a cart with a mass of 4kg is moving on level ground at 3m/s. what is its kinetic energy?

Answers

Answer 1

A cart with a mass of 4kg is moving on level ground at 3m/s, its kinetic energy is:  18 Joules.

The kinetic energy of a 4kg cart moving at 3m/s on level ground can be calculated using the kinetic energy formula: KE = 0.5 * m * v^2, where KE is the kinetic energy, m is the mass of the cart, and v is its velocity.

Step 1: Identify the mass (m) and velocity (v) given in the question:
m = 4kg
v = 3m/s
Step 2: Plug the values into the kinetic energy formula:
KE = 0.5 * 4kg * (3m/s)^2
Step 3: Calculate the kinetic energy:
KE = 0.5 * 4kg * 9m^2/s^2
KE = 2 * 9kg * m^2/s^2
KE = 18 kg * m^2/s^2 or 18 Joules

So, the kinetic energy of the cart is 18 Joules.

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Related Questions

Assuming that you start with 2.00 g of sodium benzoate and 5 ml of 3 m hcl, how many molar equivalents of hcl are you using?

Answers

To determine the number of molar equivalents of HCl used, we need to first calculate the number of moles of HCl and then compare it to the number of moles of sodium benzoate. The molar equivalents represent the ratio of moles between the two compounds.

To calculate the number of moles of HCl, we can use the formula:

moles = concentration (M) × volume (L)

Given that the concentration of HCl is 3 M and the volume is 5 mL (which can be converted to 0.005 L), we can calculate the moles of HCl:

moles of HCl = 3 M × 0.005 L = 0.015 moles

Now, to determine the number of molar equivalents of HCl, we need to compare it to the number of moles of sodium benzoate. Since the molar ratio between HCl and sodium benzoate is 1:1, the number of molar equivalents of HCl used is also 0.015.

Therefore, 0.015 molar equivalents of HCl are being used in this reaction.

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CAN U PLS CHECK IF IT CORRECT I'LL MARK YOU BRAINLIST

CAN U PLS CHECK IF IT CORRECT I'LL MARK YOU BRAINLIST

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Answer:

l think that the answer is 10.hope this helps . Can you mark me the brainest pliz.lt's LAURA RAYS AMIRA.

Answer:

Explanation:

700-40 = 760

760/10 = 76

It will take her 76 days to finish the book

what is mercury barometer​

Answers

A mercury barometer is a device that is used to measure atmospheric pressure at a location. :)

A car of mass of 1200 kg is driven around a corner of a radius of 45m at 15 ms-1
.
(a) Calculate the acceleration of the car.
(b) Calculate the centripetal force acting on the car.
(c) Explain how the centripetal force is being produced.

Answers

Explanation:

w = v/r

= 15/ 45 = 1/3 rads-¹

a = w²r

= 1/9 • 45 = 5 ms-²

F = mv²/r

= 1200• 15• 15/45

= 6000N

The car, when rounding the curve, is pulled towards the center by the friction between it's wheels and the road.

The jet fuel in an airplane has a mass of 97.5 kg and a density of 0.804 g/cm3. what is the volume of this jet fuel? d=m/v

Answers

The volume of the jet fuel with a mass of 97.5 kg and a density of 0.804 g/cm³ is approximately 121.28 liters.

To calculate the volume of the jet fuel, we can use the formula for density:

density (ρ) = mass (m) / volume (v)

Rearranging the formula to solve for volume, we have:

volume (v) = mass (m) / density (ρ)

The mass of the jet fuel is 97.5 kg and the density is 0.804 g/cm³, we need to convert the density to the appropriate units. Since the given mass is in kilograms, we'll convert the density to kg/cm³ as well.

0.804 g/cm³ = 0.804 × 10³ kg/m³ = 804 kg/m³

Now we can substitute the values into the formula:

volume (v) = 97.5 kg / 804 kg/m³

Simplifying the equation:

volume (v) = 0.12128 m³

To convert the volume to liters, we multiply by 1000:

volume (v) = 0.12128 m³ × 1000 = 121.28 liters

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I WILL MARK BRAINLIEST

I WILL MARK BRAINLIEST

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Answer:

well I mean it would depend on where u live for this question that's the only reason I am confused.. I'm pretty sure it's A thi

I believe the answer is A given by the position of the arrow

3. While playing Mario Kart you are losing to your friend at Baby Park, luckily you get a red and green shell. To do the most damage you want to hit them with a lot of momentum. (a) If the red shell is 5 kg and moves at 9 m/s, while the green shell is 3 kg and moves at 17 m/s, which shell should you use? (b) Instead of the shell hitting, your friend throws a red shell behind them so that within a 0.5 seconds your shell comes to a complete stop. How much force does your shell have?

Answers

a)

Answer:

Explanation:

a) We want to pick the ball with the greatest momentum. Recall, the formula for calculating momentum is expressed as

Momentum = mv

where

m is the mass of the shell

v is the velocity of the shell

Considering the red shell,

mass = 5

velocity = 9

Momentum of red shell = 5 x 9 = 45 kgm/s

Considering the green shell,

mass = 3

velocity = 17

Momentum of green shell = 3 x 17 = 51 kgm/s

He should use the green shell because it greater momentum

what factors does the speed of sound depend upon? what are some factors that it does not depend upon?

Answers

Not volume or frequency, but wind, temperature, and humidity are factors. In a given medium, all sounds propagate at the same pace.

What do you mean by sound?

Sound is a vibration that travels through a medium as a mechanical wave. It is produced by a vibrating body. It can spread via a solid, a liquid, or a gas as the medium.

What does a sound mean in science?

Sound is a form of energy created by vibrations. Air molecules nearby move as an item vibrates. These molecules collide with the molecules nearby, causing them to vibrate as well. They then collide with additional surrounding air molecules as a result.

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what makes the gravity of a black hole so strong

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Answer:

matter has been squeezed into a tiny space.Explanation:A black hole is a place in space where gravity pulls so much that even light can not get out. The gravity is so strong because This can happen when a star is dying. Because no light can get out, people can't see black holes.

What is the si unit of force? what is this unit equivalent to in terms of fundamental units?.

Answers

The SI unit of force is newton N.

What is force?

The definition of force is being explained by the Newtons Second law of Motion. This law states that the force is equal to the change in momentum per change in time. When we have to calculate the force for a constant mass, it is equal to the product of mass and acceleration i.e., F= ma

There are total seven fundamental units in physics.

Force = mass x acceleration

Force = kilogram x meter/ second 2

So, the unit of force derived from fundamental units are kg m/s2 and newton N is the unit in international system of units.

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Which of the following is a pair of scalar quantities

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The pair of scalar quantities is time - speed. Option, C is correct.

Time is a scalar quantity as it only measures the duration or quantity of a particular event or action, and has no direction associated with it. Similarly, speed is a scalar quantity as it only measures how fast an object is moving and has no direction associated with it.

Velocity and displacement are vector quantities as they have both magnitude and direction associated with them. Velocity is the rate at which an object changes its position with respect to time, and has both magnitude and direction associated with it. Displacement is the distance and direction between an object's initial position and its final position, and has both magnitude and direction associated with it.

Hence, C. is the correct option.

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--The given question is incomplete, the complete question is

"Which of the following is a pair of scalar quantities? A) velocity - distance B) velocity - displacement C) time - speed."--

A 2.0-cm-diameter spider is 2.6 m from a wall.
Determine the focal length f and position s' (measured from the wall) of a lens that will make a double-size image of the spider on the wall.

Answers

The lens should have a f = 0.520 m focal length, and the picture distance should be s' = 2s = 1.734 m.

What is the image distance formula?

Analyze the focal length to see whether it is positive or negative. Decide whether the object distance is positive or negative in step two. Step 3: Determine how far the image is from the lens using the equation di=11f1do d I = 1 1 f 1 d o.

Assuming that the lens is thin, we can use the thin lens equation to relate the object distance (s) and image distance (s') to the focal length (f):

1/f = 1/s + 1/s'

We can use similar triangles to relate the object distance s and image distance s' to the heights h and h':

h / s = h' / s'

Substituting h = 2 cm and h' = 4 cm, we have:

\(2 cm / s = 4 cm / s'\)

s' = 2 s

Substituting this expression for s' into the thin lens equation, we have:

1/f = 1/s + 1/2s

3/2s = 1/f

s = 2f/3

Now, we can use the given distance from the spider to the wall to set up another equation:

s + s' = 2.6 m

Substituting s' = 2s, we have:

s + 2s = 2.6 m

s = 0.867 m

Substituting this value of s into the expression for s in terms of f, we have:

0.867 m = 2f/3

f = 0.520 m

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1.²₁ f(x) dx, where x ≤ n f(x) = { sin (x), -3 sin(x), X > T (Express numbers in exact form. Use symbolic notation and fractions where needed.) 2x 1² f(x) dx = Calculate

Answers

The given problem involves calculating the definite integral of a function f(x) over a specific range. The function f(x) is defined differently for different values of x, and the final result of the definite integral \(1^2\)₁ f(x) dx, where x ≤ n, is -cos(n) - (-cos(1)) + 3cos(T) - 3cos(n) + infinity.

To calculate the definite integral 1²₁ f(x) dx, where x ≤ n, we need to evaluate the integral of the given function f(x) over the specified range. The function f(x) has different definitions depending on the value of x. For x ≤ n, the function is sin(x), and for x > n, the function is -3sin(x). Additionally, the function is defined as 2x for values of x greater than a certain threshold T.

To solve this problem, we need to consider the different intervals of the range separately. First, we integrate sin(x) over the interval 1 to n. The integral of sin(x) is -cos(x), so the value of this part of the integral becomes -cos(n) - (-cos(1)).

Next, we need to integrate -3sin(x) over the interval n to T. The integral of -3sin(x) is 3cos(x), so this part of the integral becomes 3cos(T) - 3cos(n).

Lastly, we integrate 2x over the interval T to infinity. The integral of 2x is \(x^2\), so this part of the integral becomes infinity.

Combining these three parts, the final result of the definite integral \(1^2\)₁ f(x) dx, where x ≤ n, is -cos(n) - (-cos(1)) + 3cos(T) - 3cos(n) + infinity.

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When the system pressures are lower than the pressure in the refrigerant tank, such as when the system has just been evacuated or if the system is out of refrigerant, refrigerant can be added to both the high and low pressure sides of the system. A. True B. False

Answers

Answer: True

Explanation:

It should be noted that when refrigerant is added in vapor form to the operating refrigeration system, then the addition of the refrigerant should be to the low-pressure side of the refrigeration system.

Furthermore, when system pressures are lower than the pressure in the refrigerant tank as stated in the question, then the refrigerant can be added to both the high and low pressure sides of the system.

Therefore, the correct option is true.

PLEASE HELP WILL MARK AND 5 STARS I AM TIMED!!!!!!!!1

PLEASE HELP WILL MARK AND 5 STARS I AM TIMED!!!!!!!!1

Answers

Answer:

is there a better picture

A loud factory machine produces sound having a displacement amplitude in air of 1.00 mum. but the frequency of this sound can be adjusted. In order to prevent ear damage to the workers, the maximum pressure amplitude of the sound waves is limited to 10.0 Pa Under the conditions of this factory, the bulk modulus of air is 1.29 x 10^5 Pa. The speed of sound in air is 344 m/s. What is the highest-frequency sound to which this machine can be adjusted without exceeding the prescribed limit? Part B Is this frequency audible to the workers?

Answers

Therefore, the highest-frequency sound to which this machine can be adjusted without exceeding the prescribed limit is approximately 0.00380 Hz.

As for Part B, this frequency is far below the range of human hearing, which typically extends from about 20 Hz to 20,000 Hz. Therefore, this sound would not be audible to the workers.

The displacement amplitude of a sound wave is related to its pressure amplitude by:

A_p = ρvωA

where A_p is the pressure amplitude, ρ is the density of the medium (air), v is the speed of sound in air, ω is the angular frequency (2π times the frequency f), and A is the displacement amplitude.

We can solve for the angular frequency:

ω = A_p / (ρvA)

Substituting the given values, we get:

ω = (10.0 Pa) / \((1.29 x 10^5 Pa) (344 m/s) (1.00 x 10^-6 m)\)

ω ≈ 0.0239 rad/s

The frequency of the sound wave is:

f = ω / (2π)

f ≈ 0.00380 Hz

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a carnot heat engine and an ordinary refrigerator with coefficient of performance 1.85 operate between reservoirs at 335 k and 265 k . the work done by the carnot heat engine drives the refrigerator. If the heat engine extracts 11.5 J of energy from the hot reservoir, how much energy does the refrigerator exhaust to the hot reservoir?

Answers

A Carnot heat engine operating between reservoirs at 335 K and 265 K extracts 11.5 J of energy from the hot reservoir, and the work done by the Carnot engine drives a refrigerator with a coefficient of performance of 1.85. The amount of energy that the refrigerator exhausts to the hot reservoir is 21.275 J.

We can solve this problem using the principles of thermodynamics and the equations that describe the behavior of a Carnot engine and a refrigerator.

To find the efficiency of the Carnot engine.

The efficiency of a Carnot engine is given by:

η = 1 - (Tc/Th)

where η is the efficiency,

Tc is the temperature of the cold reservoir, and

Th is the temperature of the hot reservoir.

Substituting in the values given in the problem, we get:

η = 1 - (265/335) = 0.208

Next, we can use the efficiency of the Carnot engine to find the amount of energy that it exhausts to the cold reservoir. The work done by the Carnot engine is given by:

W = Qh - Qc

where W is the work done,

Qh is the amount of heat absorbed from the hot reservoir, and

Qc is the amount of heat exhausted to the cold reservoir.

We know that W = 11.5 J, and we can use the efficiency of the Carnot engine to find Qc:

η = Qh/W

Qh = ηW = 0.208 x 11.5 J = 2.392 J

Therefore, the amount of energy that the Carnot engine exhausts to the cold reservoir is Qc = Qh - W = 2.392 J - 11.5 J = -9.108 J.

Note that this value is negative because the Carnot engine is doing work on the refrigerator, so energy is being transferred from the cold reservoir to the hot reservoir.

Finally, we can use the coefficient of performance of the refrigerator to find the amount of energy that it exhausts to the hot reservoir. The coefficient of performance is given by:

COP = Qc/W

where COP is the coefficient of performance and

Qc is the amount of heat exhausted to the hot reservoir.

Substituting in the values given in the problem, we get:

1.85 = Qc/11.5 J

Solving for Qc, we get:

Qc = 21.275 J

Therefore, the amount of energy that the refrigerator exhausts to the hot reservoir is Qc = 21.275 J.

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Can someone please answer this, ill give you brainliest Would be very appreciated.

Can someone please answer this, ill give you brainliest Would be very appreciated.

Answers

Answer:

Option 3

Explanation:

As the roots of the plant hold soil in place, it helps prevent soil erosion.

The other options are true, but they are not correct explanations as to why plants help prevent erosion.

in which sequence are the celestial objects correctly listed in order from the smallest mass to the largest mass?

Answers

The celestial objects correctly listed in order from the smallest mass to the largest mass are:

AsteroidMoonPlanetStarSolar systemGalaxyUniverse

What is the average mass of celestial objects?

The celestial objects have a wide variety of shapes and masses. Based on some scientific equations, the average mass of different celestial objects is stated as below:

Asteroid: approximately 2,39 x 10^21 kg or about 3% of the mass of the Moon.Moon: approximately 7,3 x 10^22 kg.Jupiter, the largest planet in the Solar system: 1.898 x 10^24 kg.Star: 0,5 to 8 times the mass of our Sun (2 x 10^30 kg).

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School Assembly conduction script​

Answers

Answer:

what is the question?

Imagine you are an astronomer who recently discovered a new planet orbiting a distant star.
Which set of characteristics would you use to classify this planet as an inner or terrestrial planet? Check all that apply.
D dense and solid
D- very large
O thick atmosphere containing hydrogen and helium
D lacking a solid surface
D located near a star

Answers

Answer:

I think its dense and solid and located near a star.

Explanation:

Hope this helps, good luck.

determine the equilibrium constant for a reaction at 200.0 k if ∆g° =56.90 kj/mol. (r = 8.314 j/mol ・ k)

Answers

The equilibrium constant (K) for a reaction at 200.0 K with a given ΔG° = 56.90 kJ/mol is 1.33 x 10⁻¹⁵.

To determine the equilibrium constant (K) for a reaction at 200.0 K with a given ΔG° = 56.90 kJ/mol, you can use the following equation:

ΔG° = -RT ln(K)

Where ΔG° is the standard Gibbs free energy change, R is the gas constant (8.314 J/mol・K), T is the temperature in Kelvin, and K is the equilibrium constant. First, we need to convert ΔG° to J/mol:

56.90 kJ/mol * 1000 J/kJ = 56900 J/mol

Now, rearrange the equation to solve for K:

ln(K) = -ΔG° / (RT)

Plug in the given values:

ln(K) = -56900 J/mol / (8.314 J/mol×K × 200.0 K)

Calculate ln(K):

ln(K) ≈ -34.26

To find K, take the natural exponent (e) of the calculated ln(K):

K = e⁻³⁴°²⁶

K ≈ 1.33 x 10⁻¹⁵

So, the equilibrium constant (K) for the reaction at 200.0 K is approximately 1.33 x 10⁻¹⁵

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A block of wood has density 0.500 g/cm3 and mass 2 000 g. It floats in a container of oil (the oil's density is 0.750 g/cm3). What volume of oil does the wood displace

Answers

Answer:

2,666.67cm^3

Explanation:

All we need to do in this problem is divide the mass of the wooden block to the oil's density.

2000/0.750 ≈ 2,666.67cm^3

Best of Luck!

Calculate the air pressure in the pressurized tank, if h1 = 0. 18 m, h2 = 0. 2m and h3 = 0. 25m. The density of the mercury, water and oil are 13,600 kg/m3,1000 kg/m3 and 850 kg/m3, respectively

Answers

The air pressure in the pressurized tank will be 24014.88 N/m²,196.2 N/m²,2084.625  N/m².

What is pressure?

The force applied perpendicular to the surface of an item per unit area across which that force is spread is known as pressure.

It is denoted by P. The pressure relative to the ambient pressure is known as gauge pressure.

Pressure is found as the product of the density,acceleraton due to gravity and the height.

P₁=ρ₁gh₁

P₁=13,600 kg/m³×9.81 (m/s²)×0.18 m

P₁=24014.88 N/m²

P₂=ρ₂gh₂

P₂= 1000 kg/m³×9.81 (m/s²)×00.2 m

P₂=196.2 N/m²

P₃=ρ₃gh₃

P₃=850 kg/m³×9.81 (m/s²)×0.25

P₃=2084.625  N/m²

Hence,the air pressure in the pressurized tank will be 24014.88 N/m²,196.2 N/m²,2084.625  N/m².

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2. Your household electricity system is labeled as 127V/30A. If each electricheater consumes 1600W. How many such heaters can be running at the sametime safely?

Answers

We can calculated the maximum power as follows:

\(\begin{gathered} P_{Max}=VI \\ so: \\ P_{Max}=(127)(30) \\ P_{Max}=3810W \end{gathered}\)

Since the heater consumes 1600W, we can write the following inequality:

\(n1600<3810\)

Where n is the number of heaters, so:

\(\begin{gathered} n<\frac{3810}{1600} \\ n<2.38 \\ so: \\ n\approx2 \end{gathered}\)

Answer:

2 heaters

An astronomer observes the moon when it is in its last quarter phase. What lunar phase will the astronomer be able to observe in about 28 days

Answers

Answer:

new moon is the answer to question

Unbalanced forces cause a change in motion.

How do you know this?

Answers

Answer:

This happens in two ways. If an object is at rest and an unbalanced force pushes or pulls the object, it will move. Unbalanced forces can also change the speed or direction of an object that is already in motion.

Explanation:

An astronaut in the space shuttle is orbiting the earth at an altitude of 2.982 x 10^5 m. He sends a radio transmission to a receiving antenna directly below him on the earth. What is the time delay between the time he sends his signal and when the receiving antenna on the earth picks it up?

Answers

Ayúdenlo al pana necesita sus respuesta

A 15.00 cm long solenoid with radius 2.50 cm is closely wound with 600 turns of wire. The current in the windings is 8.00 A. What is the magnetic field at a point near the center of the solenoid?
A) 4.80 T
B) 0.006 T
C) 0.4020 T
D) 0.0402 T

Answers

The magnetic field at a point near the center of the solenoid can be calculated using the formula B = μ₀ * n * I, where μ₀ is the permeability of free space, n is the number of turns per unit length, and I is the current in the windings.

First, we need to find the number of turns per unit length, which can be calculated by dividing the total number of turns by the length of the solenoid.
n = 600 / 15.00 cm = 40 turns/cm
Next, we need to convert the radius of the solenoid from centimeters to meters, as the unit for permeability is in Tesla meters per ampere (Tm/A).
r = 2.50 cm = 0.025 m
Now we can plug in the values into the formula: B = μ₀ * n * I
B = (4π * 10^-7 Tm/A) * 40 turns/cm * 8.00 A
B = 0.0402 T
Therefore, the magnetic field at a point near the center of the solenoid is 0.0402 T, which corresponds to option D in the given choices.

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obiect a is stationary while obiects b a n d are in motion forces from obiect a do 10 jof work on object b and - 5 jof workonobiect. forcesfromtheenvironmentdo4 ofwork on obiect b and 8 jof work on obiect c. obiects b and c do notinteract. ;if(a)objectsa,b,andc aredefinedasseparatesystemsandb)onesystemisdefinedto inchide obiects a. b. and a n d their interactions?

Answers

The total work done on object b by object a and the forces from the environment is 9 J.

In this scenario, object a is stationary while objects b and c are in motion. The work done on object b by object a is 10 J, and the work done on object c by object a is -5 J.

Additionally, the forces from the environment do 4 J of work on object b and 8 J of work on object c. Since objects b and c do not interact with each other, we can consider them as separate systems.

When considering objects a, b, and c as a separate system, the work done by object a on objects b and c is included. Therefore, the total work done on object b by object a is 10 J - 5 J = 5 J.

The work done on object b by the forces from the environment is 4 J. Thus, the total work done on object b is 5 J + 4 J = 9 J.

To summarize, when objects a, b, and c are considered as separate systems and object a is included, the total work done on object b by object a and the forces from the environment is 9 J.

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