Three people pull simultaneously on a stubborn donkey. Jack pulls directly ahead of the donkey with a force of 63.9 N63.9 N , Jill pulls with 79.1 N79.1 N in a direction 45° to the left, and Jane pulls in a direction 45° to the right with 183 N183 N . (Since the donkey is involved with such uncoordinated people, who can blame it for being stubborn?) Find the magnitude of the net force the people exert on the donkey.

Answers

Answer 1

Answer:

a) F = (137.4 i ^ + 185 j ^) N

b)    F = 230.2 N  ,  θ = 53.5º

Explanation:

In this exercise we ask to find the net force, for which we will define a coordinate system fix the donkey and use trigonometry to decompose the forces

Jack       F₁ₓ = 63.9 N

Jill          F₂ = 79.1 N with direction 45º to the left

              cos (180 -45) = F₂ₓ / F₂

              sin 135 = [tex]F_{2y}[/tex] / F₂

              F₂ₓ = F₂ cos 135

              F_{2y} = F₂ sin 135

              F₂ₓ = 79.1 cos 135 = -55.9 N

              F_{2y} = 79.1 sin 135 = 55.9 N

Jane      F₃ = 183 N direction 45th to the right

             cos 45 = F₃ₓ / F3

             sin 45 = F_{3y} / F3

             F₃ₓ = F₃ cos 45 = 183 cos 45

             F_{₃y} = F₃ sin 45 = 183 sin 45

             F₃ₓ = 129.4 N

             F_{3y} = 129.4 N

we add each component of the force

       Fₓ = F₁ₓ + F₂ₓ + F₃ₓ

       Fₓ = 63.9 + (-55.9) + 129.4

       Fₓ = 137.4 N

       F_{y} = F_{2y} + F_{3y}

       F_{2y} = 55.9 + 129.4

       F_{2y} = 185.3 N

we can give the result of the forms

 

a) F = (137.4 i ^ + 185 j ^) N

b) in the form of module and angle

         F = RA (Fₓ² + F_{y}²)

         F = Ra (137² + 185²)

         F = 230.2 N

         tan θ = F_{y} / Fₓ

         θ = tan⁻¹ F_{y} / Fₓ

        θ = tan⁻¹ (185/137)

        θ = 53.5º


Related Questions

PLS ANSWER ASAP!!
A player punts a football at an angle of 30 degrees with an initial velocity of 20.0
m/s. What is the max range of the ball horizontally?
O 34.0 m
O24.0 m
8.30 m
0 20.0 m

Answers

Answer:

The closest choice to the answer is 34.0 m

Explanation:

Projectile Motion

It's the type of motion experienced by an object that is launched near the Earth's surface and moves along a curved path exclusively under the action of gravity.

Being vo the initial speed of the object, θ the initial launch angle, and g=9.8m/s^2 the acceleration of gravity, then the Range or maximum horizontal distance traveled by the object is:

[tex]\displaystyle d={\frac {v_o^{2}\sin(2\theta )}{g}}[/tex]

The football is kicked at an angle of 30° with an initial velocity of 20 m/s. Replacing those values:

[tex]\displaystyle d={\frac {20^{2}\sin(2\cdot 30^\circ)}{9.8}}[/tex]

[tex]\displaystyle d={\frac {400\sin(60^\circ)}{9.8}}=35.35\ m[/tex]

The closest choice to the answer is 34.0 m

WILL MARK BRAINLIEST PLS HELP
What affect does the Earth’s rotation have on objects that are near the equator?
(1 Point)
It applies a force that can reduce the effects of gravity.
It applies a force that can increase the effects of gravity.
It applies a force that can increase the mass of an object.
It applies a force that can reduce the mass of an object.

Answers

Answer:

Our planet's rotation produces a force on all bodies moving relative to theEarth. Due to Earth's approximately spherical shape, this force is greatest at the poles and least at the Equator. The force, called the "Coriolis effect," causes the direction of winds and ocean currents to be deflected.

Hope this helps!

An object is tossed downward at 5 m/s. How far will it go after 3 s?
please respond quick

Answers

Answer:

The answer is 15 m

Explanation:

The distance covered by an object given it's velocity and time taken can be found by using the formula

distance = velocity × time

We have

distance = 5 × 3

We have the final answer as

15 m

Hope this helps you

What is the momentum of a 15 kg tire rolling down a hill at 3 m/s?

5 kg • m/s
18 kg • m/s
45 kg • m/s
60 kg • m/s

Answers

Answer:

The answer is 45 kg • m/s

Explanation:

The momentum of an object can be found by using the formula

momentum = mass × velocity

From the question

mass = 15 kg

velocity = 3 m/s

We have

mass = 15 × 3

We have the final answer as

45 kg • m/s

Hope this helps you

Answer:

45 kg • m/s

Explanation:

Which of the following statements best describes why the mass of a bowling ball would not change if it were transported from Earth to the Moon?
Gravity is a constant force
The bowling ball wil adapt to the changes in gravity
Matter is resistant to acceleration and changes in gravity
The amount of matter in the bowling all remains the same

Answers

Answer:

D hope this helps

Explanation:

Answer:

D

Explanation:

The amount of matter in the bowling ball remains the same.

1.) A hover disc is moving across a wooden floor with a constant velocity and virtually no friction. The soccer
disc runs into a baseball, which applies a force of 5 N opposing the motion of the disc. What will happen to
the soccer discs velocity

Answers

Answer:

The soccer discs will be change.

Explanation:

Given that,

Opposing force = 5 N

We know that,

Drag force :

Drag force is directly proportional to the square of velocity.

[tex]F_{d}\propto v^2[/tex]

[tex]F_{d}=\dfrac{1}{2}C\rho Av^2[/tex]

Where, C = drag constant

[tex]\rho[/tex] = density

A = area

v= velocity

We need to find what happen to  the soccer discs velocity

According to drag force,

If we applies a force of 5 N opposing the motion of the disc then the velocity of the soccer discs will be change.

Hence, The soccer discs will be change.

a ship travels from savannah georgia to lisbon spain at a rate of 27.6 miles/hour. if the distance covered is 3982 miles how long did the trip take

Answers

Answer:3982/27.6=144.275

Explanation:The trip took 144 hours as 3982/27.6 is about 144.

A train accelerates at -1.5m/s for 10 seconds if the train had an initial speed of 32 m/s what is it's new speed

Answers

A. 17 m/s. let me know if it’s correct

A loaf of bread bakes in an oven. The bread is on a rack about one foot above the heat source. However, the top of the bread cooks just as fast as the bottom. How is heat being added to the bread?

Answers

Answer:

the bread is getting heated from top and bottom because the oven is heated all over and the particles from the oven makes the bread's particles heat up and the bread will be done

Explanation:

i have the same answer

Answer:

The air is heated by the heat source in the oven. The hot air rises, surrounds the bread, and heats the bread on all sides.

Explanation:

What is the momentum of a 200 kg football player running west at a speed of 8m/s

Answers

Answer:

The answer is 1600 kgm/s

Explanation:

The momentum of an object can be found by using the formula

momentum = mass × velocity

From the question

mass = 200 kg

velocity / speed = 8m/s

We have

momentum = 200 × 8

We have the final answer as

1600 kgm/s

Hope this helps you

What is the current in a 160V circuit if the resistance is 20Ω

Answers

Answer:

I =V/R

I= 160/20 = 8 Amperes

An object accelerated at a rate of 50 m/s/s. A force of
100 N was used to make this happen. What is the mass
of the object?

Answers

Answer:

2kg

Explanation:

100N= force 50m/s²=acceleration

mass=?

the equation is;

Mass(kg)= Force(N) ÷ Acelleration(m/s²)

100÷50=2

Calculate the kinetic energy of a 20-kg sled moving 28.0 m/s.

Answers

Kinetic energy = 1/2 x 20 x (28^2) = .... Joules

The kinetic energy of the moving sled with the given value of mass and velocity is 7.84 × 10³ Joules.

What is Kinetic Energy?

Kinetic energy is simply a form of energy a particle or object possesses due to its motion.

It is expressed as;

K = (1/2)mv²

Where m is mass of the object and v is its velocity.

Given the data in the question;

Mass of the sled m = 20kgVelocity of the sled V = 28.0m/sKinetic energy of the train K = ?

To determine the kinetic energy of the sled, we substitute our given values into the above expression.

K = (1/2)mv²

K = (1/2) × 20kg × (28.0m/s)²

K = 0.5 × 20kg × 784m²/s²

K = 7840kgm²/s²

K = 7.84 × 10³J

Therefore, the kinetic energy of the moving sled with the given value of mass and velocity is 7.84 × 10³ Joules.

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The 50-mm-diameter cylinder is made from Am 1004-T61 magnesium and is placed in the clamp when the temperature is T1 = 15°C. If the two 304-stainless-steel carriage bolts of the clamp each have a diameter of 10 mm, and they hold the cylinder snug with negligible force against the rigid jaws, determine the temperature at which the average normal stress in either the magnesium or the steel first becomes 12 MPa.

Answers

Answer:

The temperature of steel first becomes 12 MPa at a temperature of 18.65°C

Explanation:

Given that,

Diameter = 50 mm

Temperature = 15°C

Diameter = 10 mm

Stress = 12 MPa

We need to calculate the temperature of steel

Using formula of stress

[tex]stress=\alpha Y\Delta T[/tex]

Where, Y = young modulus

T = temperature

[tex]\alpha[/tex]= coefficient of linear expansion of the material

Put the value into the formula

[tex]12\times10^{6}=17.3\times10^{-6}\times190\times10^{9}\times(T_{2}-15)[/tex]

[tex](T_{2}-15)=\dfrac{12\times10^{6}}{17.3\times10^{-6}\times190\times10^{9}}[/tex]

[tex]T_{2}=3.650+15[/tex]

[tex]T_{2}=18.65^{\circ}[/tex]

We need to calculate the temperature of magnesium

Using formula of  stress

[tex]stress=\alpha Y\Delta T[/tex]

Put the value into the formula

[tex]12\times10^{6}=25.2\times10^{-6}\times45\times10^{9}\times(T_{2}-15)[/tex]

[tex](T_{2}-15)=\dfrac{12\times10^{6}}{25.2\times10^{-6}\times45\times10^{9}}[/tex]

[tex]T_{2}=10.5+15[/tex]

[tex]T_{2}=25.58^{\circ}[/tex]

Hence, The temperature of steel first becomes 12 MPa at a temperature of 18.65°C

In space, rockets move by shooting air backwards. What moves faster the air or the ship?

Answers

Answer:

Its being pushed.

Explanation:

There is no air but its being pushed by the flames coming from the rocket.

How many Stages of cancer are they?

Answers

Answer:

most cancers have four stages (1-4)

but some cancers start at 0 and end at 4 so they have five stages (0-4)

what does acceleRation measure

Answers

Answer:

Speed and distance traveled

Explanation:

We know the moon circulates the Earth. Suppose the mass of the Earth and moon are 5.9742 x1024 kg and 7.36 x 1022 kg, whereas the radius of the orbit is 382171 km. What will the gravitational force between the Earth and the moon?

Answers

Answer:

The gravitational force between two objects, one of mass M1 and the other of mass M2, is:

F = G*M1*M2/R^2

Where G is a constant:

G = 6.6x10^11 m^3*/(kg*s^2)

And R is the distance between the two objects.

M1 = 5.9742x10^24 kg

M2 = 7.36x10^22 kg

R = 382171 km = 382171000 m

Then the gravitational force is:

F = 6.6x10^-11 m^3*/(kg*s^2)*(5.9742x10^24 kg)*(7.36x10^22 kg)/(382171000 m)^2

F = 1.987x10^20 N

A battery of emf 24v and terminal resistance 4 ohms is connected to a resistor of 32 ohms. What is the terminal pd of the battery?​

Answers

Answer:

21.3V

Explanation:

Explanation

E = V + Ir

V = E- Ir

V = 24 - {(24/36) x 4}

V = 21.3V

After measurements or observations are made in a scientific investigation, it is most appropriate to
A.
formulate a hypothesis.
B.
draw a conclusion.
C.
organize the data in a chart or table.
D.
propose a new scientific question.

Answers

Answer:

The real answer is C : organize the data in a chart or a table.

How many significant figures? 53,598 m/sec

Answers

Answer:

This has 5 significant figures.

You use a knife to cut a piece of bread. What kind of simple machine are you
using?
A. Wedge
B. Inclined plane
C. Screw
O D. Lever

Answers

Answer:

the answer is A.) Wedge

A knife to cut a piece of bread is a A. Wedge

What is a simple machine?

A simple machine, any of several devices with few or no moving parts that are used to modify motion and the magnitude of a force in order to perform work.

since , a wedge is a simple machine  with two inclined planes which when put together forms a sharped edge, which forms a triangular shaped tool which can be used to separate portion of  two objects .

hence , a knife to cut a piece of bread is a A. Wedge

learn more about simple machine

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Which value is NOT equivalent to the others?

Multiple choice question.

A)
5 × 1011 nm


B)
0.5 km


C)
500 m


D)
5000 cm

Answers

Answer:

A) 5 × 1011nm

I think It's A

1. A baseball is thrown horizontally at 45 m/s. The ball slows down at a rate of 5 m/s?


a. How long is the ball in the air before coming to rest?


b. How far did the ball travel in that time?


2. A car starts from rest and accelerates at 9.54 m/s? for 6.5 seconds.


a. How much distance was covered by the car?


b. What was the final velocity of the car?


3. An arrow leaves a bow with a speed of 42 m/s. Its velocity is reduced to 34 m/s by the time it

hits its target


a. What was the acceleration of the arrow?


b. How much distance did the arrow travel over if it were in the air for 2.4 seconds?


c. What was the average velocity of the arrow?


4. A ball starts from rest and rolls down a hill with a constant acceleration of 3.0 m/s?.


a. What is its speed at the end of 4.0 s?


b. How far did the ball move in that 4.0 s?

Answers

Answer:

Explanation:

a )

initial velocity u = 45 m/s

acceleration a = - 5 m/s²

final velocity v = 0

v = u - at

0 = 45 - 5 t

t = 9 s

b )

s = ut - 1/2 at²

= 45 x 9 - .5 x5x 9²

405 - 202.5

202.5 m

2 )

a )

s = ut + 1/2 a t²

u = 0

s = 1/2 at²

= .5 x 9.54 x 6.5²

= 201.5 m

b )

v = u + at

= 0 + 9.54 x 6.5

= 62.01 m / s

3

a )

acceleration = (v - u) / t

= (34 - 42) / 2.4

= - 3.33 m /s²

b )

v² = u² - 2 a s

34² = 42² - 2 x 3.33² s

s = 27.41 m

c )

Average velocity

Total displacement / time

= 27.41 / 2.4

= 11.42 m /s

4 )

a )

v = u + at

v = 0 + 3 x 4

= 12 m /s

b )

s = ut + 1/2 a t²

= o + .5 x 3 x 4²

= 24 m

What does the color of a star indicate

Answers

Answer:

Its temperature

Explanation:

Answer:

The stars age

Explanation:

As stars age, they run out of hydrogen to burn, decreasing the amount of energy they give off. So the younger stars can look bluer while older ones look more red.

Hope this helps :3

a) Gamma Rays
b) X-Rays
c) Visible Light
d) Microwaves

Answers

Answer:

A. Gamma rays

or D. microwaves

Explanation:

correct me if i am wrong


If you apply a net force of 3 N on 100g -box, what is the acceleration of
the box? *
30 m/s/s
20 m/s/s
10 m/s/s
5 m/s/s

Answers

Answer:

I believe the correct answer is 30m/s/s

Which force is the strongest force inside an atom?
O A. Strong nuclear
B. Electromagnetic
C. Gravity
D. Weak nuclear

Answers

Inside an atom, the strongest force is the Strong Nuclear Force, indicated by option A.

The strong nuclear force is one of the fundamental forces of nature and plays a crucial role in binding the subatomic particles, specifically protons and neutrons, within the atomic nucleus.

The strong nuclear force is responsible for overcoming the electrostatic repulsion between positively charged protons in the nucleus. It acts over extremely short distances, on the order of femtometers (10^-15 meters), and is characterized by its strength and short range. It is about 100 times stronger than the electromagnetic force, which is responsible for the interaction between charged particles.

The electromagnetic force, option B, is the second strongest force inside an atom. It is responsible for the interaction between charged particles, such as electrons and protons. The electromagnetic force is involved in holding the electrons in orbit around the nucleus and determines the chemical properties of atoms.

Gravity, option C, is the weakest force among the fundamental forces. While gravity plays a significant role on a macroscopic scale, such as the gravitational attraction between planets or objects on Earth, its influence at the atomic level is negligible compared to the strong nuclear and electromagnetic forces.

The weak nuclear force, option D, is another fundamental force, but it is responsible for processes such as radioactive decay and neutrino interactions. While it is involved in certain nuclear reactions, it is not as strong as the strong nuclear force.

In summary, the strong nuclear force is the strongest force inside an atom, overcoming the electrostatic repulsion between protons and binding the atomic nucleus together. Option A.

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Does the mean molecular speed change as much as the temperature as the water heats up?

Answers

For each degree of temperature change, the mean molecular speed increases by about 1 m/s. At 100 °C, the mean molecular speed is about 17% faster than at 0 °C.

PLEASE HELP I’ll GIVE BRAINLIEST
Equi-potential surface are surface that are………
Select one:
a. zero
b. the same electric potential
c. different electric potential
d. not dependent on constant radius

Answers

Answer:

b is the answer

Explanation:

The surface which is the locus of all points which are at the same potential is known as the equipotential surface.

The surface which is the locus of all points which are at the same potential is known as the equipotential surface.In other words, any surface with the same electric potential at every point is termed as an equipotential surface.

B is the answer gggggggg
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