Three forces act simultaneously on poin J. One force is 10.0 N north; the second is 15.0 N west; the third is 15.0 N 30.0° east of north. Determine the magnitude and direction of the resultant force.​

Answers

Answer 1

The magnitude and direction of the resultant force are 10.0N and 101.36⁰

The sum of force along the force horizontal is expressed as:

[tex]\sum F_x=-15.0N+15cos30\\\sum F_x = -15.0N + 12.99N\\\sum F_x = -2.01N[/tex]

The sum of force along the vertical is expressed as:

[tex]\sum F_y = +10N[/tex]

Calculate the magnitude of the force:

[tex]F=\sqrt{(\sum F_x)^2+(\sum F_y)^2} \\F=\sqrt{(-2.01)^2+(10)^2} \\F=\sqrt{104.0401}\\F= 10.2N[/tex]

Hence the magnitude of the resultant force is 10.2N

Find the direction

[tex]\theta = tan^{-1}\frac{y}{x}\\ \theta = tan^{-1}\frac{10}{-2.01}\\\theta =tan^{-1}(-4.9751)\\\theta =-78.63^0\\\theta = 180-78.63 = 101.36^0[/tex]

Hence the magnitude and direction of the resultant force are 10.0N and 101.36⁰

Learn more here: https://brainly.com/question/24629099


Related Questions

calculate the magnitude of the effort in the given​

Answers

Moment = Force x Distance from pívot
500x0.5=2.5 x effort
250= 2.5 x effort
effort = 250/2.5= 100N

what is the central idea for stacking rocks vertically to test the effects of forces

Answers

Answer:

You can see how forces can stack on one another by comparing the normal force of the bottom most rock to the normal force of the upper most rock.

Explanation:

Say you have 3 rocks all with mass m=3kg

These 3 rocks will all have the gravitational force of -29.4N (multiply 3kg by -9.8m/s^2)

If none of the rocks are stacked, then they all have the same normal force as well (29.4N)

However, stack them, and see how their normal forces change.

m1 will continue to have a normal force of 29.4N

m2 will now have a normal force of 58.8

m3 will now have a normal force of 88.2

Though they all retain the same gravitational force, their normal force changes depending on the forces acting down on them.

Mass 1 have no forces acting downwards other than gravity.

Mass 2 has the force of mass 1 and gravity acting down on it.

Mass 3 has the force of mass 1, mass 2, and gravity acting down on it.

How would these two particle diagrams be classified?

A-) Both are pure substances each containing one type of compound

B-)Both are pure substances containing a mixture of elements

C-) Both are mixtures containing different types of compounds

D-) Both are mixtures containing more than one element

Answers

Answer:

A-) Both are pure substances each containing one type of compound

Which is true for every atom of an element?

A.
It can be seen with a magnifying glass.

B.
It is joined together with another atom.

C.
It has mass and volume.

D.
It is weightless.

Answers

Answer:

A

Explanation:

Every atom of an element has its own mass and volume as the atom is the smallest fundamental unit of the matter, therefore the correct answer is option C.

What is the matter?

Anything which has mass to keep the same when comparing the hardness of the solid and occupies space is known as matter, mainly there are four states of matter solid liquid gases, and plasma.

As given in the problem statement we have to find the true statement from the given options that is true for every atom of an element,

The size of an atom of an element is a very small order of magnitude so it can not be seen with a magnifying glass, therefore, option A is not the correct response.

Thus, every atom of an element has its own mass and volume as the atom is the smallest fundamental unit of the matter, therefore the correct answer is option C.

To learn more about the matter here, refer to the link ;

brainly.com/question/9402776

#SPJ2

please helpppp 12 points

Answers

the amplitude is the height of the waves so wave c is largest and wave d is smallest

write two examples of machine which changes the direction of force​

Answers

Answer:

Washign machine and swingset

Explanation:

Hãy giải đề giúp tui

Answers

Answer:

ở đâu?

Explanation:

................

Rahul is carrying a load of 80 kg along a distance of 200 meters in 5 minutes. But the same load is carried by reena to the same distance in 4 minutes. Who had more power? Also show by calculation .​

Answers

Answer:

Reena

Explanation:

200 / 5 = 40 metres in a minute

200 / 4 = 50 metres in a minute,

Therefore Reena is faster

Lúc 7h sáng một xe xuất phát từ Bình Minh ra siêu thị Metro Hà Đông cách nhau 9,6km. Trên đoạn đường từ Bình Minh đến ngã ba Ba La cách nhau 7,2km xe đi với vận tốc 10m/s. Trên đoạn đường từ ngã ba Ba La đến Metro xe đi mất 3,2 phút.
a. Xác định thời gian xe đi đến siêu thị ? thời điểm xe đi đến siêu thị ?
b. Tính vận tốc trung bình của xe trên cả quãng đường từ Bình Minh đến siêu thị Metro Hà Đông ?

Answers

can u type in english?????

What did Dr Allan McInnes say was required in order to launch a satellite into space, at the necessary altitude and speed? What is required and why?

Answers

Dr Allan McInnes explains why satellites need large rockets to launch them into orbit and why many satellites are launched from near the equator it’s because Satellites need to be placed in orbit high above the Earth’s atmosphere so that the drag of the atmospheric gases doesn’t make the orbiting satellite slow down.

An altitude of 100 km has been adopted by the United Nations as a working definition of where the Earth’s atmosphere ends and space begins.

An object is known to have balanced forces on it. Which of the following would be a true statement?

Answers

If an object has a balanced force on it, there is a possibility that the object may be in a position i.e. there is no change in speed and direction of the body.

If the forces acting on an object is balanced, it means that the net force acting on the body is zero.

According to Newton's law of motion, an object will continue in a state of motion in a straight line unless acted upon by an external force.

This external force might be a balanced or unbalanced force. Hence if an object has a balanced force on it, there is a possibility that the object may be in a position i.e. there is no change in speed and direction of the body.

Learn more here: https://brainly.com/question/20835245

a tennis ball is launched from the floor at a velocity of 90 m/a at an angle of 13 degrees to the horizontal. calculate its range

Answers

Answer:

~186

Explanation:

1) R= (V^2 × sin A ) /g

V=90 m/a

A= 13°

g= 9.8 or 10 (I will take 9.8 for right result)

R= (90^2 × sin 13) / 9.8 = 185.928932672 ~ 186

Which situation would create a field like the one shown here?

Answers

huh? what situation??

the energy released by a nuclear fusion reaction is produced when

Answers

Answer:

atoms combine

Explanation:

WHAT IS THE VOLUME OF A 5.71 G PLASTIC CUBE THAT HAS A DENSITY OF 1.15 G/CM3

Answers

Answer:4.96[tex]cm^{3}[/tex]

Explanation: Density is [tex]\frac{Mass}{Volume}[/tex]

so you are now looking for volume.

Volume= Density x Mass so

Volume = (5.78g) x(1.15g/ [tex]cm^{3} \frac{x}{y}[/tex]) =4.96[tex]cm^{3}[/tex]

If the wind is blowing from north to south, where are the areas of high and low pressure?

Answers

Answer:

Wind is caused by differences in the atmospheric pressure. When a difference in atmospheric pressure exists, air moves from the higher to the lower pressure area, resulting in winds of various speeds.

Our Earth is a rotating planet. Fast moving air is deflected by the Coriolis effect, except exactly on the equator. This defines the direction of cyclones, hurricanes, and typhoons rotation. The wind flow around a large cyclone is counterclockwise in the Northern Hemisphere and clockwise in the Southern Hemisphere.

Wind forms when the sun heats one part of the atmosphere differently than another part. This causes expansion of warmer air, making less pressure where it is warm than where it is cooler. Air always moves from high pressure to lower pressure, and this movement of air is wind.

The high is west of you, and the low is east of you. (If you're in the northern Hemisphere.)

Can someone please help me​

Answers

Answer:C (198 seconds)

Explanation: The cyclist makes the first lap in (180.00 - 6.00) = 174.00 seconds. The average time per lap for all three circuits is (600.00 - 6.00) = 594/3 = 198 seconds.

why is the saturated lapse rate less than the dry adiabatic lapse rate?

Answers

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Explanation:

Lifting a saturated package causes it to expand and cool, resulting in vapour condensation. Condensation will release latent heat, partially counteracting the cooling. As a result, a saturated parcel's adiabatic lapse rate is smaller than an unsaturated parcel's.

Because moist air ascending condenses off its water vapour, the moist adiabatic lapse rate is lower than the dry adiabatic lapse rate (once saturation is attained). The air is considered to be saturated when the dew point temperature and air temperature are identical.

A force unit is defined as the product of a mass unit and a unit of

acceleration.


time.


velocity.

displacement.

Answers

Answer:

A force unit is defined as the product of a mass unit and a unit of acceleration.

Answer:

Force can be defined as a push or a pull that changes or tends to change the state of rest or uniform motion of an object or changes the direction or shape of an object.

Explanation:

Force = M (Mass) * A (Acceleration)

The SI unit of Mass = KG

S.I. unit of acceleration is m/sec/sec = m/sec2

Hence, Unit of force is Kg m/Sec2

Since force is used so often, S. I. gives this unit a special name:

1 Newton = 1 kg m/sec2

Please Help with Acceleration graphs

Answers

Negative velocity indicates direction so on number 6 part a is moving away from starting point (positive velocity) and part c is moving toward/back to starting point (negative velocity)

Convert: 8 mm: ____________ cm

Answers

-1^10

centi=10 mm and mm=1/10=10^-1 cm

a proton, moving east, enters a magnetic field of a certain strength. because of this field the proton curves downward. what is the direction of the magnetic field?

Answers

Answer:

F = q V X B

Using the right hand rule (right hand screw) turn V into B to get direction of force which in this case is down

If V is east and F is down then one can see that B must be directed towards  the south - turn V into B (south) and F will be directed downwards.

A 250 g sample of water with an initial temp of 98.8 c loses 7500 joules of heat. What is the final temperature of the water?

Answers

The final temperature of the water is 106.0 °C

From the question,

We are to determine the final temperature of water.

From the formula

Q =mcΔT

Where Q is the quantity of heat

m is the mass of substance

c is the specific heat capacity of substance

and ΔT is the change in temperature

Also,

ΔT = T₂ - T₁

Where T₂ is the final temperature

and T₁ is the initial temperature

Then, the formula can be written as

Q =mc(T₂ - T₁)

From the question

Q = 7500 J

m = 250 g

T₁ = 98.8 °C

Putting the parameters into the formula, we get

7500 = 250 × 4.184 (T₂ - 98.8)

(NOTE: specific heat capacity of water, c,= 4.184 J/g °C)

7500 = 1046 (T₂ - 98.8)

7500 = 1046T₂ - 103344.8

Then,

1046T₂ = 7500 + 103344.8

1046T₂ = 110844.8

∴ T₂ = 110844.8 ÷ 1046

T₂ = 105.9701 °C

T₂ ≅ 106.0 °C

Hence, the final temperature of the water is 106.0 °C.

Learn more here: https://brainly.com/question/13439286

Can somebody help meeeee...?​

Answers

Answer:

[tex]{ \boxed{ \rm{pressure = \frac{weight}{area} }}} \\ \\ { \rm{pressure = \frac{200}{2} }} \\ \\ { \underline{ \underline{ \rm{ \: \: pressure = 100 \: pascals \: \: }}}}[/tex]

An automobile travels the first half of an 80.0 mi trip at 20.0 mi/h and the second half of the trip at 40.0 mi/h. What is the average speed for the entire trip?

Answers

This question involves the concepts of uniform speed motion and average speed.

The average speed for the entire trip is "26.67 mi/h".

First, we need to find out the total time taken for the entire trip. For that purpose, we will break the entire trip into two halves of uniform speed motion:

[tex]Total\ Time = t_1+t_2\\\\Total\ Time = \frac{s_1}{v_1}+\frac{s_2}{v_2}\\\\Total\ Time = \frac{40\ mi}{20\ mi/h}+\frac{40\ mi}{40\ mi/h}\\\\Total\ Time = 2\ h + 1\ h\\Total\ Time = 3\ h[/tex]

Now, the average speed for the entire trip will be:

[tex]Average\ Speed = \frac{Total\ Distance}{Total\ Time}\\\\Average\ Speed =\frac{80\ mi}{3\ h}[/tex]

Average Speed = 26.67 mi/h

Learn more about average speed here:

https://brainly.com/question/12322912?referrer=searchResults

The attached picture explains the concept of average speed.

Will give brainiest if right

Answers

The answer would be C

An book fell from a shelf 1.5 meters from the ground. If it took the book 3 seconds to hit the ground, what was the velocity of the book?

Answers

The initial velocity of the book before its hits the ground is 14.2 m/s.

The given parameters;

height of the book above the ground, h = 1.5 mtime of motion of the book, t = 3 seconds

The initial velocity of the book is calculated as follows;

h = ut + ¹/₂gt²

where;

u is the velocity of the book

1.5 = 3u + (0.5 x 9.8 x 3²)

1.5 = 3u + 44.1

3u = 1.5 - 44.1

3u = -42.6

[tex]u = \frac{-42.6}{3} \\\\u = -14.2 \ m/s\\\\u = 14.2 \ m/s \ downwards[/tex]

Thus, the initial velocity of the book before its hits the ground is 14.2 m/s.

Learn more here:https://brainly.com/question/17784708

Tìm quãng đường đi được
Biết V0=4m/s , a=1m/s , t=5s

Answers

Answer:

hii bee bbtym tayo as a friend huhuhuhu

4. As Juan is going to take a shower, the soap falls out of the soap dish on to the

floor and Juan steps on it with a force of 493 N. If Juan slides forward and the

frictional force between the soap and the shower floor is 40 N, what is the

coefficient of friction between the soap and the floor? *

Your answer

Answers

The coefficient of friction between the soap and the floor is 0.081

If Juan steps on the soap with a force of 493 N, this is her weight, W. This weight also equals the normal reaction on the floor, N.

We know that frictional force F = μN where μ = coefficient of friction between soap and floor.

So, μ = F/N

Since F = 40 N and N = W = 493 N,

μ = F/N

μ = 40 N/493 N

μ = 0.081

So, the coefficient of friction between the soap and the floor is 0.081

Learn more about coefficient of friction here:

https://brainly.com/question/13923375

When a 12 newton horizontal force is applied to a box on a horizontal
table top, the box remains at rest. The force of static friction acting on
the box is .....

Answers

The force of static friction acting on  the box is greater than the applied horizontal force.

Force is known to be the reason for motion according to Newton's first law of motion. An object will move when it has been acted upon by an external force.

In this case, a box lying on a table has been acted upon by an external force of  12 newton but the box remains at rest. This simply means that the applied force is less than the force of static friction acting on  the box.

Learn more about motion: https://brainly.com/question/8898885

Other Questions
Write equation in slope intercept from of the line What is another name for Islamic Law? Question 1 of 10Which of the following sentences is most clearly describing a theme?A Imagination is more important than intellect.B. Dark Shadows lay across the path like the bars of a cage.o0The golden feather represents Mrs. Whitherby's soul.D The Second World War lasted from 1939 to 1945.SUBMIt [tex]\frac { a } { ( a - b ) ( a - c ) } + \frac { b } { ( b - c ) ( b - a ) } + \frac { c } { ( c - a ) ( c - b ) }[/tex]the formula is the question pleaseee helppp quickkk Describe the social environment of a person. ANSWER FAST !!!! FAST ANSWRS Fill in the blanks:transcriptiontranslationDNAMatch the DNA bases with itscomplementary mRNA base:in DNA: in mRNA:ATGEUConstruct a complementary mRNA strandof the following strand of DNA:AGC TCA CTG kung pilipino ka at naiintindihan mo ito sagutin mo ang tanong ko:kamusta ka na kaibigan?isagot mo ang tunay mong kalagayan kung ayos ka lang ba o hindi20 points para sa mga pilipino katulad ko Charles has read 180 pages of a book. This is of the total number of pages in the book. If p represents the number of pages in the book, what is p? i will give brainliest please help Please help. Point M is the mid-point of PQ. The coordinates of P and M are given below. M (5, -2) and P (11, -10) Based on the information given, what is the coordinates of Q? Select the correct answer. What is the slope of the line that goes through the points (-4,1) and (4,-5)? A. -4/3B. -3/4C. 3/4D. 4/3 Betty was charged 15 1/2% interest for the yearon her loan of 2 400. James was charged 12% interest for the year on his loan of 4 000.How much more interest did James pay for theyear?HELP PLEASE The interaction of supply and demandexplainsA) both the prices and the quantities ofgoods and services.B) the quantities of goods and servicesbut not their prices.C) the prices of goods and services butnot their quantities.D) neither the prices nor the quantitiesof goods and services. PLEASEEEEE HEELP MEEEE DO THIS WORK THANK U! Subtract and simplify if can. Show all work ! 7/12 - 3/4 = ? Show steps. The sum of 8th term of an A.P is 160 while to sum of the 20th term is 880. Find the 43rd term convert -13F into (a) C (b) kelvin Matt est jugando en un juego gana 7 puntos pierde 10 puntos luego vuelve a ganar 2 puntos y luego pierde 8 puntos Cul es su puntuacin final ? Simplify to create an equivalent expression.-3(2+4k)+7(2k-1)Choose 1 answer:A2k-13B8k-13C2k+13D2k-7 5/8-(1/4) to the power of 2