How much work must you do to stretch the spring 0.030 m ? and how much work must you do to compress it 0.030m ?

How Much Work Must You Do To Stretch The Spring 0.030 M ? And How Much Work Must You Do To Compress It

Answers

Answer 1

Given:

The force constant of spring is

[tex]k\text{ =2.5}\times10^4\text{ N/m}[/tex]

To find the work done when spring is stretched to 0.03 m and work done when compressed to 0.03 m.

Explanation:

The work done to stretch the spring will be

[tex]\begin{gathered} W\text{ =}\frac{1}{2}kx^2 \\ =\frac{1}{2}\times2.5\times10^4\times(0.03)^2 \\ =\text{ 11.25 J} \end{gathered}[/tex]

The work done to compress the spring will be

[tex]\begin{gathered} W\text{ =-}\frac{1}{2}kx^2 \\ =-\frac{1}{2}\times2.5\times10^4\times(0.03)^2 \\ =-11.25\text{ J} \end{gathered}[/tex]


Related Questions

what is the wavelength of 2.6 million Hz ultrasound as it travels through human tissue ?

Answers

The wavelength of ultrasound waves can be given as,

[tex]\lambda=\frac{v}{f}[/tex]

The speed of waves in human tissue is 1540 m/s.

Plug in the known values,

[tex]\begin{gathered} \lambda=\frac{1540\text{ m/s}}{(2.6\text{ million Hz)(}\frac{10^6}{1\text{ million}})}(\frac{10^3\text{ mm}}{1\text{ m}}) \\ =0.592\text{ mm} \end{gathered}[/tex]

Thus, the wavelength of waves in human tissue is 0.592 m.

Prove that the area of the parallelogram is equal to | A × B |

Answers

The area of a paralellogram with base a and height h is given by:

[tex]A=h\cdot a[/tex]

If two adjacent sides of a parallelogram have lengths a and b and are separated by an angle φ, then the base of the parallelogram is a and the height is given by b*sin(φ). Then, the area of the parallelogram is given by:

[tex]A=a\cdot b\cdot\sin (\phi)[/tex]

On the other hand, the cross product of two vectors is defined as:

[tex]\vec{a}\times\vec{b}=a\cdot b\cdot\sin (\phi)\hat{n}[/tex]

Where the unitary vector is directed toward the direction perpendicular to a and b according to the right hand rule.

The modulus of the cross product of a and b is:

[tex]|\vec{a}\times\vec{b}|=a\cdot b\cdot\sin (\phi)[/tex]

We can see that both the area of the parallelogram and the modulus of the cross product have the same expressions. Therefore:

[tex]A=|\vec{a}\times\vec{b}|[/tex]

An ox exerts a forwards force of 7100 N. If the ox has a weight of 8000 N, what is the minimum coefficient of static friction? (HINT: if there was no static friction the ox would slip and not move forward, what friction is required to allow the ox to move without slipping)

Answers

Given data

*An ox exerts a forwards force is F = 7100 N

*An ox has weight is N = 8000 N

The formula for the minimum coefficient of static friction is given as

[tex]\begin{gathered} F=\mu_sN \\ \mu_s=\frac{F}{N} \end{gathered}[/tex]

Substitute the known values in the above expression as

[tex]\begin{gathered} \mu_s=\frac{7100}{8000} \\ =0.887 \end{gathered}[/tex]

Hence, the minimum coefficient of static friction is 0.887

What causes water to freeze solid when placed in a freezer? Takes heat away from the waterAdds heat to the waterPuts electricity in the waterDoes not let light shine on the water

Answers

Takes heat away from the water.

Water freezes solid when placed in a freezer.

If heat is added water melts.

Electricity in the water doesn't freeze it.

Light doesn't freeze water.

So, the correct answer is:

Takes heat away from the water

An astronaut, of mass 95.0 kg, sits on a newton scale as the shuttle takes off. The newton scale reads 5500 N. What is the acceleration of the shuttle?

Answers

Given data:

* The mass of the astronaut is m = 95 kg.

* The force read by the Newton scale when the shuttle takes off is F = 5500 N.

Solution:

According to Newton's second law, the force on the astronaut in terms of the acceleration and mass is,

[tex]\begin{gathered} F=\text{ma} \\ a=\frac{F}{m} \end{gathered}[/tex]

Substituting the known values,

[tex]\begin{gathered} a=\frac{5500}{95} \\ a=57.9ms^{-2} \\ a\approx58ms^{-2} \end{gathered}[/tex]

The shuttle and the astronaut are moving with the same acceleration.

Thus, the acceleration of the shuttle is 58 meters per second squared.

Compare the power of one motorcylce that travels twice as fast as a second indetical motorcycle.A.Same amount of powerB.Twice the powerC.4 times the powerD.Half the power

Answers

Given:

The power of one motorcycle travels twice as fast as a second motorcycle.

To compare the power of motorcycles.

Explanation:

Let the speed of one motorcycle be v.

The speed of the second motorcycle will be 2v.

Power is calculated by the formula

[tex]P=\text{ Force}\times velocity[/tex]

The power of the first motorcycle will be

[tex]P_1=Fv_1[/tex]

The power of the second motorcycle will be

[tex]\begin{gathered} P_2=Fv_2 \\ =F\times2v_1 \\ =2Fv_1 \\ =2P_1 \end{gathered}[/tex]

Thus, the power of the second motorcycle is twice the power of the first motorcycle.

Derive the equation S=ut+½at²

Answers

Average velocity = (initial velocity + final velocity )/ 2

AVG v = (u+v)/2

Also,

Distance = avg v x time

s= ([u+v]/2) x t

s= distance travelled by a body in time t

u= initial velocity

a= acceleration

From the equation of motion:

v= u +at

Replacing

s= ( [u+u+at]/2)xt

s= [( 2u+ 2at ( x t ]/2

s= (2ut+at^2)/2

s= ut+1/2at^2

URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!!

Answers

Answer:

A. the speed of the object

Explanation:

The color wouldn't make any difference to the potential energy and knowing the mass the way the object is shaped or the height of it would make no difference

State briefly rules of drawing vector on coordinate systems

Answers

In order to draw a vector in the coordinate system, we can follow these steps:

1. Draw the initial point of the vector.

2. Draw the end point of the vector.

3. Create an arrow starting at the initial point and ending at the end point.

For example, let's use a vector that starts at (0, 0) and ends at (3, 4):

A block having a mass of m = 19.5 kg is suspended via two cables as shown in the figure. The angles shown in the figure are as follows: a = 15° and B = 35°. We will label the tension in Cable 1 as T1, and the tension in Cable 2 as T2. Solve for T1 and T2

Answers

We will have the next diagram

Then we can sum the forces in x and sum the forces in y

Forces in x

[tex]\sum ^{}_{}F_x=-T_1\sin (\alpha)+T_2\cos (\beta)=0[/tex][tex]\sum ^{}_{}F_x=-T_1\sin (15)+T_2\cos (35)=0[/tex]

Forces in y

[tex]\sum ^{}_{}F_y=T_1\cos (\alpha)+T_2\sin (\beta)=mg[/tex][tex]\sum ^{}_{}F_y=T_1\cos (15)+T_2\sin (35)=19.5(9.8)[/tex]

We simplify the equations found and we found the next system of equation

[tex]\begin{gathered} -T_1\sin (15)+T_2\cos (35)=0 \\ T_1\cos (15)+T_2\sin (35)=191.1 \end{gathered}[/tex]

then we isolate the T2 of the first equation

[tex]T_2=\frac{T_1\sin(15)}{\cos(35)}[/tex]

We substitute the equation above in the second equation

[tex]T_1\cos (15)+(\frac{T_1\sin(15)}{\cos(35)})\sin (35)=191.1[/tex]

we simplify

[tex]T_1(\cos (15)+\frac{\sin (15)\sin (35)}{\cos (35)})=191.1[/tex][tex]T_1(1.147)=191.1[/tex]

We isolate the T1

[tex]T_1=\frac{191.1}{1.147^{}}=166.6N[/tex]

then we can substitute the value we found in T1 in the euation with T2 isolate

[tex]T_2=\frac{(166.6)_{}\sin (15)}{\cos (35)}=52.54N[/tex]

Question: imagine the decay of a very unusual particle that has a charge of Q = +24e. If it decays into 12 particles, 3 of which have electrical charges of +2e each, what is the collective charge of the other 9 particles?

Answers

According to the law of charge conservation,

The net charge of the system before and after the decay should remain constant.

As the charge before the decay is +24e.

Thus, the net charge after the decay should be +24e.

Given that, the charge on 3 particles out of 12 is +2e each.

Thus, collective charge of the other 9 particles is,

[tex]\begin{gathered} q=Q-3(+2e) \\ q=24e-6e \\ q=+18e \end{gathered}[/tex]

Thus, the collective charge on the other 9 particles is +18e.

How long will it take a sample of Polonium- 194 to decay to 1/16 of its original amount the half -life of 0.7 seconds

Answers

The time it takes the Polonium-194 to decay to 1/16 of its original amount  is 2.8 seconds.

What is half-life?

half-life, in radioactivity, the interval of time required for one-half of the atomic nuclei of a radioactive sample to decay

To calculate the time it takes the sample of Polonium-196 to decay to 1/16 of its original amount, we use the formula below

Formula:

[tex]2^{n/t}[/tex] = R/R'......... Equation 1

Where:

n = Total number of time it takes Polonium-194 to decay to 1/16 of its original amountt = Half-life of Polonium-194R = Original amount of Polonium-194R' = Amount of Polonium-194 after decay

From the question,

Given:

R = 1R = 1/16t = 0.7

Substitute these values into equation 1 and solve for n

[tex]2^{n/0.7}[/tex]= 1/(1/16)[tex]2^{n/0.7}[/tex] = 16[tex]2^{n/0.7}[/tex] = 2⁴

Equating the base,

n/0.7 = 4n = 0.7×4n = 2.8 seconds.

Hence, the time it takes the Polonium-194 to decay is 2.8 seconds.

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this is a 3 part questionplease see picture for part A73) The human brain consumes about 22 W of power under normal conditions, though more power may be required during exams.(a) For what amount of time can one Snickers bar (see the note following Problem 48) power the normally functioning brain(one bar provides 280 calories)? (b) At what rate must you lift a 3.6-kg container of milk (one gallon) if the power output of your arm is to be 22 W? (C) How much time does it take to lift the milk container through a distance of 1.0 m at this rate?

Answers

Given,

The power consumed by a brain, P=22 W

The energy per bar, E=280 calories=280×4184=1171.52 kJ

The mass of a milk container, m=3.6 kg

The power output of the arm, P₀=22 W

The distance through which the container needs to be lifted, d=1.0 m

a)

The power is given by,

[tex]P=\frac{E}{t}[/tex]

Where t is the time.

On substituting the known values in the above equation,

[tex]\begin{gathered} 22=\frac{1171.52\times10^3}{t} \\ \Rightarrow t=\frac{1171.52\times10^3}{22} \\ =53250\text{ s} \end{gathered}[/tex]

That is,

[tex]\frac{53250}{3600}=14.79\text{ hr}[/tex]

Therefore one snicker bar can power the brain for 14.79 hr

b)

The power output can also be calculated using the formula,

[tex]\begin{gathered} P=F\times v \\ =mg\times v \end{gathered}[/tex]

Where F is the force applied by the container on the arm, v is the rate at which the container must be lifted, and g is the acceleration due to gravity.

On substituting the known values,

[tex]\begin{gathered} 22=3.6\times9.8\times v \\ v=\frac{22}{3.6\times9.8} \\ =0.62\text{ m/s} \end{gathered}[/tex]

Thus the rate at which the milk container must be lifted is 0.62 m/s

c)

The rate at which the container must be lifted is given by,

[tex]v=\frac{d}{t}[/tex]

Where t is the time it takes to lift the container at the calculated rate.

On substituting the known values,

[tex]\begin{gathered} 0.62=\frac{1}{t} \\ \Rightarrow t=\frac{1}{0.62} \\ =1.61\text{ s} \end{gathered}[/tex]

Thus it takes 1.61 s to lift the container through 1 m at the given rate.

A truck covers 40.0 m in 9.45 s while uniformly slowing down to a final velocity of 2.10 m/s.(a) Find the truck's original speed._____ m/s(b) Find its acceleration._____ m/s2

Answers

(a)

In order to find the original speed, let's use the formula below to find an expression for the acceleration:

[tex]\begin{gathered} V=V_0+a\cdot t\\ \\ 2.1=V_0+a\cdot9.45\\ \\ a=\frac{2.1-V_0}{9.45} \end{gathered}[/tex]

Now, we can use the following formula to find the initial speed:

[tex]\begin{gathered} \Delta S=V_0t+\frac{at^2}{2}\\ \\ 40=V_0\cdot9.45+\frac{\frac{(2.1-V_0)}{9.45}\cdot9.45^2}{2}\\ \\ 40=9.45V_0+4.725(2.1-V_0)\\ \\ 40=9.45V_0+9.9225-4.725V_0\\ \\ 4.725V_0=40-9.9225\\ \\ V_0=\frac{30.0775}{4.725}\\ \\ V_0=6.3656\text{ m/s} \end{gathered}[/tex]

(b)

Now, calculating the acceleration, we have:

[tex]\begin{gathered} a=\frac{2.1-6.3656}{9.45}\\ \\ a=-0.4514\text{ m/s^^b2} \end{gathered}[/tex]

A periodic wave has a frequency of 3.2 Hz. What is the wave period?answer in:____ s

Answers

Given:

Frequency of wave, f = 3.2 Hz.

Let's find the period of the wave.

To find the wave period, apply the formula:

[tex]T=\frac{1}{f}[/tex]

Where:

T is the period in seconds

f is the frequency hertz.

Thus, we have:

[tex]\begin{gathered} T=\frac{1}{3.2} \\ \\ T=0.3125\text{ s} \end{gathered}[/tex]

Therefore, the wave period is 0.3125 seconds.

ANSWER:

0.3125 s

An il film (n = 1.42) floating on water is84.8 nm thick. What is the wavelengthIN NANOMETERS of the brightest(m = 1) reflected color?(Hint: If you leave the wavelength in nm,the answer will be in nm. No conversionnecessary.)(Unit = nm)

Answers

Given:

n = 1.42

Thickness, t = 84.8 nm

m = 1

Let's find the wavelength in Nanometers of the brightest reflected color.

Apply the formula:

[tex]t=(m-\frac{1}{2})(\frac{\lambda}{2n})[/tex]

Where:

• t = 84.8 nm

,

• m = 1

,

• n = 1.42

Plug in the values in the formula and solve for the wavelength λ:

[tex]\begin{gathered} 84.8=(1-\frac{1}{2})(\frac{\lambda}{2*1.42}) \\ \\ 84.8=(\frac{1}{2})(\frac{\lambda}{2.84}) \\ \\ 84.8=\frac{\lambda}{2*2.84} \\ \\ 84.8=\frac{\lambda}{5.68} \\ \\ \lambda=84.8*5.68 \\ \\ \lambda=481.67\text{ nm} \end{gathered}[/tex]

Therefore, the wavelength is 481.67 nm.

• ANSWER:

481.67 nm

A 25.0 kg bag of dirt falls 15.0 m at a construction site. Assuming that all of the heat produced is retained by the dirt, how much will its temperature increase? (cdirt = 0.20 cal/g•°C)

Answers

Given:

• Mass of bag, m =25.0 kg

,

• Height, h = 15.0 m

,

• c = 0.20 cal/g•°C

Let's find by how much the temperature will increase.

Apply the Law of Conservation of Energy:

[tex]mc\Delta T=mgh[/tex]

Where:

• m is the mass

,

• c is the specific heat capacity

,

• g is acceleration due to gravity

,

• h is the height.

,

• ΔT is the temperature change.

Thus, we have:

[tex]\begin{gathered} mc\Delta T=mgh \\ \\ Eliminate\text{ m on both sides:} \\ c\Delta T=gh \end{gathered}[/tex]

Now, plug in the values and solve for ΔT:

[tex]\begin{gathered} \Delta T=\frac{gh}{c} \\ \\ \Delta T=\frac{9.8*15.0}{0.20\times10^3\times4.2} \\ \\ \Delta T=\frac{147}{840} \\ \\ \Delta T=0.175^o\text{ C} \end{gathered}[/tex]

Therefore, the temperature change is 0.175° C.

• ANSWER:

0.175° C

A train is traveling at 100 mil/hr and travels for 10 hrs . How far did it travel ?

Answers

Givens.

• The speed is 100 mi/hr.

,

• The time elapsed is 10 hr.

To find the distance traveled, use the constant motion formula.

[tex]d=vt[/tex]

Where, v = 100 mi/hr and t = 10 hr.

[tex]\begin{gathered} d=100\cdot\frac{mi}{hr}\cdot10hr \\ d=1000mi \end{gathered}[/tex]

Therefore, the train traveled 1000 miles.

You need to construct a 400 pF capacitor for a science project. You plan to cut two L x L metal squares and place spacers between them. The thinnest spacers you have are 0.20 mm thick. What is the proper value of L?Express your answer in centimeters.

Answers

Consider that the formula for the capacitance of a square parallel plate capacitor is:

[tex]C=\epsilon_o\frac{A}{d}=\epsilon_o\frac{L^2}{d}[/tex]

where A=L^2 is the area of each plate, d is the separation between plates and

ε0 is the dielectric permitivity of vacuum ans is equal to 8.82*10^-12 F/m.

If you solve the previous expression for L and replace the given values for d and C, you obtain:

[tex]\begin{gathered} L=\sqrt[]{\frac{dC}{\epsilon_o}} \\ d=0.20mm=0.20\cdot10^{-3}m=2.0\cdot10^{-4}m \\ C=400pF=400\cdot10^{-12}F=4.00\cdot10^{-10}F \\ L=\sqrt[]{\frac{(2.0\cdot10^{-4}m)(4.00\cdot10^{-10}F)}{8.85\cdot10^{-10}\frac{F}{m}}} \\ L\approx0.0095m=0.95cm \end{gathered}[/tex]

Hence, the proper value of L to construct the required capacitor is approximately 0.95cm

How much heat is needed to bring 25.5 g of water from 29.3 °C to 43.87 °C.Q =m=ΔT= C=solution =

Answers

We are given the following information

Mass of water = 25.5 g

Initial temperature of water = 29.3 °C

Final temperature of water = 43.87 °C

The specific heat capacity of water is 4.186 J/g.°C

The amount of heat required is given by

[tex]\begin{gathered} Q=m\cdot c\cdot\Delta T \\ Q=m\cdot c\cdot(T_f-T_i) \end{gathered}[/tex]

Let us substitute the given values into the above formula

[tex]\begin{gathered} Q=25.5\times4.186\cdot(43.87-29.3) \\ Q=1,555.25\; J \end{gathered}[/tex]

Therefore, we need 1,555.25 Joules of heat to bring 25.5 g of water from 29.3 °C to 43.87 °C.

Which of the following descriptions best describes all of the factors that need to be considered when
determining an object's terminal velocity? (1 point)
O air density and the object's drag coefficient
O the object's weight and area it presents
O the object's weight and area it presents, as well as air density
O the object's weight, length, and width

Answers

All of the factors that need to be considered when determining an object's terminal velocity are the object's weight and area it presents, as well as air density.

option C is the correct answer

What is terminal velocity?

Terminal velocity is obtained when the speed of a moving object is no longer increasing or decreasing. That is the object's acceleration (or deceleration) is zero.

Mathematically, the formula for terminal velocity is given as;

V = √(2mg)/(ρAC)

where;

m is the mass of the falling objectg is the acceleration due to gravityρ is the density of the fluid through which the object is fallingA is the projected area of the objectC is the drag coefficient

Thus, the variables to consider in determining terminal velocity of an object incudes the area, density of air, mass, etc.

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An organ pipe that is closed at one end has a length of 3 m. What is the second longest harmonic wavelength for sound waves in this pipe

Answers

Given

Lenght 3m

Procedure

The relationships between the standing wave pattern for a given harmonic and the length-wavelength relationships for closed-end air columns are summarized below.

Harmonic # 3

[tex]\begin{gathered} \lambda=\frac{4}{3}\cdot L \\ \lambda=\frac{4}{3}\cdot3 \\ \lambda=4\text{ m} \end{gathered}[/tex]

The second-longest wavelength would be 4m

Given a material of specific heat c in Cal/gramC^o and mass 6 grams. If the material is heated by absorbing 7 calories of heat then which of these expressions yields the change in temperature of the material in Celsius degrees? A)7 divided by (c - 6) B)7 times (c - 6) C)7 divided by (6 times c)

Answers

Given:

The mass is m = 6 grams.

The heat absorbed is Q = 7 calories.

The unit of specific heat, c of the material is cal/gram degree Celsius

To find the change in temperature of the material in degrees Celsius.

Explanation:

The formula to calculate the temperature change is

[tex]\begin{gathered} Q\text{ = mc}\Delta T \\ \Delta T=\frac{Q}{mc} \end{gathered}[/tex]

Substituting the values, the change in temperature will be

[tex]\Delta T\text{ = }\frac{7}{6\times c}[/tex]

Final Answer: The change in temperature will be 7 divided by (6 times c).

A rope is vibrating so as to form the standing wave pattern shown at the right. 1.How many nodes are present in the rope?2.What harmonic is shown in the pattern?3.A guitar string has a fundamental frequency of 120 Hz. What is the frequency of the third harmonic of the string?

Answers

We will have the following:

1. There are 5 nodes.

2. The harmonic shown is the 4th harmonic.

3. We will detemrine the 3rd harmonic as follows:

[tex]\lambda_3=\frac{3}{2}(120Hz)\Rightarrow\lambda_3=180Hz[/tex]

A plant that is 4.1 cm tall is 10.3 cm from a converging lens. You observe that the image of this plant is upright and 6.2 cm tall. What is the focal length of the lens?

Answers

We know that the magnification is given by:

[tex]M=\frac{h^{\prime}}{h}[/tex]

where h is the height of the object and h' is the height of the image, then in this case we have:

[tex]M=\frac{6.2}{4.1}[/tex]

On the other hand we also know that the magnification is given by:

[tex]M=-\frac{i}{o}[/tex]

where i is the distance of the image to lens and o is the distance of the object to the lens. From this we have:

[tex]\begin{gathered} \frac{6.2}{4.1}=-\frac{i}{10.3} \\ i=-\frac{10.3\cdot6.2}{4.1} \end{gathered}[/tex]

Once we have the distance of the image we can use the lens equation to find the focal point:

[tex]\begin{gathered} \frac{1}{10.3}+\frac{1}{-\frac{10.3\cdot6.2}{4.1}}=\frac{1}{f} \\ \frac{1}{10.3}-\frac{4.1}{10.3\cdot6.2}=\frac{1}{f} \\ f=(\frac{1}{10.3}-\frac{4.1}{10.3\cdot6.2})^{-1} \\ f=30.41 \end{gathered}[/tex]

Therefore the focal distance of the lens is 30.41 cm and this can be round to 30 cm, hence the answer is D

The speed of light in an unknown medium is measured to be 2.76 x10% m/s. What is the index of refraction of the medium?

Answers

Answer:

Explanation:

The formula for calculating the index of refraction is expressed as

n = c/v

where

n is the index of refraction

v is the speed of light in the medium

c is the speed of light in vacuum and its value is 3 x 10^8 m/s

From the information given,

v = 2.76 x 10^8 m/s

Thus,

n = 3 x 10^8 m/s/2.76 x 10^8 m/s

n = 1.09

the index of refraction of the medium is 1.09

QUESTION 26If the woman in the previous question doubles the constant horizontal force that she exerts on the box to push it on the same horizontal floor,O with a constant speed that is double the speed "vo" in the previous question.with a constant speed that is greater than the speed "vo" in the previous question, but not necessarily twice as great.for a while with a speed that is constant and greater than the speed "vo" in the previous question, then with a speed that increases thereafO for a while with an increasing speed, then with a constant speed thereafter.

Answers

Answer:

Explanation:

When the woman exerts a

The press box at a basketball park is 38.0ft above the ground. A reporter in the press box looks at an angle of 15 degrees below the horizontal to see second base. What is the horizontal distance from the press box to second base?

Answers

The press box at a basketball park is 38.0 ft above the ground.

A reporter in the press box looks at an angle of 15 degrees below the horizontal to see the second base.

Let us draw the diagram to better understand the problem.

Here x is the horizontal distance from the press box to the second base.

With respect to angle 15°, the opposite side is 38 ft and the adjacent side is x.

Recall from the trigonometric ratios,

[tex]\begin{gathered} \tan \theta=\frac{opposite}{adjacent} \\ \tan 15\degree=\frac{38}{x} \\ x=\frac{38}{\tan 15\degree} \\ x=141.8\; ft \end{gathered}[/tex]

Therefore, the horizontal distance from the press box to the second base is 141.8 ft.

Joanne drives her car with a mass of 1000 kg at a speed of 16m/s. what is the
the magnitude of road friction force needed to bring her car to a halt in 14s .

Answers

The frictional force will be the product of mass and the deceleration of the car which is 1142.9 N

What is Friction ?

Friction is a force that opposes motion. It depends on the surface in contact and independent on the area of the surface.

Given that Joanne drives her car with a mass of 1000 kg at a speed of 16m/s. Before we calculate the the magnitude of road friction force needed to bring her car to a halt in 14s, let us first list out all the necessary parameters

Mass m = 1000 kgInitial velocity u = 16 m/sFinal velocity v = 0 m/sTime t = 14 sAcceleration a = ?Frictional Force F = ?

The Frictional Force F = ma

From first equation of motion, v = u - at

Substitute the necessary parameters into the equation

0 = 16 - (a × 14)

14a = 16

a = 16/14

a = 1.143 m/s²

Then Frictional Force F = 1000 × 1.143

F = 1142.9 N

Therefore, the magnitude of road frictional force needed to bring her car to a halt in 14s is 1142.9 N

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Which of the following inventions came first?fiber opticsthe radiothe televisionthe telegraph

Answers

Telegraph is the invention that came first.

Other Questions
After complaining to her doctor that she is feeling tired all of the time, Isla is diagnosed with anemia. Her doctor tells her that she needs to get more iron in her diet. Since Isla is a vegan, which would be her BEST choice for more iron? When the temperature of a gas is increased and the pressure is held constant what happens to the density of the gas? A national standard requires that public bridges over 20 foot in length must be inspected and rated overy 2 yours. The rating scalo ranges from 0 (poorest rating) to 9 (highost rating). A group of engineers used aprobabilistio model to forecast the inspection ratings of all major bridges in a city. For the year 2020, the enginoors forecast that 8% of all major bridges in that city will have ratings of 4 or below. Comploto parts aand bea. Use tho forecast to find the probability that in a random sample of 8 major bridgos in the city, at least 3 will have an inspection rating of 4 or below in 2020,PIX23) - (Round to five decimal places as needed.) Help please look at the image and also use these terms recursive: f(1) = 2, f(n) = 2*f(n-1). explicit: we need to take 1st term/pattern. which of the following activities is an accountant not responsible for in review engagements performed in accordance with statements on standards for accounting and review services? group of answer choices performing basic analytical procedures. remaining independent. developing an understanding of internal control. providing any form of assurance. This statement is false or true?Expression that contain one variable can be proven true or false by replacing the variable with a number. How much of an 8% solution should we use to make 100g of 3% solution?Please use the picture for the format :) thank you!! a line that passes through points (2, 40) and (20, 4) Suppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. He conducts this experiment 15 times on each car and records the number of miles driven.Find the Sample standard deviation for Car 1 and Car 2 25.As a solution becomes more acidic, the pH of the solution...Select one:a. increases.b. decreases.c. remains unchanged.d. quickly increases and then gradually decreases. . The volume of the prism is 45 cubic inches.What is the length of each side? Determine the exact value of (sin 45 ) (cos 45 ) + (sin 30) (sin 60)(Don't leave radicals in the denominator) Given the dot product ww = 29, find the magnitude of w. please help me ASAP!!! Determine the equation of the line that passes through the point (1/9,3) and is parallel to the line 8y+4x=4. In the diagram below, AB is a diameter of the circle. If arc CB measures 98 , find the measure of < ABC. A rectangular garden has an area of 360 square feet.The length of the garden is 9 feet longer than thewidth. Find the dimensions of the garden in feet.24 ft by 15 ft24 ft by 15 ft or -24 ft by - 15 ftO 33 ft by 24 ft49 ft by 40 ft question content area part 1 at the point where average variable cost reaches its minimum value a. average variable cost equals marginal cost. b. average variable cost equals average total cost. c. marginal cost equals zero. d. marginal cost also reaches its minimum value. Drag each label to the correct location. Not all labels will be used.The dimensions of a rectangular section of forest land are 5.5 x 105 meters and 4.2 x 104 meters. Complete the following sentences.2.31 x 1032.31 x 1042.31 x 10523.1 x 102.31 < 101023.1 x 1010square meterssquare kilometersThe area of the land issquare meters in scientific notation.We can represent this area assquare kilometers in scientific notation.Hint: 1 square kilometer is equal to 1 x 106 square meters.The unitis more appropriate to represent the area of the forest land in scientific notation. In trisomy 21, an error during meiosis results inthree copies of Chromosome 21, leading to developmental deficits.three copies of Chromosome 19.the normal two copies of Chromosome 21, and no developmental deficits.a point mutation.