Consider three force vectors F~ 1 with magnitude 43 N and direction 38◦ , F~ 2 with magnitude 26 N and direction −140◦ , and F~ 3 with magnitude 27 N and direction 110◦ . All direction angles θ are measured from the positive x axis: counter-clockwise for θ > 0 and clockwise for θ < 0. What is the magnitude F of the net force vector F~ = F~ 1 + F~ 2 + F~ 3? Answer in units of N.

Answers

Answer 1

Answer:

34.70 N

Explanation:

Given :

F~ 1 = 43 N in direction 38◦

F~ 2 = 26 N in direction −140◦

F~ 3 = 27 N in direction 110◦

Therefore,

F~x = 43 cos (38) + 26 cos (-140) + 27 cos (110)

      = 43  (0.7) + 26  (-0.7) + 27  (-0.3)

      =  3.8

F~y = 43 sin (38) + 26 sin (-140) + 27 sin (110)

      = 43  (0.6) + 26  (-0.6) + 27  (0.9)

      = 34.5

so, F~ = [tex]$ \sqrt{3.8^2 + 34.5^2}$[/tex]

          = 34.70 N


Related Questions

An elevator has the mass of 3 tons of power needed to raise the elevator 50m in 15 s?

Answers

Answer:

Mass=3,time=15,height=50,g=10,Power=?.

Power=mgh/t.....3×10×15=1500/15=100Watts.

Answer:

[tex]\huge \boxed{\mathrm{100 \ Watts}}[/tex]

Explanation:

[tex]\sf \displaystyle P=\frac{mgh }{t} \\\\\\ P=power \ (W) \\\\ m=mass \ (kg) \\\\ g=gravity \ acceleration \ (m/s^2) \\\\ h=height \ (m) \\\\ t=time \ taken \ (s)[/tex]

[tex]\sf \displaystyle P=\frac{3 \times 10 \times 50 }{15}[/tex]

[tex]\sf \displaystyle P=\frac{1500 }{15}[/tex]

[tex]\sf \displaystyle P=100[/tex]

3. You are walking at a 1m/s velocity and carrying a tray with a ball at rest on the tray. You come to a brief stop and the ball rolls off the tray. What causes the ball to roll off the tray?
Help ????????????????

Answers

Answer:

Inertia.

Explanation:

You are moving with a speed of 1 m/s. You are carrying a tray and the ball is at rest in the tray. You stops and the ball rolls off the tray. Whenever you starts moving with a speed of 1 m/s and when ball is at rest, due to inertia of motion the ball comes in motion. But when you stops, the ball is still in motion due to its inertia.

Hence, due to inertia the ball roll off the tray.

870 kilograms to pounds

Answers

Answer:

870kg = 1,917.48 lbs

Explanation:

1 kilogram = 2.204 pounds

pounds = 870(2.204)

pounds = 1,917.48

I hope this helps!

-TheBusinessMan

Answer:

1918.35

Explanation:

multiply the value to mass... which is 2.205

so 870×2.205=1918.35

which three metal do you think might be present in alnico explain ? ans which one are magnetic​

Answers

Answer:

Aluminium, Nickel, Cobalt and Iron plus varying levels of Copper, Titanium and Niobium.

MAGNETIC: Alni, Alcomax, Hycomax, Columax, and Ticonal.

If a honeybee is flying 7.0 m/s, what is the kinetic energy (Joules) if its mass is 0.1 g?

Answers

Answer:

KINETIC ENERGY=K.E=0.00245 Joules ≈ 0.003 Joules

Explanation:

mass=m=0.1g=0.0001kg

velocity=v=7.0m/s

kinetic energy=K.E.=?

as we know that

[tex]kinetic energy=\frac{1}{2}mv^2\\ putting values\\kinetic energy=\frac{1}{2}(0.0001kg)(7.0m/s)^2\\ kinetic energy=\frac{1}{2} 0.0049joules\\kinetic energy= 0.00245Newton meter or joules[/tex]

hope it will help ^_^

2500m =_____km
480cm=_______m
75mL=______L
65g=________mg
5.6kg=_______g
50cm=______m
6.3cm=________mm

Answers

Answer:

1.   2.5km

2.  4.8m

3. 0.075 litre

4.  65000mg

5.  5600g

6. 0.5m

7. 63mm

Explanation:

1. 1000m in 1 km so divide by 1000

2. 100cm in m so divide by 100

3. 1000ml in 1l   so divide by 1000

4. multiply the mass value by 1000

5.multiply the mass value by 1000

6. divide the length value by 100

7. multiply the length value by 10

hope this helps

a.
To improve feelings about a poor test result, a student should
Beg the teacher for a second chance at the c. Ask their parents for assistance in persuading
test
the teacher to change a grade
b. Ask for an opportunity to earn extra creditd. All of these
Please select the best answer from the choices provided
A
B
ОООО
С
D

Answers

Answer:

Well, their are two answers in their. It would be Ask their Parent for assistance in persuading and Ask for an opportunity to earn extra credit:)

Explanation:

To improve feelings about a poor test result, a student should ask for an opportunity to earn extra credits. Hence, option D is correct.

How to handle disappointment at result?

Remember that you are so much more valuable than a letter on a piece of paper. Your attitude, personality, and experience are things that future employers, coworkers, teachers, friends, and family are interested in. Even while practicing excellent self-care is always important, having a program in place will help you deal with any anxiety you may be experiencing in the future.

Start with the fundamentals, like eating healthily, Getting your five a day is a fantastic place to start Since it provides your body and brain with all the nutrition they require, and it can help you deal with any cortisol increases (stress). Additionally, ensure you get at least eight hours of sleep each night and consume six to eight glasses of water each.

To improve feelings about a poor test result, a student should ask for an opportunity to earn extra credits. Hence, option D is correct.

Learn more about disappointment with results, here:

https://brainly.com/question/15269128

#SPJ5

QUESTION 5
A small beaker has 50 mL of water in it. A small frog with a mass of 20 grams is dropped into the beaker. The water level rises to 79
mL. What is the density of the frog? (You know the mass of the frog, first find the volume of the frog, then use the density formula to.

Answers

Answer:

0.69 g/cm^3

Explanation:

Given that a small beaker has 50 mL of water in it. A small frog with a mass of 20 grams is dropped into the beaker. The water level rises to 79mL.

The volume of the frog will be:

79 - 50 = 29mL

Convert it to litre by dividing it by 1000

29/1000 = 0.029 L

Since 1L = 1000 cm^3

Convert it to cm^3 by multiplying it by 1000

0.029 × 1000 = 29 cm^3

Density = mass/volume

Substitute the mass and volume into the formula

Density = 20/29

Density = 0.6896 g/cm3

Therefore, the density of the frog is 0.69 g/cm^3 approximately

You serve a volleyball with a mass of 2 kg. The ball leaves your hand with a speed of 30 m/s. What is the KE of the ball? find the product

Answers

Answer:

KE= 900joules, product= 60kgm/s momentum

Explanation:

KE=1/2MV2= 1/2× 2×30×30=900J

PRODUCT= MOMENTUM= 30m/s×2kg= 60kgm/s


An apple is falling from a tree. Disregarding air resistance, which diagram shows the free-body diagram of the force
or forces acting on the apple?

Answers

Answer: Second choice (straight down arrow)

Explanation:

I just did it.

Disregarding air resistance, the diagram showing the free-body diagram of the force or forces acting on the apple is second one.

What is free falling?

When an object is released from rest in free air considering no friction, the motion is depend only on the acceleration due to gravity, g.

Given is an apple is falling from a tree.

When apple is falling down, the gravity will attract the apple towards the center of the Earth. Air resistance is not considered, otherwise it would be acting upwards.

Normal force will not act as apple in not placed on any kind of surface.

So, the only force acting is force of gravity also called as weight of apple.

Thus, the free-body diagram of the force or forces acting on the apple is second one.

Learn more about free falling.

https://brainly.com/question/13299152

#SPJ6

the Velocity Ratio of a single movable Pulley is 2 why​

Answers

In order to lift the load "L" by "X" meters, the effort "E" needs to travel the distance of 2X meters. (The entire rope needs to be pulled by "E" for a distance of 2X.) Since it is a ratio. it has no units of measurement.

1. Black Panther ran 567.6 km to the east in 23 hours then turned around and ran 221.8 km to the west in 1.2 hours. What was his average velocity during the trip in km h?p​

Answers

Answer:

80.08 km/h

Explanation:

Given that Black Panther ran 567.6 km to the east in 23 hours

Velocity = distance covered/time

Substitute the distance covered and time into the formula

Velocity = 567.6/23

Velocity = 24.68 km/h

then turned around and ran 221.8 km to the west in 1.2 hours.

Velocity = 221.8/1.2

Velocity = 184.83 km/h

What was his average velocity during the trip in km/h ?

Average velocity = (V + U)/2

Since the two velocity are opposite to each other, the average velocity will be:

Average velocity = (-24.68 + 184.83)/2

Average velocity = 160.15/2

Average velocity = 80.08 km/h

Therefore, his average velocity during the trip is 80.08 km/h

7 A steel sphere is released from a height
of 9 m on the surface of the Moon. It is
known that the acceleration due to gravity
on the Moon is 1 the acceleration due
6
to gravity on the surface of the Earth.
Calculate the time taken by the sphere to
hit the surface of the Moon.
A 1.8 S
C 3.3 s
B 2.6 s
D 4.2 s​

Answers

Answer:

C 3.3 s

Explanation:

Given:

Δy = 9 m

v₀ = 0 m/s

a = ⅙ (9.8 m/s²) = 1.63 m/s²

Find: t

Δy = v₀ t + ½ at²

9 m = (0 m/s) t + ½ (1.63 m/s²) t²

t = 3.3 s

A truck of mass 500kg moving at 4m/s collides with another truck of mass 1500kg moving in the same direction at 2m/s. What is their common velocity just after the collision if they move off together? PLZ HELP ASAP

Answers

Answer:

m1u1+m2u2=(m1+m2)v.

500×4+1500×2=(500+1500)V.

2000+3000=2000V.

5000=2000V.

V=2.5m/s

A ball is held at rest and then dropped. The final velocity of the ball was 45 m/s just before it hit the ground. How high was the ball when it was dropped?How much time past before the ball hit the ground?

Answers

Answer:

a) y = 103.21 m

b) t = 4.6 s

Explanation:

a) The height at which the balls was is given by:

[tex] V_{f}^{2} = V_{0}^{2} - 2g(y_{f} - y_{0}) [/tex]

Where:

[tex]y_{f}[/tex]: is the final height = 0

[tex]y_{0}[/tex]: is the initial height =?

[tex]V_{f}[/tex]: is the final velocity = 45 m/s

[tex]V_{0}[/tex]: is the initial velocity = 0 (is held at rest

g: is the gravity = 9.81 m/s²          

Hence, the height is:

[tex] y_{0} = \frac{V_{f}^{2}}{2g} = \frac{(45 m/s)^{2}}{2*9.81 m/s^{2}} = 103.21 m [/tex]

b) The time before the ball hit the ground is:

[tex] V_{f} = V_{0} - g*t [/tex]

[tex] t = -\frac{V_{f}}{g} = -\frac{- 45 m/s}{9.81 m/s^{2}} = 4.6 s [/tex]

Therefore, 4.6 seconds passed before the ball hit the ground.

I hope it helps you!  

Now the proton at B is removed and replaced by a lithium nucleus, containing three protons and four neutrons. The proton at location A remains in place. What is the magnitude of the electric force on the lithium nucleus

Answers

The magnitude of the electric force on the electron is 480 x 10⁻¹⁹ N .

How to calculate the magnitude?

|F-->1| =  E-->1 x charge on proton

= 300 x 1.6 x 10⁻¹⁹

Magnitude of the electric force on proton

|F-->1| = 480 x 10⁻¹⁹ N .

Inside the lithium nucleus , there are three protons so charge on it

= 3 x 1.6 x 10⁻¹⁹

= 4.8 x 10⁻¹⁹ C .

The magnitude of electric force on lithium nucleus

|F-->Li|  =   E-->1 x charge on lithium nucleus

= 300 x  4.8 x 10⁻¹⁹

= 1440 x 10⁻¹⁹ N .

Electron has same charge as that possessed by proton so charge on electron = 1.6 x 10⁻¹⁹ C

Magnitude of force on electron

|F-->1| =  E-->1 x charge on electron

= 300 x 1.6 x 10⁻¹⁹

=  480 x 10⁻¹⁹ N .

Learn more about proton on:

https://brainly.com/question/1805828

#SPJ1

Complete question

A proton at location A makes an electricfield E-->1 atlocation B. A different proton, placed atlocation B, experiences a force F--->1.

If |E-->|= 300 N/C, what is |F-->1|?

|F-->1|= N

Now the proton at B is removed and replaced by alithium nucleus, containing three protons and four neutrons. Theproton at location A remains in place.

What is the magnitude of the electric force on the lithium nucleus?

|F-->Li| = N

Now the Lithium nucleus is removed, and an electron is placed atlocation B. The proton atlocation A remains in place. What is the magnitude of the electric force on the electron?

What is the volume of a cone with a height of 27 cm and a radius of 13 round your answer to the nearest tenth

Answers

Answer:

4.775,94

Explanation:

FORMULA:

[tex]\frac{1}{3} * 3,14 * Rx^{2} * H[/tex]

one-third per "pi" (3.14), per radius squared, per height.

Answer:

vol = 4778.36 cm³

Explanation:

volume of a cone = 1/3 π r² h

height (h) = 27 cm

radius (r) = 13 cm

plug in values:

vol = 1/3 π (13)² 27

vol = 4778.36 cm³

Evaluate u + xy, for u = 1, x = 3, and y = 6.

Answers

answer: hi! so the first thing you want to do is plug in for your variables.

so when you do that you get:

1+3(6)

according to PEMDAS, multiplication comes first.

6*3=18

so you’re equation should now look like this;

1+18

and then add the numbers together.

your answer should be 19.

hope this helps!!

the liquid pressure varies with depth why​

Answers

Explanation:

Hey, there!

The liquid pressure varies with depth because liquid pressure is directly proportional to the depth of liquid from the free surface of the liquid. so, more the depth more the pressure and less the depth less the pressure.

Hope it helps...

fastest to slowest: 5.0 m/s, -10.0 m/s, 520.0 cm/s, 18.0 cm/s ,2.0 cm/s

Answers

Given : We have given sets of speed 5.0 m/s, -10.0 m/s, 520.0 cm/s, 18.0 cm/s ,2.0 cm/s .

To Find : Order the given speed from fastest to lowest .

Solution :

First of all we have to convert all the given speed in same units .

We know , 1 m = 100 cm .

Therefore , speed in units cm/s is :

500 cm/s , -1000 cm/s , 520 cm/s , 18 cm/s , 2 cm/s .

We know , that -ve and +ve sign only indicates the direction .

So , comparing their magnitude , we get the order as :

-1000 cm/s , 520 cm/s , 500 cm/s , 18 cm/s , 2 cm/s .

Hence , this is the required solution .

Which is an example of potential energy? a swimmer kicking their legs a car driving on the road an arrow flying at a target a yo-yo in someone’s hand

Answers

A yo yo in someone’s hand. All of the other options are kinetic energy. Remember, potential energy is when things are at a stop. Kinetic energy is when things are moving.

Answer:

The yo-yo :)

Explanation:

How can Newton’s laws explain why the brain is in danger of injury when there is impact to the head?

Answers

Answer:

The brain moves inside the skull with a force equal and opposite to that of the impact.

Explanation:

What does Pascal's principle state?
A. The pressure at two pistons within an enclosed fluid system is
always the same.
B. The buoyant force on an object is equal to the weight of the fluid
displaced by the object.
C. The pressure of a fluid decreases as the speed of the fluid
increases.
D. The pressure exerted by a fluid decreases as depth increases.

Answers

Right option is C is correct

The atmospheric pressure on a mountain is 550 mmHg and 1 atm is equal to 760 mmHg. What is the pressure in atm? Give your answer to 2 significant figures760 mmHg what is the pressure in atm?

Answers

Answer:

0.72 atm

Explanation:

Given that the atmospheric pressure on a mountain is 550 mmHg.

Where 1 atm is equal to 760 mmHg.

To Convert millimetre mercury (mmHg) into atmospheric pressure units (atm) , divide the magnitude of pressure by 760. That is,

Pressure = 550/760

Pressure = 0.724 atm

Therefore, pressure in atm is 0.72 atm in two significant figures

Using the same cost and time estimates, consider the time-effectiveness of each engineer.


If SciTech is most concerned about meeting a deadline regardless of the cost, which engineer should the company choose?

Camilla
John
Nora
Oracio

Answers

Answer:

Camilla

Explanation:

Answer:Camilla        

Explanation:

how should an ammeter and voltmeter be connected in a circuit and why?? I need ans acc to grade 10th

Answers

Answer:

An ammeter should be connected in the series while the voltmeter in parallel.

Explanation:

Ammeter is the device used to measure the electric current. So , the total current flowing through the circuit must pass through the ammeter. Thus , it should be connected in series. While voltmeter is a device used to measure the potential difference between two ends. Therefore, voltmeter should be connected in parallel to measure the potential difference across two ends.

why is skipping quicker than running

Answers

Answer:

because you are taking longer and faster strides

Explanation:

Answer:

you are taking longer to skip.

Explanation:

Just need help with 1 and 2 please :D i’m having a bit of trouble :/

Answers

1. Traveling by car means you have specific roads to follow. You won’t be able to go straight to Banning high from POLAHS. The 8.4km will be defined as distance. Traveling by helicopter you don’t have roads to follow that means you can fly directly to banning high. 6.8km will be defined as displacement.

2. A) 400m
B)0m
C)d=1/2(vi+vf)t
400=1/2(0+vf)92
8.7m/s
D) 0m/s
E) Not sure but instantaneous velocity refer to velocity at a given point. Average velocity is just the average. Usually instantaneous velocity won’t be same as the average velocity.
Plz like if it helped.

How do we represent Earth’s face?

Answers

Answer:

Human-driven changes in arrive utilize and arrive cover such as deforestation, urbanization, and shifts in vegetation designs moreover change the climate, coming about in changes to the reflectivity of the Soil surface (albedo), emanations from burning timberlands, urban warm island impacts and changes within the normal water cycle.

What is moment? What are the two factors which affect moment​

Answers

Explanation:

moment is an expression involving the product of a distance and physical quantities.

-the size of force applied.

-the perpendicular distance from the pivot to the line of action of the force

Other Questions
(4x2y3 + 2xy2 2y) (7x2y3 + 6xy2 2y) i need help solving A and \angle BB are vertical angles. If m\angle A=(3x-30)^{\circ}A=(3x30) and m\angle B=(2x-9)^{\circ}B=(2x9) , then find the value of x. Drag each tile to the correct box.Arrange the types of movie discs in terms of the amount of content they can hold.DVDBlu-rayCD-> Factor by identifying a common factor in each term. help g) 6xy2 = (3x) (?) h) 25a3b2 = (5a2b2) (?) i) 6x + 6y + 6p what posed the MOST significant threat to the slaves during the Middle Passage? A) the spread of disease B) complications from overeating C) lack of protection from the elements D) exhaustion due to unending forced labor Please answer ASAP !!Which statement shows 2, 4,-1, and 0 in order from least to greatest?A 2 Which ratios are equivalent to 10:16? Check all that apply. 30 to 48 25:35 StartFraction 40 Over 64 EndFraction 8:32 5 to 15 Please, I need help! a positive integer is subtracted from its square. The sum is 56. Write and solve a quadratic equation to find the number. Thank you! Your hourly salary increased from $11 to $23. What is the percent increase in yoursalary? 4639 nearest thousand please answer fast Lifestyle Changes... Good or Bad for your Career? Chlorpromazine (Thorazine) may cause which of the following side effects? a.Respiratory depression b.Hemorrhage c.Tachycardia d.Gastric ulcers what set has a fixed number of elements g a small metal sphere, carrying a net charge is held stationary. what is the speed are 0.4 m apart An infinitive is a verb form that usually begins with what do you understand by physical change ? give example How many square feet is 75,480 square centimeters? (Round to the nearest tenth) * Writing Conventions Day 3- Is this a simple sentence or a fragment? If it is a fragment, tell what is missing and then make it a simple sentence. The car lost and found. In To Kill a Mockingbird, what does Mr. Radley fire in the air at the kids? Consider the following.