A 0.836 kg toy car is powered by two C cells (3.00 V total) connected directly to a small DC motor. The car has an effective energy conversion efficiency of 47.1%, meaning that 47.1% of the electric energy applied to the motor is converted into translational kinetic energy. After 7.15 s, the car, which is initially at rest, reaches a speed of 1.81 m/s. What is the average current supplied to the car's motor?

Answers

Answer 1

Answer:

  I = 0.160 A

Explanation:

For this exercise we must calculate the power supplied to the motor

power is the work done between the time interval

      P = W / t

      W = F x

      P = [tex]\frac{F \ x}{t}[/tex]

the force is

       F = ma

let's use kinematics

       v = v₀ + a t

as part of rest v₀ = 0

       a = v / t

       a = 1.81 / 7.15

       a = 0.253 m / s

therefore the applied force is

       F = m a

       F = 0.836 0.253

       F = 0.212 N

to calculate the work, let's find the distance traveled

       x = v₀ t + ½ a t²

       x = 0+ ½ a t²

       x = ½ 0.253 7.15²

       x = 6.457 m

therefore The power developed in this movement by the motor

       P = 0.212  6.457/7.15

       P = 0.19145 W

Let's use a direct proportion rule. If the for a supplied power of Ps = 1W to use 0.471W, what power is united when the effective is 0.19145 W

       P_s = 0.19145 W (0.471W/1W)

       P_s = 0.4786 W

       P_s = 0.479 W

how electrical power is

       P = I V

we assume that the batteries are not discharged during the experiment

        I = P / V

electrical power equals supplied power

        P = Ps

calulate

        I = 0.479 / 3.00

        I = 0.1597 A

        I = 0.160 A

Answer 2

The ratio of power delivered to the electric potential is equal to the average current flow.

The required magnitude of the average current supplied to the car's motor is 0.064 A.

What is the average current?

The amount of electric charges passing through a specific point in a certain period of time is known as an average current.

Given data -

The mass of the toy car is, m = 0.836 kg.

The combined electric potential of two cells is, V' = 3.00 V.

The energy conversion efficiency is, [tex]\eta =47.1 \%[/tex].

The time interval is, t = 7.15 s.

The final speed of car is, v = 1.81 m/s.

The power produced by the two cell is,

P = W / t

P = (F × d)/t

Here,

F is the force exerted on the toy car.

d is the distance traveled by car in the given time interval.

     

The magnitude of the force is given as,

F = ma

here, a is the magnitude of acceleration.

Now, using the first kinematic equation of motion as,

v = v₀ + a t

As part of rest v₀ = 0

a = v / t

a = 1.81 / 7.15

a = 0.253 m / s²

Therefore the applied force is

F = m a

F = 0.836 × 0.253

F = 0.212 N

To calculate the work, let's find the distance traveled from the second kinematic equation of motion,

d = v₀ t + ½ at²

d = 0+ ½ a t²

d = ½ 0.253 7.15²

d = 6.457 m

Finally, the power developed in this movement by the motor is,

P = (0.212 × 6.457)/7.15

P = 0.19145 W

Now, the expression for the power developed is also given as,

P = V × I

Here,

I is the magnitude of the average current.

Solving as,

I = P / V

I = 0.19145/3.00

I = 0.064 A

Thus, we can conclude that the required magnitude of the average current supplied to the car's motor is 0.064 A.

Learn more about the average current here:

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Related Questions

Batteries are usually identified by their voltage.

Which battery would be able to give 18 joules of energy to 12 coulombs of charge?

Question 7 options:

1.5 Volt battery


216 Volt battery


9 Volt battery


12 Volt battery


6 Volt battery


3 Volt battery

Answers

Answer:

Explanation:

Given parameters:

Electrical energy  = 18J

Quantity of charge Q = 12C

Unknown:

Voltage  = ?

Solution:

The expression of electrical potential energy is given as:

      Electrical potential energy  = [tex]\frac{1}{2}[/tex] c v²

c is the quantity of charge

v is the voltage

           18  =  [tex]\frac{1}{2}[/tex]  x 12 x v²  

           18 = 6v²  

              v² = 3  

               v = 1.7v

a stone of mass 6 kg is released from a height of 30 metre calculate the potential energy​

Answers

Answer:

P.E = 1764 Joules

Explanation:

Given the following data;

Mass = 6kg

Height = 30m

We know that acceleration due to gravity is equal to 9.8m/s²

To find the potential energy;

Potential energy can be defined as an energy possessed by an object or body due to its position.

Mathematically, potential energy is given by the formula;

[tex] P.E = mgh[/tex]

Where,

P.E represents potential energy measured in Joules.

m represents the mass of an object.

g represents acceleration due to gravity measured in meters per seconds square.

h represents the height measured in meters.

Substituting into the equation, we have;

P.E = 6 * 9.8 * 30

P.E = 1764 Joules

3. The game of tetherball involves a ball tied to a rope the other end of which is tied to the top of a pole. Players try to hit the ball around the pole in opposite directions until it is completely wrapped around the pole. What forces make the ball move in a circle around the pole

Answers

Answer: The force that makes the ball move in a circle around the pole is an angular force known as CENTRIPETAL FORCE.

Explanation:

When a stone is attached to a string, just as in the tetherball game, and whirled round at constant speed in a horizontal circle, the stone moves with constant speed but at different directions and acceleration ( as the ball is hit by different players) directed towards the center of the circle due to the tension in the spring that produces a force.

The force that is required to keep the object ( ball) moving in this circular path is called the centripetal force. It is inversely proportional to the radius curvature (r) which is formed by the rope that ties the ball to the pole. Therefore, the force increase as the radius decreases.

Hence,

F= mv²/ r

Where F= centripetal force

m= mass

v= velocity

r= radius of curvature

Other examples of centripetal force includes

--> a car moving in a circular path,

--> the revolution of the planets round the sun,

inertia is a measure of
a) a push or pull on an object
b) the difficulty of changing an object's motion
c) a velocity of an object
d) none of the above

Answers

Answer:

b.. a difficulty of changing an object's motion, that's my ✨ g u e s s ✨

What type of wave has crests and troughs?

Answers

Answer:

tidal wave

Explanation:

Chemistry Sem 2

Points Possible: 20

Name: Caleb Peterson

Date:

1. Several solids, liquids, and gases can be found in your home. List three

examples of each. (9 points) Think about where solids, liquids, and gases might

be found in your refrigerator, bathroom, or basement/garage.

Answers

Answer:

Solids - Bricks , wood , Pottery, Bucket

Liquid - Water, soap, Sanitizers.

Gases - Aerosol in Deodorants, Chlorofluorocarbons in Fire extinguishers , Butane in lighters.

1. Two boxes stacked on top of one another weigh 100 kg total. They apply
a friction force of 250N. You apply a force of 300N in the right direction.
What is the total net force and direction of the box?

Answers

Answer:

150

Explanation:

Consider a 2 m wide and 5 m long slab resting on flat, fixed, earthen bed. The slab is 20 cm thick with uniform properties. You may assume the slab is much longer and wider than it is thick. Write the reduced form of the governing equation for the slab. Clearly identify your coordinate system on a sketch and state your assumptions identifying which terms you are eliminating and why.

Answers

Answer:

Explanation:

The coordinate sketch for the system is shown in the attached file below. Also, in the cartesian coordinate system, since the height is less than the length and width, we did neglect the height. Thus, we eliminate the height and converted it to a two-dimension.

Which is one college class that a student would most likely take to become an oceanographer?
-marine biology
-chemical engineering
-foundations of physics
-human anatomy

Answers

Answer:

marine biology

Explanation:

can i get the crown?

Answer:

Marine Biology

Explanation:

part of an Oceanographers skills is to know marine life therefore marine biology is a subject to take, plus its the only logical answer choice since its part of the marine/oceanic Realizations.

the angular speed of an automobile engine is increased at a constant rate from 1300rev/min to 2000rev/min in 3s (a) what is its angular acceleration in revolutions per minute squared ​

Answers

Answer:

please find attached pdf

Explanation:

A man standing on the Earth can exert the same force with his legs as when he is standing on the moon. We know that the mass of the man is the same on the Earth and the moon. We also know that F=ma is true on both the Earth and the moon. Will the man be able to jump higher on the moon than the Earth? Why or why not?
PLEASE HELPPPP

Answers

Answer:

yes

Explanation:

earth has gravity force that is high than the moon gravity force which is 1/6 of earth gravity

Earth has gravity force that is high than the moon gravity force which is 1/6 of earth gravity.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

The force on the moon is less than earth as gravity is 1/6 on the moon

When man jump than he will jump high on the moon than the earth.

Earth has gravity force that is high than the moon gravity force which is 1/6 of earth gravity.

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a dump truck travels 70mph for 3 hours, then for 20mph for another 2 hours in the same direction. what is the average speed the car traveled?

Answers

Answer:

the average speed of the car is 170 mph.

Explanation:

Given;

initial speed, u = 70 mph

time of motion, t₁ = 3 hours

final speed, v = 20 mph

time of motion, t₂ = 2 hours

The average speed of the car is calculated as;

[tex]v' = \frac{70(3) - 20(2)}{3-2} \\\\v' = 170 \ mph[/tex]

Therefore, the average speed of the car is 170 mph.

The diameters of the main rotor and tail rotor of a single-engine helicopter are 7.53 m and 1.06 m, respectively. The respective rotational speeds are 443 rev/min and 4,120 rev/min. Calculate the speeds of the tips of both rotors. Compare these speeds with the speed of sound, 343 m/s.

Answers

Answer:

Main motor= 174.66 m/s

Tail motor=228.66 m/s

Explanation:

✓Main motor

Diameter of the main motor= 7.53 m

rotational speeds = 443 rev/min

The speed of the trip= rotational speed × radius

Radius of the main rotor= diameter/ 2

= 7.53 /2=3.765 m

The speed of the trip= (443 ×2π ×3.765)

= 10479.69 meter per minutes

We can convert to metre per seconds as

10479.69/ 60

= 174.66 m/s( less than speed of sound)

✓ Tail motor

Diameter of the main motor= 1.06 m

rotational speeds = 4120 rev/min

The speed of the trip= rotational speed × radius

Radius of the main rotor= diameter/ 2

= 1.06/2

= 0.53m

The speed of the trip= (4120 ×2π ×0.53)

= 13719.96 meter per minutes

We can convert to metre per seconds as

13719.96/ 60

= 228.66 m/s( less than speed of sound)

Please I need a quicker question

Answers

Answer:

117.4m/s²

Explanation:

maybe but I just try

An object is experiencing an acceleration of 12 m/s2 while traveling in a circle of radius 5.0 m. What is its velocity?

Answers

Answer:

v = 7.74 m/s

Explanation:

Given that,

The acceleration of the object, a = 12 m/s²

The radius of the circle, r = 5 m

We need to find the velocity of the object. The centripetal acceleration act on the object that is given by :

[tex]a=\dfrac{v^2}{r}\\\\v=\sqrt{ar} \\\\v=\sqrt{12\times 5} \\\\v=7.74\ m/s[/tex]

So, the velocity of the car is 7.74 m/s.

Plz answer this question correctly

Answers

Answer:

changing the direction in which a force is exerted

On the way to the moon, the Apollo astronauts reach a point where the Moon’s gravitational pull is stronger than that of Earth’s.
Find the distance of this point from the
center of the Earth. The masses of the
Earth and the Moon are 5.98 × 1024 kg and
7.36 × 1022 kg, respectively, and the distance
from the Earth to the Moon is 3.84 × 108 m.

Answers

Answer:

3.456 × 10^(8) m

Explanation:

We are given;

Mass of earth; m_e = 5.98 × 10^(24) kg

Mass of moon; m_m = 7.36 × 10^(22) kg

Distance from earth to moon; L = 3.84 × 10^(8) m.

We are told that the Moon’s gravitational pull is stronger than that of Earth’s.

Thus;

F_EA ≤ F_MA

Formula for force due to gravity is;

F = GMm/r²

Applying to this question, we have;

(Gm_e•m_a)/x² ≤ (Gm_m•m_a)/(l - x)²

Where x is his distance from the center of the Earth

Now, G and m_a will cancel out from both sides and we plug on other values to get;

(5.98 × 10^(24))/x² ≤ (7.36 × 10^(22))/(3.84 × 10^(8) - x)²

Taking square root of both sides gives;

2445403852127.4966/x ≤ 271293199325.0107/(3.84 × 10^(8) - x)

Rearranging gives;

2445403852127.4966(3.84 × 10^(8) - x) ≤ 271293199325.0107x

Simplifying this gives;

9.0139(3.84 × 10^(8) - x) ≤ x

(34.613 × 10^(8)) - 9.0139x ≤ x

(34.613 × 10^(8)) ≤ x + 9.0139x

(34.613 × 10^(8)) ≤ 10.0139x

x ≥ (34.613 × 10^(8))/10.0139

x ≥ 3.456 × 10^(8)

Which have the same velocity?

A. A boy walking east at 2 km/h and a man walking east at 4 km/h
B. A car standing still and a truck driving in a circle at 4 km/h
C. A dog walking west at 3 km/h and a cat walking west at 3 km/h
D. A girl walking west at 3 km/h and a boy walking south at 3 km/h

Answers

Answer:

answer is b

Explanation:

What is the kinetic energy of a 30 kg dog that is running at a speed of 8.6 m/s (about 19 mi/h)?

Answers

Answer:

Uhm thags hsed

Explanation:

Dkrr

Based on the model you saw in the study predict what will happen to the interactions between water molecules as the temperature in the system decreases.
Marking brainliest

Answers

Answer:

1 st one

Explanation:

The interactions between water molecules as the temperature in the system decreases b) The interaction between the molecule will become stronger

What is molecular interaction?

Molecular interactions are attractive or repulsive forces between molecules and between non-bonded atoms

When temperature of the system  decreases the average kinetic energy of the molecules decreases and they move slowly , the  molecular motion get decreased , if the molecules are near each other , the slower they go , more will be molecular interactions , the intermolecular forces attract them to each other  .

the correct answer is :

b) The interaction between the molecule will become stronger

learn more about molecular interactions

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What is the weight of an object (on earth) that has a mass of 45 kg?

Answers

Answer:

441 N

Explanation:

weight = mass x gravity

w = m x g.

We know that gravity = 9.8 m/s^2 and mass = 45 kg.

w = 45 kg x 9.8 m/s^2

w = 441 N

So the weight of the object is 441 N (newtons).

Answer:441 N.

Explanation:

The weight of 45 kg at rest on the surface of the Earth is about 45 * 9.8 N = 441 N.

saturn exerts a much greater force on the moon Pan than Pan exerts on saturn. true or false

Answers

Answer: False

Explanation:

because according to universal law of gravitation, every object attracts every other object in the universe.

according to the newton's third law, for every action there is equal and opposite reaction.

So, both the saturn and pan exerts same force on each other

But from the newton's second law we have, F = ma   &   a = F/m

so, from the above equation acceleration produced by pan is high compared to the acceleration produced by saturn.

Therefore, acceleration produced by saturn is lower than the acceleration produced by pan

but force exerted by saturn is equal to the force exerted by pan

So, the answer is false

Hope it helped u,

pls mark as the brainliest

^_^

The statement is false. Saturn does not exert a much greater force on the moon Pan than Pan exerts on Saturn.

What is gravitational force?

Newton's law of gravitation states that each particle having mass in the universe attracts each other particle with a force known as the gravitational force.

Gravitational force is proportional to the product of the masses of the two bodies and inversely proportional to the square of their distance.

According to Newton's third law, there is an equal and opposite response to every action. As a result, both Saturn and Pan exert the same force on one another.

But, according to Newton's second law,

F = ma

a = F/m.

As a result of the preceding equation, the acceleration generated by the pan is greater than that caused by Saturn. As a result, the acceleration generated by Saturn is less than that produced by Pan.

So that the power exerted by Saturn is equivalent to that of Pan.

Hence the statement is false.

To learn more about the gravitational force refer to the link;

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Galileo is considered the father of modern science. Do you agree with this description? Give reasons for your answer.

Answers

Answer:

Galileo Galilei pioneered the experimental scientific method and was the first to use a refracting telescope to make important astronomical discoveries

Explanation:

Yes I agree with this. He made significant scientific discoveries that changed the way of life.

how does different color show exist

Answers

Answer:Light is made up of wavelengths of light, and each wavelength is a particular colour. The colour we see is a result of which wavelengths are reflected back to our eyes. The visible spectrum showing the wavelengths of each of the component colours. The spectrum ranges from dark red at 700 nm to violet at 400 nm.  

Explanation:

hope it helps

Answer:When light hits an object, the object reflects some of that light and absorbs the rest of it. Some objects reflect more of a certain wavelength of light than others. That's why you see a certain colour. For example, a lemon reflects mainly yellow light.

Explanation:

(1 point) A projectile is fired from ground level with an initial speed of 600 m/sec and an angle of elevation of 30 degrees. Use that the acceleration due to gravity is 9.8 m/sec2. (a) The range of the projectile is meters. (b) The maximum height of the projectile is meters. (c) The speed with which the projectile hits the ground is m/sec.

Answers

Answer:

(a) The range of the projectile is 31,813.18 m

(b) The maximum height of the projectile is 4,591.84 m

(c) The speed with which the projectile hits the ground is 670.82 m/s.

Explanation:

Given;

initial speed of the projectile, u = 600 m/s

angle of projection, θ = 30⁰

acceleration due to gravity, g = 9.8 m/s²

(a) The range of the projectile in meters;

[tex]R = \frac{u^2sin \ 2\theta}{g} \\\\R = \frac{600^2 sin(2\times 30^0)}{9.8} \\\\R = \frac{600^2 sin (60^0)}{9.8} \\\\R = 31,813.18 \ m[/tex]

(b) The maximum height of the projectile in meters;

[tex]H = \frac{u^2 sin^2\theta}{2g} \\\\H = \frac{600^2 (sin \ 30)^2}{2\times 9.8} \\\\H = \frac{600^2 (0.5)^2}{19.6} \\\\H = 4,591.84 \ m[/tex]

(c) The speed with which the projectile hits the ground is;

[tex]v^2 = u^2 + 2gh\\\\v^2 = 600^2 + (2 \times 9.8)(4,591.84)\\\\v^2 = 360,000 + 90,000.064\\\\v = \sqrt{450,000.064} \\\\v = 670.82 \ m/s[/tex]

If you double the compression of a spring it’s elastic potential energy will do what

Answers

Answer:

When you stretch or compress a spring you work against the restoring force of the spring. This work is stored as elastic potential energy in the spring. The more you stretch or compress the spring, the more work is done by you and more energy is stored.

This is also evident from the expression of the potential energy ( U ) -

U=(1/2)kx2

Where x is the displacement from the unstretched position of the spring. Greater is the x. more is the energy stored.


Minimum interplanar spacing required for Bragg's diffraction is:​

Answers

Answer:

Explanation:

\frac{\lambda }{2} is the minimum interplanar spacing which is required for Bragg's diffraction to occur.

during what part of their drive are the not moving?

Answers

C answer is c math ez
The correct answer is c

1) When charges pass through a resistor, they give up kinetic energy to the environment in the form of heat. Consider a circuit in which the wires on either side of a resistor are exactly the same diameter. The average drift speed for charges entering the circuit is venter. The drift speed for charge exiting the resistor is vexit. Is vexit greater than, less than, or equal to venter

Answers

[tex]\frac{1}{2}[/tex]Answer:

    [tex]v_{exit } < v_{enter}[/tex]

Explanation:

To propose the solution of this problem we must use the relationship between work and energy

         W = ΔK

the change in kinetic energy is

         ΔK = K_f -K₀

         ΔK = ½ m v_f² - ½ m v₀² = ½ m (v_f² - v₀²)

in this case

         ΔK =  [tex]\frac{1}{2} m ( v_{exit}^2 - v_{enter}^2 )[/tex]

we can find work with the first law of thermodynamics

         [tex]\Delta E_{int}[/tex] = Q + W

where \Delta E_{int} is the internal energy of the body, usually measured in the form of an increase in the temperature of the system

          W = \Delta E_{int} - Q

if we consider that the internal energy does not change

         W = -Q

we substitute everything in the first equation

        -Q =   [tex]\frac{1}{2} m ( v_{exit}^2 - v_{enter}^2 )[/tex]

Because they are squared, the variables are positive, therefore, for the equation to be fulfilled, the exit velocity must be less than the entrance velocity.

            [tex]v_{exit } < v_{enter}[/tex]

Someone please please please help me with this. I’ll give u whatever rating u want

Answers

The vertical forces add up to zero.

The net force on the object is 60N to the right.

F = m • a

60N right = (10kg) • (a)

a = (60N right) / (10kg)

a = 6 m/s^2 to the right

Multi-engine Commercial would be nice.

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