An automobile accelerates uniformly from a speed of 60 km/hr (16.67 m/s) to a speed of 80 km/hr (22.2 m/s) in 5 s. Determine the acceleration of the car and the distance traveled in this 5 sec interval.

Answers

Answer 1

Answer:

The acceleration is [tex]1.106\ m/s^2[/tex] and the distance covered is 97.17 m.

Explanation:

Given that,

Initial speed of an automobile, u = 60 km/hr = 16.67 m/s

Final speed of an automobile, v = 80 km/hr = 22.2 m/s

Time, t = 5 s

We need to find the acceleration of the car and the distance traveled in this 5 sec interval.  Let a is the acceleration. Using the definition of acceleration as :

[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{22.2-16.67}{5}\\\\a=1.106\ m/s^2[/tex]

Let d is the distance covered. Using the third equation of motion to find it as follows :

[tex]v^2-u^2=2as\\\\s=\dfrac{v^2-u^2}{2a}\\\\s=\dfrac{(22.2)^2-(16.67)^2}{2\times 1.106}\\\\s=97.17\ m[/tex]

So, the acceleration is [tex]1.106\ m/s^2[/tex] and the distance covered is 97.17 m.


Related Questions

What happens as lakes get older?

Answers

Answer:

After several thousand more years, mesotrophic lakes gain nutrients from the fallen, decayed leaves from deciduous trees, decayed shoreline plants, decaying aquatic plants, and the remains of fish and other water creatures.

Explanation:

plz give me brainliest

A car drives 150 km SE and then 50 km due N. What is the car's displacement?

Answers

Answer:

If the car travels 150 kilometers to the Southeast, and then 50 kilometers to the North, it is understood that the car does not travel the same way out as it does back. Therefore, the car's displacement will be the sum of both distances traveled, that is, 150 + 50, which is equal to 200. Therefore, the car traveled about 200 kilometers from its starting point.

Does electric and magnetic objects both have north and south poles

Answers

Explanation:

hope this answer was helpful

Based on the measured force between objects that are 10 meters apart, how can you find the force between objects that are any distance apart ?

Answers

Answer:

F' = 100 F/r²

Explanation:

The gravitational force of attraction between two objects is given by the Newton's Gravitational Formula. The Newton's Gravitational Formula is as follows:

F = Gm₁m₂/r²

where,

F = Force between objects

G = Universal Gravitational Constant

m₁ = mass of first object

m₂ = mass of second object

r = distance between objects = 10 m

Therefore,

F = Gm₁m₂/10²

Gm₁m₂ = 100F   --------------------- equation (1)

Now, we consider these objects at any distance r apart. So, the force becomes:

F' = Gm₁m₂/r²

using equation (1), we get:

F' = 100 F/r²

So, if the force (F) between objects 10 m apart is known, we can find it at any distance from the above formula.

The force between objects that are any distance apart is expressed as [tex]P'=\frac{100P}{r^2}[/tex]

According to the gravitational law, the force acting on an object is directly proportional to the product of their masses and inversely proportional to the square of their distance apart. Mathematically,

[tex]P=\frac{GMm}{r^2}[/tex]

M and m are the masses

r is the distance between the masses

If the force between objects that are 10 meters apart, hence;

[tex]P=\frac{GMm}{10^2}\\P=\frac{GMm}{100}\\GMm = 100P[/tex]

To find the force between objects that are any distance apart, we will use the same formula above to have;

[tex]P'=\frac{GMm}{r^2}\\[/tex]

Substitute the result above into the expression to have:

[tex]P'=\frac{100P}{r^2}[/tex]

Hence the force between objects that are any distance apart is expressed as [tex]P'=\frac{100P}{r^2}[/tex]

Learn more on gravitational law here: https://brainly.com/question/11760568

A water molecule is made up of one oxygen and two hydrogen atoms. Why is water considered a pure substance?

Answers

Answer:

A mixture is when two or more substances combine physically together.

However, in water, two hydrogen atoms combine with one oxygen atom chemically, forming a new substance that has properties different from hydrogen alone or oxygen alone.

Explanation:

Which two terms indicate the same area of the body? *

Answers

Answer:

For example, the toes are anterior to the heel, and the popliteus is posterior to the patella. Superior and inferior, which describe a position above (superior) or below (inferior) another part of the body. For example, the orbits are superior to the oris, and the pelvis is inferior to the abdomen.

Explanation:

carter found the rock shown in the picture below near a river ​

Answers

Answer:

there's no picture

Explanation:

and what would the question be anyways?

Answer:

what is the question

Explanation:

Why must the difference between the water level in the eudiometer tube and the water level in the beaker be measured

Answers

Answer:

Explanation:

The difference between the water level in the eudiometer tube and the water level in the beaker must be measured because we have to put into consideration, the pressure of the gases in the eudiometer tube. This said pressure of gas in the eudiometer must equal the atmospheric pressure. If or by chance, the water levels happens not to be at the same height, then this is not the case. And then, as a result, in order to account for the difference between both, while also being able to get accurate results, you have to find the difference or subtract the water levels and then go ahead in converting them to mmHg.

HELP PLEASE I need to finish this asap

Answers

Answer:

I'm not 100% sure, but I think the answer would be the first one because there's a force pushing the object in every direction, so they would cancel eachother out and make the object stay in the same place.

Explanation:

pls vote brainliest

Third one bro I know this already

What is the magnitude of the tangential acceleration of a bug on the rim of a 13.0-in.-diameter disk if the disk accelerates uniformly from rest to an angular speed of 79.0 rev/min in 3.80 s

Answers

Answer:

The correct solution will be "12.48 in/s²".

Explanation:

The given values are:

Angular speed

= 79.0 rev/min

Time

= 3.80 seconds

Now,

⇒  [tex]Angular \ acc.=\frac{(\frac{79\times 2\times \pi}{60})}{3.8}[/tex]

                          [tex]=\frac{8.2}{3.8}[/tex]

                          [tex]=2.1 \ rad/s^2[/tex]

Tangential acceleration will be:

= [tex]Angular acc.\times radius[/tex]

= [tex]2.1\times 6.5\times 0.0254[/tex]

= [tex]0.3467 \ m/s^2[/tex]

= [tex]12.48 \ in/s^2[/tex]

What holds the metal ions together in a lattice?
A. covalent bonds
B. metallic bonds
C. hydrogen bonds
D. ionic bonds

Answers

Metallic bonds! Hope this helps!! :))

Answer:

B. Metallic bonds.

Full moon is located______

a. farthest from the Sun

b. at a 90 degree angle with the Sun and Earth

c. closest to the Sun

Answers

Answer:

Im going to take an educated guess and say its B.

Explanation:

A Full moon is located farthest from the Sun. Thus, the correct option for this question is A.

What is a Full moon?

A full moon may be defined as one of the types of lunar phases when the Moon significantly appears fully illuminated from Earth's perspective. This event typically occurred when Earth is located between the Sun and the Moon.

When the earth is located between the sum and the moon, it is the time when the moon is located farthest from the sun. And it directs to an event of a full moon. The average time duration of the full moon and the repetition of the same phase normally requires 29.53 days.

Therefore, the Full moon is located farthest from the Sun. Thus, the correct option for this question is A.

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Which chemicals are major contributors to ozone layer destruction? Select two answer choices.

Answers

Answer:

what are the answers to select? or do you just say them

Explanation:

???

Answer:

c and d

Explanation:

If the jet is moving at a speed of 1140 km/h at the lowest point of the loop, determine the minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed 6.0 g's.

Answers

Answer:

The radius is  [tex]r =1705.44 \ m[/tex]

Explanation:

From the question we are told that

   The speed is [tex]v = 1140 \ km /h = \frac{1140 * 1000}{3600} = 316.67 \ m/s[/tex]

   The centripetal acceleration is  [tex]a = 6 g's = 6 * 9.8 = 58.8 \ m/s^2[/tex]

Generally the centripetal force acting on the jet is mathematically represented as  

        [tex]F_c = \frac{m * v^2 }{r}[/tex]

Generally this centripetal force is equal to the net force acting which according to Newton's third law is mathematically  represented as

      [tex]F = m * a[/tex]

So

      [tex]\frac{m * v^2 }{r} = ma[/tex]

=>   [tex]\frac{ v^2 }{r} = a[/tex]

=>  [tex]r = \frac{v^2}{a}[/tex]

=>  [tex]r = \frac{316.67^2}{58.8}[/tex]

=>  [tex]r =1705.44 \ m[/tex]

A 16-V battery powers a series circuit that contains two lightbulbs The
voltage across the first lightbulb is 12-V​

Answers

Complete question:

A 16-V battery powers a series circuit that contains two lightbulbs. The voltage across the first lightbulb is 12-V.

a. What fractional part of the circuit's total energy is transformed in the first lightbulb? Simply your answer.

b. What fractional part of the circuit's total energy is transformed in the second lightbulb? Simply your answer.

Answer:

(a) Fraction of energy of the first bulb in the total energy of circuit is 3/4

(b) Fraction of energy of the second bulb in the total energy of circuit is 1/4

Explanation:

Given;

total voltage across the series circuit, [tex]V_T[/tex] = 16 V

voltage across the first light bulb, V₁ = 12 V

The voltage across the second light bulb is given by;

V₂ = [tex]V_T[/tex] - V₁

V₂ = 16 V - 12 V

V₂ = 4 V

The total power across the circuit is given by;

P = I[tex]V_T[/tex]

P = 16I

Where;

I is the constant current in the circuit

(a)

power in the first light bulb is given by;

P₁ = 12I

Fraction of this power in the total energy of circuit is given by;

[tex]\frac{P_1}{P} = \frac{12I}{16I} = \frac{3}{4}[/tex]

(b)

power in the second light bulb is given by;

P₂ = 4I

Fraction of this power in the total energy of circuit is given by;

[tex]\frac{P_2}{P} = \frac{4I}{16I} = \frac{1}{4}[/tex]

things that affects the demand for electricity

Answers

New inventions like :
Solar panel
Wind mill
And etc .

A solid keeps its shape due to which of the following factors?

Space between particles
Attractive forces between particles
The type of element in the solid
The container it is placed in

Answers

Answer:

c

Explanation:

because whatever elements are used like gas uses water evaporation so yeah

Hey Emma Here! ✞

Answer:

(A) Space between particles!

Explanation:

Solids can hold their shape because their molecules are tightly packed together!

Bye Have A Nice Day! ✞

What is the density of the paint if the mass of a tin containing 5000 cm3 paint is 7 kg. If the mass of the empty tin, including the lid is 0.5 kg.​

Answers

We are given:

Mass of the Paint bucket (with paint) = 7000 grams

Mass of the paint bucket (without paint) = 500 grams

Volume of Paint in the Bucket = 5000 cm³

Mass of Paint in the Bucket:

To get the mass of the paint in the bucket, we will subtract the mass of the bucket from the mass of the paint bucket (with paint)

Mass of Paint = Mass of Paint bucket (with paint) - Mass of the paint Bucket (without paint)

Mass of Paint = 7000 - 500

Mass of Paint = 6500 grams

Density of the Paint:

We know that density = Mass / Volume

Density of Paint  = Mass of Paint / Volume occupied by Paint

Density of Paint = 6500/5000

Density of Paint = 1.3 grams / cm³

how is life determined on math

Answers

Answer:

you can use math as a banker, a doctor, a scientist, the president probably uses math, you use math to see how much less juice you gave your sibling, and you can use math to help in collage! (sorry if its wrong tell me if it is)

Answer: Isn't it because we use it daily especially with financial needs, scientific research, and the way people even use it to cook

Explanation: Therefore everything, especially in physics where you determine what density, distance, and equations following the scientific research.

if two objects masses 8kg and 24 kg are dropped from top of a building. Which one reaches the ground first

Answers

They will reach the grouns at the same time if we neglect.
Y=1/2 gt²
There is know mass needed in the equation
the object weighing 24 kg ( kilograms ) will reach the ground firstif two objects are the same size but one is heavier, the heavier one has greater density than the lighter object so when both objects are dropped from the same height and at the same time, the heavier object should hit the ground before the lighter one

Calculate the velocity of an object moved around a circle with a radius of 1.65 m and an
acceleration of 3.5 m/s2.

Answers

Answer:

2.4m

Explanation:

Given parameters:

Radius of circle  = 1.65m

Acceleration  = 3.5m/s²

Unknown:

Velocity of the object = ?

Solution:

To solve this problem, we have to apply the formula of centripetal acceleration;

   Centripetal acceleration  = [tex]\frac{v^{2} }{r}[/tex]  

v is the velocity

r is the radius

   v² = centripetal acceleration x radius

 Insert parameters and solve;

     v² = 3.5 x 1.65

     v  = √5.775  = 2.4m

The velocity of the object as it moves around a circle with the given radius and acceleration is 2.4m/s.

Given the data in the question;

Radius; [tex]r = 1.65m[/tex]Centripetal acceleration; [tex]a_c = 3.5m/s^2[/tex]

Velocity; [tex]v = \ ?[/tex]

From the centripetal force equation, we use the expression for centripetal acceleration:

[tex]a_c = \frac{v^2}{r}[/tex]

Where [tex]a_c[/tex] is the centripetal acceleration, v is the velocity and r is radius.

We substitute our given values into the equation

[tex]3.5m/s^2 = \frac{v^2}{1.65m} \\\\v^2 = 3.5m/s^2\ *\ 1.65m\\\\v^2 = 5.775m^2/s^2\\\\v = \sqrt{5.775m^2/s^2} \\\\v = 2.4m/s[/tex]

Therefore, the velocity of the object as it moves around a circle with the given radius and acceleration is 2.4m/s.

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How would the photographer use the polarizing filter to find out the direction of polarization of the light coming from the blue sky?

Answers

Answer:

by rotating the filter                    

Explanation:

Rayleigh's scattering is given by the process of the scattering of light by molecules. This is very important physical phenomenon. Polarization is also an effect of light scattering.

A photographer wishes to capture photos of some cloud formation by using the polarizing filter. So the photographer will have to rotate the polarizing filter until the intensity of the light becomes maximum such that the light polarization is acts along the axis of the filter.

Which sequence shows electromagnetic waves arranged in a decreasing order of their wavelengths?

Answers

Answer: Gamma rays, x-rays, ultraviolet rays, visible light, and infrared rays.

Answer:

C) radio → infrared → ultraviolet → gamma

Explanation:

It Increases left to right therefore it decreases right to left

A type of cuckoo clock keeps time by having a mass bouncing on a spring, usually something cute like a cherub in a chair. What force constant is needed to produce a period of 0.320 s for a 0.0190-kg mass?

Answers

Answer:

k = 7.32 N/m

Explanation:

We know that the time period of a spring mass system is given as follows:

T = 2π√(m/k)

T² = 4π²m/k

k = 4π²m/T²

where,

k = force constant = ?

m = mass = 0.019 kg

T = Time Period = 0.32 s

Therefore,

k = 4π²(0.019 kg)/(0.32 s)²

k = 7.32 N/m

A current of 15 Amps flows through a circuit with a resistance of 0.10 Ohms. What is the voltage?
A. 0.006 Volts
OB. 1.5 Volts
O C. 15 Volts
D. 150 Volts

Answers

Voltage = (current) x (resistance) (Ohm's law)

Voltage = (15 A) x (0.10 ohm)

Voltage =  1.5 volts (B)

What is the momentum of a 8850 kg medium truck that is traveling with a velocity of 55 m/s west on the highway

Answers

Answer:

486,750 kg*m/s

Explanation:

Momentum is mass*velocity

M = m*v

M = 8850kg*55m/s

M = 486,750 kg*m/s

The momentum of an 8850 kg medium truck that is traveling with a velocity of 55 m/s west on the highway is 486750 kg m / s.

What is momentum?

Momentum is the result of a particle's mass and velocity. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force acting on the particle equals the time rate of change of momentum.

According to Newton's second law, if a particle is subjected to a constant force for a specific amount of time, the result of the force and time (referred to as the impulse) is equal to the change in momentum.

Given:

The mass of the truck is, m = 8850 kg,

The velocity of the truck is, v = 55 m/s,

Calculate the momentum of the truck as shown below,

Momentum = m × v

Momentum = 8850 × 55

Momentum = 486750 kg m / s

Thus, the Momentum of the truck is 486750 kg m / s.

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If you push a heavy box at rest, you must exert some force before it begins to move. Once its moving, you don’t have to as much force. Which of Newton’s three laws explains this?

Answers

Answer:

momentum does

Explanation:

How does cold water affect the speed of dissolving?

A. Cold water slows down dissolving

B. Cold water speeds up dissolving

C. Cold water has no effect on dissolving

D. Cold water completely stops dissolving

Answers

Answer:

Cold water slows down dissolving

Cold water slows down dissolving. Hence, option (A) is correct.

What is  the relationship between the solubility and the temperature?

The basic relationship between solubility and temperature is as follows: A solid will dissolve more readily at higher temperatures.

Likewise, a solid element dissolves more slowly at lower temperatures. This is all due to the solvent becoming more and more excited by the heat, making it easier for it to split or break apart entirely.

for while in gases The solubility of gases decreases more rapidly as temperature rises. A gas is more soluble in water when the temperature is lower.

Henry's law, which states that the gas becomes more soluble as the pressure above the liquid solution increases, summarizes another characteristic of gas solutes.

Learn more about solubility  here:

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If the brakes are applied and the speed of the car is reduced to 13 m/s in 14 s, determine the constant deceleration of the car.Express your answer to three significant figures and include the appropriate units. Assume ais negative if it acts in the opposite sense to the positive velocity.

Answers

Answer:

Explanation:

v = u + at

v is final velocity , u is initial velocity , a is acceleration and t is time .

here v = 0 , u = 13 m /s , t = 14 s

putting the values

0 = 13 + 14 a

a = 13 / 14 m /s²

= - .9286

= -  0.929 m /s²

Help !! I hate science

Answers

Answer:

iron nail rusting

Explanation:

A) Iron nail rusting
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