At a picnic, there is a contest in which hoses are used to shoot water at a beach ball from three different directions. As a result, three forces act on the ball, F1, F2, and F3. The magnitudes of F1 and F2 are F1=50.0N and F2=90.0N. F1 acts under the angle of 60degrees with respect to the x axis and F2 is directed along the x-axis. Find the magnitude and direction of F3 such that the resultant force acting on the ball is zero.

Answers

Answer 1

Answer:

F₃ = 122.88 N

θ₃ = 20.63°

Explanation:

First we find the components of F₁:

For x-component:

F₁ₓ = F₁ Cos θ₁

F₁ₓ = (50 N) Cos 60°

F₁ₓ = 25 N

For y-component:

F₁y = F₁ Sin θ₁

F₁y = (50 N) Sin 60°

F₁y = 43.3 N

Now, for F₂. As, F₂ acts along x-axis. Therefore, its y-component will be zero and its x-xomponent will be equal to the magnitude of force itself:

F₂ₓ = F₂ = 90 N

F₂y = 0 N

Now, for the resultant force on ball to be zero, the sum of x-components of the forces and the sum of the y-component of the forces must also be equal to zero:

F₁ₓ + F₂ₓ + F₃ₓ = 0 N

25 N + 90 N + F₃ₓ = 0 N

F₃ₓ = - 115 N

for y-components:

F₁y + F₂y + F₃y = 0 N

43.3 N + 0 N + F₃y = 0 N

F₃y = - 43.3 N

Now, the magnitude of F₃ can be found as:

F₃ = √F₃ₓ² + F₃y²

F₃ = √[(- 115 N)² + (- 43.3 N)²]

F₃ = 122.88 N

and the direction is given as:

θ₃ = tan⁻¹(F₃y/F₃ₓ) = tan⁻¹(-43.3 N/-115 N)

θ₃ = 20.63°


Related Questions

The photo shows two yeast cells. Each cell is an individual organism. Which sentence best describes what happened to each cell during cell growth?


A. It will become many different cells.

B. It will produce offspring with a mate.

C. It will divide in half to form two new cells.

D. It will become larger by taking in nutrients.

Answers

The answer is option c - It will divide in half to form two new cells..

Explanation:

The sentence that best describes what happened during cell growth is ;

( D ) It will become larger by taking in nutrients

As the yeast cells begin to grow ( i.e. cell growth ), they will require more nutrients and as they take in the necessary nutrients they will gradually increase in size ( becoming larger ) which is a vital sign of cell growth and development, which will be seen in the yeast cells as they undergo cell growth.

The production of offsprings with a mate does not describe an activity that occurs in cell growth.  

Hence we can conclude that The sentence that best describes what happened during cell growth is, It will become larger by taking in nutrients.

Learn more : https://brainly.com/question/24893507

Type the most appropriate SI base unit (with a specific prefix as needed) for expressing each of the following.?(a) the mass of a sports car (b) the distance from your home to your school (c) the mass of an elephant (d) the diameter of a large pizza (e) a semester at your school (f) the time it takes for light to travel from the sun to the earth (g) the time it takes to fly from New York to California (h) your mass (i) the length of the Prime Meridian (j) your height

Answers

Answer:

Explanation:

Standard International (SI) units of measurement is the acceptable global units of measure for physical quantities. they are majorly fundamental units.

Thus,

(a) The mass of a sport car is measured in kilograms (kg).

(b) The distance from your home to your school is measured in meters (m).

(c) The mass of an elephant is measured in kilograms (kg).

(d) The diameter of a large pizza is measure in meters (m).

(e) A semester at your school is measured in weeks.

(f) The time for light to travel from the sun to the earth is expressed in seconds (s).

(g) The time it takes to fly from New York to California is in seconds (s).

(h) Your mass is measured in kilograms (kg).

(i) The length of the Prime Meridian is expressed in meters (m).

(j) Your height is expressed in meters (m).

how much force must be applied to accelerate a 3 kg remote control car from rest to 10 m/s in 5 seconds

Answers

10/5 = 2 m/s^2
F =ma = 3 x 2 = 6 N

angela runs and slides across an icy path in her driveway. she comes to a stop because of friction. which free-body diagram shows her while she is sliding?

Answers

Answer: C

Explanation: You always have weight pushing down and natural force pushing up to neutralize those forces. The you add in friction and that’s how you find the answer. Plus I got it right in my quiz

In a drag race, a car takes off from rest and covers 375 meters in 5 seconds. What is the
final velocity?

Answers

Explanation:

s = ut + 1/2 a t^2

375 = 0 * 5 + 1/2 * a * (5)^2

375 = 1/2 * a * 25

a = 375*2/25

a = 15* 2

a = 30m/sec^2

v = u + at

v = 0 + 30 * 5

v = 150 m/sec

hope it helps you

What is called gravitational potential energy?

Answers

Answer:

Potential gravitational energy is the energy that the body has due to the Earth's gravitational attraction. In this way, the potential gravitational energy depends on the position of the body in relation to a reference level.

Explanation:

Identify the 3 types of energy transfer shown in the diagram.

Answers

Answer:

1.Conduction.

2.Convection.

3.Radiation.

Explanation:

I'm sure it's correct

How fast can Usain Bolt run if it takes him 9.9 s to run 100m?​

Answers

Answer:

27.8 mph

Explanation:

May I have brainliest please? :)

the formula for speed is speed=distance/time therefore it would be speed=100/9.9 which would make his speed 10.1010101m/s

PLEASE HELP IF YOU KNOW THE ANSWER QUICK PLEASE!!!

Answers

Answer:

d

Explanation:

My Lou Vee Air Car's propeller rotates, but it does not move the car forward. Can someone please help?? This is due on Monday!

Answers

Answer:

The force to get the plane moving, and to balance the friction so it does not stop, is provided by the propeller. However, the wheels provide the acceleration of the car.

Explanation:

A machine that operates a ride at the fair requires 2500 J to lift a 294 N child 5.0 m. What is the efficiency of this machine?

Answers

Answer:

η = 58.8%

Explanation:

Work is defined as the force applied by the distance traveled by the body.

[tex]W =F*d[/tex]

where:

W = work [J] (units of joules)

F = force = 294 [N]

d = distance = 5 [m]

[tex]W = 294*5\\W = 1470 [J]\\[/tex]

Efficiency is defined as the energy required to perform an activity in relation to the energy actually added to perform some activity. This can be better understood by means of the following equation.

[tex]efficiency = W_{done}/W_{required}\\efficiency = 1470/2500\\efficiency = 0.588 = 58.8%[/tex]

The force of 5N south acts concurrently with force of 5N 30 degrees South of East

A. Draw the diagram - TAIL to TAIL

B. Label both vectors (see page one for example)

C. Draw and LABEL the resultant and equilibrant

D.Find the magnitude and direction of the resultant and equilibrant


(scale: 1cm = 1N)

Answers

Answer:

The magnitude and direction of the resultant is 8.66 N and [tex]60^{\circ}[/tex] south of East.

The magnitude and direction the equilibrant is 8.66 N and [tex]60^{\circ}[/tex] North of West respectively.

Explanation:

Let

[tex]P=5\ \text{N}\ \text{south}[/tex]

[tex]Q=5\ \text{N}\ 30^{\circ}\ \text{south of east}[/tex]

[tex]\theta[/tex] = Angle between P and Q = [tex]60^{\circ}[/tex]

Magnitude of resultant

[tex]R=\sqrt{P^2+Q^2+2PQ\cos\theta}\\\Rightarrow R=\sqrt{5^2+5^2+2\times 5\times 5\cos60^{\circ}}\\\Rightarrow R=8.66\ \text{N}[/tex]

Direction is given by

[tex]\theta=\tan^{-1}\dfrac{Q\sin\theta}{P+Q\sin\theta}\\\Rightarrow \theta=\tan^{-1}\dfrac{5\sin60^{\circ}}{5+5\sin60^{\circ}}\\\Rightarrow \theta=30^{\circ}[/tex]

The magnitude and direction of the resultant is 8.66 N and [tex]30^{\circ}+30^{\circ}=60^{\circ}[/tex] south of East.

The magnitude and direction the equilibrant is 8.66 N and [tex]60^{\circ}[/tex] North of West.

How did einstines and Newton’s theory’s differ in terms of explaining the cause of gravity

Answers

Answer: in the Newton concluded that objects fall because they are pulled by Earth's gravity. Einstein's interpretation was that these objects do not fall.

Explanation: These objects and Earth just freely move in a curved spacetime and this curvature is induced by mass and energy of these objects. - I HOPE THAT HELPED!!

La motocicleta que tiene el récord mundial de aceleración es una motocicleta eléctrica, llamada "Killacycle" la cual permite pasar de 0 Km/h a 100 km/h en tan solo 1.5 s ¿Cuál es la aceleración media de esta motocicleta?

Answers

Answer:

[tex]a=18.51\ m/s^2[/tex]

Explanation:

Given that,

Initial speed, u = 0 km/h

Final speed, v = 100 km/h = 27.77 m/s

Time, t = 1.5 s

We need to find the average acceleration of this motorcycle. It is equal to the rate of change of velocity and it is given by :

[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{v}{t}\\\\a=\dfrac{27.77\ m}{1.5\ s}\\\\a=18.51\ m/s^2[/tex]

So, the acceleration of the motorcycle is [tex]18.51\ m/s^2[/tex].

A force of 20 N acts on an object with a mass of 5 kg. What is the acceleration of the object?​

Answers

Answer:

4m/s²

Explanation:

according to newton's second law of motion F=m×a

thus, acceleration = Force/mass

= 20/5. = 4 m/s² is the total acceleration

hope it helps:)

Help plz will give brainliest

Answers

Answer:

The forces acting on the root beer is the ice cream. This means that the 'air' in the ice cream keeps it at the top of the root beer enabling it to float right at the top.

In a perfectly insulated container of negligible mass, 4.00 × 10−2 kg of steam at 100◦C and atmospheric pressure is added to 0.200 kg of water at 50.0◦C.
A) If no heat is lost to the surroundings, what is the final temperature of the system? B) At the final temperature, how many kilograms are there of steam and how many of liquid water?

Answers

Answer:

Following are the solution to this question:

Explanation:

Given value:

[tex]m_s= 4.00 \times 10^{-2} \ kg \\\\L_v=2256 \times 10^{3} \ \frac{J}{kg}\\\\m_w= 0.2 \ kg\\\\\Delta T= 50^{\circ}[/tex]

In point A:

[tex]Q_{Steam}=m_s \ L_v[/tex]

            [tex]=0.04 \times 2256 \times 10^{3}\\\\=9.02 \times 10^4 \ J[/tex]

[tex]Q_{water}= m_w \ c_w \ \Delta T\\\\[/tex]

           [tex]=0.2 \times 4190 \times 50\\\\=4.19 \times 10^4 \ J[/tex]

[tex]Q_{steam}> Q_{water}[/tex], that's why the final temperature is [tex]= 100^{\circ}[/tex]

In point B:

[tex]\to \Delta m_s L_v=m_w\ c_w \Delta T\\\\\to \Delta m_s \times 2256\times 10^3= 0.2 \times 4190 \times 50\\\\\to \Delta m_s= 1.86 \times 10^{-2} \ kg\\\\\to m_s = 2.14 \times 10^{-2} \ kg\\\\\to liquid \ left = 0.2+ 2.14 \times 10^{-2} = 2.34 \times 10^{-2} \\[/tex]

If a rock is dropped from the top of a tower at the front of it and takes 3.6 seconds to hit the ground. Calculate the final velocity of the penny in m/s. What is the height of the tower?

Answers

Answer:

35.28m/s; 63.50m

Explanation:

Given the following data;

Time, t = 3.6 secs

Since it's a free fall, acceleration due to gravity = 9.8m/s²

Initial velocity, u = 0

To find the final velocity, we would use the first equation of motion;

[tex] V = u + at[/tex]

Substituting into the equation, we have;

[tex] V = 0 + 9.8 * 3.6[/tex]

V = 35.28m/s

Therefore, the final velocity of the penny is 35.28m/s.

To find the height, we would use the second equation of motion;

[tex] S = ut + \frac {1}{2}at^{2}[/tex]

Substituting the values into the equation;

[tex] S = 0(3.6) + \frac {1}{2}*9.8*(3.6)^{2}[/tex]

[tex] S = 0 + 4.9*12.86[/tex]

[tex] S = 0.5 *36[/tex]

S = 63.50m

Therefore, the height of the tower is 63.50m.

Why is the Earth generally warmer at the equator than at the poles?

Answers

Because of the earths curve and temperature. The temperature in an area depends on the amount of the Sun's energy reaching the surface in that area. The equator tilts closer to the sun than the poles do. I hope this helps!

Answer: The Sun's energy is more concentrated on the equator than the poles. This is because the Sun's energy (in the form of warmth) is more direct at the equator, and less direct at the poles.

Explanation: You can see this with a flashlight. When you point the flashlight directly toward a tale, the light is very concentrated and right. However, when you point the flashlight toward the table at an angle, the light becomes more spread out and less concentrated.  This is why even though sometimes the North Poles and South Poles have 24 hours of sunlight, it never actually reaches a high temperature and instead, keeps it's cold temperature.

8. An object has a force applied. The object has a mass of 36 Kg and accelerates at 3.4 m/sec2. What is the force acting on the object? *
a. 120.6 N
b. 126.9 N
c. 122.4 N
d. 118.3 N

Answers

Answer:

122.4

Explanation:

3. What is the velocity of a wave that has a frequency of 750 Hz and a wavelength of 45.7 cm?

Answers

Explanation:

v=(750)(45.7)

v=34275

or

v=(750)(0.457)

v=342.75

In which of the two following cases would you recommend winnowing ?
Case 1 : when lighter part of the mixture is useful and the husk is unwanted
Case 2 : when lighter part of the mixture is unwanted and the husk is useful

Answers

[tex]{\green{\underline{\textsf{\textbf{Case 2 :When lighter part of a mixture is unwanted and the husk is useful. }}}}}[/tex]

[tex]{\green{\underline{\textsf{\textbf{Explanation : }}}}}[/tex]

As we know that, Winnowing is used when the lighter particles is required to remove. Hence, in Case 2 the lighter part is removed and the remaining is needed.

A net force of 15 N is exerted on an encyclopedia to cause it to accelerate at a rate of 5 m/s2. Determine the mass of the encyclopedia.

Answers

Answer:

3 kg

Explanation:

The mass of the encyclopedia can be found by using the formula

[tex]m = \frac{f}{a} \\ [/tex]

f is the force

a is the acceleration

From the question we have

[tex]m = \frac{15}{5} \\ [/tex]

We have the final answer as

3 kg

Hope this helps you

Explain why when a firefighter rescues a dog that has fallen through ice on a
lake, they put their ladder on the ice first and then crawl out to the dog on the
ladder.

Answers

Answer:

This can spread their weight.

Explanation:

The ladder has a much larger surface area than the firefighter. Hence, his weight is spread out much more than usual, decreasing the pressure on the ice, preventing the ice from breaking/cracking.

Hope this helped!

The answer is: it can spread their weight

10. Scientists created models that show a rocky asteroid crashing into a moon (less mass) a
planet (more mass). In both crashes, the asteroid was the same mass. Scientists want to kno
happened to the asteroid. Use the information in the diagram to answer.
In which crash did the asteroid experience a stronger force? How do you know?
a
Crash 2; the force on the planet was stronger in this crash, so the force on the astero
also stronger.
There was no force on the asteroid. Only the moon and planet experienced a force in

Answers

Answer:

The diagram doesn’t tell you anything about the force on the asteroid. It only gives information about the force on the planet and the moon.

Explanation:

what is the helmet for

Answers

Answer:

Explanation:

a helmet is used for our safety this  piece of equipment is used to protect us from getting any injury's on our heads such as concussions getting a cut on your head etc.

A motorbike is traveling to the left with a speed of 27.0 m s 27.0 s m ​ 27, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction when the rider slams on the brakes. The bike skids 41.5 m 41.5m41, point, 5, start text, m, end text with constant acceleration before it comes to a stop. What was the acceleration of the motorbike as it came to a stop?

Answers

Answer:

Explanation:

Initial velocity , u = 27 m/s

displacement before stop,  s = 41.5 m .

final velocity,  v = 0

acceleration a = ?

v² = u² + 2 a s

0 = 27² + 2 x a x 41.5

a = - 27² / 2 x 41.5

= - 8.78 m /s

A tennis ball is beaten downward with an initial speed of 5 m/s.
How fast, in m/s, is the ball falling after 3 seconds (neglect air
friction, so g = 9.8 m/s2)?

a 34.4
b 34.4
C 9.8
d 9.8
e 5

Answers

Answer:

34.4m/s

Explanation:

Step one:

given data

initial speed u= 5m/s

time t= 3seconds

acceleration due to gravity g= 9.8m/s^2

Required:

the final velocity v

Step two:

applying the first equation of motion

v=u+gt-----------we used + because the ball is falling with gravity

v=5+9.8*3

v=5+29.4

v=34.4

The final velocity is 34.4m/s

Answer:

-34.4

Explanation:

the person above had the right approach but it would be negative as it is in a downwards motion

Please help anyone it would mean a lot and read the question !!

Answers

The resistor would get no voltage (potential difference) because the other pathway has no resistance so all the current will flow through it, which will in turn increase the current to the the lamp which as V=IR the voltage will increase.

please help!!!!!!!!!!

Answers

Answer:

C

Explanation:

three bricks means 3 times the weight, so 6/3=2

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