forces if magnitude 2,5 and 4 units lie in the direction 45°,90° and 135° respectively. Find: A. the magnitude. B. the direction of their resultant​

Answers

Answer 1

A. The magnitude is 9.47N

B. The direction of the resultant force is 90°

We use vectors in answering this question.

F₁ = 2N     45°

F₂ = 5N     90°

F₃ = 4N.    135°

For the magnitude, we use vector addition twice

Consider forces F₁ and F₃

Notice that F₁ and F₃ are at right angles to each otherUsing vector summation, the net forces of F₁ and F₃ say F₀ is the square root of the summation of the squares of F₁ and F₃

                       F₀ = 4.47N

Since F₁ and F₃ are at 45° and 135° respectively, their net force F₀ is at 90°, along the line of F₂

Fnet = F₀ + F₂ = 4.47 + 5 = 9.47N

A. The magnitude is 9.47N

B. The direction of the resultant force is 90°

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Related Questions

How would the number 13,900 be written using scientific notation?
a. 13.9 x 104
C.
b. 1.39 x 104
1.39 x 10³
d. 1.39 x 105
Which one is it??

Answers

Answer:

um d. but I am guessing this ans

what should be done to protect forest ?​

Answers

Plant trees on places where forests have been chopped down to restore damaged ecosystems. Encourage individuals to live in a way that is environmentally friendly. Create parks to conserve the rainforests and animals. Companies that operate in environmentally friendly methods should be supported.

Preventing deforestation, planting trees where they need to be planted (ex. if they have been taken out of the ground, they should be replanted) and if they can’t be replanted, they should plant new ones. People should reserve parts or wholes of the forests and help take care of them :))

The farther you bring charged objects​

Answers

Answer:

Weaker, stronger

Explanation:

hope this helped!

Answer:

[tex]\fbox {weaker, stronger}[/tex]

Explanation:

The farther you bring charged objects from each other, the weaker the electrical force between them, and the bigger the charges on the objects, the stronger the electrical force between them.

Proving

Here we need the formula for Coulomb's Law, which is :

[tex]\boxed {F = \frac{1}{4\pi\epsilon_{0}}\times\frac{q_{1}q_{2}}{r^{2}}}[/tex]

As we can see, when the distance increases, the overall force will decrease as they are inversely proportional.

Similarly, as the product of charges is directly proportional to the electrical force produced, as the charges increase, the force increases.

the 12-lead ecg shows st-segment elevation in leads v2 and v3 of ≥ 0.2 mv. what is this finding indicative of?

Answers

The 12-lead ECG test that shows st-segment elevation in leads v2 and v3 of ≥ 0.2 mv, could be a diagnostic for myocardial infarction.

What is 12 - lead ECG test?

A 12-lead electrocardiogram (ECG) is a medical test that is recorded using leads, or nodes, attached to the body.

Electrocardiograms, sometimes referred to as ECGs, capture the electrical activity of the heart and transfer it to graphed paper.

When a 12-lead ECG shows st-segment elevation in leads v2 and v3 of ≥ 0.2 mv, it could be a diagnostic for myocardial infarction.

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You have a wooden bench in your living room. You set your backpack on the bench and lean your hand against the wall. Name two action-reaction pairs that are present in this situation

Answers

The action-reaction pairs in the given situation are:

the backpack and the bench the and and the wall

What are action-reaction pairs?

Action-reaction pairs are two forces which are equal but oppositely directed in their line of action.

Action-reaction pairs are according to Newton's third law of motion.

The action-reaction pairs in the given situation are:

the backpack and the bench the and and the wall

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durning which type of process does pressure remain consistent

A.Isothermal
B.isolated
C.Adiabatic
D.Isobaric

Answers

Answer:

[tex]\fbox {D. Isobaric}[/tex]

Explanation:

The process during which pressure remains constant is called an isobaric process.

Option D.during Isobaric process pressure remains consistent

Explain how differences in air pressure allows us to breathe

Answers

Difference in air pressure helps us by contraction and relaxation of lungs  which forces air in and out of the lungs.

What is pressure?

The pressure is the amount of force applied per unit area. It is represented as

Pressure p = Force/Area

The atmospheric pressure is constant. The flow of air is determined by how much above or below atmospheric pressure. The pressure inside the lungs rises or falls. The diaphragm in the lung contracts and relaxes  which forces air in and out of the lungs.

Hence, the person uses diaphragm of lungs to breathe.

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Suppose the resistance of a copper wire is 1.05 ohms at 30°C. Find the temperature at which the resistance becomes 1.50 ohms.​

Answers

Suppose the resistance of a copper wire is 1.05 ohms at 30°C. the temperature is mathematically given as

T=139.89

What is the temperature at which the resistance becomes 1.50 ohms.​?

Generally, the equation for the coefficient of change is mathematically given as

[tex]\mu_k= 0.2+(0.043)3\\\\\mu_k=0.2+(0.043)(4.343)[/tex]

[tex]\mu_k=0.387[/tex]

In conclusion, the Temperature of copper

[tex]R=R_0( 1+ \alpha(T-T1))[/tex]

1.5(1+0.005(T-30))

T=139.89

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Two cars, with the same mass and traveling at the same speed, hit large trees head-on. One car has a rigid body that undergoes little or no deformation in the collision. The other has ``crumple zones'': portions of the body designed to crumple and deform in such a collision. How does this improve the chances that the driver of the second car will survive the event

Answers

The crumple zones in the second car will improve the chance of survival of the driver because it will act as shock absorber, reducing the impact of the force on the driver.

Newton's third law of motion

According to Newton's third law of motion, action and reaction are equal and opposite.

The car with rigid body will exert maximum force to the driver while the car with crumple zone will exert lesser force to the driver since the crumple zone will act as shock absorber, reducing the impact of the force on the driver.

Thus, the crumple zones in the second car will improve the chance of survival of the driver because it will act as shock absorber, reducing the impact of the force on the driver.

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a lunar probe is moving 1670 m/s at a 73.0 angle. it needs to land on the moon 3.71 x 10^8 m away in a 46.0 direction in 8.64 x 10^4 s. what is the magnitude of the acceleration that the engine must produce?

Answers

The magnitude of the acceleration that the engine must produce is  0.065 m/s².

What is acceleration?

Acceleration is given by the ratio of Resultant or total force acting on any object and the its mass.

It can also be defined as the rate change of velocity with time.

acceleration a = (Δv) / (Δt)

Given is a lunar probe is moving 1670 m/s at a 73° angle. it needs to land on the moon  3.71 x 10⁸ m away in a 46° direction in 8.64 x 10⁴ s.

The initial velocity will be

1670 x cos (73°-46°) = 1487.981 m/s

Using the second equation of motion, we have

s = ut + 1/2 at²

The final velocity will be zero after landing on Moon.

Substituting the values, we have

3.71 x 10⁸=  1487.981 x  8.64 x 10⁴ + 1/2 a ( 8.64 x 10⁴)²

Solving the equation, we get

acceleration, a = 0.065 m/s²

Thus, the magnitude of the acceleration that the engine must produce is   0.065 m/s²

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Answer:

The direction is 30.6

Explanation:

In one day, a large tree sheds 82 gallons of water through its leaves into the atmosphere. how many cubic meters of water is this?

Answers

Answer:

0.372779 cubic meters

Explanation:

Answer:

.3104 m^3

Explanation:

1 gal (US) = .00378541178 m^3

The compass uses a pendulous system to improve?

Answers

The compass is designed and developed to use a pendulous system to improve horizontality.

What is a compass?

A compass can be defined as a scientific instrument that contains a magnetized pointer, which is used to show and indicate the following four (4) main cardinal directions:

North (N)South (S)West (W)East (E)

Basically, the compass is a scientific instrument that's designed and developed to use a pendulous system to improve horizontality.

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A proton moves in the negative x-direction through a uniform magnetic field in the negative y-direction what is the direction of the magnetic force acting on the proton?

out of the page
into the page
in the positive y-direction
in the negative y-direction

Answers

Okay thank goodness for the reason why I am not trying it out lol I love

A 10-cm long pencil is placed upright 50 cm from a concave mirror with focal length 0.50 m. What will be
the characteristics of any image that is formed?

Answers

A virtual and erect image is formed by concave mirror.

What is focal length?

The focal length of the mirror is the distance between the lens and the image sensor.

It is also defined as the distance from a lens or mirror to the focal point.

It is also stated by the formula

[tex]\frac{1}{y} +\frac{1}{u} = \frac{1}{f}[/tex]

u = -50 cm and f = 0.50 m (50cm)

[tex]\frac{1}{v} +\frac{1}{-50} =\frac{1}{50}[/tex]

v= -50 cm

where - sign shows that image is virtual.

Magnification  m= [tex]\frac{v}{u}[/tex]

m = -50/50

m = 0

hence, virtual and erect image will be formed.

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What did johannes kepler contribute to the study of planets? he formulated the universal law of gravitation. he identified the first moons of jupiter. he collected detailed data that led to the proposal of the heliocentric model. he provided mathematical support for the heliocentric model.

Answers

Johannes Kepler contributed to the study of planets : He provided mathematical support for the heliocentric model.

What is Kepler's first law of planetary motion?

Kepler's first law of planetary motion states that the planets revolve around the Sun in orbits elliptical in shape with the Sun at its one of the focus.

As the planets rotate around the Sun, the relative distance between the Sun and planets increases and decreases.

The heliocentric model in which the Earth and planets revolve around the Sun at the center of the universe. Johannes gave the mathematical calculations of this model.

Thus, last option is correct.

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Answer:

D

Explanation:

Prakash kicks a ball of mass 500 g which moves with a velocity of 10 m/s. Passang kicks the same ball and it moves with a velocity of 20 m/s. Compare the kinetic energy acquired by the ball in the two cases. TL Thou Prakash kicks a ball of mass 500 g which moves with a velocity of 10 m / s . Passang kicks the same ball and it moves with a velocity of 20 m / s . Compare the kinetic energy acquired by the ball in the two cases . TL Thou​

Answers

Answer:

750

Explanation:

The kinetic formula is 1 over 2 *mass * velocity Square

An extraterrestrial civilisation lives on a planet with a very elliptical orbit. Additionally, thousands of large asteroids orbit their solar system. The civilisation uses the light from their home star to count the number of asteroids in the direct line between the star and their planet. For a first measurement, they count the asteroids for 60 days and detect 1000 objects. Several months later, they start a second measurement: This time, they count for 80 days. How many asteroids will they detect during the second measurement? Explain why. (Note: Assume that the asteroids are homogeneously distributed in their solar system.)





i will mark as a brainiest please help me as soon ​

Answers

For Kepler's third law this can be solved as normal ratios

1000/60=x/80100/6=x/806x=8000x=8000/6x=1333.34asteroids

The number of asteroids which will be detected during the second measurement is 1333.34.

What is an Asteroid?

These are referred to objects which revolve round the sun and are characterized by their small rocky shape.

Kepler's third law can be used to solved it using normal ratios

1000/60=x/80

100/6 = x/80

6x = 8000

x= 8000/6

x=1333.34asteroids

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define reference point

Answers

Answer:

A reference point is a place or object used for comparison to determine if something is in motion. An object is in motion if it changes position relative to a reference point.

Hope this helps:)

We have an Atwood device, two blocks connect by a string strung over a pulley, but the twist this time is that both blocks are on perfectly smooth inclines. The upper block is on an incline 15 degrees to the horizontal and has a mass of 7kg. The lower block is on an incline of 65 degrees to the horizontal and has a mass of 11kg. Find the acceleration of the system?

Answers

The Acceleration of the system is 6.41 m/s².

Given,

α= 15°, m₁ = 7kg

β= 65°, m₂ = 11 kg

Let, a be the acceleration and T is the tensions at the end it's the cord.

Let, the mass m₂ be coming down along the inclined plane along the inclined surface towards downward m₂g sin β and the tension in the upward direction,

Resultant force, m₂a=m₂g sin β -T

11a=((11) ×g sin 65°) -T  ...(i)

Now, considering the motion of m₁ which moves downwards, the forces are m₁g sinα, and T both are acting downwards.

Resultant force m₁a = m₁g sin α+T

7a =7g sin 15°+T  ...(ii)

Solving both the equations by adding them,

18a=11gsin 65°+7g sin 15°-T+T

18a=11gsin 65°+7g sin 15°=115.45

a=115.45/18=6.41 m/s²

Hence, the Acceleration of the system is 6.41 m/s².

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51. A balloon starts rising from the ground, vertically upwards, uniformly at the rate of 1 m s-1. At the end of 4 seconds, a body is released from the balloon. Calculate the time taken by the released body to reach the ground. 51. A balloon starts rising from the ground , vertically upwards , uniformly at the rate of 1 m s - 1 . At the end of 4 seconds , a body is released from the balloon . Calculate the time taken by the released body to reach the ground​

Answers

Answer:

4s

Explanation:

when a bOdy rises into the air,the time it takes to reach a particular height is the same as the time it will take the body to fall from that height to the ground.

The strength of a magnetic field around a wire carrying a current of 20 A is 0.004 T. What is the strength of the magnetic field if the current is changed to 40 A ?

Answers

Given the increased current, the strength of the magnetic field around the wire carrying the current increases to 0.008T

What is the strength of the magnetic field if the current is changed to 40 A ?

Given that;

First scenario

Strength of magnetic field B = 0.004TCurrent A = 20A

Second scenario

Strength of magnetic field B' = ?Current I' = 40A

First, we determine the strength of the magnetic field.

B/I = B'/I'

0.004T/20A = B'/40A

B' = ( 0.004T × 40A ) / 20A

B' = 0.16AT / 20A

B' = 0.008T

Given the increased current, the strength of the magnetic field around the wire carrying the current increases to 0.008T

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Why is CH4 not a suitable proxy for the surface pressure?​

Answers

Explanation:

Methane (CH4) is 30 times stronger than carbon dioxide as an absorber of infrared radiation.

Answer:

The main reasons why CH4 has a higher vapor pressure at a given temperature when compared to CH3Cl is that CH4.

And Is 30 Times Stronger than Carbon dioxide...

Explanation:

Hope It Helps!!!

a note of frequency 200Hz has a velocity of 400m/s. what is the wavelength of the note​

Answers

Answer:

[tex]\huge\boxed{\sf \lambda = 2 m}[/tex]

Explanation:

Given data:

Frequency = f = 200 Hz

Velocity = v = 400 m/s

Required:

Wavelength = λ = ?

Formula:

v = fλ

Solution:

Put the givens in the formula

400 = (200)λ

Divide 200 to both sides

400/200 = λ

2 m = λ

λ = 2 m

[tex]\rule[225]{225}{2}[/tex]

matter falling into a black hole arranges itself in the shape of a ____.

Answers

Matter falling into a black hole arranges itself in the shape of a disk that is thick at the outer edge, thin along the inner ring.

What is black hole?

A black hole is a region of space time where gravity is so strong that nothing or  no particles or even electromagnetic radiation such as light can escape from it.

Thus, matter falling into a black hole arranges itself in the shape of a disk that is thick at the outer edge, thin along the inner ring.

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5. On a hot summer day the grass feels cooler than the sidewalk, because
O
O
the grass has a higher specific heat
the grass has a smaller surface area
the sidewalk is at a higher temperature

Answers

Answer:

because the side walk is at high temperature

You are riding a bicycle you apply forward force of 50 n, and you and the bicycle have a combined mass of 100kg. What is the acceleration of the bicycle?

Answers

Answer:

a = 0.5m.s²

Explanation:

Fnet = m×a

50 = 100×a

a = 0.5

Many medicines started out as natural products. Aspirin was originally made from _______________

A. The bark of the willow tree
B. Poppies
C. Mold
D. The foxglove flower.

Answers

The answer will most definitely be D

Answer:

A

Explanation:

ASA was found in the bark of willow trees.

which of the following best decribes ​

Answers

A b or c I love d n me l101

Which processes occur during the second stage of technological design? Check all that apply.
designing a solution
studying relevant information
rebuilding and retesting
reporting a solution
defining criteria of success
identifying a problem
building a prototype

Answers

Answer:

designing a solution

Explanation:

after knowing & identifying a problem we start putting a solution

a girl swims along the length of 80m in swimming pool and comes back in 1.5sec. find her distance and displacement​

Answers

the distance is the first 80m+the second 80m she came back. So the distance is 160m. but the displacement is 0, because she came back by the direction she went.

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