what are the horizontal and vertical components of a vector that is 25units long with an angle of 130 degrees​

Answers

Answer 1

Answer:

The horizontal component of the vector is approximately -16.07

The vertical component of the vector is approximately 19.15

Explanation:

A vector quantity is a quantity that posses both magnitude and direction specifications

The magnitude of the given vector, R = 25 units

The direction of the vector, θ = 130°

Therefore the location of the vector, starting from the origin of the Cartesian plane, is in the second quadrant having an angle of 180° - 130° = 50° to the horizontal

Given that the x-coordinate  is negative in the second quadrant, we have;

The horizontal component of the vector, Rₓ = The x-coordinate of the vector = R×cos(θ)

∴ The horizontal component of the vector, Rₓ = 25 × cos(130°) = -25 × cos(50°) ≈ -16.07

The horizontal component of the vector, Rₓ ≈ -16.07

The vertical component of the vector, [tex]R_y[/tex] = The y-coordinate of the vector = R×sin(θ)

∴ The vertical component of the vector, [tex]R_y[/tex] = 25 × sin(130°) ≈ 19.15

The vertical component of the vector, [tex]R_y[/tex] ≈ 19.15

The vector can be resolved as R = -16.07·i + 19.15·j


Related Questions

Danny and Iskander sit on a see-saw. Iskander weighs 40 N and sits 1.2 meters from the pivot. Danny sits 0.8 m from the pivot and the see-saw is balanced. How much does Danny weigh?

Answers

Answer:

60N

Explanation:

According to the principle of lever: a torque can control if an object will spin or not.

The torque Iskander cause is 40*1.2=48 N-m

So for balanced, Danny should cause the same torque.

48/0.8=60, Danny weigh 60N.

A 5-kg box is pushed with a horizontal force of 100 N across a floor. What power output is neede d to push the box a distance of 60 meters in 2 minutes? (A) 10 W (B) 25 W (C) 30 W (D) 50 W​

Answers

Answer:

(D) 50 W​

Explanation:

Given the following data;

Mass = 5 kg

Force = 100 N

Distance = 60 N

Time = 2 minutes

Conversion:

1 minute = 60 seconds

2 minutes = 60 * 2 = 120 seconds

To find the power output required to push the box;

First of all, we would determine the work done in pushing the box.

Work done = force * distance

Workdone = 100 * 60

Workdone = 6000 Joules

Next, we find power output;

Power = workdone/time

Power = 6000/120

Power = 50 Watts

How do the meetings of the words exercise and fitness differ?

Answers

exercise is the activity and fitness is a lifestyle and done with time

1) Use SolidWorks (SW) FEA to apply a bending load of 600 lbf on the right end of the stepped shaft as shown below. This is the same geometry as H01. Estimate stress concentration factor Kt for bending from your FEA. Provide a hardcopy color plot of your FEA showing maximum von Mises stress.

Answers

Solution :

Given :

L = 1 in

d = 0.75 in

D = 1 in

Fillet radius, r = 0.063 in

[tex]$K_{t_{bending}=\frac{\sigma_{FEA_{bending }}}{\sigma_{Nominal_{bending }}}$[/tex]

We know that :

[tex]$\sigma_{b} = \frac{32M}{\pi d^3}$[/tex]

[tex]$\sigma_{b} = \frac{32 \times (2998.63 \times 25.4)}{\pi (0.75 \times 25.4)^3}$[/tex]

    [tex]$=112.27 \ N/mm^2$[/tex]

[tex]$\sigma_{FEA} = 1.3 \times 10^8 \ N/m^2$[/tex]

         [tex]$=1.3 \times 10^8 \times 10^{-6}$[/tex]

         [tex]$=1.3 \times 10^2$[/tex]   MPa

         = 130 MPa

Therefore, the stress concentration factor is :

[tex]$k_t=\frac{130}{112.27}$[/tex]

   = 1.157922

An 84% efficient single pulley is used to lift a 230 kg piano 3.5 m. How much work must be input?

Answers

Answer:

35%

Explanation:

win

The amount of work required to lift the 230 kg to a height of 3.5 m at  84% efficiency is 9391.67 J

What is efficiency?

This can be defined as the capacity to achieve a given task with little or no waste. Mathematically, it can be expressed as

Efficiency = (output / input) × 100

How to determine the work output Mass (m) = 230 KgHeight (h) = 3.5 mAcceleration due to gravity (g) = 9.8 m/s²Work output =?

Work output = mgh

Work output = 230 × 9.8 × 3.5

Work output = 7889 J

How to determine the work input Output = 7889 JEfficiency = 84% Input =?

Efficiency = (output / input) × 100

84% = 7889 / input

Cross multiply

84% × input = 7889

Divide both side by 84%

Input = 7889 / 84%

Input = 7889 / 0.84

Input = 9391.67 J

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A boiling liquid absorbs thermal energy (heat) at a rate of 450 W. The specific latent heat of vaporisation is 2.7 × (10 race to power 6)J / kg.how much liquid is vaporised in 9 minutes?

Answers

Answer:

0.09 kg

Explanation:

The details of boiling liquid are;

The rate of thermal energy absorption by the liquid, P = 450 W

The specific latent heat of vaporization, c = 2.7 × 10⁶ J/kg

The required information = The amount of liquid vaporized in t = 9 minutes

We have;

P = E/t

Where;

P = Power supplied by the heat source = The rate of absorption of thermal energy

E = The energy absorbed

t = The time

The energy absorbed in 9 minutes, E = P × t

∴ E = 450 W × 9 min × 60 s/min = 243,000 J

The heat required to evaporate 1 kg of liquid = The  specific latent heat of vaporization, c = 2.7 × 10⁶ Joules

The mass of the liquid evaporated by the energy absorbed, E, m = E/c

∴ m = 243,000 J/(2.7 × 10⁶ J/kg) = 0.09 kg

Therefore, the mass of the liquid vaporized by the energy absorbed at a rate of 450 W, in 9 minutes, m = 0.09 kg.

The drop in potential across a resistor in a circuit is 40 V. What is the current
flowing through the resistor if the resistance is 2.0 0? (use Ohmis law. V = IR

Answers

Answer:

Current, I = 20 Amperes.

Explanation:

Given the following data;

Voltage = 40 V

Resistance = 2 Ohms

To find current flowing through the resistor;

Ohm's law states that at constant temperature, the current flowing in an electrical circuit is directly proportional to the voltage applied across the two points and inversely proportional to the resistance in the electrical circuit.

Mathematically, Ohm's law is given by the formula;

[tex] V = IR[/tex]

Where;

V represents voltage measured in voltage.

I represents current measured in amperes.

R represents resistance measured in ohms.

Making current (I) the subject of formula, we have;

[tex] I = \frac {V}{R} [/tex]

Substituting into the formula, we have;

[tex] I = \frac {40}{2} [/tex]

Current, I = 20 Amperes.

A hot cube of iron was heated up using 1500 J of thermal energy and was placed in a beaker of water. Before it was heated, the iron cube was 20.0 ˚C. The cube of iron raised the temperature of the water to 45.0 ˚C. If the iron cube has a mass of 133 g, what is the specific heat capacity of iron?

Answers

Answer:

451.13 J/kg.°C

Explanation:

Applying,

Q = cm(t₂-t₁)............... Equation 1

Where Q = Heat, c = specific heat capacity of iron, m = mass of iron, t₂= Final temperature, t₁ = initial temperature.

Make c the subject of the equation

c = Q/m(t₂-t₁).............. Equation 2

From the question,

Given: Q = 1500 J, m = 133 g = 0.113 kg, t₁ = 20 °C, t₂ = 45 °C

Substitute these values into equation 2

c = 1500/[0.133(45-20)]

c = 1500/(0.133×25)

c = 1500/3.325

c = 451.13 J/kg.°C

What is Magnitude?
a.Accuracy
b.Precision
c.Extent of a measurement
d.Ground type Pokemon

Answers

Answer:

Prior to changes in Generation IV, all damaging Ground-type moves were physical, but ... Ground type moves will affect Flying type Pokemon when they lose their ... Gen, Move, Category, Contest, Power, Accuracy, PP, Target, Description ... at an abandoned hydroelectric plant, were giving Onix a noticeable degree of pain, ...

Missing: Precision ‎c. ‎measurement ‎d.

Explanation:

Answer:

C. Extent of a measurement and D. Ground-Type Pokemon.

Explanation:

1. What is the voltage if a resistance of 25 produces a current of 250
amperes?

Answers

         The relationship between electric current and potential difference is stated by Ohm's law. Most conductors' current is directly inversely proportional to the voltage applied to them. German physicist Georg Simon Ohm was the first to empirically confirm Ohm's law.

What is the unit of Ohm's law?

The expression for Ohm's law is V I. As a result, V = RI, where R is the resistance constant. R is influenced by the conductor's material, size, and other factors. Ohm () is its SI unit.

      Ohms to volts conversion using the formula watts volts = watts ohms. or.

V = √W × Ω Example.

Given that,

  Voltage (v) = 250 V          

  Resistance (R) = 25 Ω,

   Determine current (I) =?

 We know that from ohm's law

 V = I R    

  I = V/R

  I = 250 / 25

  I = 10 A

Current in the circuit is 10 Amps.

To Learn more About Ohm's law, Refer:

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CAN SOMEONE PLS HELP ME ILL GIVE YOU BRAINLIEST!!!!

A 7000 N braking force is used to slow a car down. The car was traveling at 25 m/s before the
brakes were applied and was traveling at 5 m/s after 6 seconds. What is the mass of the car? (ANS:
2100 kg)

Answers

Answer:

the answer is already there lol

Explanation:

Answer:

answer is there you can see from there lol

Explanation:

A coil is wrapped with 332 turns of wire on the perimeter of a circular frame (of radius 30 cm). Each turn has the same area, equal to that of the frame. A uniform magnetic field is directed perpendicular to the plane of the coil. This field changes at a constant rate from 29 mT to 56 mT in 63 ms. What is the magnitude of the induced average E in the coil, over the time interval 63 ms during which the field changes

Answers

Answer:

[tex]E=84.5V[/tex]

Explanation:

From the question we are told that:

Number of Turns [tex]N=332turns[/tex]

Radius [tex]r= 30cm[/tex]

Field Change [tex]B=56mt-29mt=27mt[/tex]

Time [tex]t=63ms[/tex]

Generally the equation for Magnetic Field is mathematically given by

 [tex]\frac{dB}{dt}=\frac{27*10^{-3}}{29*10^{-3}}[/tex]

 [tex]\frac{dB}{dt}=0.9T/s[/tex]

Generally the Flux at 332 turns is  mathematically given by

 [tex]\phi=N*A*B[/tex]

Generally the equation for Area of coil is mathematically given by

 [tex]A=\pi*r^2[/tex]

 [tex]A=\pi*(r*10^{-2})^2[/tex]

Since

 [tex]\phi=332*\pi*(\theta*10^{-2})^2*B[/tex]

Therefore

 [tex]\frac{d \phi}{dt}=332*\pi*(900*10^{-4}*\frac{dB}{dt}[/tex]

Generally the equation for emf Magnitude is mathematically given by

 [tex]E=\frac{d\phi}{dt}[/tex]

 [tex]E=332*\pi*(900*10^{-4}*0.9[/tex]

 [tex]E=84.5V[/tex]

A man can jump 2 m on the surface of the earth, calculate the height that he can jump on the surface of the moon?​

Answers

Answer:

hi

Explanation:

it is probably 12 m on the surface of the moon

have a good day

I hope this is help full to you

3.
The mass of a regulation tennis ball is 57 g. Typically during a serve the ball is in contact with the tennis racket for 30 ms. If the serve
was measured at 73.14 m/s what impulse was exerted on the tennis ball?
5.5 kg. m/s
7.8 kgm/s
2.3 kg. m/s
4.2 kg. m/s

Answers

The answer is
B:because

A bus start from rest the aaceleration of the bus after 5 seconds become 10m/s2 find the final velocity of the bus

Answers

Answer:

The final velocity is 50 m/s.

Explanation:

Below is the calculation of velocity:

v = u + a*t

v = final velocity

u = initial velocity

a = accreleration

Since, u = 0, a = 10m/s^2, and t = 5 seconds. Now plug these values in the formula.

v = u + a*t

v = 0 + 10 x 5

v = 50 m/s

The final velocity is 50 m/s.

Calcalculate potential energy given to a potato sack having a mass of 2 kg as I raise it to a height of 450 CM ​

Answers

Answer:

8.829 Joules

Explanation:

The potential energy of an object, is the energy it posses (the energy stored within the object) by virtue of its relative elevation or height, position, state, or arrangement

The potential energy of an object raised to a given height, P.E. = m·g·h

Where;

m = The mass of the object

g = The acceleration due to gravity, a constant ≈ 9.81 m/s²

h = The present height of the object

For the potato sack having a mass, m = 2 kg, and raised to a height, h = 450 cm = 0.45 m, we have;

The potential energy given to the potato sack, by raising its height, P.E. is given as follows;

P.E. = 2 kg × 9.81 m/s² × 0.45 m = 8.829 Joules

The potential energy given to the potato sack, P.E. = 8.829 Joules

A bat is flying at 0.6 m/s when it spots an appetizing insect. The bat accelerated at a rate of 1.2m/s2 for 1.9
seconds. How fast is the bat traveling at the time?

Answers

Answer:

v_f = 2.9m/s

Explanation:

v_f = v_I + a(t)

v_f = 0.6m/s + 1.2m/s²(1.9s)

v_f = 2.88m/s

v_f = 2.9m/s

5. How can you help yourself stay motivated to continue with your fitness program and healthy lifestyle once virtual P.E. has ended?

Answers

I don’t like looking unfit so that keeps me motivated to workout

amphibians fish birds reptiles mammals insects which one is an odd one out

Answers

Answer:

Explanation:

I think it's insects. All the rest have some sort of spinal structure. They are classified as vertebrates (meaning they have a spinal structure).

Answer:

Mammals

Explanation:

Mammals are the odd ones out because they do not lay eggs. Unlike amphibians, fish, birds, reptiles, and insects, which do lay eggs.

A student has connected two generator/motors together. The student turns the crank 20 times and noticed the other crank only turns 12 times. What happened to the "missing" energy?

Answers

Answer:

eu não consigo entender essa situação o Fim dessa história só pode ter confusão dos iguais com cabeças diferentes a invés de amigas são concorrentes

I need help with this too​

Answers

Jdiduxjjxjxhxjzjjsss

What energy transformation takes place when you stretch a bungee cord?

A.
Kinetic energy transforms into potential energy.

B.
Mechanical energy transforms into sound energy.

C.
Elastic energy transforms into kinetic energy.

D.
Potential energy transforms into elastic energy.

Answers

Answer:

D.Potential energy transforms into elastic energy.

If the rotation of a planet of radius 5.32 × 106 m and free-fall acceleration 7.45 m/s 2 increased to the point that the centripetal acceleration was equal to the gravitational acceleration at the equator, what would be the tangential speed of a person standing at the equator?

Answers

Answer:

v = 6295.55 m/s

Explanation:

Given that,

The radius of a planet, [tex]r=5.32\times 10^6\ m[/tex]

The free fall acceleration of the planet, a = 7.45 m/s²

We need to find the tangential speed of a person standing at the equator.

Also, the centripetal acceleration was equal to the gravitational acceleration at the equator.

We know that,

Centri[etal acceleration,

[tex]a=\dfrac{v^2}{r}\\\\v=\sqrt{ar}\\\\v=\sqrt{5.32\times10^6\times 7.45}\\\\v=6295.55\ m/s[/tex]

So, the tangential speed of the person is equal to 6295.55 m/s.

Will Give Brainlist
Check pic for question

Answers

Ohms law = v= Ir

V= 0.02 x 4000 = 80v

Answer:

D: 80v is the anwser to the question

PLEASE HELP WITH THIS QUESTION
Which of Newton's Laws is represented in this demo?​

Answers

Answer:

Newton's first law

Explanation:

you see, when an object is in motion, it tends to stay in motion, but in your case, if a object is at rest, it usually stays at rest unless acted upon my an unbalanced force which is pulling card from under the coin extremely quick and because you pulled it extremely quick, the coin isn't light enough to be moved easily with the paper, nor enough friction and speed for the coin to continue sticking onto the piece of paper

A.K.A. the coin is heavy, which is why it did not move with the paper

Answer:

Newton's First Law - Law of Inertia

Explanation:

Newton's First Law, the Law of Inertia mentions that an object at rest will stay in rest until acted by another force. The penny's inertia will cause it to fall directly down into the cup because the magnitude of external force applied by the card will be too meager to have a notable effect.

In the Vector Addition Lab, the following data was collected for determining the displacement from the door of the Physics classroom to another location in the building: 2 m, West; 14.0 m, South; 25.0 m, East; 11.0 m, North; and 2 m, West. The magnitude of the resultant displacement from the physics classroom to the assigned location is closest to ___ meters. (Round to the nearest integer.)

Answers

Answer:

21 m

Explanation:

Since the displacement from the door is 2 m West, we have our vector as -2i. The vector representing 14.0 m South is -14.0j. The vector representing 25.0 m East is 25.0i. The vector representing 11.0 m North is 11.0j. And, the vector representing 2.0 m West is -2.0i.

So, to get our position vector at the other location, we add all the vectors together.

So, r = -2i + (-14.0j) + 25.0i + 11.0j - 2i

= -4i + 25.0i - 14.0j + 11.0j

= 21.0i -3j m

Now, if we assume the position vector for the door is at the origin, we have r₀ = 0i + 0j m

So, our displacement from the door is r - r₀ = 21.0i - 3.0j - (0i + 0j) =  21.0i - 3.0j

So, the magnitude of the resultant displacement |r - r₀| = √(21.0² + 3.0²)

= 3.0√(7.0² + 1)

= 3.0√(49 + 1)

= 3.0√50

= 3.0 × 7.0711

= 21.2

≅ 21 m to the nearest integer

Define time period. Give its formula. ​

Answers

Answer:

Part A

Time period, designated by the symbol, 'T', is defines as the time it takes for a complete cycle of an oscillation or vibration (of a wave) to transit through a given point.

The longer the time period of a wave, the lower the frequency of the wave

The unit of the time period is seconds, 's'

Part B

Mathematically, the formula for the time period is presented as follows;

f = 1/T

∴ T = 1/f

f = v/λ

∴ T = λ/v

Where;

v = The velocity of the wave;

λ = The wavelength of the wave

Explanation:

Do only number 4 and thank

Answers

To calculate a value in square feet to the corresponding value in square inches, just multiply the quantity in square feet by 144 (the conversion factor).
Here is the formula:

Why is using the same cutting and knife for both
cooked and uncooked food not a drisable?​

Answers

Answer:

It spreads diseases.

Explanation:

But when cooked food is kept on the place where uncooked meat or food was kept the germs spread to the cooked food also and as the cooked food cannot be washed it harms us as we directly consume it.

need help please... thank u​

Answers

Answer:

the answer from my side is both vertical and horizontal

Answer:

Entirely horizontal

Explanation:

The ball begins the movement with horizontal and vertical velocity, but it is subject to the gravity acceleration, that will break the movement. When it achieves the top of the path, is when the vertical velocity go to 0 and begin to grow in the opposite direction, so in the very top of the path, the velocity is entirely horizontal

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