A girl on a bridge throws a rock
straight down at -12.5 m/s. It hits
the ground 38.4 m below.
How much time did it take?
(Unit = s)

answer is: 1.80 as time
Vf = -30.1

Answers

Answer 1

The time that is taken for the rock to land on the ground from the given height is 1.8 seconds.

What is the time taken?

We know that we can be able to obtain the time that have been taken from the equations of kinematics. In this case, we have to consider the equations of kinematics which have occurred under gravity.

Let us recall that we have the fact the equation that ought to be used here is;

h = ut + 1/2gt^2

u = initial velocity

h = the height attained

t = time taken

g = acceleration due to gravity

We know that in this case, we have to use the equations of the kinematics that we can apply to the rock that is moving under the influence of gravity as to obtain the tome that it would take the rock to be able to land on the ground from the height that we have been given in the question.

Having listed out these parameters;

38.4 = -12.5t + (0.5 * 9.8 * t^2)

38.4 = -12.5t + 4.9t^2

Hence;

4.9t^2 - 12.5t + 38.4 = 0

t =  1.80  s

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Related Questions

Need help putting all of these in the correct spots.

Answers

Physical property- color, density, melting point, boiling point, hardness Chemical property- neutralizes an acid, reacts with base to form water, reacts with water to form gas, neutralizes a base, flammability.

What is the physical property?

A quality of matter that is unrelated to a change inside its chemical makeup is called a physical property. Density, colour, hardness, melting & boiling points, and conductivity are a few common instances of physical qualities.

How are physical properties observed?

Without altering the makeup of the substance, physical qualities can be seen or quantified. In order to observe and describe matter, physical attributes are used. The following are only a few examples of physical characteristics: appearance, texture, colour, smell, melting and boiling points, density, solubility, polarity, and many more.

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an elevator of mass m is initially at rest on the first floor of a building. it moves upward, and passes the second and third floors with a constant velocity, and finally stops at the fourth floor. the distance between adjacent floors is h. what is the net work done on the elevator during the entire trip, from the first floor to the fourth floor?

Answers

From the first floor to the fourth floor, the elevator's net work during the entire trip is -3mgh.

Given,

On the first floor of a building, an elevator with mass m is initially at rest. It ascends at a constant speed, passing second and third floors before coming to a stop at the fourth floor.

the separation between the floors is h

The distance from the first floor to the fourth floor Equals 3 hours of work = -mg(3 hours)

= -3mgh

Work Done = -3mgh

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the cliff divers of acapulco push off horizontally from rock platforms about 35 m above the water, but they must clear the rocky outcrops at water level that extend out into the water 5 m from the base of the cliff directly under their launch point. what minimum speed is necessary to clear the rocks? how long are they in the air?

Answers

The minimum speed necessary for the diver to clear the rocks 10.59m/s and the diver will be in air for about 2 seconds.

From the provided situation, we can analyze that the path of travel of the diver will be a projectile.

The maximum horizontal range is 35 meters.

And the height required is 5 meters.

We know, for a projectile,

Horizontal range R is given by U²sin(2A)/g

The height H attained is given by U²sin²A/2g

Dividing the height by range,

H/R = tanA/4

TanA = 20/7

Now, we can find,

SinA = 21.18

We know,

H = U²sin²A/2g

U²=2Hg/Sin²A

U²=2(5)(10)/(20/21.18)²

U = 10.59m/s.

The diver should start with speed of 10.59m/s to clear the rocks.

The time of flight is given by,

T = 2UsinA/g

Putting the values,

T = 2(10.59)(20/21.18)/10

T = 2 seconds.

The diver will be in air for 2 seconds.

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a projectile is launched horizontally with a speed of 80.0 m/s. if the projectile is launched from a hihg of 1.5 meter above the floor, how long does it take the projectile to hit ht efloor

Answers

The time taken by the projectile to hit the floor is 0.55 s.

What is projectile motion?

The projectile motion refers to the motion of an object or particle that is launched into a gravitational field, such as from the surface of the Earth, and travels along a curved path while only being influenced by gravity. A body is considered to be in projectile motion if it moves both vertically and horizontally (trajectory) from the point of flight to the point of landing.

This indicates that the projectile is initially thrown at a height of 1.5 meters and a speed of 80.0 meters per second.

Since the bullet is launched horizontally, the initial vertical velocity component is zero. Just figure out how long it takes something to fall 1.5 meters from a seated position. The 80 m/s is only important if you want to know where it will land on the ground. It has no bearing on the situation. We might be led to the fundamental Newtonian equation:

hf = v₀t + (a/2)t² + h₀

Here, h stands for height, v for speed, and a for acceleration. It might be difficult to resolve this for t in some circumstances, however since

v₀ = 0, this one is easy.

0 = (-9.8/2)t² + 1.5

-1.5 = -4.9t²

-1.5/-4.9 = t²

0.55 s = t

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select the best answer. the logarithmic decrement is: a. the ratio of the damping in the system to the critical damping b. the ratio of the successive amplitudes in a time series c. the ratio of the damping in one system compared to another system d. the total damping present in the system

Answers

Logarithmic decrement is the ratio of successive amplitudes in a time series.

The logarithmic decrement δ is equal to the natural logarithm of the ratio of two successive maximum deflections x of oscillating quantity in the same direction:

δ = log( [tex]x_{1} /x_{2}[/tex])

Logarithmic decrement is used to find the damping ratio of an underdamped system in the time domain. It is defined as the natural logarithm of the ratio of any two successive amplitude on the same side of the mean line.

Therefore we get that logarithmic decrement is the ratio of successive amplitudes in a time series.

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If two covalently bonded atoms move closer than a distance of the bond length, the potential energy of the atoms.

Answers

If two covalently bonded atoms move closer than a distance of the bond length, the potential energy of the atoms increases

Which bond possesses the highest possible energy?

Stronger bonds have lower potential energy than weaker ones. The weaker connection has a higher potential energy. Ionic bonds are stronger than covalent ones, hence covalent bonds have higher potential energy.

The tremendous repulsive interactions between the positively charged nuclei of the bound atoms cause the energy of the system to dramatically rise if the atoms move closer to one another than the ideal bond distance.

If there is an attractive force between the two, the potential energy will rise with more separation, but if there is a repulsive force, the potential energy will fall with greater separation.

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If a car travels 1,000 m in 60 seconds how fast is it going?

Answers

Answer:

see below

Explanation:

1000 m / 60 s = 16 2/3  m/s

the circuit breaker that protects a power window circuit opens whenever the window is lowered. technician a says the internal resistance of the motor is too high. technician b says the window regulator may be sticking causing high mechanical resistance. who is correct?

Answers

Both technicians A and B are correct. Hence, option C.

An ammeter is used to measure the electrical current in the circuit. An ammeter should be placed into series with the circuit being tested.

The ammeter can be connected either on the power side or on the ground side of the motor but the only condition is it should be connected in the series.

Internal resistance refers back to the opposition to the float of cutting-edge supplied by using the cells and batteries themselves ensuing inside the era of heat. internal resistance is measured in Ohms. the connection among inner resistance (r) and emf (e) of cell s given through. e = I (r + R)

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Disclaimer:- your question is incomplete, please see below for the complete question.

The circuit breaker that protects a power window circuit opens whenever the window is lowered. technician a says the internal resistance of the motor is too high. technician b says the window regulator may be sticking causing high mechanical resistance. who is correct?

A. A only

B. B only

C. Both A and B

D. Neither A nor B

two automobiles, each of mass 800 kg , are moving at the same speed, 18 m/s , when they collide and stick together. at what speed does the wreckage move if one car was driving north and one east?

Answers

14.14 m/s speed does the wreckage move if one car was driving north and one east

Based on the moment of momentum conservation in the x-direction,

1000 20 = (1000 + 1000) yields v _y v y = 10 m/s.

result = 14.14 m/s

What makes momentum so crucial?

An object's mass, velocity, and direction are all related by momentum. Force arises from any change in momentum. In order to ascertain the force exerted on the item, a change in momentum is utilised.

Force and momentum are distinct even though they appear to be the same physical quantity. Whether a body is being pulled or pushed, force is often defined as an outside action. The measure of how much motion there is inside a moving body is called momentum, on the other hand.

Unlike force, which refers to a push or pull action, momentum refers to the amount of motion in a moving body. Force modifies a body's momentum. While momentum varies while acceleration is constant, force does not.

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how do astronomers measure that sunspots come in north pole / south pole magnetic pairs? how do they view the sun's magnetic field? from helioseismology and doppler shifts spectral lines can be split into multiple lines, further apart the stronger the magnetic field is from neutrino telescopes revealing where the proton-proton chain is broken from the motion of iron filings naturally streaming out of the radiation zone

Answers

The Zeeman effect, a feature of atoms, is used to quantify the solar magnetic field. To do this, scientists look at the spectral lines that originate from sunspots and calculate by how much these lines are split.

The Zeeman effect is the result of a spectral line splitting into many components when a static magnetic field is present. It bears the name Pieter Zeeman after the Dutch physicist who made the discovery in 1896 and won the Nobel Prize for it. The magnetic dipole interaction between the nuclear spin moment and the internal magnetic field at the nucleus is what causes magnetic splitting (also known as the nuclear Zeeman effect). Three different varieties of the Zeeman Effect can be seen: the standard Zeeman effect, the anomalous Zeeman effect, and the diamagnetic Zeeman effect. The Zeeman effect is the splitting of atomic energy levels caused by an external magnetic field. This effect is also known as the Bohr's Magneton and is further characterised by orbital and spin angular momentum.

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a tourist being chased by an angry moose is running in a straight line toward her car at a speed of 4.6 m/s. the car is a distance d meters away. the moose is 46.5 m behind the tourist and running at a speed of 10.8 m/s. the tourist reaches her car safely. what is the maximum possible value for d in meters?

Answers

A tourist was chased by a moose and run toward her car at a speed of 4.6 m/s. As the tourist reaches her car safely, the maximum possible value of the distance between her and the car was 34.5 m

Formula:

s = v . t

Where:

s = distance

v = velocity

t = time

The tourist reached her car safely means at minimum she had the same time with the moose to reach the car.

Tourist circumstance:

distance = d

v = 4.6 m/s

time to reach the car:

t_tourist = d / 4.6

Moose circumstance:

distance = d + 46.5

v = 10.8

time to reach the car:

t_mouse = (d + 46.5) / 10.8

t_tourist = t_mouse

d / 4.6 = (d + 46.5) / 10.8

(10.8 - 4.6) d = 46.5 × 4.6

6.2 d = 213.9

d = 34.5 m

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22. Determine If you walked 20 m, took a book from a library table, turned around and walked back to your seat, what are the dis tance traveled and displacement? please answer in full sentences​

Answers

Answers:

Distance = 40 meters

Displacement = 0 meters

============================================

Reason:

The distance traveled is simply the sum of the two distances 20 and 20 to get 20+20 = 40. It's what anyone would expect when they ask "how far did the person travel in total?"

The displacement is the change in position from start to end. In this case, the student ends up back where they started, meaning no change has happened. If the teacher closed their eyes and opened them after the student gets back, then for all the teacher knows, the student hasn't moved at all.

Put another way, displacement tells us how far away the student has ended up compared to the start position. But since they went back to the start, no change has occurred.

A box measures 3 centimeters on each side and has a mass of 47 grams , what is the density

Answers

Answer:

[tex]3 \times 47 = [/tex]

141

A substance added to gasoline is found in the wells of people who live miles from a gas station. Is this an example of a point source of pollution or a nonpoint source of pollution? Explain.
I need to get it done right now

Answers

Answer:

a pipe, ditch, ship or factory smokestack.”

Explanation:

The U.S. Environmental Protection Agency (EPA) defines point source pollution as “any single identifiable source of pollution from which pollutants are discharged, such as a pipe, ditch, ship or factory smokestack.” Factories and sewage treatment plants are two common types of point sources.

to measure the speed of an airplane, a narrow strip heater is attached to the wing of an airplane 0.01 m from the leading edge. a heat flux of 300 w/m2 is electrically dissipated and the temperature difference between the heater and the surrounding air is measured to be 1 oc. assume that the temperature of the wing is uniform. what is the speed of the aircraft?

Answers

The speed of the aircraft with a narrow strip heater attached = 370.97 m/s

The distance of the strip heater attached to the wing from the leading

edge, x = 0.01 m

Heat flux, q = 300 W/m²

The temperature difference between the heater and surrounding air,

ΔT = 1°C

The properties of the air are

   The density of air, ρ = 1 kg/m³

   Specific heat at constant pressure, CP = 1 kJ /kg K

   Thermal conductivity, k = 0.02 W/mk

   Viscosity, ν = 1.5 x 10⁻⁵ m²/s

Dynamic viscosity,

                                μ = ρ.ν

                                   = 1 x 1.5 x  10⁻⁵

                                  = 1.5 x  10⁻⁵ N s / m²

           

Prandtl number,

                         [tex]\displaystyle P_r =\frac{\mu. CP}{k}[/tex]

                              = 1.5 x 10⁻⁵ x 1 x 10³ / 0.02

                              = 0.75

Heat flux,

               q = hₓ ΔT

           300 =  hₓ x 1

              hₓ  = 300 W / m² C

So, the local Nusselt number is

                      [tex]\displaystyle Nu_x = 0.332 Re_x^{1/2} P_r^{1/3}[/tex]

                 

                      [tex]\displaystyle \frac{h_x.x}{K} = 0.332 \frac{v.x}{\nu}^{1/2}P_r^{1/3}[/tex]

    where v is the velocity of the aircraft

                        [tex]\displaystyle\frac{300 * 0.01}{0.02} = 0.332 \left( \frac{v*0.01}{1.5 * 10^{-5}}\right)^{1/2} (0.75)^{1/3][/tex]

                       

By further simplifying, we get

                 

                          150 = 0.332 x 0.9085 x 25.82 x [tex]v^{1/2}[/tex]

                              v = 370.97 m/s

Therefore, the speed of the aircraft is 370.97 m/s

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what is the force of an object that has a mass of 20 kg and is accelerating at a rate of 15 m/s/s

Answers

Formula for force: F = m • a (force equals mass times acceleration)

Acceleration: 15 m/s/s
Mass: 20kg


20kg • 15 m/s/s = 300 Newtons

The element lanthanum has an isotope with an atomic mass of 138. 9 amu and an abundance of 99. 91%. A second isotope has an atomic mass of 137. 9 amu and an abundance of 0. 9%. What is the average atomic mass of lanthanum?.

Answers

The average atomic mass of lanthanum that has an isotope with an atomic mass of 138.9 amu and an abundance of 99.9 1% and a second isotope with an atomic mass of 137.9 amu and an abundance of 0.09 % is

Average atomic m = Sum of product of atomic m and % abundance /  100

For isotope 1,

Atomic mass = 138.9 amu

% abundance = 99.91 %

For isotope 2,

Atomic mass = 137.9 amu

% abundance = 0.09 %

Average atomic mass = ( 138.9 * 99.91 ) + ( 137.9 * 0.09 ) / 100

Average atomic mass = 13877.5 + 12.41 / 100

Average atomic mass = 138.9 amu

The average atomic mass or average atomic weight of an element is the weighted average mass or weight of atoms in a naturally occurring sample ( i.e., isotopes ) of the element.

Therefore, the average atomic mass of lanthanum is 138.9 amu

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An atmospheric layer of a specific gas provides shielding from harmful ultraviolet light from the sun, allowing life to thrive on earth. What gas makes up this layer?.

Answers

The gas that makes up this layer is O3 (Ozone).

The ozone layer protects the earth from most of the sun's UVB rays. Greenhouse gases are a set of gases that accumulate in the lower layer of the atmosphere the troposphere and absorb infrared radiation to increase the average temperature of the Earth's surface. At the top of the stratosphere, 30 miles up, ozone absorbs most of the sun's harmful UV rays.

At the top of the troposphere 12 miles, up ozone acts as a greenhouse gas and traps heat. The troposphere is the lowest layer of the Earth's atmosphere. Most of the atmospheric mass is in the troposphere. Most types of clouds are in the troposphere, and almost all weather phenomena occur in this layer. Greenhouse gases are so named because they absorb infrared radiation from the sun in the form of heat which circulates in the atmosphere and is eventually lost to space.

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The specific heat capacity, abbreviated with the letter , is the quantity of required to change the temperature of gram of an object by 1.

Answers

The specific heat capacity, abbreviated with C the letter , is the quantity of energy required to change the temperature of One gram of an object by 1

What is Specific Heat Capacity ?

The specific heat capacity is defined as the quantity of heat (J) absorbed per unit mass (kg) of the material when its temperature increases 1 K (or 1 °C), and its units are J/(kg K) or J/(kg °C).

The amount of heat per unit mass needed to raise the temperature by one degree Celsius is known as the heat capacity or specific heat. The ability to distinguish between two polymeric composites using specific heat is useful in calculating processing temperatures and the quantity of heat required for processing.

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If net force acting on object is 0, then the force is considered to be..

a. balanced
b. equal in direction
c. unbalanced
d. distance/time

Answers

If net force acting on object is 0, then the force is considered to be balanced (option A).

What is net force?

A net force refers to the sum of all the forces acting on an object.

The net force can accelerate a mass. Some other force acts on a body either at rest or motion. The net force is a term used in a system when there is a significant number of forces.

Fnet = F₁ + F₂ + F₃.............+ Fn

When the net force of an object is zero (0), this means that the sum of forces acting on the object is balanced. A balanced forces are forces that are opposite in direction and equal in size.

Therefore, a net force of 0 is a balanced force.

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a ball on the end of a string is whirled around in a horizontal circle of radius 0.300 m. the plane of the circle is 1.40 m above the ground. the string breaks and the ball lands 1.50 m (horizontally) away from the point on the ground directly beneath the ball's location when the string breaks. find the radial acceleration of the ball during its circular motion.

Answers

Radial acceleration of the ball during its circular motion is 41.8 m / s².

a = v ²/ r represents the circular motion acceleration.

In addition, they provide the X and Y positions at which the body will fall if the rope breaks.

x = v₀x t,

y = v₀x t-1/2gt²

because the circle is horizontal, the value of v0x is zero (v0x = 0).

X = v₀x t

t = x / v₀x

y = - 1/2 g t²

In order to determine the initial velocity on the X axis, let's replace it with y = − 12 g (x / vox) ²

v₀ₓ = √ [ (9.8) 1.6² / (21)]

v₀ₓ = 3.54 m / s

Its circle is in a horizontal position, so in addition to being the horizontal velocity, this is also the velocity of the body at the point of rupture.

The radial acceleration is now calculated using the formula

a = v² / r

a = 3.54² / 0.300

a = 41.8 m / s²

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the spacecraft voyager was launched and continues traveling in space, even though it doesn't have an engine that pushes it forward. the fact that voyager travels in space is an example of

Answers

The fact that voyager travels in space is an example of Newton's First Law of Motion.

What are Newton's Laws of Motion?

Newton's laws of motion are three basic laws of classical mechanics that describe the relationship between the motion of an object and the forces acting on it. These laws can be paraphrased as follows:

A body remains at rest, or in motion at a constant speed in a straight line, unless acted upon by a force.When a body is acted upon by a force, the time rate of change of its momentum equals the force.If two bodies exert forces on each other, these forces have the same magnitude but opposite directions.

When the voyager was launched, it was already moving forward in motion. So, because of the Newton's First law of motion the voyager remained in motion as there is no air friction present in the space to stop its motion.

Thus, this situation is an example of Newton's First law of motion.

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A woman of mass 57.6 kg is standing in an elevator.If the elevator floor pushes up on her feet with a force of 395 N, what is the acceleration of the elevator? Assume the +y-direction to be up. Enter a negative answer if the acceleration is downward and a positive answer if the acceleration is upward.If the elevator maintains constant acceleration and is moving at 1.50 m/s as it passes the fourth floor on its way down, what is its speed 4.00 s later?

Answers

There are two forces acting on the woman: the normal force of the floor of the elevator and the weight of the woman.

First, find the weight of the woman by multiplying its mass times the acceleration of gravity:

[tex]\begin{gathered} W=mg \\ =(57.6\operatorname{kg})(9.8\frac{m}{s^2})=564.48N \end{gathered}[/tex]

According to Newton's Second Law of Motion, the net force acting on an object relates to the acceleration of the object according to:

[tex]\Sigma F=ma[/tex]

Since the normal force of the floor is exerted upwards and the weight is exerted downwards, then:

[tex]\begin{gathered} \Sigma F=N-W \\ \Rightarrow N-W=ma \end{gathered}[/tex]

Isolate the acceleration from the equation:

[tex]\Rightarrow a=\frac{N-W}{m}[/tex]

Replace the values of the normal force (395N), the weight and the mass of the woman to find the acceleration of the elevator:

[tex]\begin{gathered} \Rightarrow a=\frac{395N-564.48N}{57.6\operatorname{kg}}=-2.94236\ldots\frac{m}{s^2} \\ \therefore a\approx-2.9\frac{m}{s^2} \end{gathered}[/tex]

Then, the acceleration of the elevator is 2.9 m/s^2 downwards.

Use the definition of acceleration to find the final speed of the elevator 4 seconds after the initial speed of 1.50 m/s downwards:

[tex]\begin{gathered} v_f=at+v_0 \\ =(-2.94\frac{m}{s^2})(4.00s)-1.5\frac{m}{s} \\ =-13.26\ldots\frac{m}{s} \\ \approx-13.3\frac{m}{s} \end{gathered}[/tex]

Therefore, the answers are:

The acceleration of the elevator is 2.9 m/s^2 downwards.

The final speed of the elevator 4 seconds after it had a speed of 1.50 m/s downwards, is 13.3 m/s downwards.

if you throw a 0.4 KG ball at a speed of 20 m/s what is the kinetic energy between the balls motion

Answers

A moving item possesses kinetic energy. If we want to accelerate an object, we must exert a force. Applying force requires effort on our part. Once the process is complete and energy has been transferred to the item, it will begin to move at a new constant speed.

Kinetic energy is the energy that an object has as a result of motion. It is defined as the work required to accelerate a mass-determined body from rest to the indicated velocity. Unless its speed changes, the body retains the kinetic energy it gained during acceleration.

Using the formula - K.E. = 1/2 × m × v²

K.E. = 1/2 × 0.4 × 20²

K.E. = 80 kg m/s²

The energy of motion is called kinetic energy, and it can be observed in the movement of an object, particle, or group of particles. Any moving object, such as a person walking, a baseball being thrown, food falling off a table, or a charged particle in an electric field, utilizes kinetic energy.

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Find the x-component of this
vector:
12.1 m
48.4°

Answers

The resultant distance of the vector is 12.1 m and the angle between two vectors are 48.4°. So the x-component of this vector is, Aₓ = 8.0335 m

What is vector?

Vector is a product that means a parameter has two types of property one is value second is direction. If a parameter has both then it called a vector quantity. Example: Velocity.

How can we calculate x-component of this vector?

To calculate the vector we know first this is a proper vector quantity or not. According to the question, this is a vector quantity. So it has two component, one along x axis another is y axis as shown in the picture.

We have to calculate the x-component, so we are using the formula is,

Aₓ = Acosθ

Here we are given,

A = The resultant distance of the vector = 12.1 m

θ= The angle between two vectors = 48.4°.

Now We have to calculate the x-component = Aₓ

Now we put the known values in the above equation, we get

Aₓ = Acosθ

Or, Aₓ = 12.1*cos(48.4°)

Or, Aₓ = 8.0335 m

According to the calculation we get, the x-component of this vector is, Aₓ = 8.0335 m

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Answer:

Explanation:

hey the top of me tried there hardest to find you all a answer instead of saying the person who posted this left a blank so what its just a blank stop being so rude to them they are just trying to help and they helped me on my work that i done so don't be so rude because there just trying there hardest!! :)

imagine you are outside enjoying the warm sunshine with friends. as you briefly glance up at the sun, the part of the sun that you can see directly is called its:

Answers

photosphere

bc it is





A force of 2.0 × 102 newtons is applied to a lever to lift a crate. If the mechanical advantage of the lever is 3.43, what is the weight of the crate?

Answers

A force of 2.0 × 10² newtons is applied to a lever to lift a crate. If the mechanical advantage of the lever is 3.43, then the weight of the crane would be 686 Newtons.

What is the mechanical advantage?

Mechanical advantage is defined as a measure of the ratio of output force to input force in a system, It is used to analyze the forces in simple machines like levers and pulleys.

Mechanical advantage = output force(load) /input force (effort)

As given in the problem a  force of 2.0 × 10² newtons is applied to a lever to lift a crate. If the mechanical advantage of the lever is 3.43,

The weight of the crane = 200 × 3.43

                                        = 686 Newtons

Thus, the weight of the crane would be 686 Newtons.

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a child moves on x axis at a starting point 10cm it moves till it reaches point 70cm then it goes back to 5.
What's the displacement?
What's the distance?

Answers

The displacement on x-axis is 75 cm and the distance that moved by the child is 80 cm

The term displacement refers to a shift in an object's position. It is a vector quantity with a magnitude and direction. And distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

We are given that,

Starting point of child = d₁ = 10cm

Reaching point of the child = d₂ = 70cm

Move back = 5cm

Therefore, total distance covered by a child can be given as,

Δd = 10cm + 70 cm = 80 cm

Thus, the total distance is 80cm and a child moves back 5cm then the displacement would be given as,

Displacement = total distance cover - distance move back

Displacement = 80cm - 5 cm = 75 cm

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6. What is the acceleration of a 15 kg object being pushed with 200 N of force?

Answers

The acceleration of the object will be 13.33 m/s^2.

According to Newton's second law of motion,

The magnitude of Force is equal to the product of the mass of the body and the acceleration it is given ( or achieves ).

The units of force, mass and acceleration are Newton, kg and m/s^2 respectively.

In numerical terms,

Force = mass × acceleration

i.e. F = m × a

Given,

mass of the body = 15 kg

Force applied to the body = 200 N.

Putting these values in the equation,

200 = 15 × a

=> a = 200/15

=> a = 13.33 m/s^2.

Therefore, the acceleration of the given body will be 13.33 m/s^2.

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to negotiate a flat (unbanked) curve at a faster speed, a driver puts a couple of sand bags in his van aiming to increase the force of friction between the tires and the road. will the sand bags help?

Answers

Given the fact that the friction between the van and the road would increase, then the sand bags would help.

What is friction?

The term friction has to do with the force that opposes the movement of an object on another. This in a sense implies that the frictional force is a resistive force. It can help to slow an object down and this is why the braking system of a car operates on the principle of friction.

Now, we are told that to negotiate a flat (unbanked) curve at a faster speed, a driver puts a couple of sand bags in his van aiming to increase the force of friction between the tires and the road.

The task is to determine if the sand bags would be of help. We have to note that the sand bags would help to increase the friction between the car and the road so it would definitely be of help.

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