If a 400 watt motor is left on for 10 minutes, assuming no energy is lost to friction, how fast could a 100 kg cart be moving?

Answers

Answer 1

Answer:

69.28 m/s

Explanation:

From the question given above, the following data were obtained:

Power = 400 Watt

Time (t) = 10 minutes

Mass (m) = 100 Kg

Velocity (v) =?

Next, we shall convert 10 mins to seconds (s). This can be obtained as follow:

1 min = 60 s

Therefore,

10 mins = 10 × 60

10 mins = 600 s

Next, we shall determine the energy. This can be obtained as follow:

Power = 400 Watt

Time (t) = 600 s

Energy (E) =?

E = Pt

E = 400 × 600

E = 240000 J

Finally, we shall determine how fast the cart is moving. This can be obtained as illustrated below:

Mass (m) = 100 Kg

Energy (E) = Kinetic energy (KE) = 240000 J

Velocity (v) =?

KE = ½mv²

240000 = ½ × 100 × v²

240000 = 50 × v²

Divide both side by 50

v² = 240000 / 50

v² = 4800

Take the square root of both side

v = √4800

v = 69.28 m/s

Thus, the cart is moving with a speed of 69.28 m/s


Related Questions

when the body said to be in equilibrium​

Answers

Answer:

Oh! I just learned abt this

Explanation:

the body is said to be in equilibrium if it is resting or moving with uniform velocity.

Answer: The body is said to be in balance if it is at rest or moving at a uniform speed. In other words, if the body's linear and angular acceleration is zero, the body is said to be in balance. 1

A 25N force is applied to a bar that can pivot around its end. The force is r=0.75 m away from the end of an angle at 0= 45. what is the torque on the bar?
a. What is the direction of the torque.
b. what is the sign of the direction of the figure.

Answers

Answer:

The answer is B. I had a question like this last week in my physics practice exam. dont have alot of time so I cant explain right now

Explanation:

The torque on the bar will be - 13.26 Nm. And the sign of the direction of the figure will be inside the plane.

What is the torque?

Torque is the rotating counterpart of force in physics and mechanics. The instant of force is another name for it. It illustrates how a force can cause a change in the body's rotational movement.

Let 'F' be the force and 'r' be the distance.

The torque is the vector product of the force and radius which is given as,

T = r x F

T = r · F · sin θ

A 25N power is applied to a bar that can turn around its end. The power is r = 0.75 m away from the finish of a point at θ = 45°.

Then the torque is calculated as,

T = - 0.75 x 25 x sin 45°

T = - 13.26 Nm

The sign of the direction of the figure will be inside the plane.

More about the torque link is given below.

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How is an electromagnetic field produced? Please I need answers

Answers

Answer:

by potential difference and electron gun

Explanation:

a magnetic field is produced whenever an electrical charge is in motion. The spinning and orbiting of the nucleus of an atom produces a magnetic field as does electrical current flowing through a wire. The direction of the spin and orbit determine the direction of the magnetic field.

Answer:

Electromagnetic field can be produced by the superposition of electric field and magnetic field.

Explanation:

What is superposition ?

When two or waves propagate in a medium without affecting each other , then at any instant the displacement of a particle will be equal to the vectorial sum of the displacements due to the waves.

Electromagnetic field can be produced by electric arc.It cab be produced by LC Circuits.

Hence Electromagnetic field can be produced by L-C CIRCUITS.

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In your community, there are lots of cats that are roaming around. What can
you do to take good care of these animals?

Answers

Try and gather them & if
you’re not able to care for them properly take them to a safe home or shelter.

Which of the following will induce an electric current in a wire?

a. Moving a magnet into a coil of wire
b. Moving a wire between the poles of a magnet
c. Turning a loop of wire between the poles of a magnet.
d. All of the above

Answers

I think it’s c but I don’t know for sure

A 16 g ball at the end of a 1.4 m string is swung in a horizontal circle. It revolves once every 1.09 s. What is the magnitude of the string's tension?



Answer and I will give you brainiliest

Answers

Answer:

6.56

Explanation:

frequency = 1/1.09 = 0.92 Hz

f = 1/(2L) × √T/m

0.92 = 1/2(1.4) × (√T/√16)

0.92 = 0.36 × (√T)/4

multiply all through by 4

3.68 = 1.44 × √T

√T = 3.68/1.44 = 2.56

T = 2.56² = 6.56

The magnitude of the string's tension as it is swung in a horizontal circle is 0.744 Newton

Given the data in the question;

Mass of the ball;[tex]m = 16g = 0.016kg[/tex]String is swung in a horizontal circle, Radius; [tex]r = 1.4m[/tex]Period of revolution; [tex]T = 1.09s[/tex]Magnitude of the string's tension; [tex]F_T = ?[/tex]

First, we need to get magnitude of the centripetal acceleration:

[tex]a_c = \frac{4\pi ^2r}{T^2}[/tex]

We substitute in our given values

[tex]a_c = \frac{4\pi ^2\ *\ 1.4m}{(1.09s)^2} \\\\a_c = 46.519 m/s^2[/tex]

Now, from Newton's Second Law of Motion:

[tex]F = m\ * \ a[/tex]

Where F is the force, m is the mass of the object and a is the acceleration

We substitute into the equation to get the magnitude of the string's tension.

[tex]F = 0.016kg \ *\ 46.519m/s^2[/tex]

[tex]F = 0.744 kg.m/s^2\\\\F = 0.744 N[/tex]

Therefore, the magnitude of the string's tension as it is swung in a horizontal circle is 0.744 Newton

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41. Electric and magnetic forces can both make certain objects move. For example, a positively charged particle will repel another positively charged particle. Which of these is the best way for a student to demonstrate the same principle using magnets?

Answers

Answer:

Place the north pole of a magnet next to the north pole of another magnet.

Explanation:

Looking at the comments, we can see that the options are:

Place the south pole of a magnet next to the north pole of another magnet.

Place the north pole of a magnet next to the north pole of another magnet.

First, we know that a positively charged particle will repel another positively charged particle.

The same thing happens for magnetic forces (usually we define a magnetic flow from the south pole to the north pole, so we can define the south pole as the "positive" and the north pole as the "negative", but this is only notation and do not really matter), a south pole of a magnet will repel another south pole of a magnet (and the same happens for the north poles)

Then the correct option is:

Place the north pole of a magnet next to the north pole of another magnet.

A light source emits light with dominant wavelengths in the range of 650 to 690 nm. what is the principle color of light emitted by the source?

Answers

Answer:

Please see below as the answer is self-explanatory.

Explanation:

The visible range extends roughly from 400 nm (violet) to 700 nm (red).Below the violet is the ultra-violet spectrum (with higher energy) and above red, we have the infra-red spectrum.The wavelengths in the range of 650 to 690 nm have red as the dominant color.

8.
Billiard ball A, mass 0.17 kg, is moving due east with a velocity of 4.0
m/s. It strikes stationary billiard ball B, which has the same mass. After
the collision, ball A moves at an angle of 30° north of east with a
velocity of 3.5 m/s. Ball B moves at an angle of 60° south of east.
What is the speed of ball B?

Answers

Answer:

2 m/s

Explanation:

The momentum of the colliding system is conserved . Therefore, the velocity of the ball B with the same mass as A is 0.52 m/s.

What is momentum ?

Momentum of a body is the ability to bring the applied force makes maximum displacement. it is the product of mass and velocity. For a collision, the sum of initial momentum of the two bodies is equal to the sum of their final momentum.

Thus, u be the initial velocity and v be the final velocity.

Then, m1 u1+ m2 u2 = m1 v1 + m1 v2

m1 =  0.17 kg

u1 = 4 m/s

m2 = 0.17 kg

u2 = 0

Then initial momentum = 0.17 × 4 m/s + 0 = 0.68 kg m/s

v1 = 3.5 m/s

0.68 kg m/s = (0.17 × 3.5 m/s ) +  (0.17 × v2)

then v2 = 0.52 m/s.

Therefore, the velocity of ball B after collision will be 0.52 m/s.

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proof that the kinetic energy of a moving body is half mv square​

Answers

Answer:

1

Explanation:

WILL GIVE BRAINLIEST

Lucas is carrying his rock collection into class. He carries 30 pounds of rare rocks 15 feet into Classroom 6. It takes him
3 minutes to get them into the classroom What is Lucas's speed and level of work? Be sure to show your work with
equations as part of your answer.

Answers

Answer:

10 and 5

Explanation:

Answer:

It is given that,

Force, F = 30 pounds = 133.4 N

Distance, d = 15 feet = 4.572 m

Time taken, t = 3 minutes = 180 seconds

Lucas's speed is given by the ratio of total displacement divided by total time taken. It is given by :

s = 0.0254 m/s

So, her speed is 0.0254 m/s.

Work done, W = F . d

W = 133.4 N × 4.572 m

W = 609.90 J

or

W = 610 J

Hence, this is the required solution.

A person in car slides to the right when going through a very sharp left turn on the highway. Is that law of inertia or law of acceleration?​

Answers

Answer:

Inertia :)

Explanation:

A person is standing on a level floor. His head, upper torso, arms, and hands together weigh 458 N and have a center of gravity that is 1.34 m above the floor. His upper legs weigh 120 N and have a center of gravity that is 0.766 m above the floor. Finally, his lower legs and feet together weigh 89.8 N and have a center of gravity that is 0.204 m above the floor. Relative to the floor, find the location of the center of gravity for the entire body.

Answers

Answer:

the location of the center of gravity for the entire body is 1.08 m

Explanation:

Given the data in the question;

w1 = 458 N, y1 = 1.34 m

w2 = 120 N, y2 = 0.766 m

w3 = 89.8 N, y2 = 0.204 m

The location arrangement of the body part is vertical, locate the overall centre of gravity by simply replacing the horizontal position x by the vertical position y as measured relative to the floor.

so,

[tex]Y_{centre of gravity}[/tex] = (w1y1 + w2y2 + w3y3 ) / ( w1 + w2 + w3 )

so we substitute in our values

[tex]Y_{centre of gravity}[/tex] = (458×1.34 + 120×0.766 + 89.8×0.204 ) / ( 458 + 120 + 89.8 )

[tex]Y_{centre of gravity}[/tex] = 723.9592 / 667.8

[tex]Y_{centre of gravity}[/tex] = 1.08 m

Therefore, the location of the center of gravity for the entire body is 1.08 m

1. What is the equivalent resistance in this circuit?
2. What is the current in this circuit?

Answers

1. The equivalent resistance in a series circuit, like the one shown, is given by the general equation

[tex]R_{S} = R_1 + R_2 + R_3 + . . . + R_{N-1} + R_N = \sum_{i=1}^N R_i[/tex]

where N is the number of resistors in series. Here, there are four resistors in series. Using our equation with N = 4, we obtain

[tex]R_{S} &= R_1 + R_2 + R_3 + R_4 \\ R_{S} = 2.0 \, \Omega + 3.0 \, \Omega + 4.0 \, \Omega + 6.0 \, \Omega \\ R_{S} = 15.0 \, \Omega.[/tex]

2. The current in this series circuit is equal to the voltage divided by the equivalent resistance (a relationship you can derive from Ohm's law):

[tex]I = \frac{V}{R_{S}} = \frac{45 \, V}{15.0 \, \Omega} = 3.0 \, A. \nonumber[/tex]

Which of the following laws explains why a net force of 950,000 N is needed at takeoff to accelerate the
530,000 kg Atlas V rocket carrying the rover at a rate of 1.8 m/s2?
A
Newton's third law of motion
B
conservation of momentum
С
Newton's second law of motion
D
Newton's first law of motion

Answers

Answer:

Newton's second law of motion

17. If ice has a density of 0.92g/cm?, what is the mass of a 30 cm block?
I

Answers

Answer:

Mass = 27.6 grams

Explanation:

Given the following data;

Density of ice = 0.92g/cm³

Volume = 30cm³

To find mass of ice;

Density can be defined as mass all over the volume of an object.

Simply stated, density is mass per unit volume of an object.

Mathematically, density is given by the equation;

[tex]Density = \frac{mass}{volume}[/tex]

Making mass the subject of formula, we have;

[tex] Mass = density * volume [/tex]

[tex] Mass = 0.92 * 30 [/tex]

Mass = 27.6 grams

Therefore, the mass of ice is 27.6 grams.

What happens when a mixture is formed?

Answers

physical properties change

hope that helps

Answer:

Explanation:

A mixture can usually be separated back into its original components. Some examples of mixtures are a tossed salad, salt water and a mixed bag of M&M's candy.

6th grade science I mark as brainliest (can someone answer my other question like this?)

Answers

Answer:A: July

B: July and august

C:true

Explanation:

What color is seen when cyan light is shown on magenta paper

Answers

Answer:

blue

You see white. What happens when you shine cyan light on a magenta shirt? You see blue.

Explanation:

A car traveled a distance of 467.5 km in 5.5 hours . What was its speed in (a) km/h and (b) m/sec ?

Answers

Answer:

(a) 85 km/h

(b) 425/18

Explanation:

Use v= d/t

convert km to m

and convert h to s

Explanation:

A car traveled a distance of 467.5 km in 5.5 hours . What was its speed in (a) km/h and (b) m/sec ?

PLZ SOLVE ALL 10
1. What are the six nutrients? Which nutrients provide energy?


2. What percentage of your diet should come from carbohydrates? From protein?


3. What is the primary role of carbohydrates in the body? What are the two major types of carbohydrates?

4. Where does Fiber come from? How much should you consume per day?


5. What is the primary function of protein in the body?


6. What is the primary role of fat in the body?


7. What are the major types of fat? What types of fat are most dangerous to your health?


8. What are vitamins, and why are they important?


9. What are minerals, and why are they important?


10. How much of the human body is made of water? How much fluid should an average person drink each day?

Answers

1) Carbohydrates, Lipids (fats), Protein, Vitamins, Minerals, and Water. proteins, fats and carbs provide energy.

2) 45 to 65 percent carbs, and 10-35 percent protein.

3) Carbs are your body's main source of energy. the 2 major types are simple and complex carbs

4) cereals, fruits and vegetables. You should have 25 to 30 grams a day.

5) It helps repair and build your body's tissues, allows metabolic reactions to take place and coordinates bodily functions.

6) It gives you energy and supports cell growth.

7) Saturated fats, Trans fats, Monounsaturated fats, and Polyunsaturated fats. trans fats are the most dangerous for your health

8) Vitamins and minerals are considered essential nutrients, They help shore up bones, heal wounds, and bolster your immune system. They can also help convert food into energy.

9) Minerals help build strong bones to transmitting nerve impulses. Some minerals are even used to make hormones or maintain a normal heartbeat.

10) 60% is made of water, 11 to 15 cups of water should be drank a day.

hope this helps :)

How tall is Mount Everest?

Answers

Answer: 29,035 feet

Explanation:

I have a voltage source of 12V but a light that only burns at 5V. The lamp works on 18 mA. Calculate the resistance that you EXTRA have to include in this series connection.

Answers

Answer:

The resistance that will provide this potential drop is 388.89 ohms.

Explanation:

Given;

Voltage source, E = 12 V

Voltage rating of the lamp, V = 5 V

Current through the lamp, I = 18 mA

Extra voltage or potential drop = 12 V - 5 V = 7 V

The resistance that will provide this potential drop (7 V) is calculated as follows:

[tex]R = \frac{V}{I} = \frac{7 \ V}{18 \times 10^{-3} A} \ = 388.89 \ ohms[/tex]

Therefore, the resistance that will provide this potential drop is 388.89 ohms.

Why do mountain climbers bring thick jackets when they go up the mountain?
A. The altitude increases as the temperature increases.
B. The altitude decreases as the temperature increases.
C. The temperature increases as the altitude increases.
D. The temperature decreases as the altitude increases.

Answers

Answer:

letter d is the right answer

Answer:

your answer is option B(The altitude decreases as the temperature increases.)

Explanation:

hope it's helpful to you

have a great day ahead

Describe how the boiling point of water on top of a mountain would be different from its boiling point at sea level.

Answers

Answer:

At elevated altitudes, any cooking that involves boiling or steaming generally requires compensation for lower temperatures because the boiling point of water is lower at higher altitudes due to the decreased atmospheric pressure.

Explanation:

Answer:

The Lower the air pressure the lower the boiling point.

The density of water is 1.0g/cm3. How many kilograms of water does a submerged 120-cm3 block displace? Recall that 1.0 kg weighs 9.8 N on Earth. What is the buoyant force on the block?

Answers

Answer:

The mass of the liquid displaced is 0.12 kgThe buoyant force on the block is 1.176 N.

Explanation:

Given;

density of water, ρ = 1.0 g/cm³

volume of the submerged block, V = 120 cm³

Applying Archimedes principle;

The mass of the liquid displaced is calculated as;

m = ρV

m = 1.0 g/cm³ x 120 cm³

m = 120 g

m = 0.12 kg

The buoyant force on the block is calculated as;

F = mg

F = 0.12 x 9.8

F = 1.176 N

Therefore, the buoyant force on the block is 1.176 N.

Compare and contrast the SI and the English systems of measurement.

Answers

Answer:

The international system of units otherwisely known as SI is widely used and accepted all over the globe while English system of measurement is only used by the British this limits their usage as it is applied in few part of the world which is Britain.

Both units are form of measurement being used for evaluating measurement

Explanation:

Answer:Both systems are used to numerically describe measurement. The SI system is based on the number 10 as well as multiples and products of 10. This makes it much easier to use, and so it has been the accepted system in scientific and technical applications

Explanation:The English system is more complicated as relationships between units of the same quantity aren’t uniform.

Define :density٬archimedes principle

Answers

Answer:

density is defined as the amount of mass contained in unit volume of a body .its si unit is kg/m*3

Answer:

Density is the amount of mass per unit volume of a substance.

Archimedes principle states that"When a body is totally or partially immersed in a liquid,it experience an upthrust which is equal to the weight of the liquid displaced"

14. Convert 22 degrees celsius to fahrenheit.
Please show your work

Answers

(22°C × 9/5) + 32 = 71.6°F

Answer:71.6 F

Explanation:

(22 x 9/5) + 32

Problem 3 (a) Assuming the human body (skin temperature 34◦C) to behave like an ideal thermal radiator, find the wavelength where the intensity from the body is a maximum. In what region of the electromagnetic spectrum is radiation with this wavelength? (b) Making whatever (reasonable) assumptions you may need, estimate the power radiated by a typical person isolated from the surroundings. (c) Estimate the radiation power absorbed by a person in a room in which the temperature is 20◦C.

Answers

Answer:

Explanation:

a )

We shall apply Wein's displacement law

λm x T = b where λm is wavelength of radiation having maximum intensity

T is absolute temperature of body , and b is  a constant

b = 2898 μm-K

T = 273 + 34 = 307 K

λm x 307 = 2898

λm = 9.44 μm

= 9440 nm

It is infrared radiation .

b )

We shall apply Stefan's law of radiation.

E = σA T⁴

E is emitted radiation by body acting as black body   , A is surface area , T is absolute temperature of body

σ = 5.67 x 10⁻⁸ J / m²T⁴

Surface area of a typical man's body A = 1.9 m²

T = 273 + 34 = 307 K

Assuming human body as black body

E = 5.67 x 10⁻⁸ x 1.9 x 307⁴ J/s

= 9.57 x 10² J/s

= 957 W .

c )

Radiation absorbed

E = 5.67 x 10⁻⁸ x 1.9 x ( 273 + 20 )⁴ J/s

= 794 W .

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