If you're going 80 mph how long does it take to 80 miles

Answers

Answer 1
It would take you an hour, but only if you keep your speed.

Related Questions

A pendulum has 297 J of potential energy at the highest point of its swing. How much kinetic energy will it have at the bottom of its swing?

Answers

If no energy is lost to friction or air resistance, then kinetic energy at the bottom and potential energy at the top are equal.

Explain the deeply rooted historical factors that moved america toward independence from britain.

Answers

One of the major reasons America moved toward independence was the issue of taxation. People in the colonies believed that the Crown (England) was taking too much from them while they were left to do the hard work of carving out a new land. They did not feel this was right and wanted to keep more and more for themselves, so they moved toward separation from England and independence.

Through which does light travel best?

Answers

Light travels best through empty space because there is nothing to block/disrupt its path. 
There are no choices included with your question, so the space where the list should appear is a vacuum. Vacuum is the environment through which light travels best.

But hey ... When discussing light, what does "best" mean anyway ?

Fastest ? Least absorption ?
Least dispersion ? Least refraction ?
Most direct without bending ?
Least scattering ?

It's OK. Vacuum is the answer for any of those.

In order for psychologists to be able to offer patient care, they must be __________.

A.
good
B.
caring
C.
licensed
D.
smart

Answers

Im pretty sure its C
I'd say the answer is C. Hope this helps.

An 80 kg hockey player is skating at 5 m/s. He collides with the wall and comes to a stop in .2 s. What was the force of his impact on the wall

Answers

F = mass * acceleration
The 80kg hockey player was travelling at 5 m/s when he hit the wall.He stopped in .2 s, which means that he decelerated by 5m/s in .2 seconds.

This means this deceleration was 5 m / 0.2 s² = 25 m/s²

To calculate Force, multiply mass times acceleration
80kg times 25m/s² = 2,000 N

In this question, a hockey player with mass 80kg is skating with velocity 5m/s and then collide with a wall for 0.2 seconds. Force formula is mass multiplied by acceleration.
In this case, the velocity is changed into 5m/s into 0m/s in 0.2 second. Then the acceleration is: (5m/s - 0m/s) / 0.2 second= 25m/s^2

Then, the force on his impact should be: 

force= mass*acceleration
force= 80kg * 25 m/s^2= 2000N

Ball is thrown upward from the ground with an initial speed of 25 m/s; at the same instant, another ball is dropped from a building 15 m high. after how long will the balls be at the same height?

Answers

0.6 seconds after the balls start moving, they'll be at the same height. The altitude the 1st ball will be at time T is a = 25T - 0.5AT^2 The altitude the 2nd ball will be at time T is a = 15 - 0.5AT^2 Set both expressions equal to each other and solve for T 25T - 0.5AT^2 = 15 - 0.5AT^2 Add 0.5AT^2 to both sides 25T = 15 Divide both sides by 25 T = 15/25 = 3/5 = 0.6 So both balls will be at the same altitude 0.6 seconds after they start moving. Let's verify those results. Assume A = 9.8 m/s^2 0.5 * 9.8 m/s^2 * 0.6s^2 = 4.9 m/s^2 * .36 s^2 = 1.764 m The altitude the 1st ball will be at after 0.6 seconds is 0.6 s * 25 m/s - 1.764m = 15 m - 1.764 m The altitude the 2nd ball will be at after 0.6 seconds is 15 m - 1.764 m Both are the same value so the answer is verified.
Final answer:

The problem involves the principles of projectile motion. The ball thrown upward reaches its peak in 2.5 seconds. The ball dropped from the building cover 15 meters in about 1.75 seconds. Therefore, after the peak, the first ball will take an additional 0.75 second to descend to the point where both balls are at the same height, about 3.25 seconds from the start.

Explanation:

This physics problem involves applying the principles of projectile motion. We start by calculating the time it takes for the ball thrown upward to reach its peak. Since acceleration acting against the motion of the first ball is gravity (9.8 m/s²), using the formula final velocity = initial velocity - (acceleration* time), and since the final upward velocity at the top is 0, we calculate the time it takes the throw up ball to peak as 2.5 seconds (0 = 25m/s - 9.8m/s² * t).

Next, we calculate the time it takes for a ball to fall 15m from rest (assume the drop from the building begins from rest). We use the formula h = 0.5*g*t² which we rearrange to solve for time, yielding t=√(2h/g). Using this formula with h = 15m, we get t ≈ 1.75 seconds.

Therefore, the ball thrown upwards must start to descend after reaching peak so that both balls meet at the same height. Subtracting the two times, we get 2.5 seconds - 1.75 seconds = 0.75 second. Ball 1 will take 0.75 seconds to descend so that both balls reach the same height at the same instance. So, after approximately 3.25 seconds from the start of projectile motion, the two balls will be at the same height.

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When you sneeze, the air in your lungs accelerates from rest to 155 km/h in approximately 0.70 s . what is the acceleration of the air in m/s2?

Answers

62 m/s^2 First, convert 155 km/h to m/s 155 km/h * 1000 m/km / 60 min/h / 60 s/h = 43.05556 m/s Now take the speed in m/s and divide by the number of seconds it took to accelerate it to that speed. 43.05556 m/s / 0.70 s = 61.5 m/s^2 Since we only have 2 significant figures, round the result to 2 figures. 61.5 m/s^2 = 62 m/s^2

Final answer:

Acceleration is the rate of change of velocity over time. The acceleration of the air in m/s² when sneezing at 155 km/h in 0.70 s is approximately 61.51 m/s².

Explanation:

Acceleration is the rate of change of velocity over time. In this case, the air in your lungs accelerates from rest to 155 km/h in approximately 0.70 s. To calculate the acceleration in m/s², we convert the final velocity to m/s and use the formula for acceleration.

Given: Initial velocity = 0 m/s, Final velocity = 155 km/h = 43.06 m/s, Time = 0.70 s. Acceleration = (Final velocity - Initial velocity) / Time.

Substitute the values: Acceleration = (43.06 m/s - 0 m/s) / 0.70 s = 61.51 m/s².

When ethane (c2h6) reacts with chlorine (cl2) the main product is c2h5cl; but other products containing cl (chlorine), such as c2h4cl2, are also obtained in small quantities. the formation of these other products reduces the yield of c2h5cl. in a certain experiment 145 g of c2h6 reacts with 215 g of cl2. (a) assuming that c2h6 and cl2 react only to form c2h5cl and hcl, calculate the theoretical yield of c2h5cl?

Answers

Final answer:

To calculate the theoretical yield of C2H5Cl in the reaction between ethane and chlorine, you need to determine the limiting reactant and use stoichiometry to calculate the yield.

Explanation:

The reaction between ethane (C2H6) and chlorine (Cl2) produces mainly ethyl chloride (C2H5Cl), but other products such as dichloroethane (C2H4Cl2) may also be formed in smaller quantities. These additional products reduce the overall yield of ethyl chloride. To calculate the theoretical yield of C2H5Cl, we first need to determine the limiting reactant. This is done by comparing the stoichiometric ratios of the reactants: C2H6 and Cl2.

The balanced chemical equation for the reaction is:
C2H6 + Cl2 → C2H5Cl + HCl

To calculate the theoretical yield of C2H5Cl, you can use the following steps:

Convert the given masses of C2H6 and Cl2 to moles using their respective molar masses.Determine the mole ratio between C2H6 and C2H5Cl from the balanced equation.Use the mole ratio to calculate the moles of C2H5Cl that can be formed.Convert the moles of C2H5Cl to grams using its molar mass.

The resulting value will be the theoretical yield of C2H5Cl.

If a ball is thrown vertically upward from the roof of 64 foot building with a velocity of 96 ft/sec, then what is the maximum height the ball reaches? what is the velocity of the ball when it hits the ground?\

Answers

The height function would be s(t) = -16t^2 + 64t + 32.

Maximum height ---> set s'(t) = 0.

-32t + 64 = 0. ---> t = 2. s(2) = -16(2)^2 + 64(2) + 32 = the maximum height is 96 feet.

To find the velocity when it hits the ground, set s(t) = 0.

-16t^2 + 64t + 32 = 0. Divide by -16.

t^2 - 4t - 2 = 0. The only positive solution is x = 4.45.

s'(4.45) = -32(4.45) + 64 = It's going -78.4 feet/second when it hits the ground.

What does buoyancy depend on?

A. the density of the object and the density of the fluid

B. atmospheric pressure and the density of the object

C. The density of the object and the force of gravity

D. the density of the surrounding air and the density of water

Answers

Answer:

D.  the density of the surrounding air and the density of water.

The buoyancy depends on D. the density of the surrounding air and the density of water.

Is buoyancy depending on density?

be aware of how the buoyant pressure most effective depends on the density of the fluid ρ in which the object is submerged, the acceleration due to gravity g, and the quantity of the displaced fluid V f V_f Vf​V, start subscript, f, quit subscript. fairly the buoyant force doesn't rely upon the general depth of the item submerged.

what is buoyancy provide an explanation for?

the tendency of a frame to glide or to upward push whilst submerged in a fluid trying out an item's buoyancy.  chemistry: the electricity of a fluid to exert upward pressure on a frame positioned in it the buoyancy of water also : the upward force exerted.

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What affects the direction of the current moving through a wire? Check all that apply.
-the direction the wire moves in
-the thickness of the wire
-the direction of the magnetic field
-the type of magnet
-the direction of the needle on an ammeter

Answers

The direction of the current in a wire is influenced by the direction of the magnetic field and the movement of the wire in relation to this field. The thickness of the wire affects current amount but not direction. The type of magnet and the ammeter's needle do not determine the current's direction.

The direction of the current moving through a wire is affected by various factors, but let's discuss the pertinent ones here:

The direction of the magnetic field: This has a direct effect on the direction of the current, as per the right-hand rule, which relates the direction of the current to the direction of the magnetic force.The movement of the wire in relation to the magnetic field: If the wire is moved within a magnetic field, this motion induces a current whose direction is determined by the orientation of the movement relative to the magnetic field lines.The thickness of the wire doesn't directly affect the direction of the current, but it can influence the resistance and thereby the amount of current that flows through the wire.

Factors such as the type of magnet and the direction of the needle on an ammeter do not affect the direction of the current. An ammeter is a tool used to measure current, not influence it. As for the type of magnet, it's the strength and orientation of the magnetic field it produces that matter, not its inherent type. The relationship between current and magnetic fields is a fundamental concept in electromagnetism, and understanding this relationship is crucial as it forms the basis of electrical motors and generators.

You throw a ball upward from a window at a speed of 1.5 m/s. how fast will it be moving when it hits the sidewalk 2.6 m below?

Answers

List out all your variables; 

Initial Velocity (u)= 1.5 ms⁻¹
Final Velocity (v)=? 
Acceleration=9.8 ms⁻¹ (remains constant on free fall problems) 
Displacement (s)=-2.6 m 

v²=u²+2as 
v²=(1.5)²+2(-9.8)(-2.6) 
v²=53.21
v=√53.21
v= 7.2945 ≈ 7.3 ms⁻¹

Hope I helped :) 

You throw a ball upward from a window at a speed of 1.5 m/s. Ball will be moving with velocity when it hits the sidewalk 2.6 m below is  7.3 ms⁻¹.

What is velocity?

When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time. Uniform motion an object is said to have uniform motion when object cover equal distance in equal interval of time within exact fixed direction. For a body in uniform motion, the magnitude of its velocity remains constant over time.

Given in the question,

Initial Velocity (u)= 1.5 ms⁻¹

Final Velocity (v)=?

Acceleration=9.8 ms⁻¹ (remains constant on free fall problems)

Displacement (s)=-2.6 m

v² = u²+2as

v² = (1.5)²+2(-9.8)(-2.6)

v² = 53.21

v  = √53.21

v  = 7.2945 ≈ 7.3 ms⁻¹

Ball will be moving with velocity when it hits the sidewalk 2.6 m below is  7.3 ms⁻¹.

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If the acceleration of an object is negative, the object must be slowing down. true or false

Answers

True, because when you are slowing down you LOSE speed.

If the acceleration of an object is negative, the object must be slowing down, which is true, as acceleration is the rate at which an object changes its velocity, if the acceleration is negative, it means that the velocity is decreasing over time.

What is acceleration?

Acceleration is a vector quantity that describes the rate at which an object's velocity changes and is the derivative of velocity with respect to time, so if the acceleration is negative, it means that the velocity is decreasing with respect to time. and can happen if the object is moving in the opposite direction from its initial velocity. This can be described by taking an example: if a car is moving forward with a velocity of 30 meters per second and its acceleration is -5 meters per second squared, it means that its velocity is decreasing at a rate of 5 meters per second.

Hence, if the acceleration of an object is negative, the object must be slowing down, which is true.

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What is your average speed if you walk 2 kilometers in 20 minutes?

Answers

multiply 2 and .33 to get .66...km per hour.
if you the answer in km/h it is 2km/.33h
which is equal to 6.06km/h or 6km/h
In meters per second it is 2000m/1200s
which is equal to 1.67m/s

If the labor force of 155 million people is growing by 1.0 percent per year, how many new jobs have to be created each month to keep unemployment from increasing?

Answers

First let us compute for the total growth in population.

Growth = 155 million * 0.01

Growth = 1.55 million

 

Since there are 12 months in a year, therefore the new jobs every month should be:

new jobs per month = 1.55 million / 12

new jobs per month = 0.129 million = 129,167 

To keep unemployment from increasing in a labor force of 155 million growing at 1.0 percent per year, around 129,167 new jobs need to be created each month.

If the labor force of 155 million people is growing by 1.0 percent per year, the total increase in the labor force per year would be 1.55 million people (155 million times 1%). To determine the number of new jobs needed to be created each month to keep unemployment from increasing, we divide this annual increase by 12 months. Thus, 1.55 million divided by 12 gives approximately 129,167 jobs that need to be created each month.

After 4 seconds, the car in Problem # 2 applies the brakes and comes to a full stop after 2 seconds. What is the acceleration of the car and what is the braking distance?


#2 A car accelerates from rest at 4 m/s^2. What is the velocity of the car after 4 second?

Answers

If the car is accelerating uniformly then,
velocity of car at the fourth second is 16m/s
Then if the car with this velocity stopped after 2s then acceleration is,
a=0-16/2=-8m/s^2
braking distance is given by
d=16*2-0.5*8*2*2
=32-16
=16m
this answer is valid only if the motion is one dimensional
all the best.

How many 750.0-ml wine bottles can be purged with the argon in the canister at a pressure of 1.26 atm and a temperature of 283 k ?

Answers

Approximately 0.0305 wine bottles can be purged with the argon in the canister.

Let's go through the calculations step by step:

Given:
- Pressure (\(P\)) = 1.26 atm
- Volume (\(V\)) = 0.75 L (converted from 750.0 ml)
- Temperature (\(T\)) = 283 K
- Ideal Gas Constant (\(R\)) = 0.0821 L·atm/(mol·K)

Now, use the ideal gas law to find the number of moles [tex](\(n\)):\[ n = \frac{PV}{RT} \][/tex]

[tex]\[ n = \frac{(1.26 \, \text{atm}) \times (0.75 \, \text{L})}{(0.0821 \, \text{L·atm/(mol·K)}) \times (283 \, \text{K})} \]\[ n = \frac{0.945}{23.2263} \]\[ n \approx 0.0408 \, \text{mol} \][/tex]

Now, let's assume that the argon canister contains pure argon, and we need to find out how many moles of argon are in a wine bottle. Argon's molar mass is approximately 39.95 g/mol.

[tex]\[ \text{Moles of argon in a wine bottle} = \frac{\text{Molar mass of argon} \times \text{Volume of the bottle}}{\text{Molar volume at STP}} \]\[ \text{Moles of argon in a wine bottle} = \frac{(39.95 \, \text{g/mol}) \times (0.75 \, \text{L})}{22.4 \, \text{L/mol}} \]\[ \text{Moles of argon in a wine bottle} \approx 1.34 \, \text{mol} \][/tex]

Finally, to find the number of wine bottles that can be purged with the argon in the canister:

[tex]\[ \text{Number of bottles} = \frac{\text{Total moles in canister}}{\text{Moles in one bottle}} \]\[ \text{Number of bottles} = \frac{0.0408 \, \text{mol}}{1.34 \, \text{mol/bottle}} \]\[ \text{Number of bottles} \approx 0.0305 \][/tex]

Therefore, approximately 0.0305 wine bottles can be purged with the argon in the canister.


Which of the following is an accurate statement?



A. AC Generators produce current that is pulsating, but always remains positive.
B. Step-down voltage transformers have a different number of turns in the primary than in the secondary winding, so they change the incoming voltage to a higher voltage.
C. DC Generators produce current with a voltage that changes from positive to negative.
D. Step-up voltage transformers have a lower number of turns in the primary than in the secondary winding.

Answers

The correct option is D.
A step up voltage transformer is a type of transformer which increases voltage from primary to secondary turns. The transformer has more secondary winding turns than primary winding turns. A step up transformer is designed to increase voltage because high voltage increases efficiency.

Which subatomic particle is electrically neutral and found in the nucleus of an atom? proton neutron electron orbital nucleus?

Answers

Neutron is electrically neutral and is found in the nucleus of the atom

Answer:

Neutron

Explanation:

Neutron is an electrically neutral subatomic particle found in the nucleus of an atom.

Protron is an electrically positive subatomic particle found in the nucleus of an atom.

Electron is an electrically negative subatomic particle found in the orbital of an atom.

Approximating venus's atmosphere as a layer of gas 50 km thick, with uniform density 21 kg/m3, calculate the total mass of the atmosphere.

Answers

The diameter of Venus (from tables) is 12,100 km.
Therefore its radius is
r = 12100/2 = 6050 km = 6050 x 10³ m = 6.05 x 10⁶ m

The layer of gas is 50 km thick.
The outer radius of the surrounding layer of gas is
R = r + 50 x 10³ m
   = 6.05 x 10⁶ + 50 x 10³ m
   = 6.1 x 10⁶ m

The volume of the layer of gas is
V = [(4π)*3] * [(6.1 x 10⁶)³ - (6.05 x 10⁶)³] m³
    = [(4π)/3] * 5.535875 x 10¹⁸ m³
    = 2.318862 x 10¹⁹ m³

Because the density of the gas layer is 21 kg/m³, therefore the mass of the gas layer is
m = (21 kg/m³) * (2.318862 x 10¹⁹ m³)
    = 4.8696 x 10²⁰ kg

Answer: [tex]4.8696 \times 10^{20} \, kg[/tex]

4.9x10^20 kg Venus has a radius of 6051.8 km, so we'll assume the total volume of the atmosphere is the volume of a sphere with a radius of (6051.8 + 50) km minus the volume of Venus itself. So V = 4/3 pi r^3 6051.8 + 50 = 6101.8 The overall expression is V = 4/3 pi 6101.8^3 - 4/3 pi 6051.8^3 V = 4/3 pi (6101.8^3 - 6051.8^3) V = 4/3 pi 5539155986 V = 23202362337 V = 2.32x10^10 km^3 V = 2.32x10^19 m^3 Now multiply the volume by the density. So V = 2.32x10^19 m^3 * 21 kg/m^3 = 4.87x10^20 kg So the atmosphere of Venus has a mass of about 4.9x10^20 kg

Discuss the properties of a scalar quantity. give an example of a scalar.

Answers

Answer:

A physical quantity which is described completely by its magnitude only, is called a scalar quantity.

Examples- Velocity ,Temperature, Speed

Properties

Scalar quantity does not have directions.It has magnitude onlyIt does not have directionIt is specified by a number and a unitIt is represented by quantity symbol

A certain car is accelerating at 5.0 km/h/s. Explain what is happening to the motion of the car.

Answers

the car is moving faster/accelerating quicker

A bag of sugar weighs 1.50 lb on earth. what would it weigh in newtons on the moon, where the free-fall acceleration is one-sixth that on earth?

Answers

Final answer:

A bag of sugar that weighs 1.50 lb (or 6.68 N) on Earth would weigh 1.11 N on the moon because the moon's gravity is only one-sixth as strong as Earth's gravity.

Explanation:

To find the weight of the bag of sugar on the moon, we first need to convert its weight on earth from pounds to newtons. As 1.0 lb is equivalent to 4.45 N, a 1.50-lb bag of sugar would weigh 6.68 N on Earth. On the moon, where the free-fall acceleration is one-sixth of what it is on Earth, this weight would be reduced by a factor of 6, giving a weight of approximately 1.11 N.

So, a 1.50-lb bag of sugar which weighs 6.68 N on Earth would weigh 1.11 N on the moon.

To understand why this is the case, it's necessary to understand that weight varies depending on location because it depends on the force of gravity. On the moon, gravity is only one-sixth as strong as it on Earth, which is why objects weigh less there.

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An insulated lunch bag keeps food warm by

Answers

trapping warm air in and keeping cold air out

An insulated lunch bag uses materials that slow down heat transfer.

Importance of Features in Insulated Containers

An insulated lunch bag keeps food warm by utilizing materials that slow down heat transfer, complying with the principles of thermodynamics. To understand which features are most important in minimizing the rate of a hot beverage cooling, we need to consider the mechanisms of heat transfer: conduction, convection, and radiation. A metal lining might conduct heat, leading to quicker heat loss, unless it's part of a vacuum layer such as in a thermos. Insulating cup material, on the other hand, is crucial as materials like polystyrene or foam are poor conductors of heat and therefore reduce heat loss through conduction. The importance of a lid can't be overstated because it traps hot air and reduces heat loss through convection.

A ball is dropped from a cliff and falls a distance of 20 m to the ground. Determine the velocity it hits the ground at and the time for the ball to fall.
A.v = -10 m/s, t = 2 s
B.v = 20 m/s, t = 4 s
C.v = -20 m/s, t = 2 s
D.v = 10 m/s, t = 2 s

Answers

Use the kinematic equation: d = vi • t + ½ • a • t^2
20=0(t)+(0.5)(9.8)(t^2)
20=4.9(t^2)
t=2.02seconds
---------------------------------
Final Velocity=Initial Velocity +at^2
Vf=(9.8)(2.02^2)
Vf=19.796
Final answer:

The ball hits the ground with a velocity of 19.6 m/s and it takes approximately 2.02 seconds for the ball to fall.

Explanation:

To determine the velocity the ball hits the ground at, we can use the equation v = gt, where g is the acceleration due to gravity, approximately 9.8 m/s². Since the ball falls for 2 seconds, the velocity is given by v = 9.8 m/s² * 2 s = 19.6 m/s. Therefore, the ball hits the ground with a velocity of 19.6 m/s.

To determine the time it takes for the ball to fall, we can use the equation h = (1/2)gt², where h is the height and t is the time. Rearranging the equation, we have t = √(2h/g). Substituting the given height of 20 m, the time is t = √(2 * 20 m / 9.8 m/s²) = √4.08 s ≈ 2.02 s. Therefore, the time for the ball to fall is approximately 2.02 seconds.

In a swimming pool, where is the greatest fluid pressure?

Answers

The greatest fluid pressure in a pool would be the deepest part of the pool. Because the deeper you go, the more pressure there is.

Answer:

At the bottom of swimming pool the pressure will be maximum.

Explanation:

Here as we know that pressure inside the water is given as

[tex]P = P_0 + \rho g h[/tex]

here we know that

[tex]P_0[/tex] = atmospheric pressure

[tex]\rho[/tex] = density of water

h = depth inside the water where pressure it to be required

So here from the above equation we know that pressure is increased as the depth inside the water is increased.

So in order to have maximum pressure inside the swimming pool we need to go at maximum depth position.

So it is at the bottom of the swimming pool pressure will be maximum.

If the resistance of an electric circuit is 12 ohms and the voltage in the circuit is 60 V the current flowing through the circuit is

Answers

Current = (voltage) / (resistance)

= 60v / 12 ohms

= 5 Amperes.

If the resistance of an electric circuit is 12 ohms and the voltage in the circuit is 60 V the current flowing through the circuit is 5A

What is ohm's law?

Ohm's law states that the voltage across a conductor is directly proportional to the current flowing through it, provided all physical conditions and temperatures remain constant

resistance = 12 ohm

voltage = 60 V

using ohm's law

V = IR

I = V/R

 = 60 / 12

 = 5 A

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The cooling effect inside a refrigerator is produced by

Answers

Actually, when the refrigeration liquid is vaporized, the cooling effect is produced

What properties determine the amount of inertia an object has?

Answers

The tendency of an object to resist changes in its state of motion varies with mass. Mass is that quantity that is solely dependent upon the inertia of an object. The more inertia an object has, the more mass it has. A more massive object has a greater tendency to resist changes in its state of motion.Hope this helps you! Good luck on your assignment and have a great day! :D 

The particle moves first along the y axis from the origin to the point (0,6m) and then parallel to the x axis until it reaches (3m,6m). it is subject to a force f⃗ =cxyi^+dj^, where c = 8.0 n/m2 and d = 13 n . calculate the work done by the force. express your answer using two significant figures.

Answers

First we calculate the force.

F = 8 *3 * 6 i + 13 j = 144 i + 13 j

F = sqrt (144^2 + 13^2) = 144.59 N

 

Then calculate the displacement d.

d = sqrt (3^2 + 6^2) = 6.71 m

 

Work is the produce of force and displacement, therefore:

W = F d = 144.59 N * 6.71 m

W = 970 J

The work done by the force on the particle which moves first along the y-axis from the origin and then parallel to the x-axis is 970 J.

How to find work done?

Work done is the force applied on a body to move it over a distance. Work done can be calculated with the following formula.

[tex]W=F\times d[/tex]

Here (F) is the magnitude of force and (d) is the distance traveled.

The particle moves first along the y axis from the origin to the point (0,6m) and then parallel to the x axis until it reaches (3m,6m).

The particle is subject to a force,

[tex]\vec F=cxy\hat i+d\hat j[/tex]

Here,  c = 8.0 N/m2 and d = 13 N. The final point of the displacement of the particle is (3 m, 6 m).

Put the values of (x,y), c and d to find the value of force.

[tex]\vec F=(8)(3)(6)\hat i+(13)\hat j\\\vec F=144\hat i+13\hat j[/tex]

Solving this equation as,

[tex]F=\sqrt{(144)^2+(13)^2}\\F=144.59\rm\; N[/tex]

The initial position of the particle is at the origin (0, 0) and the final position of the particle is (3 m, 6 m). Thus, the displacement is,

[tex]d=\sqrt{(3-0)^2+(6-0)^2}\\d=6.71\rm\; m[/tex]

The work done will be,

[tex]W=144.59\times(6.71)\\W=970\rm\; J[/tex]

Hence, the work done by the force on the particle which moves first along the y-axis from the origin and then parallel to the x-axis is 970 J.

Learn more about the work done here;

https://brainly.com/question/25573309

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