1. What 2 things can you check prior to starting your car to evaluate if it is safe to drive?

Answers

Answer 1
1) Check under the car for obvious leaks
2) Check fluids in the car periodically
Extra) Check Tire pressure/see if there is any damage to the tires
Answer 2
Check for leaks and tire pressure

Related Questions

When a plant is entering the calvin cycle of photosythesis______.

light energy is required to proceed
light energy is not required to proceed
light energy cannot be present to proceed
light energy and stored energy is required to proceed

Answers

The Calvin cycle refers to the light-independent reactions in photosynthesis that take place in three key steps. Although the Calvin Cycle is not directly dependent on light, it is indirectly dependent on light since the necessary energy carriers (ATP and NADPH) are products of light-dependent reactions.

So basically it indirectly needs the light, even it's called light-independant reaction.

So the answer is the last one.

Plants do not need light energy during the Calvin Cycle of photosynthesis.

When a plant is entering the calvin cycle of photosynthesis, light energy is not required to proceed. The Calvin cycle, also known as the light-independent reactions, utilizes energy stored during the light-dependent reactions to convert carbon dioxide into glucose.

In an ideal pulley system, a woman lifts a 100-n crate by pulling a rope downward with a force of 25 n. for every one-meter length of rope she pulls downward, the crate rises _______.

Answers

We can use conservation of energy to solve this question. The woman increases the potential energy of the box by applying her force over a certain distance. The work that the woman does is force * distance. The work the woman does is 25 N * 1 meters = 25 Joules. 25 Joules is the increase in potential energy of the box. 100 * distance of the box = 25 distance of the box = 0.25 meters Therefore, for every one meter the woman pulls downward, the box rises a distance of 0.25 meters.

When approaching a hillcrest where you can not see the other side..?

Answers

When approaching a hillcrest where you cannot see the other side, approach the crest in the rightmost lane.
It is important to be able to see on both sides, so as to avoid possible collisions with other drivers. So, it is for the best to approach this crest using the rightmost lane, in order to drive safely.

A brass wire is to withstand a tensile force of 350N without breaking? A brass wire is to withstand a tensile force of 350N without breaking.

Answers

Final answer:

Tensile force refers to the stretching force experienced when forces pull on both ends of a material like wire. Equal and opposite forces lead to tension that is equally distributed across the material, as seen in Figure 5.24. The example of a tightrope walker underscores that most of the tension resides in the wire itself rather than supporting the walker's weight.

Explanation:

In Physics, the term tensile force is used to describe the stretching force a material experiences when forces are applied on opposing sides, such as a wire being pulled on both ends. In your case, the brass wire has to withstand a tensile force of 350N without breaking.

Considering the principles behind tensile force, the concept of equal and opposing forces holds significant value as depicted in Figure 5.24. This is due to Newton's third law which states that every action has an equal and opposite reaction, ensuring that the tension in the wire is equal throughout. If the tension at one spot in the brass wire could handle 350N, this could be applied across the entire wire.

The tightrope example illustrates a situation where the tensile force is employed. However, not all this tension is used to support the weight of the tightrope walker as the horizontal components are in opposite directions and cancel out. Hence, most of the tension resides in the wire itself.

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A man drops a rock into a well. (a) the man hears the sound of the splash 2.40 s after he releases the rock from rest. the speed of sound in air (at the ambient temperature) is 336 m/s. how far below the top of the well is the surface of the water? (b) what if? if the travel time for the sound is ignored, what percentage error is introduced when the depth of the well is calculated?

Answers

Part (a)
Let h =  depth of water surface from the top of the well, m

Because the stone is dropped, its initial velocity is zero.
Let t₁ =  time for the stone to drop, s
Then
h = (1/2)*(9.8 m/s²)*(t₁ s)²
t₁ = √(h/4.9) s = 0.4518√h s

The velocity of sound is 336 m/s.
The time for the sound wave to travel from the water surface to the top of the well is
t₂ = h/336 m/s 

Because the time before the sound is heard is 2.4 s, therefore
t₁ + t₂ = 2.4
0.45181√h + h/336 = 2.4
Multiply through by 336.
151.8082√h + h = 806.4
h - 806.4 = -151.8082√h
h² - 1612.8h + 6.5028 x 10⁵ = 2.3046 x 10⁴h
h² - 2.4659 x 10⁴h + 6.5028 x 10⁵ = 0

Solve with the quadratic formula.
h = 0.5[2.4659 x 10⁴ +/- 2.4606 x 10⁴]
   = 24632 m or 26.5 m

Test the two answers.
When h = 24632,
   t₁ = 0.4518√(24632) = 70.9 s (Not acceptable)
When h = 26.5 m,
   t₁ = 0.4518√(26.5) = 2.3258 s, t₂ = 26.5/336 = 0.0789 s,
   t₁+t₂ = 2.4 s (CORRECT)

Answer:  h = 26.5 m

Part (b)
If travel time for the sound is ignored, then
0.4518√h = 2.4
h = (2.4/0.45118)² = 28.2 m
The percent error is 100*[(28.2 - 26.5)/26.5] = 6.42%

Answer: The error is  6.4%

Final answer:

The distance below the top of the well is 806.4 meters. When taking into account the time for sound to travel up the well, the distance is 0 meters.

Explanation:

(a) To calculate the distance to the water, we can use the formula:

Distance = Speed of Sound x Time

Distance = 336 m/s x 2.40 s

Distance = 806.4 m

(b) To calculate the distance taking into account the time for sound to travel up the well, we subtract the time for sound to travel up:

Distance = (Speed of Sound x Time) - Speed of Sound x Time for Sound to Travel Up

Distance = 336 m/s x 2.40 s - 336 m/s x 2.40 s

Distance = 0 m

Teresa wanted to test the effects of liquid density on the speed of sound waves. what is the dependent variable in her experiment?

Answers

Given that Teresa wanted to test how the speed of sound waves change that is the dependent variable.

The independent variable is the liquid density, which means that Teresa will vary the liquid density and then will measure the resultant liquid density.

The dependent variable is that that changes is response to a change on other variable (the independent one), that is why the dependent variable in this experiment is the speed of sound waves.

Which of the following statements most accurately differentiates potential and kinetic energy?
   

Answers

Kinetic is flowing energy while potential is stored energy
It's really hard to decide without seeing the statements.

If you combine 240.0 mL of water at 25.00 °C and 120.0 mL of water at 95.00 °C, what is the final temperature of the mixture? Use 1.00 g/mL as the density of water.

Answers

The answer is attached.

The final temperature of the mixture is 48.33° C.

What is temperature?

The term "temperature" describes how hot or cold a body is. It is, specifically, a method of calculating the kinetic energy of the particles that make up an item. When particles move more quickly, the temperature rises, and vice versa.

Given parameters:

Volume of the water at 25.00° C, V₁ = 240.0 mL.

Volume of the water at 95.00° C, V₂ = 120.0 mL.

The density of water, ρ = 1.00 g/mL

Then, final temperature, t = ?

Mass of the water at 25.00° C, m₁ = V₁ρ = 240.0× 1 g = 240.0 g.

Mass of the water at 95.00° C, m₁ = V₁ρ = 120.0× 1 g = 120.0 g.

We know that, specific heat of water, s =1 CGS unit.

Then, the amount of heat energy absorbed by the water at 25.00° C to reach final temperature (t), is H₁ = m₁s(t-25) Joule =240(t-25) Joule.

And the amount of heat energy dissipated by the water at 95.00° C to reach final temperature (t), is H₂ = m₂s(95 - t) Joule = 120 (95 - t) Joule.

From the conservation of heat energy,

H₁ = H₂

⇒ 240(t-25) = 120 (95 - t)

⇒ 2(t -25) =(95 -t)

⇒ 3t = 95 + 2×25 = 145

⇒ t = 48.33

Hence, the final temperature of the mixture = 48.33° C.

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The longest wavelength of light in the visible spectrum has the color ____________, while the shortest wavelength of light in the visible spectrum has the color _____________

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red has the longest wavelength (610-700nm), violet has the shortest (400-450nm)

The longest wavelength of light in the visible spectrum has the color Red, while the shortest wavelength of light in the visible spectrum has the color Violet.

What is Electromagnetic Spectrum ?

Electromagnetic spectrum is nothing but the range of wavelengths or frequencies on which electromagnetic radiation extend. it is whole distribution of electromagnetic waves according to frequency or wavelength. Electromagnetic wave is nothing but a photon which carries energy. Photon has frequency, wavelength as well as amplitude. Electromagnetic spectrum is show in figure.

Range from 4000 angstrom to 7000 angstrom from violet to red respectively shows the visible light. Infrared light is nothing but the heat we feel from the sun. and ultraviolet light is blacked by ozone layer. we can calculate exact value of temperature of the sun rom Stephan's forth power law.

Hence longest wavelength is red and shortest wavelength is violet in the visible spectrum of electromagnetic wave.  

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Consider a sample of gas in a container on a comfortable spring day in chicago, il. the celsius temperature suddenly doubles, and you transfer the gas to a container with twice the volume of the first container. if the original pressure was 12 atm, what is a good estimate for the new pressure?

Answers

To solve this problem, we must first assume that the gas acts like an ideal gas so that we can use the ideal gas equation:

 P V = n R T

where P is the pressure, V is the volume, n is the number of moles, R is the universal gas constant and T is the absolute temperature

 

Assuming that the number of moles is constant, then we can write all the variables in the left side:

P V / T = k            where k is a constant (n times R)

 

Equating two conditions or two states:

P1 V1 / T1 = P2 V2 / T2

We are given that V2 = 2 V1 therefore

P1 V1 T2 = P2 (2V1) T1

P1 T2 = 2 P2 T1

 

Additionally we are given that the temperature in Celsius is doubled, however in the formula we use the absolute temperature in Kelvin, therefore:

T1 (K) = T1 + 273.15

T2 (K) = 2T1 + 273.15

and P1 = 12 atm

 

Substituting:

12 (2T1 + 273.15)  = 2 P2 (T1 + 273.15)

P2 = 6 (2T1 + 273.15) / (T1 + 273.15)

 

Assuming that a nice spring day in Chicago has a temperature of 15 Celsius, therefore:

P2 = 6 (2*15 + 273.15) / (15 + 273.15)

P2 = 6.312 atm

Final answer:

When the Celsius temperature of a gas in a container doubles, and the gas is transferred to a new container with twice the original volume, the new pressure of the system can be computed using the combined gas law.

Explanation:

This Physics question involves understanding how gas laws work. Given the scenario where the Celsius temperature doubles and the gas is transferred to a container functioning at twice the original volume, several gas laws come into play such as Boyle's law and Charles's law, which relate pressure, volume, and temperature.

Let's look at Charles's law first. It states that volume is proportional to the absolute temperature, assuming constant pressure. From this law, we know that the gas's volume will increase when the temperature doubles. Meanwhile, according to Boyle's law, at constant temperature, the pressure and volume of a gas are inversely proportional. In other words, if you double the volume of the container, the pressure will be halved.

The new pressure will be derived by applying the combined gas law which factors the changes in both temperature and volume. Using Combined Gas law which is (P1V1)/T1 = (P2V2)/T2 where the pressures are in atmospheres, volumes in liters, and temperature in Kelvin, you can solve the new pressure in the system.

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Does the ke of a car change more when it accelerates from 11 km/h to 21 km/h or when it accelerates from 21 km/h to 31 km/h?

Answers

Answer: from 21 km/h to 31 km/h

Explanation: The more speed it has the more kinetic energy it is required for it to go faster.

The death of a star occurs when its _____ stops

Answers

energy producer ...is the answer

Before passing another vehicle, the first major step is to ________.

Answers

Answer:Explained

Explanation:

Before Passing the another vehicle

make sure it is safe to do it.For instance a single lane road make sure the lane is clear for sufficient distance.Make sure to honk before passing another vehicleMake sure no other vehicle is overtaking you by checking in Rear view mirror.

Before passing another vehicle, the first major step is to ensure proper signaling and check blind spots. Signaling is crucial as it communicates your intention to the drivers behind and ahead of you.

Activating the turn signal in the direction you plan to pass alerts others of your intentions. Checking blind spots is equally important to ensure there are no vehicles present in the adjacent lanes that may be hidden from your mirrors.

This step involves a quick glance over your shoulder to verify that the lane is clear and safe for passing. Only after completing these steps should you proceed with passing the vehicle.

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What is the primary visible color of an emission nebula?

Answers

In emission nebulae, there are interstellar clouds of hydrogen, which glow red because of the intense radiation of hot stars inside the nebula

What should you do immediately if a boat motor catches fire?

Answers

 If a boat motor catches fire, you should immediately shut off the fuel supply, and try to put out the fire with an extinguisher. It is very important to have fully charged fire extinguishers on hand. As soon as you notice the fire activate the extinguisher and do not panic. In order to prevent fire remember to clean the bilges often and maintain proper gear stowage, make sure short-tie cables are properly connected...
Final answer:

In the event of a boat motor catching fire, prioritize personal safety by ensuring lifejackets are worn, cut off the fuel source if possible, and use a fire extinguisher at the fire's base. If necessary, evacuate the boat.

Explanation:

The immediate actions if a boat motor catches fire should be focused on ensuring personal safety and then attempting to extinguish the fire. Firstly, ensure everyone on board is wearing a lifejacket for safety. Secondly, turn off the fuel source if possible to prevent the fire from spreading. Following this, use a fire extinguisher if one is available, aiming it at the base of the fire. Be cautious and prioritize evacuating the boat if the fire becomes uncontrollable.

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The national high magnetic field laboratory holds the world record for creating the strongest magnetic field. for brief periods of time, their largest multi-shot pulsed magnet can produce magnetic fields in excess of 85 t. to see if such a strong magnetic field could pose health risks for nearby workers, calculate the maximum acceleration the field could produce for na ions (of mass 3.8 × 10-26 kg) in blood traveling through the aorta. the speed of blood is highly variable, but 45 cm/s is reasonable in the aorta

Answers

Newton’s 2nd law states that Force is equal to the product of mass (m) and acceleration (a):

F = m a                                  ---> 1

While in magnetic forces, force can also be expressed as:

F = q v B                               ---> 2

where,

q = total charge

v = velocity = 45 cm / s = 0.45 m / s

B = the magnetic field = 85 T

First we solve for the total charge, q:

q = 3.8 × 10^-23 g (1 mol / 23 g) (6.022 × 10^23 electrons / mol) (1.602 × 10^-19 C / electron)

q = 1.594 × 10^-19 C

 

We equate equations 1 and 2 then solve for acceleration a:

m a = q v B

a = q v B / m

a = [1.594 × 10^-19 C * 0.45 m / s * 85 T] / 3.8 × 10-26 kg

a = 160,437,862.2 m/s^2

 

Therefore the maximum acceleration of Na ions is about 160 × 10^6 m/s^2.

Answer:

[tex]a = 1.61 \times 10^8 m/s^2[/tex]

Explanation:

Force due to magnetic field on the position of Na+ ions is given as

[tex]F = qvB[/tex]

here we know that

[tex]q = 1.6 \times 10^{-19} C[/tex]

[tex]v = 45 cm/s[/tex]

[tex]B = 85 T[/tex]

now the force will be given as

[tex]F = (1.6 \times 10^{-19})(0.45)(85)[/tex]

[tex]F = 6.12 \times 10^{-18} N[/tex]

now we know that acceleration is given as

[tex]a = \frac{F}{m}[/tex]

[tex]a = \frac{6.12 \times 10^{-18}}{3.8 \times 10^{-26}}[/tex]

[tex]a = 1.61 \times 10^8 m/s^2[/tex]

Low sun angles result in reduced solar energy because:

Answers

Solar energy is a form of renewable energy that is harnessed using the technology of the photovoltaic cells. These cells are composed of semiconductors. When the light from the sun hits the semiconductor, the energy from the light particles, or photons, cause the electrons in the semiconductor to be 'excited'. When the electron moves across the semiconductor platforms, the electron flows, thus creating electricity.

Therefore, as much as possible, you want to capture all of the sun's light. This can be achieved when the Sun is high up the sky. But if there is low sun angle, then the concentration of the sun's energy that strike the PV cells would be lesser. 
Final answer:

Low sun angles spread sunlight over a larger area and through more of Earth's atmosphere, reducing its intensity. The Rosetta spacecraft observed this effect, receiving only 4% of the sunlight intensity experienced on Earth. Other phenomena, like solar activity and volcanic activity, can also impact solar energy on Earth's surface.

Explanation:

Low sun angles result in reduced solar energy due to a fundamental physics principle: the intensity of sunlight is spread over a larger area when it strikes the Earth at a more oblique angle. This occurs, for example, during winter when the Sun is low in the sky. As depicted in Figure 4.6, the Sun's rays spread out over a much wider area, becoming less effective at heating the ground. Moreover, when the sun is low in the sky, the sunlight must travel through more of the Earth's atmosphere, which can scatter the light, reducing the intensity of the sunlight that reaches the ground.

Another point to consider is the observed phenomenon reported by the Rosetta spacecraft at 800 million kilometres from the sun. Rosetta’s solar cells had to be specifically designed to function in these cold, low-light conditions as it receives only 4 percent of the light strength received on Earth.

However, while this explains the reduction in the intensity of solar energy at low angles, it's important to note that other phenomena, such as solar activity and volcanic aerosols, can also affect the global temperatures and solar energy received on Earth's surface.

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Which is an homogeneous mixture?
A) a jar of mixed nuts
B) a bowl of salsa
C) a slice of cheese
D) a bowl of fruit salad

Answers

So which of those items listed above you cannot separate into different parts?
Slice of cheese, I think, because you can not break it up into its original contents. You can do it with the other ones though.

A compound microscope uses A. a convex mirror and a lens to enlarge an image. B. a mirror that flips up to let light through the lens. C. two convex lenses to magnify a small object. D. a mirror to reflect an image of a small object.

Answers

Answer:

Option (c)

Explanation:

A compound microscope is an optical instruments which can use to see the highly magnified image of very tiny objects.

It consists of two convex lenses.

1. Objective lens: It is a convex lens of short focal length and of short aperture.

It is located at the object side.

2. Eyepiece: It is a convex lens of comparatively large focal length and of large aperture.

It is located at the side from where we can see the image of the object.

How does conservation of energy apply to roller coasters?

Answers

well in rollercoasts u have low points and high points. at the high points you have potential energy and at the low points you have kinetic energy, but the energy remains equal throughout.

A man who is walking has a momentum of 80 kilogram meters per second west. The man has a mass of 80 kilograms. Which is the velocity of the man?

Answers

So, momentum is the product of mass times velocity. Some times, one just says mass times speed, but not in this problem. They ask for velocity, a vector.

vector momentum = mass * vector velocity,

So the velocity is 80/80 = 1 m/s west.

which is a way that biotechnology has not helped society

A: Bacteria is used to grow vaccines in large quantities

B: Drugs can be devolped without the use of animal research

C: New, stronger bacteria have evolved that are resistant to antibiotics

D: Diabetics have a steady supply of inexpensive insulin

Answers

I would select answer C

Whether or not you actually exercise each week is greatly influence by _____.

Answers

Whether or not you actually exercise each week is greatly influence by your motivation. You can lose face fat just by living a healthy lifestyle. A healthy lifestyle involves exercising AND eating the right amount of foods. If you are busy enough to exercise, at least walk for 30 minutes a day. When eating a balanced diet, follow the food pyramid. Eat more at the bottom level and eat less at the top level. Avoid foods that zero nutrients such as ice cream, chocolates, and cakes. Stay away from salty foods too because it retains water into your body making you feeling bloated all the time. This is an indicator that your body could not digest the food properly in your system.

Answer:

Whether or not you actually exercise each week is greatly influence by your mindset.

Explanation:

Mindset refers to the way you organize your thoughts and decide to face everyday situations. The way you reflect on a particular situation, and especially how you choose to act upon that personal analysis, can determine your success or failure. So if you can work out each week without fail, it is a big influence by your mindset.

A box of mass m slides down an inclined plane that makes an angle of φ with the horizontal. if the coefficient of kinetic friction is μk, find an expression for the acceleration of the box down the slope. the acceleration due to gravity is g.

Answers

In a force diagram set-up, we name the angle of inclination theta, g as the acceleration due to gravity. In this case, the forces acting on the box going down is the weight itself impeded by the friction between the box and the inclined plane.

The weight of the box is expressed as mg sin theta
The frictional force is expressed as the normal force times the coefficient of friction that is expressed as mu g cos theta.

By Newton's second law of motion,  F = ma = mg sin theta - mu g cos theta
Thus, a = g (sin theta - u cos theta

Use the word in a sentence. ( Related to eclipse)
- GIBBOUS

Answers

1. This silence is playing tricks with my head, said Melissa one gibbous night.
2. The moon will rise at 11:35 PM and be waning gibbous, showing about seventy percent of its disk.
3. The planet Jupiter blazes near the gibbous moon tonight.
4. The waning gibbous moon rises over your southeastern horizon at mid to late evening tonight.5. That's where you'll find the waxing gibbous moon with a bright star some distance below it.
6. The rise and sets of crescent and gibbous phase can be estimated in the same way.
7. Our chart today shows you the east-northeast sky for about three hours after sunset. The big and bright waning gibbous moon is in front of Gemini the Twins.
8. Steep and gibbous behind, becoming at length smooth and equal.
9. The night was clear, and a gibbous moon was high in the sky.

A kayaker needs to paddle north across a 100-m-wide harbor. the tide is going out, creating a tidal current that flows to the east at 2.0 m/s.the kayaker can paddle with a speed of 3.0 m/s.

a. in which direction should he paddle in order to travel straight across the harbor?

b. how long will it take him to cross?

Answers

Refer to the diagram shown below.

Part a.
In order for the kayaker to travel straight north across the river, the kayak should travel at angle θ west of north.
By definition,
sinθ = 2/3   =>  θ = sin⁻¹(2/3) = 41.8°.

Answer: The kayaker should paddle at an angle of about 42° west of north.

Part b.
The resultant traveling velocity is
  v = 3 cosθ
     = 3cos(41.8°)
     = 2.236 m/s

The time required to cross the river is
t = (100 m)/(2.236 m/s)
  = 44.7 s

Answer: It will take the kayaker about 45 s to cross.

The kayaker needs to paddle at an angle of 41.81º opposite to the current so that he can travel straight across the harbor, and it will take him 44.73 seconds to cross.

Further explanation

This is a 2-dimensional problem, since the kayaker can move in 2 dimensions over the river. For our study, we will model how does the kayaker move in the direction transversal to the river (meaning across the river), and longitudinal to the river (meaning along the river).

On the first part of this problem, we're asked to compute the direction at which the kayaker needs to paddle so that he moves only transversal to the river flow. Since the river flow has a velocity of 2 meters per second on the longitudinal direction, then the kayaker must have a velocity opposite to the river flow on the longitudinal direction of 2 meters per second.

Since he can paddle with a speed of 3 meters per second, we can make a right triangle (check the attached figure), and through trigonometry find the angle at which he needs to paddle against the river to only move in the transversal direction. Therefor we can write:

[tex]sin(\theta) = \frac{2}{3}[/tex]

Therefor [tex]\theta[/tex] is 41.81 degrees. This means that the kayaker moves across the river with a velocity 2.24 meters per second. With this velocity and the width of the river, we can easily find that the time it will take to cross is 44.73 seconds.

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A train moving at a constant speed of 55.0 km/h moves east for 35.0 min, then in a direction 55.0° east of due north for 10.0 min, and then west for 45.0 min. what is the average velocity of the train during this run? (let the +x-axis point towards the east and the +y-axis point towards the north.)

Answers

When you illustrate the problem description, the direction of distance travelled is shown in the picture. But actually, since you are asked of the average velocity, you really don't need the drawing. It is given that the constant speed is 55 km/h. Since distance is speed multiplied with time, then you only have to multiply the constant speed and the respective time so you can find the distance. The average velocity, on the other hand, is the total distance per total time travelled. So since there is a constant speed, all the terms for time will be cancelled. Therefore, the average velocity is the constant speed. But we have to add the direction, which is south so it will denote a negative sign. The final answer for average velocity is -55 km/h.

According to newton's second law of motion acceleration of an object depends upon the?

Answers

It depends on the force that is applied to the object.

How would you expect energy to change her in a chemical reaction?
Energy will be increased
Energy Will be decreased
Energy will be converted into another form
Energy will be consumed

Answers

The correct answer is option (c) i.e. Energy will be converted into another form.

During a chemical reaction, energy remains unchanged, It just gets converted into another form and doesn’t increases or decreases. Excess energy is released in the form of heat, light during a chemical reaction and thus, proving the law of conservation of energy which says, energy can neither be created nor destroyed. It just gets converted from one form to another form. 

Calculate the period (T) of uniform circular motion if the velocity is 40.0 m/s and centripetal acceleration is 20.0 m/s2.

Answers

T is the time for a whole round.

centripetal acceleration = V^2/R,

20 = 40^2 / R, find R = 40^2/20 = 40*40/20 = 80 m, right?

Now, one round is L = 2*pi*R = 2*pi*80 = 160*pi

And T = L/v (distance/speed) = 160*pi/40 = 4*pi seconds, or ~ 12.57 s

The period (T) of uniform circular motion if the velocity is [tex]40.0 m/s[/tex] and centripetal acceleration is [tex]20.0 m/s^2[/tex] is approximately 8.9 seconds.

Finding the Period (T) in Uniform Circular Motion

To calculate the period (T) of an object in uniform circular motion, we need to relate the given velocity and centripetal acceleration to the formula involving period and radius.

First, let's use the centripetal acceleration formula:

[tex]|a| = |v|^2 / r[/tex]

We know:

Velocity (v) = 40.0 m/sCentripetal acceleration [tex](a) = 20.0 m/s^2[/tex]

By rearranging the formula to solve for the radius (r):

[tex]r = v^2 / a[/tex]

Now, substitute the given values:

[tex]r = (40.0 m/s)^2 / 20.0 m/s^2 = 1600 / 20 = 80 m[/tex]

Next, we use the relationship between the period and radius:

[tex]a = 4\pi^2r / T^2[/tex]

Rearranging to solve for T:

[tex]T^2 = 4\pi^2r / a[/tex]

Substitute the known values:

[tex]T^2 = 4\pi^2 * 80 / 20\\T^2 = (4 \times 9.87 \times 80) / 20 = 1583 / 20 = 79.16[/tex]

Therefore:

[tex]T = \sqrt{79.16} = 8.9 s[/tex]

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