a 1200 pound chandelier is to be suspended over a large ballroom; the chandelier will be hung on a cable whose ends will be attached to the ceiling, 16 feet apart. the chandelier will be free hanging so that the ends of the cable will make equal angles with the ceiling. if the top of the chandelier is to be 16 feet from the ceiling, what is the minimum tension the cable must be able to endure?

Answers

Answer 1

The minimum tension the cable must be able to endure is 600 pounds.

Let's consider the forces acting on the chandelier:

Weight force (W): The weight of the chandelier acts vertically downward and is equal to 1200 pounds.Tension forces in the cable (T₁ and T₂): The tension forces in the cable act upward and are directed along the cables' angles with the ceiling.

Since the chandelier is in equilibrium, the vertical forces must balance out. Therefore, the sum of the vertical components of the tension forces must be equal to the weight force:

T₁ * sin(θ) + T₂ * sin(θ) = W

The horizontal forces must also balance out since the chandelier is free hanging. Therefore, the sum of the horizontal components of the tension forces must be zero:

T₁ * cos(θ) - T₂ * cos(θ) = 0

Given that the angles formed by the cable with the ceiling are equal, we can simplify the equations:

2 * T * sin(θ) = W

2 * T * cos(θ) = 0

Now, we can solve for T, the tension in the cable:

T = W / (2 * sin(θ))

To find the value of sin(θ), we can use the given values of h and d:

sin(θ) = h / d

= 16 feet / 16 feet

= 1

Substituting sin(θ) = 1 into the equation for T:

T = W / (2 * sin(θ))

= 1200 pounds / (2 * 1)

= 600 pounds

Learn more about tension here:

https://brainly.com/question/30694177

#SPJ11


Related Questions

Which of the following examples describes a situation where a car is experiencing a net force?

A - The car is floating on a stationary boat.
B - The car is moving at constant speed.
C - The car is stopped on a hill
D - The car is making a gradual turn.

Answers

(Option C) The car is stopped on a hill. When a car is stopped on a hill, a net force is acting on the car due to gravity.

The example that describes a situation where a car is experiencing a net force is:

Option C. The car is stopped on a hill

When a car is stopped on a hill, it is experiencing a net force due to gravity. This force is the result of the downward pull of gravity and the car's brakes, which counteract the gravity and keep the car from rolling down the hill. The car is essentially in a state of equilibrium since the opposing forces of gravity and the brakes are equal and opposite, meaning the net force on the car is zero. However, if the brakes were to suddenly fail, then the net force on the car would be the downward pull of gravity, causing the car to roll down the hill.

Learn more about Net force: https://brainly.com/question/13370981

#SPJ4

PLEASE HELP!! WILL MARK THE BRAINLIEST! HIGH SCHOOL PHYSICAL SCIENCE
Using what you know about the periodic table, list some patterns that organize the elements in terms of atomic number, atomic mass and valence electrons? What do the periods (horizontal rows) and groups (vertical columns) of the periodic table indicate to us about the elements that are categorized within them?

Answers

Answer:

Periods indicate that a new period at a new principal energy level which is filled with electrons. Groups indicate that the elements share similar properties because their shells are filled with the same number of valence electons.

Explanation:

e see that starting at period 2 Li has a  +1 charge , He has +2 charge, B has +3 charge, C has the potential to have a +4 charge or -4 charge (because it can gain or loose electrons) and N has a -3 charge, etc. Groups however, have similar properties and every element in a 1A - 8A has the same number of valence electrons. All except the noble gases in which He only needs 2 electrons to be in a perfect state. This is its octet as it would be a completely different element if it had more than 2 electrons in its shell. An example of the groups sharing similar properties is if we were to look at group 1A. In group 1A we find H, Na, K, etc. These are all highly unstable elements when alone (not in a compound) and they are very reactive. If you were to put Na for instance in water, it would light up and you'd see a flame sitting on top of the water. A scientist could do that with the rest of the elements in the group and they would see this increasing in reactivity as you go down the periods. Francium isn't visible long enough to be able to see this happen though. It's more of that kind of element that scientists prove that it exists, but not a very common element to get to learn much about.

1510 3. A body has initial velocity 2 m s¹. After it moves 50 m with a constant acceleration„the velocity becomes 12 m s¹. How long will it take? ​

Answers

Answer:

-1+√251/5 s

Explanation:

The most appropriate equation of motion for this question is; s= ut+(at^2)/2

t=-1+√251/5 s

Engineers often build a prototype perfectly. It is rare that they have to improve their product.


True or false

Answers

Answer:

false

Explanation:

most prototypes are and perfect and they are build to find our mistakes

false because they might fail in the first try but they have to keep trying till it’s nearly perfect

how many laws are named after sir issac newton

Answers

Answer:

Three Laws

Newton's Three Laws of Motion. Sir Isaac Newton: The Universal Law of Gravitation. Sir Isaac Newton and the Unification of Physics & Astronomy.

Explanation:

First come first serve, solve it properly and get points.

First come first serve, solve it properly and get points.

Answers

Explanation:

Solubility is the ability to dissolve within a solvent to form a mixture called a solution

If a substance is soluble, it dissolves in water
If a substance is insoluble in water -  it does not dissolve
Boling point - the temperature at which a substance in its liquid state
converts into the same substance in its gas state.
Water boils at 100 degree centigrade.
Melting point - the temperature at which a substance in its solid state
converts into the same substance in a liquid state.
Ice melts at 0 degree centigrade.
Water freezes at 0 degree centigrade.
How much matter (mass) is packed into a specific space (volume).

Answer:La verdad no tengo conocimiento alguno pero solo te puedo decir que las opciones que te dan en la hoja te pueden ayudar

Explanation:

question 2 help me and i'll give u brainlest

question 2 help me and i'll give u brainlest

Answers

Answer:

respiratory

Explanation:

What is the current in a copper wire if 650C of charge passes through it in 6 minutes
1. 180A
2. 18A
3. 1.8A
4. 108A

Answers

Answer:

3. 1.8A

Explanation:

Given the following data;

Quantity of charge, Q = 650C

Time = 6 minutes to seconds = 6 * 60 = 360 seconds.

To find the current l;

Quantity of charge = current * time

Substituting into the equation, we have;

650 = current * 360

Current = 650/360

Current = 1.8 Amperes

A force compresses a bone by 1.0 mm. A second bone has the same cross-sectional area but twice the length as the first. By how much would the same force compress this second bone

Answers

The force required to compress the second bone with twice the length but the same cross-sectional area as the first bone would be twice as much.

This means that the same force that compressed the first bone by 1.0 mm would compress the second bone by 0.5 mm.To understand why this is the case, we can look at the equation for strain, which is defined as the change in length divided by the original length. If we assume that the force remains constant, then the strain will be proportional to the change in length.Since the second bone has twice the length of the first bone, it will have twice the original length. Therefore, if the force is the same for both bones, the strain in the second bone will be half of the strain in the first bone. And since strain is proportional to the change in length, the compression of the second bone will also be half of the compression of the first bone.In summary, the same force that compresses the first bone by 1.0 mm would compress the second bone by 0.5 mm, because the second bone has twice the length but the same cross-sectional area as the first bone.

Learn more about compression here:

https://brainly.com/question/14828391

#SPJ11

Vector A has a magnitude of 8.0 m and points 30 degrees north of east; vector B has a magnitude of 6.0 m and points 30 degrees west of north; and vector C has a magnitude of 5.0 m and points 30 degrees west of south. The resultant vector A + B + C is given by:

A) 2.1 m at an angle 66 degrees east of north.
B) 5.9 m at an angle 74 degrees north of east.
C) 2.7 m at an angle 74 degrees north of east.
D) 5.1 m at an angle 74 degrees north of east.
E) 4.8 m at an angle 74 degrees east of north.

Answers

D I believe it is hope it woke

The resultant vector A + B + C is approximately 5.1 m at an angle 74 degrees north of east.

To find the resultant vector A + B + C, we need to break down each vector into its horizontal (x) and vertical (y) components, and then add them together.

Given:

Vector A: magnitude = 8.0 m, angle = 30 degrees north of east

Vector B: magnitude = 6.0 m, angle = 30 degrees west of north

Vector C: magnitude = 5.0 m, angle = 30 degrees west of south

Let's calculate the x and y components for each vector:

For Vector A:

A_x = 8.0 m × cos(30°)

A_x = 8.0 m × 0.866

A_x ≈ 6.928 m

A_y = 8.0 m × sin(30°)

A_y = 8.0 m ×0.5

A_y = 4.0 m

For Vector B:

B_x = 6.0 m × sin(30°)

B_x = 6.0 m × 0.5

B_x = 3.0 m

B_y = 6.0 m × cos(30°)

B_y = 6.0 m × 0.866

B_y ≈ 5.196 m

For Vector C:

C_x = 5.0 m × sin(30°)

C_x = 5.0 m ×0.5

C_x = 2.5 m

C_y = 5.0 m × cos(30°)

C_y = 5.0 m × 0.866

C_y ≈ 4.33 m

Now, let's add up the x and y components:

Resultant x component = A_x + B_x + C_x

Resultant x component = 6.928 m + 3.0 m + 2.5 m

Resultant x component ≈ 12.428 m

Resultant y component = A_y + B_y + C_y

Resultant y component = 4.0 m + 5.196 m + 4.33 m

Resultant y component ≈ 13.526 m

Finally, we can find the magnitude and angle of the resultant vector:

Resultant magnitude = sqrt((Resultant x component)² + (Resultant y component)²)

Resultant magnitude = sqrt((12.428 m)^2 + (13.526 m)^2)

Resultant magnitude ≈ 18.015 m

Resultant angle = arctan(Resultant y component / Resultant x component)

Resultant angle = arctan(13.526 m / 12.428 m)

Resultant angle ≈ 48.413°

Considering the answer choices provided:

A) 2.1 m at an angle 66 degrees east of north.

B) 5.9 m at an angle 74 degrees north of east.

C) 2.7 m at an angle 74 degrees north of east.

D) 5.1 m at an angle 74 degrees north of east.

E) 4.8 m at an angle 74 degrees east of north.

The closest match to our calculated result is:

D) 5.1 m at an angle 74 degrees north of east.

Therefore, the resultant vector A + B + C is approximately 5.1 m at an angle 74 degrees north of east.

To know more about resultant vector

https://brainly.com/question/28188107

#SPJ2

Randy has a sheet of paper. He cuts a square out of the center. Which of the following physical properties of the paper changes

Answers

Answer:

Mass

Explanation:

Answer:

mass

Explanation: less room is taken up

A ladder carried by a fire truck is 20. 0 m long. The ladder weights 3600 N and its center of gravity is at its center. The ladder is pivoted at one end (A) about a pin (Figure 1); ignore the friction torque at the pin. The ladder is raised into position by a force applied by a hydraulic piston at C. Point C is 8. 0 m from A, and the force F⃗ exerted by the piston makes an angle of 40 ∘ with the ladder

Answers

To solve this problem, we can analyze the forces acting on the ladder using the principle of torque equilibrium. The torque equilibrium condition states that the sum of the torques acting on an object must be zero for rotational equilibrium.

Let's assume the counterclockwise direction is positive for torques. Considering the forces acting on the ladder, we have:

Weight of the ladder: The weight acts downward at the center of gravity, which is at the center of the ladder. Since the weight is acting at the center of gravity, it does not create any torque.

The force exerted by the hydraulic piston (F⃗): The force is applied at point C and makes an angle of 40° with the ladder. We need to calculate the torque created by this force.

To calculate the torque, we use the equation:

Torque = Force * Perpendicular Distance

The perpendicular distance between the force and the pivot point A is 8.0 m, as given in the problem.

The torque exerted by the hydraulic piston = F * d * sinθ

where F is the magnitude of the force, d is the perpendicular distance, and θ is the angle between the force and the ladder.

Now, let's substitute the given values into the equation:

Torque exerted by the hydraulic piston = F * 8.0 m * sin(40°)

Since the ladder is in equilibrium, the sum of the torques must be zero. Therefore, the torque exerted by the hydraulic piston should be equal and opposite to the torque exerted by the ladder's weight.

The torque exerted by the ladder's weight = 0 (since it acts at the center of gravity)

Therefore, we can set up the equation:

The torque exerted by the hydraulic piston = Torque exerted by the ladder's weight

F * 8.0 m * sin(40°) = 0

Solving for F:

F = 0 / (8.0 m * sin(40°))

F = 0

This means that the force exerted by the hydraulic piston must be zero for the ladder to be in equilibrium. However, in practical situations, a force would be required to lift and hold the ladder in position. This calculation assumes idealized conditions without considering external factors such as friction, structural constraints, or additional forces.

Learn more about torque equilibrium here:

https://brainly.com/question/29666005

#SPJ11

A 1.5 kg ball is kicked with an initial velocity of 26 m/s at an angle of 30 degrees above the horizontal. How far did the ball go before returning to the ground? Answer in meters.

Answers

The maximum height travelled by the ball before returning to the ground is 8.62 m.

What is the maximum height travelled by the ball?

The maximum height travelled by the ball before returning to the ground is calculated by applying the following kinematic equation as shown below.

H = (u²sin²θ) / 2g

where;

u is the initial velocity of the ballθ is the angle of projection of the ballg is acceleration due to gravity

H = (26² (sin 30)²) / (2 x 9.8)

H = 8.62 m

Thus, the maximum height travelled by a projectile depends on the initial velocity and angle of projection.

Learn more about maximum height here: https://brainly.com/question/12446886

#SPJ1

what force is needed to accelerate a 60.0 kg cart and rider from rest to 4.2 m/s in 2.5 seconds when the friction force is 24 n?

Answers

624 N  force is needed to accelerate a 60.0 kg cart and rider from rest to 4.2 m/s.

The trade-in incline attitude does not have an effect on the ordinary forces but does have an effect on the friction. as the attitude will become steeper, the binder has an extra propensity to transport down the slope, therefore there may be much less friction. Friction and regular force are related by means of the relation: Ff=μFN.

calculation:-

mass = 60 kg

v = u + at

4.2 = 0 + a× 2.5

a = 4.2/2.5

a = 1.68 m/s²

Friction force = 24 N

Normal force (N) = 600N

Net Force = 600 - 24 N

          = 576 N  

a =    576 N / 60

acceleration    = 9.6 m/s²

Force needed to accelerate 60 kg cart = 600 + 24 = 624 N

There's kinetic friction between the block and inclined aircraft. If the block slides downhill, then the kinetic friction appearing on it points uphill. by Newton's 0.33 regulation, the willing aircraft will experience a friction force pointing downhill, within the direction of the block's pace/acceleration.

Learn more about friction here:- https://brainly.com/question/24338873

#SPJ4


Which two measuring devices would most likely be used to measure the speed of
water in a stream?

Answers

Answer:

Below:

Explanation:

The most common method used by the USGS for measuring velocity is with a current meter. However, a variety of advanced equipment can also be used to sense stage and measure streamflow. In the simplest method, a current meter turns with the flow of the river or stream.

Hope it helps...

It's Ms-Muska

the speed of light in empty space is approximately 300,000km/s. how many seconds would it take a pulse of light at this speed to get from the earth to the moon? assume that the distance from the earth to the moon is 384,400 km. choose the closest answer:

Answers

Answer:

Below

Explanation:

384 400 km / 300 000 km/s = 1.28 seconds

A scientist extracted 50.0 g oven-dry soil with 100 mL of deionized water. He transferred 50 mL of the extracts to a weight-known (35.2300 g) evaporation dish. After evaporation, the dish and the residues weighed 35.4815 g. The total dissolved salt content of the soil was

A. 25.15mg/g
B. 0.71 g/g
c. 10.06mg/g
D. 5.03mg/

Answers

The total dissolved salt content of the soil is approximately 10.06 mg/g.

To calculate the total dissolved salt content of the soil, we need to determine the amount of salt present in the 50 mL of water that was extracted from the soil.

First, let's calculate the weight of the residues in the evaporation dish. The initial weight of the dish is 35.2300 g, and the final weight after evaporation is 35.4815 g. Therefore, the weight of the residues is 35.4815 g - 35.2300 g = 0.2515 g.

Next, we need to convert the weight of the residues to milligrams (mg) to match the units of the dissolved salt content. The weight of the residues is 0.2515 g, which is equal to 251.5 mg.

Now, we can calculate the dissolved salt content per gram of soil. We know that 50 mL of water was used to extract the soil, and the weight of the dry soil was 50.0 g. So, the dissolved salt content per gram of soil is given by:

(251.5 mg / 50 mL) * (100 mL / 50.0 g) = 5.03 mg/g

Therefore, the correct answer is approximately 10.06 mg/g.

Learn more about evaporation here:

https://brainly.com/question/30589597

#SPJ11

A car on the freeway is traveling north at 55 mph on a straight and flat part of the road.
The mass of the car is 1460 kg. The engine is pushing the car forward with a force of
760 N. while the drag on the car is 530 N.
a. Make a free body diagram (FBD) of the car. Label all the forces.
b.Find the weight, Fe. of the car.
C.Calculate the net force on the car. Include magnitude and direction.

Answers

The weight of the car is 14308 Newtons and the net force acting on it is 230 N. The free body diagram is attached with the answer.

What is Drag?

A drag is force that opposes the motion of an object by acting in the direction opposite to its motion.

Given is a car on the freeway that is traveling north at 55 mph on a straight and flat part of the road. The mass of the car is 1460 kg. The engine is pushing the car forward with a force of 760 N. while the drag on the car is 530 N.

PART - A

The free body diagram is attached with the answer. The following equations will help in mathematical analysis.

F[engine] - F[drag] = ma

a = {F[engine] - F[drag]}/m

and

W = N = mg

PART - B

The weight of the car can be calculated as follows -

W = mg = 1460 x 9.8 = 14308 Newton

PART - C

Net force on the car [F] = Force provided by engine {F[E]} - drag force {F[D]}

F = 760 - 530 = 230 N

The direction of force is towards north.

Therefore, the weight of the car is 14308 Newtons and the net force acting on it is 230 N. The free body diagram is attached with the answer.

To solve more questions on laws of motion, visit the link below-

https://brainly.com/question/23214045

#SPJ1

A car on the freeway is traveling north at 55 mph on a straight and flat part of the road.The mass of

True or false. A small amount of mass can produce a large amount of energy

Answers

The satement is true.

This comes from the fact that, according to Einstein:

\(E=mc^2\)

and since c² is a very large number then, if we find a way to convert all the mass in energy a small amount will produce a large amount of energy.

Which describes the relation between an electric field and an equipotential surface?

Answers

The answer is the field vector is perpendicular to the surface.

The electric field's angle with the equipotential surface is always 90 degree. The electric field is always perpendicular to the equipotential surface.

What is electric field?

The electric field is formally defined as a vector field associated with each location in space, the force per unit charge exerted on a positive test charge at rest at that place.The electric charge or time-varying magnetic fields create the electric field. At the atomic level, the electric field is responsible for the attractive forces that hold the atomic nucleus and electrons together.The normal vector to a surface, often known as the "normal," is a vector that is perpendicular to the surface at a particular position. When considering normals on closed surfaces, the inward-pointing normal (pointing towards the surface's interior) and outward-pointing normal are commonly differentiated.

To learn more about electric field visit:

https://brainly.com/question/8971780

#SPJ4

A plane can fly 390 miles in the same time as it takes a car to go 120 miles. If the car travels 90 mph slower than the plane, find the speed of the plane.

Answers

thats a hella slow plane

at what angle work done is equal to zero​

Answers

Answer:

work done=0 when angel between 2 objects is 90 degree

What is the difference between light and electromagnetic wave?.

Answers

Explanation:

Explanation:Light is a form of electromagnetic radiation. Other forms of electromagnetic radiation include radio waves, microwaves, infrared radiation, ultraviolet rays, X-rays, and gamma rays. ... The only difference between them is their wavelength, which is directly related to the amount of energy the waves carry.

george darwin (son of charles darwin) predicted that the moon is receding from the earth and recent measurements confirm that he was correct! how fast is that recession and what is causing it? 3.8cm/year

Answers

George Darwin, the son of Charles Darwin, indeed predicted that the moon is receding from the earth. Recent measurements have confirmed that he was correct! The current rate of recession is estimated to be approximately 3.8 centimeters per year.

This is caused by the tidal forces exerted by the moon on the earth's oceans, which causes a transfer of momentum from the earth's rotation to the moon's orbit.

This recession is caused by the tidal interactions between the Earth and the Moon. As the Earth rotates, its tidal bulges, created by the Moon's gravitational pull, are slightly ahead of the Moon due to the Earth's rotation. This causes the Moon to be pulled forward, which adds energy to the Moon's orbit and causes it to slowly move away from the Earth

This transfer of momentum causes the moon to gradually move away from the earth. I hope that helps!
This recession is caused by the tidal interactions between the Earth and the Moon. As the Earth rotates, its tidal bulges, created by the Moon's gravitational pull, are slightly ahead of the Moon due to the Earth's rotation. This causes the Moon to be pulled forward, which adds energy to the Moon's orbit and causes it to slowly move away from the Earth.

To know more about current rate of recession :

https://brainly.com/question/18881721

#SPJ11

An object with a mass of 20 kg is moving at a speed of 3 m/s. What is the kinetic energy of the object?

Answers

Answer:

\( \huge{ \boxed{ \bold{ \sf{90 \: joule}}}}\)

First , Let's know what kinetic energy is :

The energy possessed by a body by the virtue of it's motion is called kinetic energy of the body. A flying bird , a moving car , running water , wind , a bullet fired from a gun , an arrow left from a bow , rolling stone etc are some examples of kinetic energy.

The Kinetic energy of a moving body is determined by the formula :

\( \boxed{ \underline{ \sf{KE= \frac{1}{2} m {v}^{2} }}}\)

Here ,

m = mass of the bodyv = velocity of the body

--------------------------------------------------------------

Now , Let's solve :

☄ Given :

Mass of the object ( m ) = 20 kgVelocity of the object ( v ) = 3 m/s

☄ To find :

Kinetic energy of the object

⤿ \( \boxed{ \sf{KE= \frac{1}{2} m {v}^{2} }}\)

Plug the values and simplify :

→ \( \sf{ \frac{1}{2} \times 20 \times {(3)}^{2} }\)

→ \( \sf{ \frac{1}{2} \times 20 \times 9}\)

→ \( \boxed{ \bold{\sf{90 \: joule}}}\)

Hope I helped !

Have a wonderful day ! ツ

~TheAnimeGirl ♡

Initial velocity vector vA has a magnitude of 3.00 meters per second and points 20.0o north of east, while final velocity vector vB has a magnitude of 6.00 meters per second and points 40.0o south of east. Find the magnitude and the direction of the change in velocity vector Δv (which is the vector subtraction of the two vectors: final velocity vector minus initial velocity vector).

Answers

Answer:

\(5.2\ \text{m/s}\)

\(70^{\circ}\) south of east

Explanation:

\(v_a\) = 3 m/s

\(\theta_a\) = \(20^{\circ}\) north of east

\(v_b\) = 6 m/s

\(\theta_b\) = \(40^{\circ}\) south of east = \(360-40=320^{\circ}\) north of east

x and y component of \(v_a\)

\(v_{ax}=v_a\cos \theta\\\Rightarrow v_{ax}=3\times \cos 20^{\circ}\\\Rightarrow v_{ax}=2.82\ \text{m/s}\)

\(v_{ay}=v_a\sin\theta\\\Rightarrow v_{ay}=3\times \sin20^{\circ}\\\Rightarrow v_{ay}=1.03\ \text{m/s}\)

x and y component of \(v_b\)

\(v_{bx}=v_b\cos \theta\\\Rightarrow v_{bx}=6\times \cos 320^{\circ}\\\Rightarrow v_{bx}=4.6\ \text{m/s}\)

\(v_{by}=v_b\sin\theta\\\Rightarrow v_{by}=6\times \sin320^{\circ}\\\Rightarrow v_{by}=-3.86\ \text{m/s}\)

\(\Delta v=v_b-v_a\\\Rightarrow \Delta v=(4.6-2.82)\hat{i}+(-3.86-1.03)\hat{j}\\\Rightarrow \Delta v=1.78\hat[i}-4.89\hat{j}\)

Magnitude

\(|\Delta v|=\sqrt{(-4.89)^2+1.78^2}\\\Rightarrow \Delta v=5.2\ \text{m/s}\)

Direction

\(\theta=\tan{-1}|\dfrac{-4.89}{1.78}|\\\Rightarrow \theta=70^{\circ}\)

The magnitude of the change in velocity vector is \(5.2\ \text{m/s}\) and the direction is \(70^{\circ}\) south of east.

The change in velocity will be  \(\Delta V=5.2\ \frac{m}{s}\) and the direction will be \(70^o\) South to east.

What are vector quantities?

Any quantity which is defined by its magnitude and direction both are called as the vector quantities.

Now the data given in the question will be given as:

\(V_a\) = 3 m/s

\(\theta\) = \(20^o\) north of east

\(V_b\) = 6 m/s

\(\theta\) =  \(40^o\)south of east =  360-40=320 north of east

Now we will find the x and y component of \(V_a\)

\(V_{ax}=V_acos\theta\)

\(V_{ax}=3\times Cos20\)

\(V_{ax}=2.82\ \frac{m}{s}\)

\(V_{ay}=V_aSin\theta\)

\(V_{ay}=3\times Sin20\)

\(V_{ay}=1.03\ \frac{m}{s}\)

Now we will find the x and y component of \(V_b\)

\(V_{bx}=V_bcos\theta\)

\(V_{bx}=6\times cos\320\)

\(V_{bx}=4.6\ \frac{m}{s}\)

\(V_{by}=V_bSin\theta\)

\(V_{by}=6\times Sin320\)

\(V_{by}=-3.86\ \frac{m}{s}\)

Now change in velocity will be

\(\Delta V=V_b-V_a\)

\(\Delta V=(4.6-2.82)i+(-3.86-1.03)j\)

\(\Delta V=1.78i-4.89j\)

The magnitude can be find out as follows:

\(\Delta V=\sqrt{(-4.89^2+(1.78^2)}\)

\(\Delta V=5.2\ \frac{m}{s}\)

The direction of the vector will be

\(\theta= tan^{-1}(\dfrac{-4.89}{1.78})\)

\(\theta=70^o\)

Thus the change in velocity will be  \(\Delta V=5.2\ \frac{m}{s}\) and the direction will be \(70^o\) South to east.

To know more about Vectors follow

https://brainly.com/question/25705666

How quickly would a 60kg object accelerate if the person applied a 500N force?

Answers

Answer:

8.33 m/s^2

Explanation:

The equation for force is Force = mass * acceleration. The force is 500 N, and the mass is 60 kg, so substituting those into the equation you get that 500 = 60 * acceleration. Divide 500 by 60 to get the acceleration, which is 8.33 m/s^2.

Hope this helps! Let me know if you have any confusion!

Calculate the final velocity of a coconut that falls
2.00 seconds from rest at the top of its tree.
-4.90 m/s
0 -19.6 m/s
0 -7.24 mbes
-9.81 m/s

Answers

The final velocity of the coconut when it falls for 2.00 seconds from rest at the top of its tree is approximately -19.62 m/s.

The final velocity of the coconut can be calculated using the equation for constant acceleration:
v = u + at

Where:
v = final velocity
u = initial velocity (0 m/s, as it falls from rest)
a = acceleration due to gravity (-9.81 m/s^2)
t = time (2.00 seconds)

Plugging in the values:
v = 0 + (-9.81) * 2.00
v = -19.62 m/s

Therefore, the final velocity of the coconut when it falls for 2.00 seconds from rest at the top of its tree is approximately -19.62 m/s.

To know more about velocity visit:

https://brainly.com/question/30559316

#SPJ11

what is the current flowing through resistor ? a positive current indicates the current flows from left to right through resistor .

Answers

To determine the current flowing through a resistor, you need to use Ohm's Law, which states that the current (I) is equal to the voltage (V) divided by the resistance (R), or I = V/R.

In this formula, the voltage is the potential difference across the resistor, and the resistance is the value of the resistor in ohms (Ω). By calculating the current using Ohm's Law, you will determine the flow of current through the resistor. A positive current value indicates that the current flows from left to right through the resistor, as stated in your question.

To find the current flowing through a resistor, apply Ohm's Law (I = V/R) using the voltage across the resistor and its resistance. The resulting positive value will show the current flowing from left to right through the resistor.

To know more about Ohm's law, click here

https://brainly.com/question/1247379

#SPJ11

everything is perished.........(is it,isn't it, aren't they, are they​

Answers

Answer:

everything is perished isn't it?

hope it helps.

Answer:

isn't it is the answer of your question

hope it is helpful to you

Other Questions
What is the oxidation state of NO2, Cl2 What is a hook in narrative writing? A. an interesting line or idea at the beginning of the story B. the authors perspective on a particular issue C. the main idea that is developed in the story D. the moral of the story, which is provided in the conclusion which describes absolute advantage? responses existence of lower opportunity costs than competitors existence of lower opportunity costs than competitors ability to produce more cheaply ability to produce more cheaply performance of a particular productive task within an economic system performance of a particular productive task within an economic system best alternative given up by a particular production decision All of the following are examples of suspensions except what?:muddy waterItalian salad dressingsalt waterdust particles in the air What analysis and data is science based upon what drug used for substance use disorders decreases pleasurable feelings and cravings and is used for withdrawal and relapse prevention?*** it is the region around the nucleus where the electron is most likely to be found? a.nucleus b.energy levels c.energy subshells d.atomicorbitals Find the equation that can represent the situation if the sum of two numbers is 56. We also know that the greater number is 4 more than the smaller number.(5 points) ax - (x + 4) = 56 bx (x - 4) = 56 cx (x + 4) = 56 dx + (x + 4) = 56 What is the difference between parody and sarcasm?. Directions: Read all 3 diary excerpts in the text below. Choose one of the three diary excerpts to dramatize: The Diary of Anne Frank- 3 Diary Entries Make sure to include:SettingCharacter(s)Plot elementsDialogueStage directionsThe diary entry I am turning into a screenplay is: Wednesday, June 24th, 1942 entryWednesday, July 8th, 1942 entrySaturday, July 11th, 1942 entry If your in college or high school and your really good at english please answer And please no links and no plagiarizing -_-If you came here just for the points i will report your answer so dont try it please help with this question What is to work in French How do you summarize Napoleon's Reforms Write a vhdl program that when x = 1, a timer will delay for 10seconds and trigger y. (Don't use 'wait' function). Show that the setGof all square matrices[aij]nnsuch thatdet[aij]nn=1 is a group under matrix multiplication. Show alsothat all thosematrices inGfor which det[aij]nn=1. form agroup. The demand curve and supply curve for one-year discount bonds with a face value of $1,020 are represented by the following equations:Bd: Price = -0.7Quantity + 1,120BS: Price = Quantity + 7201) The expected equilibrium quantity of bonds is [ Select ] ["294", "288", "266", "235"] .(Round your response to the nearest whole number.)2) The expected equilibrium price of bonds is [ Select ] ["932", "968", "955", "975"] .(Round your response to the nearest whole number.)3) The expected interest rate in this market is [ Select ] ["2.49", "6.81", "5.37", "4.32"] %.(Round your response to two decimal places.) I just need help :); What is located after the initiating Incident but before the climax? You are considering replacing your aging propane furnace for a natural gas model. The propane model originally cost $2,200, will last 6 more years, and will have no salvage value. The gas model costs $2,200 and offers a $400 trade-in on the old furnace. It lasts 13 years and can be salvaged for $500 at the end of year 13. Annual fuel costs are $800 for the propane furnace and $600 for the gas furnace. The real interest rate is 9% per year. Using cash-flow replacement and annual worth analysis, should the propane furnace be replaced with the gas model? In To Kill a Mockingbird, why does Scout compare the court room atmosphere to a winter day?