Write the equation for the velocity component in the x-direction?

Answers

Answer 1

Answer:

The equation for the velocity component in the x-direction is : vx(t) = v(0) Cosθ.

Explanation:

here v(0) is the initial velocity


Related Questions

PLEASE HELP ME WITH THIS ONE QUESTION
A piston has a volume change of 7 x 10^-6 m^3. Assuming atmospheric pressure is 101,325 J, what is the work needed to change the piston volume?

Answers

Correct question:

A piston has a volume change of 7 x 10^-6 m^3. Assuming atmospheric pressure is 101,325 Pa, what is the work needed to change the piston volume?

Answer:

The work needed to change the piston volume is 0.709 J

Explanation:

Given;

volume of the piston, V = 7 x 10⁻⁶ m³

atmospheric pressure, P = 101,325 Pa

The work needed to change the piston volume is calculated as follows;

W = PV

W = (7 x 10⁻⁶ m³) x (101,325 Pa)

W = 0.709 J

Therefore, the work needed to change the piston volume is 0.709 J

Bob and Sally sit on a 4 m long see-saw that has its fulcrum smack in the center of the board. If 50 kg Sally is sitting at one end of the plank, where should 70 kg Bob sit on the other side relative to the fulcrum so the net Torque is zero?

Answers

Answer:

1.43m

Explanation:

Given data

m1= 50kg

m2=70kg

We are told that Sally m1= 50 sat at one end which is 2m from the center

Hence, the summation of clockwise moment = summation of anticlockwise moment

See the attached image for your reference

50*2= 70*x

100= 70x

x= 100/70

x=1.43m

Hence the mass m2 will be at the 1.43m mark for the net torque to be zero

In the playground game of tetherball, a ball tied to a rope circles a pole, wrapping the rope around the pole is it goes. Opponents compete to wrap the ball around the pole in one direction or the other; the game ends when the rope is entirely wrapped around the pole and the ball touches the pole. If you get the ball going around in one direction, as the rope shortens and the ball goes in smaller and smaller circles, the ball goes around with a shorter and shorter period.

Required:
Explain why this happens.

Answers

As the rope becomes shorter, the length of the rope is  decreased and the centripetal force decreases according causing the ball to move in smaller circles.

What is centripetal force?

The centripetal force is defined as the force that keeps an object moving in a circular path. Also, the centripetal force is equal to the tension in the rope and the tension in the rope depends on the length of the rope.

As the rope shortens, the tension in the rope decreases and the centripetal force on the ball decreases hence the ball moves in smaller and smaller circles, the ball goes around with a shorter and shorter period.

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4. Juanita has taken two IQ test in her life. When she was 30 she scored 130 on her first IQ test. She then took another test when she turned 40. What is MOST likely to be true of Juanita's score on the second test
The score on the second test should be higher as 10 improves with age
The score on the second test should be close to 130 as IQ is a steady measurement
The score on the second test should be lower as IQ peaks at age 35 and then decreases
The score on the second test should be 10 points lower due to Juanita's mental age.

Answers

Answer:

It is most likely that the score on the second test should be close to 130 as IQ is a steady measurement. Intelligence quotient (IQ) is a measure of a person's cognitive ability and is typically considered to be a stable trait that does not change significantly over time. While some research has suggested that certain aspects of cognitive ability may improve with age, the overall IQ score is generally considered to be a consistent measure of cognitive ability. Therefore, it is unlikely that Juanita's score on the second test would be significantly different from her score on the first test.

Sorry if I answered it late :D

the image below shows how the temperature of 10 g of ice changes as energy is added. which statement is correct?

Answers

The correct statement is the water absorbed energy continuously, but the temperature increased only when all of the water was in one phase.

this is explained by the latent heat of fusion. The melting point of ice ( at which ice melts into water) is 0 degree Celcius. This temperature remains constant till all 10 g of ice melts completely and water comes in the same phase of liquid.

The latent heat of fusion, also known as enthalpy of fusion, is defined as the total amount of heat energy supplied to a solid substance to start a change in its physical state from a solid to a liquid state. Given the pressure of the environment is constant.

The correct option is (b).

The given question is incomplete, the complete question is

The image below shows how the temperature of 10 g of ice changes as energy is added. which statement is correct?

(a) The water absorbed energy continuously and temperature increases while water is changing phase.

(b) The water absorbed energy , but the temperature increased only when all of the water was in one phase.

(c) Temperature of the water remained constant.

(d) Temperature always increases.

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xvii. Heat travels from one end of an iron rod to the other end by
A Convection
B Radiation
C Conduction
D Vibration
xix. Which one of the following statements about heat transfer is incorrect?
A Convection can take place in a vacuum.
B Convection can take place in a liquid.
C A convection current can be present in gas.
D Sun heats up the earth by convection.
xx. When matters changes state, its temperature:
A Increases
B Decreases
C Changes to the temperature of surrounding.
D Remains same.

Answers

Heat travels from one end of an iron rod to the other end by conduction. The correct option is C.

The incorrect statement about heat transfer is convection can take place in a vacuum. The correct option is C.

When matter changes state, its temperature remains the same. The correct option is D.

What is heat transfer?

Heat transfer is the process by which heat energy is transferred from one point t another.

Heat energy is always transferred from hotter to colder bodies.

The processes of heat transfer include:

conduction - heat transfer without actual movement of moleculesconvection - heat trasfer 5hat involves molecular movementradiation - heat transfer without a material medium or through space.

Transfer of heat results in an increase in temperature as well as a change of state.

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The flux through a loop of wire changes at a uniform rate from 4x10-'Wb to 5x10-5 Wb in 0.10 s. Determine the emf induced in the coil 5.0 x 10 V 4.0x10v O 1.0 x 10-4 v O 6,0 x 10-57 A 0.50

Answers

In 0.10 s, total flux through such a wiring loop increases uniformly from 4x10-'Wb through 5x10-5 Wb. The coil experiences an induced emf of 1*10⁻⁴ v.

What are the SI unit and flux?

A distribution of something like the electromagnetic field or the velocity at which the electric field moves throughout a specific area can both be measured as electric flux. The Greek letter e is used to represent electric flow. Electric flux is measured in SI units as or Nm 2 C – 1.

What is the same as flux?

E is the amplitude of the electrostatic potential (with units of V/m), and if the magnetic charge is constant, the electric flux (E) travelling through a material of vector area S equals: E = ES = EScos.

Briefing:

change in magnetic flux d∅ = (5*10⁻⁵ - 4*10⁻⁵) wb

d∅ = 1*10⁻⁵wb

time = 0.10 sec.

induce emf, e = -d∅/ dt

[e] = d∅/ dt

[e] = 1*10⁻⁵ / 0.10 v

[e] = 1*10⁻⁴ v.

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35 POINTSS!!! PLSSSS HELLPPP!!!
Work is the transfer of power from one object to another.


Please select the best answer from the choices provided

T
F

Answers

Answer:

T

beacuse:

Energy can be transferred from one object to another by doing work. ... When work is done, energy is transferred from the agent to the object, which results in a change in the object's motion (more specifically, a change in the object's kinetic energy).

A police siren of frequency fsiren is attached to a vibrating platform. The platform and siren oscillate up and down in simple harmonic motion with amplitude Ap and frequency fp. Use v for the speed of sound. Part A Find the maximum sound frequency that you would hear at a position directly above the siren. At what point in the motion of the platform is the minimum frequency heard

Answers

Answer:

he maximum frequency occurs when the denominator is minimum

 f’= f₀  [tex]\frac{343}{343 + v_s}[/tex]

Explanation:

This is a doppler effect exercise, where the sound source is moving

           f = fo [tex]\frac{v}{v-v)s}[/tex]      when the source moves towards the observer

           f ’=f_o  [tex]\frac{v}{v+v_{sy}}[/tex]  Alexandrian source of the observer

the maximum frequency occurs when the denominator is minimum, for both it is the point of maximum approach of the two objects

          f’= f₀  [tex]\frac{343}{343 + v_s}[/tex]

A train whistle produces a sound at a frequency of 600 Hz. If the train is moving toward a stationary observer at a constant speed, which of the following may be the frequency of the whistle as detected by the observer?

Answers

Huh I don’t know this I’m confused a lot

A car crashes into a wall with an impulse of 40,000 kg.m/s. The collision took 2 seconds. How much force did the wall exert?


Answers

Answer:

i hate physics lol but its 20,000N

Explanation:

Can someone help me here

Answers

Answer:

1. grass Can survive by itself because it is not dependent on food, it is self-sustaining. and since grass it's not dependent on food it is a producer.

2. and 3. they would all decrease, since the prairie dogs are herbivores they eat basically plants such as grass and if half of the grass is gone then they would have less to eat and therefore decrease.

since ferrets eat prairie dogs, if the prairie dogs population decreases the ferrets would have less to eat and therefore decrease as well.

one of the predators of ferrets are foxes and if the ferrets decrease then the fox would also decrease since it will have less to eat.

4. if we would continue advancing years soon the ferret, prairie dogs and foxes would be no more because if there is less grass they would keep on decreasing over the years until they would be extinct.

1+1=69 how is it possible

Answers

Answer:

you add 67 to 1+1 is this clear also chicken nuggets

Answer:

i dont know

Explanation:

A rocket weighs 1.000. N on the surface of Earth. What is its weight at a distance of two Earth radii above the
surface of Earth?
P.5B
0 111.0 N
250.0 N
333.0 N
5000 N

Answers

Answer:

0 111.0N be cause the rest do not add up

7. The work done in picking the same chair up 1 meter would be about
A. 4J
B. 40J
C. OJ
D. 400J

Answers

The answer is d 400 j because that is what is my looks like
400j is the answer sweet heart

what happens when the north pole of one bar magnet is near the north pole of another bar magnet?

Answers

Answer:

C

Explanation:

magnet poles with the same polarization reject each other.

Answer:

the answer c because they will push away from each other

A 51.0 kg crate, starting from rest, is pulled across a floor with a constant horizontal force of 225 N. For the first 10.0 m the floor is frictionless, and for the next 10.5 m the coefficient of friction is 0.17.
What is the final speed of the crate after being pulled these 20.5 meters?

Answers

Answer:

The final speed of the crate is 12.07 m/s.

Explanation:

For the first 10.0 meters, the only force acting on the crate is 225 N, so we can calculate the acceleration as follows:

[tex] F = ma [/tex]

[tex] a = \frac{F}{m} = \frac{225 N}{51.0 kg} = 4.41 m/s^{2} [/tex]

Now, we can calculate the final speed of the crate at the end of 10.0 m:

[tex] v_{f}^{2} = v_{0}^{2} + 2ad_{1} [/tex]                  

[tex] v_{f} = \sqrt{0 + 2*4.41 m/s^{2}*10.0 m} = 9.39 m/s [/tex]    

For the next 10.5 meters we have frictional force:

[tex] F - F_{\mu} = ma [/tex]

[tex] F - \mu mg = ma [/tex]

So, the acceleration is:

[tex] a = \frac{F - \mu mg}{m} = \frac{225 N - 0.17*51.0 kg*9.81 m/s^{2}}{51.0 kg} = 2.74 m/s^{2} [/tex]

The final speed of the crate at the end of 10.0 m will be the initial speed of the following 10.5 meters, so:

[tex] v_{f}^{2} = v_{0}^{2} + 2ad_{2} [/tex]  

[tex] v_{f} = \sqrt{(9.39 m/s)^{2} + 2*2.74 m/s^{2}*10.5 m} = 12.07 m/s [/tex]  

Therefore, the final speed of the crate after being pulled these 20.5 meters is 12.07 m/s.  

I hope it helps you!                              

a shiny object reflects light. will a shiny object make a shadow when light shine on it? explain your answer​

Answers

Answer:

yes I think it is possible

Yes the shiny object will surely make a shadow if there is a source of light and there is a screen because when the path is obstruct by an opaque object a shadow is formed. The shiny object will reflect light but wont allow light to pass through it which makes it an opaque object and it produces a shadow.

help me besties PLEASE ;-;​

Answers

Answer:

Current in resistors = 1.5 amp

Current in resistors = 0.18 amp

P = 93.75 watts

Explanation:

Given:

1. Three 5 ohm resistor(series)

Voltage = 10 volt

2. Three 5 ohm resistor(parallel)

Voltage = 9 volt

3. Three 5 ohm resistor(series)

Voltage = 6 volt

Find:

Current in resistors

Current in resistors

Total power of circuit

Computation:

1. Total resistor (Series) R = R1 + R2 + R3

Total resistor (Series) R = 5 + 5 + 5

Total resistor (Series) R = 15 ohm

I = V/R

Current in resistors = (15)/(10)

Current in resistors = 1.5 amp

2. Total resistor (Series) R = 1/[1/R1 + 1/R2 + 1/R3

Total resistor (Series) R = 1[1/5 + 1/5 + 1/5]

Total resistor (Series) R = 1.67 ohm

I = V/R

Current in resistors = (1.67)/(9)

Current in resistors = 0.18 amp

3. Total resistor (Series) R = R1 + R2 + R3

Total resistor (Series) R = 5 + 5 + 5

Total resistor (Series) R = 15 ohm

I = V/R

I = (15)/(6)

I = 2.5 amp

P = I²(R)

P = (2.5)²(15)

P = 93.75 watts

S
In a game of pool, the cue ball rolls toward the stationary eight ball with a velocity of 1.35,
and they collide. The mass of the cue ball is 170 grams, and the mass of the eight ball is
156 grams. The velocity of the cue ball immediately after the collision is 0.060
What is the velocity of the eight ball immediately after the collision?
Your answer should have three significant figures.
m
You might need: Calculator
S
Show Calculator
MOO
EXTD
9:0

Answers

The velocity of the eight ball immediately after the collision is 1.41 m/s.

What is the final velocity of the eight ball after the collision?

The final velocity of the eight ball after the collision is calculated by applying the principle of conservation of linear momentum;

m₁u₁  +  m₂u₂  = m₁v₁   +  m₂v₂

where;

m₁ is the mass of the cue ballu₁ is the initial velocity of the cue ballm₂ is the mass of the eight ballu₂ is the initial velocity of the eight ballv₁ is the final velocity of the cue ballv₂ is the final velocity of the eight ball

(0.17)(1.35) + (0.156)(0) = (0.17)(0.06) + (0.156v₂)

0.2295 = 0.0102 + 0.156v₂

0.156v₂ = 0.2193

v₂ = 1.41 m/s

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n unit-vector notation, what is the torque about the origin on a particle located at coordinates (0, −4.0 m, 3.0 m) if that torque is due to (a) force F1 with components F1x = 2.0 N, F1y = F1z = 0, and (b) force F2 with components F2x = 0, F2y = 2.0 N, F2z = 4.0 N?

Answers

n unit vector notation, -22j is the torque about the origin on a particle located at coordinate (o, -4.0m, 3.0m)


Torque
is defined as the force that can cause an object to rotate along an axis is measured as torque. Estimate the angle between the vector connecting the force's application point and the pivot point and the direction of the applied force. You may calculate the torque by multiplying r by F and sin.

T=R (distance) x F (Force)

R=-4j+3k

F=2J

Hence, t=  R x F vector product

=(-4j+3k)x2j

=-4x2x(y x J)

=+3x2y(k x r)

=-8x(-k)+6j

=(6j+8k) nm

b) F^2=2J+4K

Hence, t=r x f^2

=(-4j+3k)x(2j+4k)

=0-16( J x k)+6(K x J)+0

=-16j-6j

=-22j  

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A car starting from rest moves with constant acceleration of 2.0 m/s2 for 10 s, then travels with
constant speed lor another 10 s, and then finally slows to a slop will conslanl acceleration of
-2.0 m/s2. How far does it travel?​

Answers

Answer:

Secondary SchoolPhysics 5+3 ptsA body starts from rest and moves with a uniform acceleration.

All EM waves (light waves) travel at the same speed through the vacuum of space. If the different types of waves are distinguished by their frequency, what basic characteristic of the waves determines their difference

Answers

Answer:

Their different wavelengths.

Explanation:

trust me

All EM waves (light waves) travel at the same speed through the vacuum of space. If the different types of waves are distinguished by their frequency, the basic characteristic of the waves that determine their difference is the wavelength of the electromagnetic waves.

What is Wavelength?

It can be understood in terms of the distance between any two similar successive points across any wave for example wavelength can be calculated by measuring the distance between any two successive crests.

It is the total length of the wave for which it completes one cycle.

The wavelength is inversely proportional to the frequency of the wave as from the following relation.

C = νλ

where c is the speed of light

ν is the frequency of the wave

λ is the wavelength of the wave

As we know electromagnetic waves (light waves) travel at the same speed through the vacuum of space which is the speed of light which is 3×10⁸ meter/second

All EM waves (light waves) travel at the same speed through the vacuum of space. If the different types of waves are distinguished by their frequency, the basic characteristic of the waves that determine their difference is the wavelength of the electromagnetic waves.

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One of the advantages of alternating current (ac) over direct current (dc) is the ease with which voltage levels can be increased or decreased.

a. True
b. False

Answers

Answer:

True

Explanation:

In an alternating current, voltage levels can be easily increased or decreased as per the requirements of the energy distribution in practical world.

Hence, the given statement is true

Thomson observed that cathode beams can pass undeflected through crossed electric and magnetic fields. Which of the following quantities must then be common to the particles making up these beams? A. Mass B. Size C. Magnitude of charge D. Sign of charge E. Sign and magnitude of charge F. Velocity

Answers

Answer:

e must have the charge of the particle

Explanation:

In this experiment, the particles that the cathode rays are found where from an electric field and another magnetic field, for the particle to pass without deviating the magnetic force must have the same modulus of the entricar force, and be in the opposite direction.

the expression for the magnetic force is

          F_m = q v xB

the expression for the electric force is

          F_e = q E

when warning the check two formulas we must have the charge of the particle

(20 points) You are at the center of a boat and have been rowing the boat for a long time. You weigh only 80 kg and your 120 kg buddy Bubba has been riding at the front of your 60 kg, 4 m long boat. You come to a stop in the water and then switch places. A) What is the center of mass before you switch places

Answers

Answer:

Explanation:

From the given information:

Let the first weight be [tex]m_ 1[/tex] = 80 kg

The weight of the buddy be [tex]m_2[/tex] = 120 kg

The weight of  Bubba be [tex]m_3[/tex] = 60 kg

Also, since you and Budda are a distance of 4m to each other, then the length to which both meet buddy will be:

[tex]x_1 = x_3 = \dfrac{4}{2} \\ \\ = 2[/tex]

The length of the boat be [tex]x_2[/tex] = 4 m

We can find the center of mass of the system by using the formula:

[tex]X_{CM} = \dfrac{m_1x_1+m_2x_2+m_3x_3}{m_1+m_2+m_3} \\ \\ X_{CM} = \dfrac{(80 \times 2)+(120\times4)+(60\times2)}{80+120+60} \\ \\ X_{CM} = \dfrac{160+480+120}{260} \\ \\ \mathbf{X_{CM} = 2.923}[/tex]

Which one of the statements below is true about mechanical waves?

They must travel in empty space.
They can travel in a vacuum.
Both sound and light are examples of mechanical waves.
They require a medium to travel through.

Answers

Answer:

The answer is B

Explanation:

Two satellites are monitored as they orbit the Earth; satellite X is eight (8) times as far from the Earth's center as is satellite Y. Using Kepler's 3rd Law, by what factor is the the period (or revolution) of satellite X that of satellite Y

Answers

Answer:

  [tex]\frac{T_x}{T_y} = 22.63[/tex]

Explanation:

Kepler's third law is an application of Newton's second law for circular motion

          T² = K a³

let's apply this expression for each satellite

satellite X

            Tₓ² = K aₓ³

satellite Y

            [tex]T_y^2 = K a_y^3[/tex]

 the relation of the periods is

          [tex]\frac{T_x}{T_y} = \sqrt{ (\frac{a_x}{a_y} )^3 }[/tex]

they indicate us

            aₓ = 8 a_y

substitutes

           [tex]\frac{T_x}{T_y} = 8^{3/2}[/tex]

           [tex]\frac{T_x}{T_y} = 22.63[/tex]

A 69.5-kg person throws a 0.0475-kg snowball forward with a ground speed of 31.5 m/s. A second person, with a mass of 57.5 kg, catches the snowball. Both people are on skates. The first person is initially moving forward with a speed of 2.35 m/s, and the second person is initially at rest. What are the velocities of the two people after the snowball is exchanged

Answers

Answer:

- After throwing the snow, velocity of the thrower is 2.33 m/s

- the velocity of the receiver is 0.026 m/s

Explanation:

Given the data in the question;

Using conservation of momentum,

Initial thrower has a momentum of mv; [tex]m_{total[/tex]v

(69.5 kg + 0.0475 kg) × 2.35 m/s = 163.4366 kg.m/s

Now, When he throws it at 31.5 m/s, these constitutes a momentum of;

(0.0475 kg )(31.5 m/s) = 1.49625 kg.m/s

hence his momentum now is: 163.4366 - 1.49625 = 161.94035 kg.m/s

To get his velocity, we say;

161.94035 = mv

{ he lost weight of the snow ball so, m = 69.5 kg )

161.94035 = 69.5 × v

v = 161.94035 / 69.5

v = 2.33 m/s

Therefore, After throwing the snow, velocity of the thrower is 2.33 m/s

Next is the Receiver;

the receiver will gain momentum of 1.49625 kg.m/s

he has no momentum initially and after he catches the snow ball;

1.49625 kg.m/s = mv

1.49625 kg.m/s = ( 57.5 kg +  0.0475 kg ) × v

1.49625 kg.m/s = 57.5475 kg × v

v = ( 1.49625 kg.m/s ) / 57.5475 kg

v = 0.026 m/s

Therefore, the velocity of the receiver is 0.026 m/s

How far could you walk backwards in one hour? Use your speed from the 10m test to calculate the answer. Show your work or you will not receive credit.

Answers

Answer: Sweetheart i'm not walking backward for an hour for your little assignment

Explanation: Do it yourself lazy! Have a great day!

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barrackpore meerut gorakpore dandi champaran Under GAAP, companies can choose which inventory system? Periodic Perpetual O a. Yes No Periodic Perpetual Ob. Yes Yes Perpetual Periodic Yes Oc. No Perpetual Periodic No Od. Yes What are the 6 forms of revenue? the reasons that nations trade includes the fact that a. the wants of their citizens exceeds their productive capacity b. no one country produces all of what citizens within the country want c. different countries have different levels of greed d. labor costs are too high in some countries to efficiently produce goods The three most popular types of marketable securities are Treasury bills, Certificate of deposit, and:A) Treasury notesB) Corporate bondsC) Commercial paperD) Checking accounts the average age of a vehicle registerd in the united state in 8 year or 96 month . assume the standard deviation is 16 month .if random sample 36 month is selected .find the probabilty that the mean of their age a. betwen 90 and 100 You are approaching the maximum number of times: What causes this CGI error and how to avoid it? why would you use the print layout instead of the read mode view for modifications?a.You must install the Read Mode view whereas Print Layout is installed with Word.b.Read Mode view is available for documents sent as attachments in messages only.c.To display the document as it will appear when printed; you cannot print from the Read Mode.d.All commands are available in Print Layout view whereas Read Mode requires you go to Edit mode first. Find the compositions for the given functions. please help thanks:) a stock with a beta of 0.9 has an expected rate of return of 10%. if the market return this year turns out to be 8 percentage points below expectations, what is your best guess as to the rate of return on the stock? note: do not round intermediate calculations. enter your answer as a percent rounded to 1 decimal place. Ben has a cellphone plan where he pays $12 per month plus $.10 per minute of talk time. The equation y=0.1x+12 can be used to find his monthly phone bill y given the number of minutes x he is talking. Which of the following, in set builder notation, represents a reasonable range of the function. Adrian and his children went into a grocery store and will buy apples andmangos. Each apple costs $2.25 and each mango costs $2. Adrian has a totalof $25 to spend on apples and mangos. Write an inequality that wouldrepresent the possible values for the number of apples purchased, a, and thenumber of mangos purchased, m. The passages suggest that both authors would agree that some parents areA. completely unaware of their children's activitiesB. overly concerned with their children's independenceC. too wrapped up in their children's successD. very uninterested in their children's schoolwork What do we learn about the way Mr Jones treats the animals? What do we mean by equidistant? I need help with problem 11. A truck hauls a car cross-country. The truck's mass is 5.00x10 kg and the car's mass is 1.60x10 kg. If the force of propulsion resulting from the truck's turning wheels is 2.50x10' N, then determine the acceleration of the car (or the truck) and the force at which the truck pulls upon the car. Assume negligible air resistance forces. 3. Find the net forces for Situation 1 & 2 in page 56 of the module. 4. Figure below shows a truck is hauling a trailer along a level road. Find the force D that moves the truck forward. Use the given free body diagram. *27000 8500 0.7 m/? Drawbar D Trailer Truck (50/34.2)^1.5 = 10-t of 5 employees, 3 are to be assigned an office and 2 are to be assigned a cubicle. if 3 of the employees are men and 2 are women, and if those assigned an office are to be chosen at random, what is the probability that the offices will be assigned to 2 of the men and 1 of the women?