Given the scenario: A 45 kg. object is being pushed north with a force of 8N, and at the same time, it is been pushed east with a force of 6N. What will the magnitude and direction be of the resultant vector?

Answers

Answer 1

Answer:

10 N, [tex]53.1^{\circ}[/tex] north-east

Explanation:

The two forces applied on the object are perpendicular to each other, so we can find the magnitude of their resultant by using the Pythagorean theorem:

[tex]R=\sqrt{(6 N)^2 + (8 N)^2}=10 N[/tex]

The direction of the force instead is given by

[tex]\theta = tan^{-1} (\frac{F_n}{F_e})[/tex]

where F_n is the force pointing north, and F_e is the force pointing east, and the angle is measured with respect to the east direction. Substituting,

[tex]\theta=tan^{-1} (\frac{8 N}{6 N})=tan^{-1} (1.333)=53.1^{\circ}[/tex]


Related Questions

suppose that a block is pulled 16 meters across a floor. what amount of work is done if the force used to drag the block is 22n

Answers

Work = (force) x (distance)

Work = (22 N) x (16 m)

Work = 352 Joules

Answer:

352 jules

Explanation: please leave a rating


How would the composition of an atom change if both the atomic number and mass number each increase by one?
A) The atom would have 1 more neutron.
B) The atom would have one more proton and electron.
C) The atom would have one more proton and one more neutron.
D) The atom would have one more proton, one more neutron and one more electron.

Answers

If both the atomic number and mass number each increased by one, then ...

-- the atom would have one more proton in its nucleus,

and

-- whenever it was in a neutral state, it would also have one more electron in its cloud.

choice - B

Which statement describes how rays behave when they travel through media during reflection and refraction?

During refraction, rays stay in the original medium, and during reflection, rays pass into a new medium.
During reflection, rays stay in the original medium, and during refraction, rays pass into a new medium.
During reflection and refraction, rays stay in the original medium.
During reflection and refraction, rays pass into a new medium.

Answers

Answer:

B. During reflection, rays stay in the original medium, and during refraction, rays pass into a new medium.

Explanation:

Trust me bro.

B. During reflection, rays stay in the original medium, and during refraction, rays pass into a new medium describes how rays behave when they travel through media during reflection and refraction.

What happens when light rays reflect?

Rays change direction as they reflect off the surface, move from one transparent medium to another, or pass through a medium whose composition is constantly changing.

Reflection involves changing the direction of the wave as it bounces off the barrier. Refraction of a wave involves changing the direction of the wave as it transitions from one medium to another. The refraction or curvature of a wave path involves changes in wave velocity and wavelength.

Considering the two videos we just watched, light can either bounce (reflect) through one medium and bounce (reflect) in another medium, or bend (break) as it passes through one medium and another. I have.

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which of the following describes scientific law

Answers

Answer:

A scientific law is a statement based on repeated experimental observations that describes some aspect of the world. A scientific law always applies under the same conditions, and implies that there is a causal relationship involving its elements

Answer:

An object at rest will remain at rest unless an unbalanced force acts upon it.

Study Island Answer

A 60.0 kg runner is moving at 6.00 m/s and speeds up to 9.00 m/s. The runner’s change in kinetic energy is 1,350 J.

How much work was done?

Answers

Answer:

1,350 J

Explanation:

According to the work-energy theorem, the work done equals the change in kinetic energy.  So W = 1,350 J.

A 60.0 kg runner is moving at 6.00 m/s and speeds up to 9.00 m/s. Hence, The work done on the runner is 810 J.

Given:

ΔKE = 1,350 J

The change in kinetic energy (ΔKE) is equal to the work done on the runner (W).

ΔKE = W

Given:

ΔKE = 1,350 J

ΔKE = KE(final) - KE(initial)

KE(initial) = (1/2) × m × (initial velocity)² =  (1/2) × 60.0 × (6.00)² =  540 J

KE(final) = (1/2) × m × (final velocity)² = (1/2) × 60.0 × (9.00)² =  1,080 J

Now, we can find the work done is:

ΔKE = KE(final) - KE(initial)

1,350 = 1,080 - 540 + W

1,350= 540 + W

W = 810 J

Therefore, the work done on the runner is 810 J.

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In a spontaneous reaction-
A. The reaction happens very quickly
B.Additional heat is required to make it occur
C. No additional heat is required to make it occur
D. Additional heat is absorbed from the environment

Answers

Answer:

C. No additional heat is required to make it occur

Explanation:

A reaction is said to be spontaneous if it can occur on its own. Spontaneous reactions do not require additional energy or heat from other sources to occur.

A spontaneous reaction leads to an increase in the disorderliness of a system.

We can use the free energy change of a system which measures the energy of a system used to useful work to predict the spontaneity of a reaction.

If the Free energy change is negative the reaction is said to be spontaneous or feasible.

John is creating a series circuit of Christmas lights. He wants to create a strand that has 2 fans and 20 lights. Each fan has a resistance of 5 ohms. Each light has a resistance of 3 ohms. What is the total resistance of the circuit?
A. 76 ohms
B. 66 ohms
C. 70 ohms
D. 60 ohms

Answers

Answer:C

Explanation:

Total Resistance=R1+R2

R1=2*5=10ohms

R2=3*20=60ohms

Therefore; Total R=10+60

=70ohms

Final answer:

The total resistance of the series circuit is calculated by adding the resistances of all the individual components. By calculating and adding together the total resistance for the fans and the lights, you find that the total resistance for the circuit is 70 ohms.

Explanation:

In a series circuit, the total resistance is obtained by simply adding up all the individual resistances within the circuit. Therefore, to find the total resistance of John's circuit, you need to multiply the number of each component by its resistance and add these totals together.

For the fans: 2 fans × 5 ohms per fan = 10 ohms.

For the lights: 20 lights × 3 ohms per light = 60 ohms.

Adding these two totals together gives the total resistance of the circuit: 10 ohms + 60 ohms = 70 ohms. So the total resistance of the circuit is 70 ohms, making the answer choice C. correct.

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Jake drags a sled of mass 25 kg across the snow. The sled is attached to a rope that pulls with a force of 50 N at an angle of 32 degrees. If there is no friction, what is the normal force acting on the sled? ​

Answers

Answer:

218.5 N

Explanation:

In order for the sled to be in equilibrium along the vertical direction, the forces acting along this direction must be balanced. So the equilibrium equation is:

[tex]N+F sin \theta - mg =0[/tex]

where

N is the normal force

F = 50 N is the force that pulls the sled

[tex]\theta[/tex] is the angle between the force and the horizontal, so

[tex]F sin \theta[/tex] is the component of F acting along the vertical direction

(mg) is the weight of the sled, with

m = 25 kg being the mass of the sled

g = 9.8 m/s^2 is the acceleration due to gravity

Solving the formula for N, we find

[tex]N=mg-F sin \theta = (25 kg)(9.8 m/s^2)-(50 N)sin 32^{\circ}=218.5 N[/tex]

By resolving into y - component, the normal force acting on the sled is 218.5 N.

FORCE

Force is the product of mass and acceleration. Where a frictional force is negligible, the resultant force will be equal to the force applied.

Given that Jake drags a sled of mass 25 kg across the snow. The sled is attached to a rope that pulls with a force of 50 N at an angle of 32 degrees.

If g is taken to be 9.8 m/s^2, the forces acting on the mass are:

The weight mg = 25 x 10 = 245 N

The normal reaction N = ?

The applied force F which can be resolved into x and y components

x - component = 50 x cos 32 = 42.4N

y - component = 50 x sin 32 = 26.5 N

If there is no friction, the normal force acting on the sled can be calculated by resolving all the forces into x and y component.

By resolving into y - component,

N + 26.5 = 245

N = 245 - 26.5

N = 218.5 N

Therefore, the normal force acting on the sled is 218.5 N.

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Explain what might be happening to cause the change in current as batteries are added (simulated resistors CCK question)

Answers

Adding a battery in a circute has effect of producing push from the more batteries acting together which helps to move the charged particle around the circute more quickly.

This means that the more charged particles per second pass any point in circuit and so the size of electric current is increased.

Which fundamental force keeps the nucleus of an atom from breaking apart?

A. Electromagnetic force
B. Gravity
C. Strong nuclear force
O
D. Weak nuclear force

Answers

Answer:

Strong nuclear force

Explanation:

Strong nuclear force is the answer for A P E X

How is transported soil different from residual soil? A. It forms on unconsolidated materials. B. It transports other materials. C. It has been moved from another location. D. It develops on bedrock

Answers

Answer:

C. It has been moved from another location.

Explanation:

Residual soil is that which has been formed by the weathering of the rocks in the same place where it is located, with a virtually zero displacement of the particles, while the transported soil is that which forms a loose mantle, resulting from the disintegration or decomposition of the rocks. Since it is an unconsolidated mantle, its products are transported by water, wind or ice.

Answer:Hello the correct answer for penn foster is it forms on uncosolidated materials.

Explanation:

Assuming no air resistance, all projectiles have:

A) constant vertical motion and accelerated horizontal motion.

B) constant vertical motion and constant horizontal motion.

C) accelerated vertical motion and constant horizontal motion.

D) accelerated vertical motion and accelerated horizontal motion.

Answers

Final answer:

In the absence of air resistance, projectiles exhibit accelerated vertical motion due to gravity and constant horizontal motion, as there is no horizontal force acting upon it.

Explanation:

Assuming no air resistance, all projectiles exhibit C) accelerated vertical motion and constant horizontal motion.

In physics, the motion of a projectile under gravity is divided into two components: vertical and horizontal. The vertical motion of a projectile is influenced by the force of gravity, which causes a constant acceleration downwards. This is why when a projectile is launched, it moves upwards slowing down until it reaches a peak, and then accelerates downwards as it falls. The force of gravity does not affect the horizontal motion, which remains constant assuming no air resistance.

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Final answer:

The answer is C) accelerated vertical motion and constant horizontal motion, due to gravity's constant acceleration acting vertically and no horizontal forces acting after launch.

Explanation:

The correct answer to the student's question is C) accelerated vertical motion and constant horizontal motion. In projectile motion, assuming no air resistance, the horizontal component of the motion has a constant velocity because there is no force acting in the horizontal direction once the object is in flight. However, the vertical component is influenced by the constant acceleration due to gravity (9.80 m/s2 downward). Thus, the vertical motion of a projectile is always accelerating downward at a constant rate, while the horizontal motion proceeds at a constant velocity.

One way to think about this is to imagine throwing a ball forward; the ball will move horizontally at the speed you threw it (ignoring air resistance) but will also begin to fall vertically due to gravity. This results in a characteristic parabolic motion, which is a path that the projectile follows under the influence of only constant gravitational acceleration.

A concave mirror is used to ______ ( converge, diverge) light and a convex mirror is used to _____( diverge or converge )

Answers

Answer : A concave mirror is used to converge the light and a convex mirror is used to diverge the light.

Explanation :

Convex mirror : In convex mirror, the mirror is coated inside the spherical surface. It is also known as a converging mirror.

The focus lies behind the mirror.

Concave mirrors : In concave mirror, the mirror is coated outside the spherical surface. It is also known as a diverging mirror.

The focus lies infront the mirror.

As per question, a concave mirror is used to converge the light and a convex mirror is used to diverge the light.

Hence, a concave mirror is used to converge the light and a convex mirror is used to diverge the light.

What color would correspond with the peak wavelength of a star that has an extremely high temperature?

A. Yellow
B. Blue
C. Red
D. Green

Answers

Answer:

Blue

Explanation:

The answer isssss Blue

the power in an electrical circuit is given by the equation p=lr, where l is the current flowing through the circuit and r is the resistance of the circuit. what is the power in a circuit that has a current of 12 amps and a resistance of 100 ohms?

Answers

Answer:14,400 watts :)

Explanation:

Earth has a mass of 5.97 x 1024kg, and a mean radius of 6.38 x 10m. What would be the orbita
satellite in orbit 1.44 x 108 m above Earth?
a. v, = 630m/s,
c. v, - 1630m/s,
T = 2.78 x 10 s
T=5.78 x 10s
b. V = 1820m/s,
d. V, - 1260m/s,
T = 6.78 x 106 s
T=5.78 x 10's
Please select the best answer from the choices provid​

Answers

Answer:

v = 1630 m/s

T = 5.78 x 10^5 s

Explanation:

The tangential speed of the satellite can be found by requiring that the gravitational force on the satellite is equal to the centripetal force:

[tex]G\frac{Mm}{(R+h)^2}=m\frac{v^2}{R+h}[/tex]

where

G is the gravitational constant

M=5.97 x 1024kg is the Earth's mass

m is the satellite's mass

[tex]R=6.38 \cdot 10^6 m[/tex] is the Earth's radius

[tex]h=1.44\cdot 10^8 m[/tex] is the altitude of the satellite

v is the speed of the satellite

Solving for v,

[tex]v=\sqrt{\frac{GM}{R+h}}=\sqrt{\frac{(6.67\cdot 10^{-11})(5.97\cdot 10^{24}kg)}{6.38\cdot 10^6 m+1.44\cdot 10^8 m}}=1627 m/s \sim 1630 m/s[/tex]

And the period of the orbit is equal to the ratio between the distance covered during one revolution (the circumference of the orbit) and the speed:

[tex]T=\frac{2 \pi (R+h)}{v}=\frac{2\pi (6.38\cdot 10^6 m+1.44\cdot 10^8 m)}{1630 m/s}=5.79\cdot 10^5 s[/tex]

So the correct answer is

v = 1630 m/s

T = 5.78 x 10^5 s

The struggle among living things to obtain the resources needed to live is called

a. competition
b. spontaneous generation
c. metabolism
d. homeostasis

Answers

Answer:

Competition

Explanation:

On a day when the velocity of sound is 340 m/s, a boy drops a stone from the top of a high tower. If the tower is 50 m tall, how long will it take for the boy to hear the returning sound?

Answers

Answer:

It takes 3.31 s for the boy to hear the returning sound of the stone

Explanation:

Ok, the time after which splash is heard is equal to the time acquired by the stone to reach the ground + time taken by sound to return.

First, u=0 m/s (this is the initial speed with which the stone was thrown), h=50 m (is the height of the tower) and g=10 m/[tex]s^{2}[/tex] (is the gravity)

We can use this equation that relates the free fall of the object:

[tex]h=u+\frac{1}{2} gt^{2}[/tex]

[tex]50=0+\frac{1}{2}(10)t^{2}[/tex]

[tex]50=5t^{2}[/tex]

[tex]10=t^{2}[/tex]

and [tex]t=\sqrt{10}=3.16 s[/tex]

t =3.16 s is the time it takes the stone to fall

Second, h=50 m and v=340 m/s (that it's the speed of sound)

We can use this equation:

[tex]h=vt[/tex]

[tex]t=\frac{h}{v}[/tex]

[tex]t=\frac{50}{340}=0,15 s[/tex]

t=0.15 is the time it takes for the sound to return

Finally, both times are added, obtaining the time in which the boy will hear the returning sound of the stone:

[tex]t= 3.16 s + 0.15s[/tex][tex]=3.31 s[/tex]

Which vector best represents the net force acting on +3C charge in the diagram?
A
B
C
D

Answers

-- The two negative charges both attract the positive charge at the origin.

-- The -4C charges are horizontally symmetrical, so there's no net horizontal force on the +3C at the origin.

-- However, the -4C both pull it down.

-- So the net force on the +3C at the origin is directed straight down.

The arrow labelled ' C ' represents the net force on it.

Answer:

Choice C I got it correct on the assignment.

Explanation:

ice melting is not a chemical change because​

Answers

Melting ice is not a chemical reaction, but is a physical change. There is no chemical reaction involved during the melting process, and it is still the same molecular substance.

How is a fission reactor different from a fusion reactor? A. The fuel is cheaper B. The fuel must be processed C. There is less radioactive waste D. The transportation of fuel is safer

Answers

Answer:

the answer is B ,

Explanation:  because fusion reactors in concept would use hydrogen.

The fission reactor, different from a fusion reactor. Because he fuels must be processed in the fission reactor. Option B is correct.

What is nuclear fusion?

The process by which two or more tiny nuclei unite to generate a bigger nucleus is known as a nuclear fusion reaction.

The fission reactor, different from a fusion reactor. Because he fuels must be processed in the fission reactor.

Hence, option B is correct.

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PLEASE SOMEONE HELP! Will give BRAINLIEST! If you know physics please help me! I don’t understand

Answers

Q = 3.973x10⁻⁷C.

The key to solve this problem is using the equation of a parallel plate capacitor.

C = Q/Vᵃᵇ = ε₀ A/d Where C is the capacitance, Q is the charge placed on the plates, Vᵃᵇ is the potential difference between the plates, ε₀ is the constant of the permittivity of vacuum, A is the area of the plates, and d is the separation of the plates.

Clear Q from the equation Q/Vᵃᵇ = ε₀ A/d:

Q = ε₀AVᵃᵇ/d

With ε₀ = 8.85x10⁻¹²F/m, A = 5.10x10⁻³m², Vᵃᵇ = 125.00V, and d = 1.42x10⁻⁵m

Q = (8.85x10⁻¹²F/m)(5.10x10⁻³m²)(125.00V)/1.42x10⁻⁵m = 3.973x10⁻⁷C

Herpetology is the study of what?
Birds,
Exotic animals,
Zoo habitats, Reptiles

Answers

Answer:

Herpetology is the branch of zoology concerned with reptiles and amphibians.

Answer:

birds

Explanation:

im taking the test rn

Which one of these is currently conducting manned space exploration?


A. Apollo
B. Voyager
C. space shuttle program
D. International Space Station

Answers

Answer:D.International Space Station

Explanation:

The only one still in space

Answer: D. International Space Station

Explanation: The International Space Station is currently orbiting Earth.

how does the suns energy contribute to the carbon cycle

Answers

Answer:

Photosynthesis

Light energy from the sun  stimulates photosynthesis by green plants. One major component of the carbon cycle is the reduction of the carbon (IV) oxide content in the atmosphere by plants. Plants take in Carbon (IV) oxide to use during the process of making their own food. During this process light energy is absorbed by chlorophyll and is used to convert carbon (IV) oxide and water to glucose.

This glucose is used during respiration by living organisms that give out carbon (IV) oxide. The cycle continues.

An object is 39 cm away from a concave mirrors surface along the principles axis. If the mirrors focal length is 9.50 cm, how far away is the corresponding image?

Answers

Answer:

12.6 cm

Explanation:

We can use the mirror equation to find the distance of the image from the mirror:

[tex]\frac{1}{f}=\frac{1}{p}+\frac{1}{q}[/tex]

where here we have

f = 9.50 cm is the focal length

p = 39 cm is the distance of the object from the mirror

Solving the equation for q, we find:

[tex]\frac{1}{q}=\frac{1}{f}-\frac{1}{p}=\frac{1}{9.50 cm}-\frac{1}{39 cm}=0.080 cm^{-1}\\q = \frac{1}{0.080 cm}=12.6 cm[/tex]

Sarah walks 2 kilometers north from her house to the grocery store. Then, she leaves the grocery store and walks 3 kilometers further north to her grandma’s house. She finally leaves her grandma’s house and walks home.

b. What is Sarah’s distance?

a. What is Sarah’s displacement?

Answers

Answers: B) distance=10km

A) displacement=0km

Distance is a scalar of total unit distance travelled not depending upon path taken.

Displacement is a vector of unit displacement travelled along according to the path taken. So if we go 5km north and then go another 5km south to return home we have not had any displacement as we ended back at our starting point.

Hope this helps you understand some. Any questions feel free to ask. Thank you.

Is a typical refrigerator door made of iron or aluminum? Explain.

Answers

Answer: Aluminum, because the parts that make a refrigerator are most definitely aluminum

Explanation:

A typical refrigerator door is made of steel or aluminum and not by iron. Similarly, the exterior cabinet also made of aluminum metal.

What are raw materials of refrigerator ?

The outer cabinet and door, the inner cabinet or liner, the insulation placed between the two, the cooling system, the refrigerant, and the fittings make up the majority of modern refrigerators. Aluminum or steel sheet metal that has occasionally been preprinted is used to make the cabinet and door.

Typically, the metal is bought in a coil and supplied either straight into the production process or chopped to size and fed in sheets. Like the outside cabinet, the inside cabinet is built of sheet metal or plastic.

Fiberglass or polyfoam insulation is used to fill the space between the inner and exterior cabinets. Aluminum, copper, or an alloy is used to make the compressor, condenser, coils, and fins of the cooling system.

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Astronomers classify stars according to their (1 point) distance from Earth. color, size, and absolute brightness. age and parallax. all of the above

Answers

Answer:

All of the above

Explanation:

Astronomers use all of those measures to classify stars. If you want to look more into classifying stars, check out the Hertzsprung-Russel Diagram. It covers how to identify red giants, main sequence, dwarf stars, ect. Distance from earth is typically measured in light years. The color of stars generally determines how hot they are. (Blue stars are the hottest) Also, the parallax method is used to measure stars that are closer to earth. This method relies heavily on geometry though.

Hope this helped!

An example for non periodic motion.

Answers

Answer:

Motion of tides in the sea.

Explanation:

The motion which does not repeat itself after the regular interval of time is called non-periodic motion.

Non-periodic motion refers to movement that does not repeat in a regular pattern. The Foucault pendulum is an example, as its plane of oscillation rotates due to Earth's rotation, distinguishing it from periodic motions like simple harmonic motion.

Examples of Non-Periodic Motion

An example of non-periodic motion is the motion of a projectile, such as a ball thrown into the air. Unlike periodic motion, non-periodic motion does not repeat itself in a regular pattern over time. The Foucault pendulum is a classic example of motion in non-inertial frames and is often mistaken as exhibiting periodic behavior. However, while a simple pendulum oscillates back and forth in a regular manner, the plane of oscillation of the Foucault pendulum gradually rotates due to the Earth's rotation, which is an example of non-linear motion. This slow rotation cannot be characterized by a single period, distinguishing it as non-periodic motion.

In contrast, simple harmonic motion (SHM) is a classic representative of periodic motion. An example of SHM is a mass attached to a spring that moves back and forth; its displacement can be represented as a sine wave function, indicating its periodic nature. Such systems have defining quantities like amplitude, period, and frequency, which do not apply to non-periodic motions.

Other examples of non-periodic motion might include a leaf falling from a tree, a car navigating through city traffic, or the random motion of a gas particle, which do not repeat consistently and lack a regular period.

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