A car accelerates from rest at 5.75m/s2 for 4.4 sec when it runs out of pavement and runs into some mud. In the mud it accelerates to rest at -5.5m/s2. How far did it move from the beginning to the end? Give a variable legend for this problem. The model for this problem?

Answers

Answer 1

Answer:

113.85 m

Explanation:

When the car is on the pavement:

v₀ = 0 m/s

a = 5.75 m/s²

t = 4.4 s

Find: Δx and v

Δx = v₀ t + ½ at²

Δx = (0 m/s) (4.4 s) + ½ (5.75 m/s²) (4.4 s)²

Δx = 55.66 m

v = at + v₀

v = (5.75 m/s²) (4.4 s) + 0 m/s

v = 25.3 m/s

When the car is in the mud:

v₀ = 25.3 m/s

v = 0 m/s

a = -5.5 m/s²

Find: Δx

v² = v₀² + 2aΔx

(0 m/s)² = (25.3 m/s)² + 2 (-5.5 m/s²) Δx

Δx = 58.19 m

The total displacement is therefore:

55.66 m + 58.19 m = 113.85 m


Related Questions

What is universal constant (G)

Answers

Universal Gravitational Constant(G)

Gravitational constant is a constant of proportionality when F(Gravitational force) is proportional to product of masses and inversely proportional to the distance between them.

It can be defined as:- Universal gravitational constant is the magnitude of the force between a pair of 1 kg masses that are kept 1 metre apart.The SI unit of G is N m²/kg² and the CGS unit of G is Dyne cm² / g².

Do you know?

The value of G (universal gravitational constant) was found out by the scientist Henry Cavendish by using the sensitive torsion balance[tex].[/tex]

━━━━━━━━━━━━━━━━━━━━

Answer:

Here is the answer. Hope this helps you!

Explanation:

Now, from Universal law of gravitation, we come to know that:

F= force of attraction

M = the object with greater mass (taken from centre of the objects)

m = object with smaller mass (taken from centre of the objects)

d = distance (taken from centre of the objects)

F ∝ Mm

F ∝ 1/d²

Therefore, we get the formula

F ∝ Mm/d²

F = GMm/d²

Here, G is the constant of proportionality. It also accepted as the Universal gravitation constant. It has a value of 6.67*10^-11 Nm^2/kg^2.

The universal gravitation constant has allowed us to use the above formula to help us calculate and come to know about

the force that binds us to the earththe motion of moon around the earththe motion of planets around the sunthe tides on earth caused by the moon and the sun.

Alpha Centauri has an apparent magnitude of -0.27, whereas the apparent
magnitude of Alpha Crucis is 0.77. Identify which star appears brighter when observed from
Earth. Explain your answer.

Answers

Answer:

The star, Alpha Crucis, is brighter than the star, Alpha Centauri, when observed from Earth

Explanation:

The given parameters are;

The apparent magnitude of the star Alpha Centauri = -0.27

The apparent magnitude of  the star Alpha Crucis = 0.77

Let relative brightness of two stars is given by the relation

[tex]\dfrac{b_1}{b_2} = 2.512^{(m_1 - m_2)}[/tex]

Where;

m₁ = The apparent magnitude of the star Alpha Centauri = -0.27

m₂ = The apparent magnitude of  the star Alpha Crucis = 0.77

b₁ = The brightness of the star Alpha Centauri

b₂ = The brightness of the star Alpha Crucis

Which gives;

[tex]\dfrac{b_1}{b_2} = 2.512^{(-0.27 - 0.77)}= 0.383689[/tex]

Therefore;

b₁/b₂ = 0.383689 and

b₁ = b₂ × 0.383689

b₂ = b₁/0.383689 = 2.606×b₁

b₂ = 2.606×b₁

b₂ > b₁, b₂ is brighter than b₁, that is the star, Alpha Crucis is brighter than the star, Alpha Centauri, when observed from Earth.

1. What are examples of muscle endurance activities/exercises? 2. Which sports require the most muscle endurance? 3. How many sit ups did you do for the Fitnessgram test last year? 4. Pick either arm strength, stomach strength, or leg strength. Explain why this group is important to keep strong.​

Answers

Answer:

hello i need points i need to pass 8th grade

Explanation:

Answer:1.examples are Plank,Body weight squats,Walking lunges,Pushups 2. Weight-Lifting require the most muscle endurance.3. u shud do it urself .4.u shud pick.

Explanation: for the question  Explain why this group is important to keep strong.​

Benefits of Muscular Strength and Endurance

Muscular strength and endurance are important for many reasons: Increase your ability to do activities like opening doors, lifting boxes or chopping wood without getting tired. Reduce the risk of injury. Help you keep a healthy body weight.

If no forces are acting on a moving object, the object will continue to move with constant: Group of answer choices impulse momentum acceleration All of these. None of these.

Answers

Answer:

constant acceleration,

Explanation:

when an object is moving without any change in direction,its acceleration is regarded as zero which also means that the object is moving at a constant acceleration.

If no forces are acting on a moving object, the object will continue to move with constant momentum.

To find the answer, we need to know about the force.

What is force?Force is the rate of change of momentum with respect to time.Its SI unit is Newton. It's a vector quantity.What does happen, if force is zero?Force is zero means the rate of change of momentum with respect to time is also zero.Therefore, if the momentum is not changing with time, then it's constant over time.

Thus, we can conclude that if no forces are acting on a moving object, the momentum is constant.

Learn more about force here:

brainly.com/question/141439

#SPJ2

Which one of the two potential differences emf or terminal voltage will be greater in magnitude?Why?​

Answers

Answer:

True, yes terminal voltage of a battery can never be greater than the emf of the battery. Because due to internal resistance of the current terminal

Whic two types of cells are required during the process of osteogenesis





This Class I’m in is called Anatomy & Phys

Answers

Answer:

Bone homeostasis involves multiple but coordinated cellular and molecular events. Two main types of cells are responsible for bone metabolism: osteoblasts (which secrete new bone), and osteoclasts (which break bone down).

Explanation:

When the north pole of a magnet is moved towards the center of a loop of wire containing a galvanometer, the needle of the galvanometer flicks to the right. What would also cause the needle on the galvanometer to move to the right?

Answers

Answer:

Moving the magnet away from the center of the loop with its south pole facing the center of the loop.

Explanation:

Electromagnetic induction is due to a rapidly changing magnetic field, or loop area. The poles of the magnet induce current in the loop but in the opposite direction, depending on the direction of their relative motion. An approaching north pole will induce an anticlockwise current in the loop, while an approaching south pole will do the reverse. To get the galvanometer to flicker in the same direction as of that when the north pole was approaching, we move the magnet away from the center of the loop with its south pole facing the center of the loop.

A diver is 15m below the surface of a liquid density 1050kg/m3.Calculate the total pressure on the diver given that atmospheric pressure in the region is 70cmHg.(take density of mercury to be 13600kg/m3 and g=10N/kg)

Answers

Answer:

Explanation:

pressure due to fluid  column = hdg where h is height of column , d is density of fluid , g is acceleration due to gravity .

Total pressure on the diver = atmospheric pressure + pressure due to water

= .70 x 13600 x 10 + 15 x 1050 x 10  

= 95200 + 157500

= 252700 Pa

= 2.527 x 10⁵ Pa .

Is the cell membrane found in Plant Cell, Animal Cell, or Both?

Answers

Answer:

Explanation:

Animal cells and plant cells share the common components of a nucleus, cytoplasm, mitochondria and a cell membrane. Plant cells have three extra components, a vacuole, chloroplast and a cell wall.

Monochromatic light falls on a screen 1.60 m from two slits separated by 2.11 mm. The first- and second-order bright fringes are separated by 0.550 mm. What is the wavelength of the light?

Answers

Answer:

725 x10^-9m

Explanation:

We know that the optical path difference is (ax)/D

Where

a=2.11mm

D=1.60m

x= position on the screen

the optical path differences varies of lambda = wavelength

That is BTW two bright fringes

So therefore

x2-x1=lambda x D/a

lambda = ( x2 - x1) x a/D = 0.55 x 10^-3 x 2.11E-3 / 1.60 = 725nm

compare distance and mass

Answers

Answer:

The amount of gravity affecting an object depends on two things: the masses of the objects being attracted and the distance between the objects. Mass is the measure of the amount of matter in an object. With distance, we see that the strength of gravity decreases if the distance between two objects increases.

Hope this helps!

What is the kinetic energy of a ball with a mass of .5 kg and a velocity of 10 m/s

Answers

Answer:

kinetic energy is 1/2mv^2.

which is 1/2×5×10^2.

1/2×5×100=

250J.

Answer:

The correct answer would be 250 J.

which of the following calculations is equal to 1?

Answers

Answer:

we need to see the answers but probably 1 or -1

I can raise a bucket of cement mix of mass 12kg through a vertical height of 8m in 10 seconds.Calculate the average power used in raising the bucket against the gravitational force?

Answers

Explanation:

Power = work / time

Power = force × distance / time

P = (12 kg × 10 m/s²) (8 m) / (10 s)

P = 96 Watts

The average power used in raising the bucket against the gravitational force is equal to 94.08 W.

What is power?

Power can be defined as the rate of doing work in unit time. The S.I. unit that is used to measure power is Watt (W) or Joule per second. Power can be described as the rate at which work is done.

Power = Work /time

Given, the mass of the bucket, m = 12 kg

The distance traveled by the bucket, d = 8 m

The work is done by the bucket, W = F.d

W = mg.d

W = 12 × 9.8 ×8

W = 940.8 J

Given, the time is taken by the bucket, t = 10 s

The power used in raising the bucket against the gravitational force:

P = W/t

P = 940.8/10

P = 94.08 W

Therefore, the average power is equal to 94.08 W.

Learn more about power, here:

brainly.com/question/14070854

#SPJ2


It takes Serina 0.55 hours to drive to school. Her route is 22 km long. What is Serina’s average speed on her drive to school?

Answers

Answer:

= 40 km/hr

Explanation:

speed = distance / time

= 22km / 0.55 hr.

= 40 km/hr

A box with a mass of 15 kg is pushed with a net force of 180 N. What magnitude of
acceleration will the box experience?

Answers

Answer:

  a = 12 m / s²

Explanation:

Let's apply Newton's second law

             F = m a

where F is the force, m the mass of the body and the acceleration

             

we clear

            a = F / m

             

let's calculate

           a = 180/15

           a = 12 m / s²

this acceleration has the same direction of the force

how far above the surface of the earth do you need for g to be reduced to a third of its value on the surface of the earth?

Answers

Answer:

the surface this works out to 9.8 m/s squared.

Please help anyone ASAP You can listen to your friend round a corner, but you cannot watch him/her .Why? Related to sound

Answers

Answer:

The sound waves have larger wavelength than light waves. These are diffracted by the corner of wall and light waves cannot do so, due to their very small wavelength (as compared with size of wall corner). So, without seeing the friends his/her voice can be heard.

The sound wave has a longer wavelength as compared to light waves and due to diffraction the sound wave reaches your friend around a corner, but the light wave can't.

What is sound?

Sound is a mechanical disturbance that travels through an elastic medium and disrupts an equilibrium condition. It is also feasible to define sound solely subjectively, as that which is perceived by the ear.

Although this definition lacks clarity and is overly pedantic because it is necessary to discuss noises that cannot be heard by the human ear, such as those made by dog whistles or sonar devices.

Compared to light waves, sound waves have a longer wavelength. Since light waves have a very short wavelength, they cannot be diffracted by a corner of a wall (as compared with the size of wall corner). He or she can therefore be heard even when the friends are not seen.

To know more about sound:

https://brainly.com/question/29707602

#SPJ2

what do you mean by average velocity​

Answers

Answer:

Here is the answer. Hope this helps you!

Explanation:

Average velocity is the sum of initial and final velocity divided by 2. I t is the same as total Displacement divided by total time. Average velocity is calculated when the body is in non-uniform motion (also when total displacement and time is not given). The formula is as follows:

u + v/2 = [tex]v_{av}[/tex]

Average velocity = Average speed

during motion in a straight line. therefore, the above mentioned formula can be used for calculating average speed as well, when the direction is one and only the same, that is, during motion in a straight line. The S.I unit remains the same-

m/s.

Since velocity is vector, average VELOCITY is also vector. However, Average SPEED is scalar as speed is scalar. both can be equal only when the distance = displacement and when they are following the same direction of motion.

What unit of mass measurement would I use to measure a small pebble

Answers

Answer:

probably ounces or grams

Explanation:

Convert 1.3 km to m

Answers

Answer: 1300m

Explain: from km to m times 1000

Define ratio to show its scientific meaning. Then use it in a

sentence as a noun.

Answers

Answer:

Ratio is used as a means of comparison of two or more subjects. It contain two or more digits which gives more information on the number of times an amount of number or times can be derived from the other/others.

An example of a ratio is 5:4 , 2:3 etc.

A ratio is also known as a noun and it can be used in sentences as follows:

The ratio of males to females in the school is five to eight. This can be translated as 5:8 in terms of mathematical expression.

A ball is thrown vertically upward from the top of a tower 40m high with velocity 10m/sec find time when it strikes ground

Answers

Given:-

Height,h = -40 m

Initial velocity,u = 10 m/s

Final velocity,v = 0

Acceleration due to gravity,g = -10 m/s² [ Ball goes up ]

To find out:-

Find time when it strikes ground.

Formula used:-

s = ut + 1/2 at²

Solution:-

We will first calculate the time taken by the ball to reach the highest point by using the formula:

S = ut + 1/2 at²

★ Substituting the values in the above formula,we get:

⇒ -40 = 10 × t + 1/2 × -10 × t²

⇒ -40 = 10t + ( - 5 ) × t²

⇒ -40 = 10t - 5 t²

⇒ 5t² - 10t - 40

⇒ 5t² - 20t + 10t - 40

⇒ 5t ( t - 4 ) + 10 ( t - 4 )

⇒ t - 4 = 0 and 5t + 10 = 0

⇒ t = 4 and t = -2

Thus,time taken is 4 seconds. [ Ignore negative number. ]

Answer:

[tex]\Huge \boxed{\mathrm{4 \ s}}[/tex]

Explanation:

Displacement ⇒ -40 m (the ball strikes the ground)

Initial velocity ⇒ 10 m/s

Acceleration of gravity ⇒ -10 m/s² (upward acceleration)

We can use a formula to find the time taken.

[tex]s = ut + 1/2 at^2[/tex]

[tex]s = \sf displacement \ (m)[/tex]

[tex]u = \sf initial \ velocity \ (m/s)[/tex]

[tex]a = \sf acceleration \ of \ gravity \ (m/s^2)[/tex]

[tex]t = \sf time \ taken \ (s)[/tex]

Plugging in the values.

[tex]-40 = (10)t + 1/2 (-10)t^2[/tex]

Solve for [tex]t[/tex].

[tex]-40 = 10t-5t^2[/tex]

[tex]5t^2-10t-40=0[/tex]

Factor the quadratic expression.

[tex]5(t+2)(t-4)=0[/tex]

Set the factors equal to 0.

[tex]t+2=0\\t=-2[/tex]

[tex]t-4=0\\t=4[/tex]

t = -2 and t = 4 (time value will not be negative in this case)

The time the ball takes to strike the ground is 4 seconds.

I forgot how to do this ;;;

Answers

Explanation:

Acceleration is change in velocity over change in time.

a = Δv / Δt

a = (10 m/s − 5 m/s) / 4 s

a = 1.25 m/s²

Work = force × distance

First, find the distance traveled.

v² = v₀² + 2aΔx

(10 m/s)² = (5 m/s)² + 2 (1.25 m/s²) Δx

Δx = 30 m

Now find the work:

W = (600 kg × 1.25 m/s²) (30 m)

W = 22,500 J

Alternative, work = change in energy.

W = ΔKE

W = ½ mv² − ½ mv₀²

W = ½ m (v² − v₀²)

W = ½ (600 kg) ((10 m/s)² − (5 m/s)²)

W = 22,500 J

An atom of an element X has one more shell of electrons than an atom of berylium but it has one less valence electron thatn berylium which element is X

Answers

Answer:

Sodium

Explanation:

Sodium in period 3 has three electron shells. Recall that the period to which an element belongs shows the number of electron shells present in each atom of the element.

Beryllium is in period two, hence it possesses only two electron shells. However, beryllium is a member of group two hence it has two valence electrons in its outermost shell.

Sodium on the other hand has only one electron in its outermost shell since it is a member of group one. Hence the element must be sodium.

An automobile travels on a straight road for 55 km at 20 km/h. It then continues in the same direction for another 60 km at 55 km/h. What is the average velocity (km/h) of the car during the full 115 km trip

Answers

Given :

Speed of automobile for first 55 km , [tex]v_1=20\ km/h[/tex] .

Speed of automobile for first 60 km , [tex]v_2=55\ km/h[/tex] .

To Find :

Average velocity of the full trip .

Solution :

We know , average velocity is given by :

[tex]v_{avg}=\dfrac{\text{Total distance covered}}{\text{Total time taken }}[/tex]

Now , time is given by :

[tex]T=\dfrac{D}{v}[/tex]

So ,

[tex]v_{avg}=\dfrac{55+60}{\dfrac{55}{20}+\dfrac{60}{55}}\\\\v_{avg}=29.94\ km/h[/tex]

Therefore , the average velocity (km/h) of the car during the full 115 km trip is 29.94 km/h .

Hence , this is the required solution .

A hair is placed at one edge between two flat glass plates 7.32 cm long. When this arrangement is illuminated with 632 nm light, 130 bands are counted, starting at the point of contact of the two plates. How thick is the hair

Answers

Answer:

The thickness of the hair is 4.0764x10^-5 m

Explanation:

2t=mL (L is wavelength)

2t = 129x632 (124 is used because m starts at 0)

2t = 81528

t = 40764

t = 4.0764x10^-5 m

If a phase shift occur, then we use;

2t = (m + 1/2)L and

2t = (129 + 1/2)632

2t = 81844

t = 40922

t = 4.0922x10^-5 m

The answers are almost the same.

The reed switch is placed between the poles of the strong permanent magnet.
State and explain what happens.

Answers

Answer:

he switch is open when the magnetic field is activated, a magnetic force is applied to the reed, which causes it to move, closing the circuit and allowing the lock to open.

Explanation:

The reed switches, this is metallic, generally iron, in general the switch is open when the magnetic field is activated, a magnetic force is applied to the reed, which causes it to move, closing the circuit and allowing the lock to open.

The force is given by

                 F = i l x B

In the systems when the switch is depressed the magnetic field is created in a solenoid and this field attracts the metal of the reed.

PLEASE HEP FAST PLEASE!!!!! IM SO SCARED!!!! An elevator has the mass of 3 tons of power needed to raise the elevator 50m in 15 s?

Answers

Answer:

Mass=3,height=50 and time=15,g=10,P=?

P=mgh/t....which is 3×10×50=1500/15=100Watts

Answer:

[tex]\huge \boxed{\mathrm{100 \ Watts}}[/tex]

Explanation:

[tex]\sf \displaystyle P=\frac{mgh }{t} \\\\\\ P=power \ (W) \\\\ m=mass \ (kg) \\\\ g=gravity \ acceleration \ (m/s^2) \\\\ h=height \ (m) \\\\ t=time \ taken \ (s)[/tex]

[tex]\sf \displaystyle P=\frac{3 \times 10 \times 50 }{15}[/tex]

[tex]\sf \displaystyle P=\frac{1500 }{15}[/tex]

[tex]\sf \displaystyle P=100[/tex]

(i) Define free fall.
0​

Answers

Answer:

uh,Free fall is the motion of a body where its weight is the only force acting on an object.

Other Questions
Each State shall appoint, in such Manner as the Legislature thereof may direct, a Number of Electors, equal to the whole Number of Senators and Representatives to which the State may be entitled in the Congress: but no Senator or Representative, or Person holding an Office of Trust or Profit under the United States, shall be appointed an Elector. --Constitution, Article 2.1 Find the surface area of the composite figure. need help asap. Thank You |12| = 12 True or False please help!!!!! 8. Give an example of how applied science has had a direct effect on your daily life. The art of persuasion is:Question 1 options:ForensicsArgumentDebateRhetoric The diameter of the inscribed circle in a regular hexagon is 43 inches long. What is the perimeter of this regular hexagon? i dont understand this at all please help The Jammers basketball team had a win to loss ratio of 5:1 during theirSeason. They won 25 games. How manygames did they lose? When you collaborate or meet with a person or group online, it is called Why do we value the separation of powers"? Which of the cities on the map is farthest from the Vikings' homeland? please tell me the answers....... What was known as the holy experiment What fraction shows this division problem? 7 9 Fractions may be typed as improper fractions What fraction shows this division problem? 7 9 Fractions may be typed as improper fractions Solve for x...Z = 8(x-h) X = ????Please state what X is... 6a+40=2a can someone help me with this work sheet? Boespflug Incorporated has a $1,000,000 investment opportunity that involves sales of $900,000, fixed expenses of $225,000, and a contribution margin ratio of 30% of sales. The margin for this investment opportunity is closest to: How did scientist approach problems during the scientific revolution? How was this different from the way problems were approached in the past? Square root of -72 in the form of a+bi Find the volume of a box with a length of 5 cm, a widthof 5 cm, and a height of 10 cm.