A 5kg block is resting on the table. Find the normal force acting on the block.

49 N, up
49 N
5 kg, up
49 N, down

Answers

Answer 1

The normal force acting on the block is 49 N in upward direction

It is given that

mass of block is 5kg

And we have to find the Normal force on block

The force surfaces apply to stop solid objects from passing through one another is known as the normal force.

A contact force is a normal force. A normal force cannot be applied between two surfaces that are not in contact.

Since, block is at rest and no other force is acting on it so only force acting on it is by the table and it is in upward direction

Force = mg = 5 x 9.8 = 49 N in upward direction

Hence, normal force acting on block is 49 N in upward direction

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Related Questions

We are in an elevator going down at constant speed. All these forces are acting on us, except:

A- air drag
B- a torque
C- gravity
D- a reaction from the elevator floor

Answers

In an elevator going down at constant speed. All these forces are acting on us, except option B. a torque.

Torque is the rotational equivalent of a linear force. In some fields of study, it is also called moment, moment of force, rotational force, or rotational effect. It describes the ability of a force to effect a change in the rotational motion of an object.

Torque is the torque that interacts with the torque of the motor and measures how much of that torque is available when the motor is exerting itself. Torque is present in everyday events. B. Turning a doorknob, opening a soda bottle, using a wrench, pedaling a bicycle.

Constant speed means that the velocity does not change at all for each second of movement. The example of driving a car with cruise control shows constant speed. Constant acceleration means that the velocity increases at the same constant rate every second of his.

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According to Pascal, pressure applied to a fluid __.

Answers

According to Pascal, pressure applied to a fluid is transmitted equally in all directions.

P = F / A

P = Pressure

F = Force

A = Area

Pressure is in Pa ( Pascals ).

Force is in N ( Newtons )

Area is in m² ( Meter² )

Pascal's law states that, pressure applied to an incompressible fluid enclosed in a container is transmitted equally throughout the fluid without any change in magnitude.

Therefore, According to Pascal, pressure applied to a fluid is transmitted equally in all directions.

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A peregrine falcon dives at a pigeon. The falcon starts downward from rest and falls with free-fall acceleration. If the pigeon is 68.6 m below the initial position of the falcon, how long does the falcon take to reach the pigeon? Assume that the pigeon remains at rest. The acceleration of gravity is 9.8 m/s².​

Answers

The falcon take 14 seconds to reach the pigeon.

What are equation of motion ?

A mathematical expression that expresses the location, speed, or acceleration of a body in relation to a specified frame of reference is called as Equation of motion,

By using equation of motion

s = [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]

where, s = total distance travelled by an object = 68.6 m

g = acceleration of gravity = 9.8m/[tex]s^{2}[/tex]

t = time taken to travel the distance = ?

Therefore, t = [tex]\sqrt{2s/g}[/tex]

t = [tex]\sqrt{2*68.6/9.8}[/tex]

t = 14 seconds

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Suppose the Earth had a second moon twice as far from the Earth as our present moon. Using Kepler's 3rd Law calculate the time (period) this new moon will take to orbit the Earth

Answers

The time taken for the new moon to orbit the earth is √8 times the time taken by the present moon.

According to Kepler's third law,

[tex]T_{m} ^{2}[/tex] = ( 4 π / G [tex]m_{E}[/tex] ) r³

[tex]T_{m}[/tex] = Time taken by the moon

G = Gravitational constant

[tex]m_{E}[/tex] = Mass of Earth

r = Radius of moon

r' = 2 r

r' = Radius of new moon

[tex]T'_{m} ^{2}[/tex] = ( 4 π / G [tex]m_{E}[/tex] ) ( 2 r )³

[tex]T'_{m} ^{2}[/tex] = 8 ( 4 π / G [tex]m_{E}[/tex] ) r³

[tex]T'_{m}[/tex] = √8 [tex]T_{m}[/tex]

Kepler's third law states that square of time period of a planet's orbit is equal to the cube of semi-major axis of the orbit.

Therefore, the time taken for the new moon to orbit the earth is √8 times the time taken by the present moon.

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1. A car having an initial velocity of 12 meters per
second east slows uniformly to 2 meters per
second east in 4.0 seconds. The acceleration of
the car during this 4.0-second interval is

Answers

Answer:

5/2m/s^2

Explanation:

Acceleration is change in velocity divided by change in time. You might have seen it written like this:

ΔV/Δt

in this case, your change in velocity is -10m/s and your change in time is 4s thus your acceleration is -5/2m/s^2

Particle 1 is moving on the x-axis with
an acceleration of 3.37 m/s² in the positive
x-direction. Particle 2 is moving on the y-
axis with an acceleration of 5.18 m/s² in the
negative y-direction. Both particles were at
rest at the origin at t = 0 s.
Find the speed of particle 1 with respect to
particle 2 at 2.83 s.
Answer in units of m/s.

Answers

The speed of particle 1 with respect to particle 2 which is moving perpendicular to each other at 2.83 s is 20.89 m / s

a = v / t

v = x / t

[tex]a_{1}[/tex] = 3.37 m / s²

[tex]a_{2}[/tex] = 5.18 m / s²

t = 2.83 s

[tex]v_{1}[/tex] = [tex]a_{1}[/tex] * t

[tex]v_{1}[/tex] = 3.37 * 2.83

[tex]v_{1}[/tex] = d[tex]x_{1}[/tex] / dt = 9.54 m / s

[tex]v_{2}[/tex] = [tex]a_{2}[/tex] * t

[tex]v_{2}[/tex] = 5.18 * 2.83

[tex]v_{2}[/tex] = d[tex]x_{2}[/tex] / dt = 14.66 m / s

[tex]x_{1}[/tex] = [tex]v_{1}[/tex] * t

[tex]x_{1}[/tex] = 9.54 * 2.83

[tex]x_{1}[/tex] = 27 m

[tex]x_{2}[/tex] = [tex]v_{2}[/tex] * t

[tex]x_{2}[/tex] = 14.66 * 2.83

[tex]x_{2}[/tex] = 41.49 m

Since they are moving perpendicular to each other, they make a right angled triangle. According to Pythagoras theorem,

[tex]x_{3} ^{2}[/tex] = [tex]x_{1} ^{2}[/tex] + [tex]x_{2} ^{2}[/tex]

On differentiating with respect to t,

2[tex]x_{3}[/tex] d[tex]x_{3}[/tex] / dt = 2[tex]x_{1}[/tex] d[tex]x_{1}[/tex] / dt + 2[tex]x_{2}[/tex] d[tex]x_{2}[/tex] / dt

41.49 ( d[tex]x_{3}[/tex] / dt ) = 27 ( 9.57 ) + 41.49 ( 14.66 )

d[tex]x_{3}[/tex] / dt = ( 258.4 + 608.24 ) / 41.49

d[tex]x_{3}[/tex] / dt = [tex]v_{12}[/tex] = 20.89 m / s

Therefore, the speed of particle 1 with respect to particle 2 at 2.83 s is 20.89 m / s

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Which quantity or quantities is/are increasing for the object represented by Line B?
(1 point)
O velocity and acceleration
O velocity and position
O velocity only
velocity, position, and acceleration

Answers

Answer:

Explanation:

velocity and position

Answer:

A. Velocity and position

Took the test.

A rock is dropped from a sea cliff, and the sound of it
striking the ocean is heard 2.7 s later. If the speed of sound is 340 m/s, how high is the cliff?

Answers

The height of the cliff is 88 m.

The initial velocity of the rock, when it is dropped is V(i) = 0 m/s.

The sum of the time taken by the rock to reach the surface of the ocean from the sea cliff and the time taken by the sound of the splash of the rock to the ears of the person who threw the rock is t = 2.7 s.

The speed of sound in air is V(s) = 340 m/s.

The acceleration due to gravity is g = 10 m/s².

The displacement made by the rock during this period will be as follows if we use the kinematic equation for translational motion under gravity and assume that the time it takes the rock to reach the ocean's surface is t₁ :

d = 0 − h = V(i) × t₁ + (1/2) × (− g ) × ( t₁ )²

Since the positions of the rock are taken from the surface of the ocean.

Substituting the values in the equation.

t₁ = √ [ 2h/g ]

( t₁ )² = 2h / g

Since sound moves through the medium at a constant speed, the following is how long it will take for the sound to reach the rock-thrower:

t₂ = h / V(s)

h = V(s) × t₂

Therefore,

( t₁ )² = ( 2 × V(s) × t₂) / g

Now, since t = t₁ + t₂ , therefore, t₂ = t − t₁ .

( t₁ )² = ( 2 × V(s) × ( t - t₁ ) ) / g

( t₁ )² = 2 × ( 340 ) ×( 4.5 − t₁ ) / 10

( t₁ )² = 306 − 68 t₁

Now,

( t₁ )² - 306 + 68t₁ = 0

By using the quadratic formula,

t₁ = { − 68 ± √ [( 68 )² − 4 × ( 1 ) × ( − 306 )] } / 2 × ( 1 )

t₁ = − 68 ± 76.47 / 2

( t₁ = − 68 + 76.47 / 2 = 4.24 s) and;

( t₁ = − 68 − 76.47 / 2 = − 72.24 s )

Since time can't be negative,

t₁ = 4.24 s.

Therefore,

t₂ = t − t₁

t₂ = 4.5 s − 4.24 s

t₂ = 0.26 s

Now,

h = V(s) × t₂

h = ( 340 m / s ) × ( 0.26 s )

h ≈ 88 m

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You hike two thirds of the way to the top of a hill at a speed
of 3.5 mi/h and run the final third at a speed of 6.5 mi/h.

Answers

The correct answer is 4.14456 mi/hour.

The entire distance that an object travels in a given amount of time is the definition of average speed for that object. You can figure it out by dividing the overall distance traveled by the overall journey time.

When an object travels a distance at a variety of speeds, its average speed is the speed at which, if the object moves uniformly, it will travel the same distance in the same amount of time.

average speed= total distance / total time

total distance = 1 mile

The total time = 2 / ( 3 × 3.5 ) = 0.190 hour

time for coming = 1 / (3 × 6.5 ) = 0.05128 hour

Thus the average speed = 1 / ( 0.190 + 0.05128 ) = 1 / 0.24128 = 4.14456 mi/hour.

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A car drives 26.8 m/s south. It
accelerates at 3.75 m/s² at a
155.0° angle. How long does it
take until the car is driving directly
west?

Answers

Answer: the time for the car to drive directly south is determined as 7.15 s.

Explanation:

The time for the car to drive directly south is determined by applying the concept of slope.

slope = Δy/Δx

a = Δv/Δt

Δt = Δv/a

Δt = (26.8)/(3.75)

Δt = 7.15 s

Thus, the time for the car to drive directly south is determined as 7.15 s.

An object's position in a given coordinate system is described by the vector r = t2 i - (3t + 3) j. Assume the object moves without air resistance. What is the object's acceleration at t4 = 5 seconds? Write your answer in component form.

Answers

Explanation:

An object's position in a given coordinate system is described by the vector r = t2 i - (3t + 3) j. Assume the object moves without air resistance. What is the object's acceleration at t4 = 5 seconds? Write your answer in component form. just use the formula, if you use formula you will know how to do.

The object's acceleration at t = 5 seconds would be 2 meters/second².

What is acceleration?

The rate of change of the velocity with respect to time is known as the acceleration of the object.

An object's position in a given coordinate system is described by the vector r = t² i - (3t + 3) j,

assuming the object moves without air resistance.

displacement = t² i - (3t + 3) j

velocity = 2t i -3 j

acceleration = 2i

Thus, the object's acceleration at t = 5 seconds would be 2 meters/second².

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In general, what goes on the y-axis of a graph?
O the constant variable
O the independent variable
O the control variable
O the dependent variable

Answers

Answer:

O the dependent variable

Explanation:

The independent variable belongs on the x-axis (horizontal line) of the graph and the dependent variable belongs on the y-axis (vertical line).

Hi,

In general, what goes on the y-axis of a graph?

O the dependent variable

Which of the following statements is TRUE?
A. When muscles contract they become longer.
B. Involuntary muscle can be identified by its unique striped appearance.
C. The biceps and quadriceps are an antagonistic pair.
D. The origin of a muscle is attached to the bone that does NOT move.

Answers

D the origin of a muscle is attached to the bone that does not move

At 10–10 s during the evolution of the universe,
formed, which are elementary particles that make up protons and neutrons.

Answers

At 10⁻¹⁰ s during the evolution of the universe, quarks formed, which are elementary particles that make up protons and neutrons.

The three subatomic particles.

Generally, an atom comprises three (3) distinct subatomic particles and these include the following

Protons.Neutrons.Electrons.

What are protons?

Protons can be defined as the positively charged subatomic particles that are found in the nucleus of a chemical element and they have a magnitude of +1. Also, the number of protons in the nucleus of a chemical element always the same as its atomic number.

What are quarks?

Quarks can be defined as the elementary particles that make up both protons and neutrons, and they are the basic component of matter. Also, quarks have a charge that's approximately equal to 1.07 × 10⁻¹⁹ Coulomb.

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Complete Question:

At 10⁻¹⁰ s during the evolution of the universe, ________ formed, which are elementary particles that make up protons and neutrons.

A helicopter’s speed increases from 30 m/s to 40 m/s in 5 seconds.

What is the acceleration of this helicopter?

Answers

Answer:

2 m/s²

Explanation:

To calculate the acceleration of an object, we use the following formula:

[tex]\boxed{a = \frac{v - u}{t}}[/tex],

where:

• a = acceleration

• v = final speed

• u = initial speed, and

• t = time taken

We are told in the question that the final speed of the helicopter is 40 m/s, its initial speed is 30 m/s, and that the time it took to get from 30 m/s to 40 m/s is 5 seconds.

Therefore, using this information, as well as the formula above, we can evaluate the acceleration of the helicopter:

[tex]a = \frac{40 - 30}{5}[/tex]

  [tex]= \frac{10}{5}[/tex]

  [tex]= \bf 2 \: m/s^2[/tex]

So the acceleration of the helicopter is 2 m/s².

A sphere of radius =0.280 m and uniform charge density 151 nC/m^3 lies at the center of a spherical, conducting shell of inner and outer radii 3.50 and 4.00, respectively. If the conducting shell carries a total charge of =−11.9 nC, find the magnitude of the electric field at the given radial distances from the center of the charge distribution.

Answers

The magnitude of the electric field at the given radial distances from the center of the charge distribution is, For the first case electric field=E₁= 1211.37N/C, For the second case electric field =E₂=762.82 N/C, For the third case electric field= E₃= 3276.7 N/C, For the fourth case electric field=E₄=555.04N/C

What is electric field?

Electric field is defined in a way that a field is present in a frame. There is two electric source is present that associated with each other and make the field electrified and source of electric. It can be shown in electric per unit area.

How can I calculate the electric field?

The conducting shell carries a total charge of=Q=−11.9 nC=11.9*10⁻⁹C

A sphere of radius=R =0.280m

A uniform charge density of a sphere=ρ₁= 151 nC/m³= 151×10⁻⁹C/m³

A uniform charge density of a spheric shell,

ρ₂=Q/(4/3)π[(4.00R)³−(3.50R)³]

Or,ρ₂=3Q/4πR³[(4.00)³−(3.50)³]

Or,ρ₂=3*11.9*10⁻⁹/4π(0.280)³[(4.00)³−(3.50)³]

Or,ρ₂=6.15*10⁻⁹ C/m³

We know the law of electric field,

E=(1/4πϵ₀)*(q/r²)

(a) r₁=0.76R

The electric field, in this case, can be given as:

E₁=(1/4πϵ₀)*(q₁/r₁²)

Or, E₁=(1/4πϵ₀)*(ρ₁*{(4/3)πr₁³}/r₁²)

Or, E₁=(1/4πϵ₀)*(ρ₁*(4/3)πr₁)

Or, E₁=9*10⁹*( 151×10⁻⁹*(4/3)π*0.76*0.280)

Or, E₁= 1211.37N/C

According to the calculation, The electric field for this case is, E₁= 1211.37N/C

(b) r₂=3.65R

The electric field, in this case, can be given as:

E₂=(1/4πϵ₀)*(q₂/r₂²)

Here, q₂=Q+(4/3)π[(4.00)³−(3.50)³]

Or, q₂=11.9*10⁻⁹+(4/3)π[(4.00)³−(3.50)³]

Or, q₂=88.488*10⁻⁹C

Now, E₂=(1/4πϵ₀)*(q₂/r₂²)

Or, E₂=(1/4πϵ₀)*(88.488*10⁻⁹/(3.65*0.280)²)

Or, E₂=762.82 N/C

According to the calculation, The electric field for this case is, E₂=762.82 N/C

(c) r₃=2.30R

The electric field, in this case, can be given as:

E₃=(1/4πϵ₀)*(q₃/r₃²)

In this case, electric charge enclosed by the Gaussian surface is given by: q₃=151×10⁻⁹C/m³

Now, E₃=(1/4πϵ₀)*(q₃/r₃²)

Or, E₃=(1/4πϵ₀)*(151×10⁻⁹/(2.30*0.280)²)

Or, E₃= 3276.7 N/C

According to the calculation, The electric field for this case is,  E₃= 3276.7 N/C

(d) r₄=4.50R

Here, q₄=Q+(4/3)π[(4.00)³−(3.50)³]

Or, q₄=11.9*10⁻⁹+(4/3)π[(4.00)³−(3.50)³]

Or, q₄=88.488*10⁻⁹C

Now, E₄=(1/4πϵ₀)*(q₄/r₄²)

Or, E₄=(1/4πϵ₀)*(88.488*10⁻⁹/(4.50*0.280)²)

Or, E₄=555.04N/C

According to the calculation, The electric field for this case is, E₄=555.04N/C

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Calculate the frequency of a 1.77-Angstrom x-ray photon.

Answers

The frequency of a 1.77-Angstrom x-ray photon is 1.694×10^18hz.

AS, we can see, the wavelength given of x ray photon

[tex]\lambda[/tex]=1.77-Angstrom = 1.77×10^-10

we know the relationship betwee frequency and lambda

c=λν

ν=c/[tex]\lambda[/tex]

ν is frequency , [tex]\lambda[/tex] is wavelength, and c is speed of light

c= 3×10^8m/s

now put the value in equation:

ν= 3×10^8m/s÷1.77×10^-10

ν=1.694×10^18hz

When a wave travels from one place to another, its frequency describes how frequently a medium particle vibrates. The frequency of a wave may be calculated mathematically by counting how many full oscillations are produced during its propagation in one unit of time. The number of waves that pass a given location in a unit of time may thus be used to characterize it.The unit of frequency is cycles per second or vibrations per second. Hertz (Hz), a different frequency measurement unit, is named after German scientist Heinrich Rudolf Hertz.

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The tailgate of a car is supported by the hydraulic lift BC. If the lift exerts a 132-lb force directed along its centerline on the ball and socket at B, determine the moment of the force about A.

Answers

The moment of the force about point A found using the moments formula, [tex]|M| = |F| \cdot \: d \perp[/tex] is 67.695 ft–lb.

What is the moment of a force?

The moment of a force is the turning effect of the force about a point.

The moment of the force is given by the formula;

[tex]|M| = |F| \cdot \: d \perp[/tex]

Where;

d = The perpendicular distance from the point to the line of action of the force.

The length of the sides of ∆ABC are;

AB = √(20.5²+4.38²) ≈ 20.9626907

BC = √(17.2²+7.62²) ≈ 18.812347

AC = √((7.62+4.38)²+(20.5-17.2)²) ≈ 12.4454811

The semi–perimeter of triangle ABC = (20.9626907 + 18.812347 + 12.4454811)/2 ≈ 26.1102594

The area, A, of triangle ∆ABC found using Heron's formula is therefore;

A = √((26.1102594×(26.1102594-20.9626907)×(26.1102594-18.812347)×(26.1102594-12.4454811)) ≈ 115.773

The perpendicular distance, d, from point A to BC is therefore;

d = A/(BC)

Which gives;

d = 115.773/18.812347 ≈ 6.15409696

The magnitude of the moment about point A is therefore;

M = 132 lb × 0.51284138 ft. ≈ 67.695 ft.–lb

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Questions
High-speed video can record sporting events at a
frame rate of 60 frames per second (frame/s).
What is the time interval between one frame
and the next?
8
a
b
If we can see 24 frame/s as continuous motion,
by what factor can the action recorded at
60 frame/s be slowed down and still look
continuous?

Answers

The time interval between one frame and the next is 1/60 second and it needs to be slowed down by a factor of 2.5.

The unitary method's formula is to identify the value of a single unit, then multiply that value by the number of units to obtain the required value.

The frame rate of a high-speed video while recording sporting events is 60 frames per second.

Let's say the time interval between one frame and the next is x.

Using the unitary method,

60 frames → 1 sec

1 frame → x second

So, x = 1/ 60 second

Now, in continuous motion, we can see 24 frames per second.

60 frames per second need to be slowed down to 24 frames per second.

Therefore the factor will be:

= ( 60/24 ) = ( 15/6 ) = ( 5/2 ) = 2.5

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the angle of incidence for a ray of light from air to water interface is 40 degree. if the ray travels through the water with a refractive index of 1.33, calculate the angle of refraction.

Answers

Answer:

N1 Sin θ1 = N2 sin θ2        Snell's equation

Sin θ2 = 1 / 1.33 * Sin 40

Sin θ2 = .752 * .643 = .483

θ2 = 28.9 deg

Jack and Jill ran up the hill at 3.3 m/s. The horizontal component of Jill's velocity vector was 2.5 m/s.
what is the angle of the hill

Answers

Answer:

2538263

Explanation:

when I divide it this is the answer I got

A truck driver attempting to deliver some furniture travels 5 km east turns around and travels 3 km west and then travels 17 km east to his destination. What distance has a driver traveled answer in km?

What is magnitude of the drivers total displacement? answer in Im

Answers

Answer:

pp

Explanation:

hahahahhahahhahahahahahaahhahaha..  tbh

A person walks the path shown below. The total trip consists of four straight-line paths.
Path 1 is 40.0 m due east.
Path 2 is 230.0 m due south.
Path 3 is 110.0 m 30.0° south of west.
Path 4 is 180.0 m 60.0° north of west.
At the end of the walk, what is the person's resultant displacement?

Answers

The resultant displacement is  (- 145 i - 130 j )m and the angle made by the resultant is 46° west of the South, this can be found using the polygon law of vector addition.

What are vectors?

Physical quantity that has both magnitude as well as direction a vector is represented by a line ending with an arrow head where the length of the line represents the magnitude of the vector and the direction of the arrowhead represents the direction of the vector.

What is the polygon law of vector addition?

If two or more vectors are joined head to tail then the polygon law of vector addition states that the resultant of such a vector will be given by the vector addition of all the vectors present in the polygon.

Given:

Magnitude of vector 1 pointing south = 40m

Magnitude of vector 2 pointing south = 230 m

Magnitude of vector 3 pointing south of west = 110m

Magnitude of vector 4 pointing north of west = 180 m

Using the polygon law of vector addition we get,

The resultant displacement = vector 1 + vector 2 + vector 3 + vector 4

The resultant displacement = 40 i - 230 j - 110 × cos 30 i - 110 × sin 30 j- 180 × sin 60 j + 180 × cos 60

The resultant displacement = 40 i - 230 j - 95 i - 55 j + 155 j - 90 i

The resultant displacement = ( - 145 i - 130 j )m

To find the angle of the resultant vector we will use tangent trigonometric ratio.

Tan x = (-145)/(-130)

Tan x = (145)/(130)

x = 46° to west of South

Where,

x is the angle made by resultant vector with the vertical axis.

Therefore, the resultant displacement is  ( - 145 i - 130 j )m and the angle made by the resultant is 46° to the west of the South.

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Where should be the best fit line be drawn on a scatterplot?
A. In the center of the data
b. below the data
c. above the data.
d. none of these​

Answers

A line of best fit is a straight line drawn through the most points on a scatter plot, with an equal number of points above and below the line. It is used to investigate the nature of the relationship between two variables. The correct option is d.

What is line of best fit?

A straight line with the best fit is one that minimizes the distance between it and some data.

In a scatter plot of varying data points, the line of best fit is used to express a relationship. It is a result of regression analysis and can be used to forecast indicators and price movements.

It is important to note that your line does not need to pass through any of the points on the plot; it only needs to bisect the area that contains the data points.

Thus, none of the options are correct, the correct one is d.

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A ball is dropped from the top of a 82-m-high building. What speed does the ball have in falling 3.6 s?

Answers

The speed of the ball have in falling 3.6 s is 35.5 m/s.

What is the speed of the ball?

The speed of the ball is calculated using the equation of a body falling under the influence of gravity or velocity of free fall.

The equation of the motion of the body is given as follows:

v = u - gt

where;

u is the initial velocity

g = acceleration due to gravity

t = time

v = final velocity

Assuming u = 0 m/s, g = 9.8 m/s², t = 3.6 s

v = 0 - 9.8 * 3.6

v = 35.5 m/s

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What would the motion look like for a person starting 0.4 m away and walking at a constant speed of 0.5 m/s away from the motion detector?

Answers

The motion of the person on a velocity time graph would show a flat portion which indicates that there is no change in the speed.

What is constant velocity?

If the person moves at constant velocity, it implies that the velocity is not changing with time. This implies that the person does not change speed and that the acceleration of  the person is zero.

Accordingly, the motion of the person on a velocity time graph would show a flat portion which indicates that there is no change in the speed of the object with time as the person moves.

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What is a magnitude of the vectors for A and B?

Answers

The magnitude of a two dimensional vector represented by r = xi + yj is  r = √(x² + y²) and The magnitude of a three dimensional vector represented by r = xi + yj + zk  is  r = √(x² + y² + z²)

What is a vector?

A vector is a physical quantity that has both magnitude and direction

What is the magnitude of a vector?

A two dimensional vector represented by r = xi + yj has the magnitude r = √(x² + y²) where

x = x component of vector r and y = y component of vector r.

Also, a three dimensional vector represented by r = xi + yj + zk has the magnitude r = √(x² + y² + z²) where

x = x component of vector r  y = y component of vector r and z = z component of vector r.

Given a vector r = 3i + 4j, we find its magnitude thus r = √(x² + y²) where

x = 3 and y = 4

So, r = √(x² + y²)

r = √(3² + 4²)

r = √(9 + 16)

r = √25

r = 25 units

Also, given a vector r = 3i + 4j + 5k, we find its magnitude thus r = √(x² + y² + z²) where

x = 3 y = 4 andz = 5

So, r = √(x² + y² + z²)

r = √(3² + 4² + 5²)

r = √(9 + 16 + 25)

r = √(25 + 25)

r = √50

r = 5√2 units

So,

The magnitude of a two dimensional vector represented by r = xi + yj is  r = √(x² + y²) and The magnitude of a three dimensional vector represented by r = xi + yj + zk  is  r = √(x² + y² + z²)

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Why does redshift occur?

Answers

Answer:

As an object moves away from us, the sound or light waves emitted by the object are stretched out, which makes them have a lower pitch and moves them towards the red end of the electromagnetic spectrum, where light has a longer wavelength.

Explanation:

Doppler shift example: Sound waves from a police car siren. The car is driving forwards. The sound waves in front of the car get bunched up and the sound waves behind the car get stretched out.

In the case of light waves, this is called redshift

It takes less force to push an empty wagon than a full one
O First Law of Motion
O Second Law of Motion
O Third Law of Motion
O Law of Gravity

Answers

Answer:

Third law of motion

Explanation:

because his third law states that for every action (force) in nature there is an equal and opposite reaction. so when the wagon is empty you only have to give a less power

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If there are 7.5x1013 cells in a human body and the average cell diameter is 1×10-5 meter, how long would the string of cells be if you stretched them out in a single line?

Answers

The length of the total cells in the human body when all the cells are stretched out is 7.5 x 10⁸ m.

What is human cells?

Cells are the basic building blocks of all living things, including humans. The human body is composed of trillions of cells with  average cell diameter of 1 x 10⁻⁵ m.

The length of the total cells in the human body when all the cells are stretched out is calculated as follows;

total length of the cells = average diameter of a cell x number of cells

total length of the cells = 1 x 10⁻⁵ m x 7.5 x 10¹³

total length of the cells = 7.5 x 10⁸ m

Thus, the length of the total cells in the human body when all the cells are stretched out is 7.5 x 10⁸ m.

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