big[\dfrac{v}{R} \Big]^2\)

\(\\ \boxed{\left\begin{array}{ccc}\text{\Underline{Power of a Fraction Rule:}}\\\\\Big(\dfrac{a}{b}\Big)^2=\dfrac{a^2}{b^2} \end{array}\right }\)

\(\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5} \Big[mR^2\Big]\Big[\dfrac{v^2}{R^2} \Big]\\\\\\\\\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5} \Big[mR^2 \cdot\dfrac{v^2}{R^2} \Big]\)

"R²'s" cancel, we are left with:

\(\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5} \Big[mR^2\Big]\Big[\dfrac{v^2}{R^2} \Big]\\\\\\\\\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5}mv^2\)

We have like terms, combine them.

\(\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5} \Big[mR^2\Big]\Big[\dfrac{v^2}{R^2} \Big]\\\\\\\\\Longrightarrow mgh+\dfrac{7}{10} mv^2\)

Each term has an "m" in common, factor it out.

\(\Longrightarrow m(gh+\dfrac{7}{10}v^2)\)

Now we have the following equation:

\(\Longrightarrow m(gh+\dfrac{7}{10}v^2)=\dfrac12mv_{_{0}}^2+\dfrac12\Big[\dfrac25mR^2\Big]\Big[\dfrac{v_{_{0}}}{R}\Big]^2\)

\(\hrulefill\)

Simplifying the right-hand side of the equation:

\(\Longrightarrow \dfrac12mv_{_{0}}^2+\dfrac12\cdot\dfrac25\Big[mR^2\Big]\Big[\dfrac{v_{_{0}}}{R}\Big]^2\\\\\\\\\Longrightarrow \dfrac12mv_{_{0}}^2+\dfrac15\Big[mR^2\Big]\Big[\dfrac{v_{_{0}}}{R}\Big]^2\\\\\\\\\Longrightarrow \dfrac12mv_{_{0}}^2+\dfrac15\Big[mR^2\Big]\Big[\dfrac{v_{_{0}}^2}{R^2}\Big]\\\\\\\\\Longrightarrow \dfrac12mv_{_{0}}^2+\dfrac15\Big[mR^2\cdot\dfrac{v_{_{0}}^2}{R^2}\Big]\\\\\\\\\Longrightarrow \dfrac12mv_{_{0}}^2+\dfrac15mv_{_{0}}^2\Big\\\\\\\\\)

\(\Longrightarrow \dfrac{7}{10}mv_{_{0}}^2\)

Now we have the equation:

\(\Longrightarrow m(gh+\dfrac{7}{10}v^2)=\dfrac{7}{10}mv_{_{0}}^2\)

\(\hrulefill\)

Now solving the equation for the variable "v":

\(m(gh+\dfrac{7}{10}v^2)=\dfrac{7}{10}mv_{_{0}}^2\)

Dividing each side by "m," this will cancel the "m" variable on each side.

\(\Longrightarrow gh+\dfrac{7}{10}v^2=\dfrac{7}{10}v_{_{0}}^2\)

Subtract the term "gh" from either side of the equation.

\(\Longrightarrow \dfrac{7}{10}v^2=\dfrac{7}{10}v_{_{0}}^2-gh\)

Multiply each side of the equation by "10/7."

\(\Longrightarrow v^2=\dfrac{10}{7}\cdot\dfrac{7}{10}v_{_{0}}^2-\dfrac{10}{7}gh\\\\\\\\\Longrightarrow v^2=v_{_{0}}^2-\dfrac{10}{7}gh\)

Now squaring both sides.

\(\Longrightarrow \boxed{\boxed{v=\sqrt{v_{_{0}}^2-\dfrac{10}{7}gh}}}\)

Thus, the simplified equation above matches the simplified equation that was given.  

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

To learn more about acceleration and velocity, visit: https://brainly.com/question/23215134

#SPJ9

Explanation:

For electromagnetic waves    c = wavelength * frequency

 c = speed of light = 3 x 10^8 m/ s

                                    3 x 10^8 m/s = wl * 33 x 10^9  Hz

                                        wl = .009 m      ( or  9 mm)

If a radar signal that has a frequency of 33 GHz, Then the wavelength of the radar signal is  9 mm.

Wavelength is a fundamental concept in the study of waves, which are disturbances that propagate through space or a medium. It is defined as the distance between two consecutive points in a wave that are in phase, meaning that they have the same position in their respective cycles.

In other words, the wavelength is the spatial period of a wave, which is the distance over which the wave repeats itself. It is commonly represented by the Greek letter lambda (λ) and is measured in meters (m), although it can also be expressed in other units such as nanometers (nm) or micrometers (μm).

Wavelength is a key property of waves, as it determines many of their characteristics and behavior. For example, the wavelength of an electromagnetic wave (such as light or radio waves) determines its color or frequency, and thus its energy and ability to interact with matter. Similarly, the wavelength of a sound wave determines its pitch, and thus its perceived tone and musical quality.

The relationship between wavelength, frequency, and velocity is described by the wave equation, which states that the velocity of a wave is equal to the product of its wavelength and frequency. This relationship is important for understanding how waves behave and interact with their environment, such as when they are reflected, refracted, or diffracted.

So, the wavelength is a crucial concept in the study of waves, as it defines their properties and behavior. It is the distance between two consecutive points in a wave that are in phase, and is measured in meters or other units. The relationship between wavelength, frequency, and velocity is described by the wave equation, which is fundamental to the study of waves in various fields such as physics, engineering, and communication.

Here in the Question,

The wavelength of a radar signal can be calculated using the formula:

wavelength = speed of light/frequency

where the speed of light is approximately 3 x 10^8 meters per second.

Plugging in the given frequency of 33 GHz (33 x 10^9 Hz), we get:

wavelength = 3 x 10^8 / (33 x 10^9)

wavelength = 0.009090909... meters

Therefore, By rounding to the nearest millimeter, the wavelength of the radar signal is approximately 9 mm.

To learn more about Frequency click:

brainly.com/question/1292129

#SPJ2

Answer:

Speed: 3, 4, 5, 6. Distance: 1, 2, 3, 4, 5

Answer:

Speed: 3, 4, 5, 6. Distance: 1, 2, 3, 4, 5

Explanation:

It is useful to use a model in order to demonstrate how an electric circuit works.

In science, a model is a graphical representation that my result useful to predict the behavior of the components of a given system that works together to produce a particular outcome.

For example, an electrical circuit can be modeled by taking into account resistance, voltage, and intensity as parameters of functioning.

The electrical circuits are graphically represented by modeling the movement or flow of negatively charged electrons (e-) from the negative pole to the positive pole of a closed electric circuit.

In conclusion, it is useful to use a model (ie., a scientific model) to demonstrate how an electric circuit works.

Learn more about scientific models here:

https://brainly.com/question/13134745

#SPJ1

Answer:

The very small particles that make up matter are I) Atoms

Matter - Anything that have mass and occupies space is called matter . it is made up of atoms and molecules

Atoms - The smallest part of matter is called atom.

Molecule - Group of atoms combine together to form a molecule.

3. Fulcrum left

Explanation:

That's a great question !

The answer is: It does !

A push on an object causes the object to accelerate in the direction of the force.  

The less mass the object has, the more the force accelerates it.

Now, when you jump, the forces on you and on the Earth are equal forces.

The up force on you causes you to accelerate up by some amount.

The down force on the Earth causes the Earth to accelerate down by some amount.

The Earth's mass is something like 5,972,000,000,000,000,000,000,000 kg, while your mass is something like 50 kg.

The Earth has something like 119,400,000,000,000,000,000,000 times as much mass as you have.

So your acceleration is something like 119,400,000,000,000,000,000,000 times as great as the Earth's acceleration.

==> The Earth's downward acceleration, caused by your jump, is there.  It's just too small to notice.

BUT . . . That's the reason why seismometers (instruments to detect and measure the vibrations from distant earthquakes) have to be located as far as possible from cities and busy roads.

In places that are too close to cities and roads, the Earth's surface is always vibrating, wiggling, jiggling, heaving and weaving, in reaction to the forces of people walking around, cars and trucks driving around, even rain falling down.  And kids jumping up and down !  

In such places, these people-motions are louder and stronger than the vibrations coming from distant earthquakes.  Seismometers wouldn't work there.    

A  0.32 kg toy mouse was on a couch that is 0.35 m high, a car picks up the mouse and puts it in a nearby bookcase that is 2.85 m high, and the car did 7.84 J of work.

The work done by the car is calculated by ΔPE = mgh ,

(here the m=mass(0.32 kg)

g = acceleration(9.8 \(m/s^2\))

h= change in height  (2.85 m - 0.35 m = 2.50 m)

ΔPE = 0.32 kg x 9.8 \(m/s^2\) x 2.50 m = 7.84 J

Hence, a 0.32 kg toy mouse was on a couch that is 0.35 m high, a car picks up the mouse and puts it in a nearby bookcase that is 2.85 m high, and the car did 7.84 J of work.

Learn more about the work done here.

https://brainly.com/question/13662169

#SPJ9

The speed of the truck just before braking is 23.24 m/s.

The speed of the truck before braking is calculated by applying the third kinematic equation as shown below.

v² = u² - 2as

where;

When the truck stops, the final velocity = 0

0 = u² - 2as

u²  = 2as

u = √2as

u = √ ( 2 x 6 x 45 )

u = 23.24 m/s

Learn more about initial speed here: https://brainly.com/question/24493758

#SPJ1

A projectile is fired at an upward angle and the speed of the object when it strikes the ground below will be 434.5 m/s.

A projectile is an object or particle that is thrown toward the surface of the Earth and moves along a curved route only under the influence of gravity. Galileo demonstrated that this curving path was a parabola, but in the unique situation where it is hurled straight up, it may also be a straight line.

According to the question,

\(h=v_0_yt+1/2gt^2\)

-155 m = (165 × sin 55°)t - 0.5(9.8)t²

-155 = 135.16t - 4.9 t²

4.9 t² - 135.16t - 155 = 0

t = 27.5 seconds.

Now, the speed of the object when it strikes the ground will be,

\(v_f=v_i+gt\)

= 165 + (9.8)(27.5)

\(v_f\) = 434.5 m/s.

To get more information about Projectile :

https://brainly.com/question/11422992

#SPJ1

Answer:

The pressure near the surface of the pool will be less as compared that the bottom of the pool as water has weight. This is in relation to gravity

Explanation:

Answer:

the answer is false.

Explanation:

i took the test and it is false trust me!!!!!!!!!

hydroelectric dam converts the potential energy stored in a water reservoir behind a dam to mechanical energy—mechanical energy is also known as kinetic energy. ... The generator converts the turbine's mechanical energy into electricity.

Hope this helps!

Answer:

Potential energy and kinetic energy are constituents of mechanical energy.

When a turbine is switched on, it rotates with mechanical energy.

Since a motor runs the turbine, it converts this mechanical energy to electrical energy.

Answer:

It is an instrument which increases the amount of force available to a single hypothetical person.

Examples;

Levers, pulleys are force magnifiers.

Answer:

Q = 189000 [J]

Explanation:

The internal energy or heat can be calculated by means of the following expression.

\(Q=m*c_{p}*DT\)

where:

Q = internal energy or heat [J]

m = mass = 15 [kg]

Cp = 840 [J/kg*°C]

DT = temperature change = 15 [°C]

\(Q = 15*840*15\\Q = 189000 [J]\)

Answer:

Less than the distance

The percent difference between the two values of Lv is 0.75%, the accuracy of the first trial is 0.38%, and the accuracy of the second trial is 1.13%.

What is latent heat of vaporization?

Latent heat of vaporization is the amount of heat required to convert a unit mass of a substance from a liquid state to a gaseous state at a constant temperature and pressure. It is the energy needed to break the intermolecular bonds between molecules in a liquid to allow them to become a gas. The latent heat of vaporization is specific to each substance and is usually expressed in units of joules per kilogram (J/kg) or calories per gram (cal/g).

To find the percent difference between the two values of Lv, we can use the formula:

percent difference = |(value 1 - value 2) / ((value 1 + value 2) / 2)| x 100%

Substituting the values given, we get:

percent difference = |(532 - 536) / ((532 + 536) / 2)| x 100%

percent difference = |-4 / 534| x 100%

percent difference = 0.75%

To find the accuracy or percent error of the two values, we can use the formula:

percent error = |(experimental value - accepted value) / accepted value| x 100%

Substituting the values given, we get:

For the first trial:

percent error = |(532 - 530) / 530| x 100%

percent error = 0.38%

For the second trial:

percent error = |(536 - 530) / 530| x 100%

percent error = 1.13%

Therefore, the percent difference between the two values of Lv is 0.75%, the accuracy of the first trial is 0.38%, and the accuracy of the second trial is 1.13%.

To learn more about latent heat of vaporization:

https://brainly.com/question/12760196

#SPJ1

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.

For more such questions on graph, click on:

https://brainly.com/question/26865

#SPJ8

Answer:

When the currents are doubled and the wire separation tripled, the force per unit length becomes 4/3 of the initial force per unit length.

Explanation:

Since the two wires carry the same current, the force F of repulsion per unit length is given by:

\( \frac{F}{l} = \frac{I^{2}B\mu_{0}}{2\pi h} \)    

Where:

I: is the current

B: is the magnetic field

l: is the wire's length

h: is the separation between the wires

μ₀: is the permeability constant  

When the two parallel long wires carry the same current and repel each other with a force F per unit length we have:

\( \frac{F_{1}}{l} = \frac{I^{2}B\mu_{0}}{2\pi h} \)

And when the currents are doubled and the wire separation tripled, the force per unit length becomes:

\( \frac{F_{2}}{l} = \frac{(2I)^{2}B\mu_{0}}{2\pi (3h)} \)

\( \frac{F_{2}}{l} = \frac{4I^{2}B\mu_{0}}{2\pi (3h)} \)  

\(\frac{F_{2}}{l} = \frac{4}{3}\frac{I^{2}B\mu_{0}}{2\pi h} = \frac{4}{3}\frac{F_{1}}{l}\)  

Therefore, when the currents are doubled and the wire separation tripled, the force per unit length becomes 4/3 of the initial force per unit length.

I hope it helps you!                                                                            

Answer:

A.

Explanation: both triple by 3

Answer: B

Explanation: It is because the formula for this eq is KE=V^2. In the eq, it says that the mass is triple meaning the KE also must have tripled. For the speed, since it has a formula then you just have 3^2 which is 9.

Answer:

The answer is c

Explanation: