A man is driving his 1100 kg car at 36 km/h on a straight freeway. After accelerating for 30 seconds, the car
has a speed of 108 km/h. How much work did the engine do during the 30 seconds?

Answers

Answer 1

Answer:

W = 439998 J = 439.99 KJ

Explanation:

First, we will calculate the acceleration of the car by using the first equation of motion:

[tex]v_f = v_i + at\\\\a = \frac{v_f-v_i}{t}[/tex]

where,

a = acceleration = ?

vf = final speed = [tex]108(\frac{km}{h})(\frac{1000\ m}{1\ km})(\frac{1\ h}{3600\ s})[/tex] = 30 m/s

vi = initial speed = [tex]36(\frac{km}{h})(\frac{1000\ m}{1\ km})(\frac{1\ h}{3600\ s})[/tex] = 10 m/s

t = time = 30 s

Therefore,

[tex]a = \frac{30\ m/s - 10\ m/s}{30\ s}[/tex]

a = 0.67 m/s²

Now, we will calculate the force applied by the engine:

F = ma

where,

F = force = ?

m = mass = 1100 kg

Therefore,

F = (1100 kg)(0.67 m/s²)

F = 733.3 N

Now, we will calculate the distance covered by the car by using the second equation of motion:

[tex]s = v_it+\frac{1}{2}at^2\\\\s = (10\ m/s)(30\ s)+\frac{1}{2} (0.67\ m/s^2)(30\ s)^2[/tex]

s = 600 m

Now, the work done (W) by engine can be calculated as follows:

W = Fs

W = (733.3 N)(600 m)

W = 439998 J = 439.99 KJ


Related Questions

Describe how an oscilloscope should be used to measure the frequency of the sound wave from the sonometer

Answers

Answer:

            T = reading (cm) time base (s / cm)

            f = 1 / T

Explanation:

An oscilloscope is a piece of equipment that allows you to visualize and measure a wave that reaches you, in the case of having a sonometer this transforms the sound wave into an electrical signal to be introduced through one of the voltage channels of the equipment, on the screen we will see the oscillating alternating signal, if it is fixed we can make the reading, if it is moving the time base and the trigger must be adjusted to stop it.

In the oscilloscope we can read the period of the signal, this is the time it takes for the signal to repeat itself with this value, we can calculate the frequency with the formula, for the reading of the period the distance is measured on the labeled screen and multiplied by the time base

         

            T = reading (cm) time base (s / cm)

            f = 1 / T

The equation below is used to calculate the mechanical advantage of an ideal wheel and axle.


mechanical advantage =
wheel radius
__________
axle radius


A student compares two wheel-and-axle simple machines. Machine 1 has a wheel radius of 50 centimeters, and an axle radius of 10 centimeters. Machine 2 has a wheel radius of 100 centimeters, and an axle radius of 10 centimeters. What is true of these simple machines’ mechanical advantage?
A.
Machine 1’s mechanical advantage is greater, which means that this machine can do more work with less force than Machine 2.

B.
Machine 1’s mechanical advantage is greater, which means that this machine can move faster than Machine 2.

C.
Machine 2’s mechanical advantage is greater, which means that this machine can do more work with less force than Machine 1.

D.
Machine 2’s mechanical advantage is greater, which means that this machine can move faster than Machine 1.

Answers

Answer:

b

Explanation:

Machine 2’s mechanical advantage is greater, which means that this machine can do more work with less force than Machine 1.

Mechanical advantage

The term mechanical advantage is the ratio of the radius of wheel to the radius of the axle for a wheel and axle system.

The true statement about the two machines that were compared; 1 and 2 is that, machine 2’s mechanical advantage is greater, which means that this machine can do more work with less force than Machine 1.

Learn more about mechanical advantage:https://brainly.com/question/16617083

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Question 1 (1 point)
All solid objects will deform when enough force is applied.
O True
False

Answers

Answer:

Solid objects will deform when adequate loads are applied to them; if the material is elastic, the object will return to its initial shape and size after removal. This is in contrast to plasticity, in which the object fails to do so and instead remains in its deformed state.

Explanation:

Answer:

It is false

Explanation:

because when it like a rolling ball it can deform no matter what unlesss you throw it at the ground really hard then it breaks but a soft or sometimes metal yeah it can deform but not all things solid deform.

differences between weightlessness in space and weightlessness in earth​

Answers

Answer:

it depends on a person's own weight

Answer:

The gravity is roughly the same. The inverse square law applies to gravity and that means that being 60 miles above Earth is about the same as being on Earth. The thing is, they are going really fast in an orbit and thus falling around the Earth. The weightlessness comes from a sort of cancellation of gravity pulling them down and their going perpendicular to that force. The forces are cancelling and making them relatively “weightless”. It’s not really weightlessness but just an equilibrium reached between the two accelerations of gravity and their motion against the pull of the Earth.

Explanation:

Why is diffraction used in soil profiles?

Answers

Answer:X-ray diffraction (XRD) is the technique most heavily relied on in soil mineralogical analysis. X-ray diffraction is a technique that provides detailed information about the atomic structure of crystalline substances. It is a powerful tool in the identification of minerals in rocks and soils.

Explanation:

XRD is used to identify the minerals composing clay-rich, hydrothermally altered rocks that occur on several Cascade volcanoes. Such rocks are believed to play an important role in the generation of large landslides and mudflows. XRD is used to analyze saline minerals, including borates.

Which of the following is TRUE about thermal equilibrium?

Answers

Answer:

option one

Explanation:

equilibrium is used to describe the point in which something meets in this case the temperature of an object

Two Brothers are playing soccer on the beach. One brother kicks the ball really hard and the ball lands in the water, about 50 meters from the beach. They wonder if the ball will float back to the beach.

Answers

Answer:

Due to wind and waves of water.

Explanation:

They wonder that the ball will float back to the beach because of the wind and the waves of the water. The wind blows towards the beach which moves the water in the form of waves towards the beach so if the ball lands in the water, it will floats on the surface of water and move towards the beach with the help of wind and waves of the sea. The ball floats on the water due to its lighter weight and lower density as compared to water.

Question 4
The diagram represents the motion of a sound wave. The distance between points A and C is 9 meters (m), and it initially takes the wave 3 seconds (s) to travel.
What will be the wavelength of the sound wave if the velocity of the wave remains constant but the pitch is tripled?

A 3 meters
B 6 meters
с 9 meters
D 18 meters

Answers

Answer:A

Explanation:

The wavelength of the sound wave will be 3 meters.

What is wavelength?

The wavelength of any wave is defined as the distance between two max adjacent amplitudes, or the distance between two successive troughs or crest.

Now it is given that:

Distance =9 meters

time = 3 seconds

pitch=1/3 seconds

The velocity of  the sound will be

[tex]V=\dfrac{d}{t}=\dfrac{9}{3}=3\ \frac{m}{s}[/tex]

Now from the question the wavelength of the sound wave if the velocity of the wave remains constant but the pitch is tripled

so  [tex]f=3\times \dfrac{1}{3}=1 herts[/tex]

Now the velocity of the sound will be

[tex]v=f\times \lambda[/tex]

[tex]\lambda=\dfrac{v}{f}=\dfrac{3}{1}=3\ m[/tex]

Thus the wavelength of the sound wave will be 3 meters.

To know more about wavelength, follow

https://brainly.com/question/10728818

how to calculate light year, minute and second?

Answers

Answer:

A light-year is the distance light travels in one year. How far is that? Multiply the number of seconds in one year by the number of miles or kilometers that light travels in one second, and there you have it: one light-year. It's about 5.88 trillion miles (9.5 trillion km).

Explanation:

Below is a single of DNA, What is the complementary base pair for RNA?
AGC, CGT, ATA, GAT

Answers

It’s GAT because I just learned about this

Which of the following refers to a force of resistance that acts on an object
when the object moves against other matter?
O A. Balanced force
B. Inertia
C. Friction
D. Contact force

Answers

The answer is D and by the way hi

Which activities will help improve your flexibility? A. Yoga B. Dance C. Pilates D. All of the above

Answers

Answer: I believe that the answer is D.

Explanation:

Hope this helps and have a great day! :)

Answer:

D) all of the above

Explanation:

Two vehicles A and B accelerate uniformly from rest.
Vehicle A attains a maximum velocity of 30ms - in los
while B attains a maximum velocil) ol 40ms in the same
time. Both vehicles maintain these velocities for 6s belore
they are decelerated to rest in 6s and 4s respectively
Sketch on the same axes, velocity time graphs
for the motion of the vehicles
Calculate the velocity of each vehicle 18s aftur
the start. (VA
= 20ms -land vs
and vs = 20ms-')
How far will the two vehicles be from one
another during the moment in (ii) above?
(SA = 380m and SB
= 500m: SAB
120m). plz help​

Answers

Answer:

(i) Please find attached the required velocity time graphs plotted with MS Excel

(ii) The velocity of vehicle A at the 18th second = 20 m/s

The velocity of vehicle B at the 18th second = 0 m/s

(iii) The distance between the two vehicles at the moment in (ii) above is 60 meters

Explanation:

The given parameters of the motion of vehicles A and B are;

The acceleration of vehicles A and B = Uniform acceleration starting from rest

The maximum velocity attained by vehicle A = 30 m/s

The time it takes vehicle A to attain maximum velocity = 10 s

The maximum velocity attained by vehicle B = 30 m/s

The time it takes vehicle B to attain maximum velocity = The time it takes vehicle A to attain maximum velocity = 10 s

The time duration vehicle A maintains its maximum velocity = 6 s

The time duration vehicle B maintains its maximum velocity = 4 s

(i) From the question, we get the following table;

[tex]\begin{array}{ccc}Time &V_A&V_B\\0&0&0\\10&30&40\\14&30&40\\16&30&20\\18&20&0\\22&0&\end{array}[/tex]

From the above table the velocity time graphs of vehicles A and B is created with MS Excel and can included here

(ii) The velocity of vehicle A at the start = 0 m/s

After accelerating for 10 seconds, the velocity of vehicle A = The maximum velocity of vehicle A = 30 m/s

The maximum velocity is maintained for 6 seconds which gives;

At 10 s + 6 s = 16 s, the velocity of vehicle A = 30 m/s

The time it takes vehicle A to decelerate to rest = 6 s

The deceleration of vehicle A, [tex]a_A[/tex] = (30 m/s - 0 m/s)/(6 s) = 5 m/s²

Therefore, we get;

v = u - [tex]a_A[/tex]·t

At the 18th second, the deceleration time, t = 18 s - 16 s = 2 s

u = 30 m/s

∴ v₁₈ = 30 - 5 × 2 = 20

The velocity of vehicle A at the 18th second, [tex]V_{18A}[/tex] = 20 m/s

For vehicle B, we have;

At the 14th second, the velocity of vehicle B = 40 m/s

Vehicle B decelerates to rest in, t = 4 s

The deceleration of vehicle B, [tex]a_B[/tex] = (40 m/s - 0 m/s)/(4 s) = 10 m/s²

For vehicle B, at the 18th second, t = 18 s - 14 s = 4 s

∴ [tex]v_{18B}[/tex] = 40 m/s - 10 m/s² × 4 s = 0 m/s

The velocity of the vehicle B at 18th second, [tex]v_{18B}[/tex] = 0 m/s

(iii) The distance covered by vehicle A up to the 18th second is given by the area under the velocity-time graph as follows;

The area triangle A₁ = (1/2) × 10 × 30 = 150

Area of rectangle, A₂ = 6 × 30 = 180

Area of trapezoid, A₃ = (1/2) × (30 + 20) × 2 = 50

The distance covered in the 18th second by vehicle [tex]S_A[/tex] = A₁ + A₂ + A₃

∴ [tex]S_A[/tex] = 150 + 180 + 50 = 380

The distance covered in the 18th second by vehicle [tex]S_A[/tex] = 380 m

The distance covered by the vehicle B in the 18th second is given by the area under the velocity time graph of vehicle B as follows;

Area of trapezoid, A₅ = (1/2) × (18 + 4) × 40 = 440

The distance covered by the trapezoid, [tex]S_B[/tex] = 440 m

The distance of the two vehicles apart at the 18t second, [tex]S_{AB}[/tex] = [tex]S_B[/tex] - [tex]S_A[/tex]

∴ [tex]S_{AB}[/tex] = 440 m - 380 m = 60 m

The distance of the two vehicles from one another at the 18th second, [tex]S_{AB}[/tex] = 60 m.

please help me asap thankss

EXPLAIN WHY A POLYTHENE ROD GAINS A NEGATIVE CHARGE WHEN IT IS RUBBED WITH A CLOTH

Answers

Answer:

When a polythene rod is rubbed with a duster, the friction causes electrons to gain energy. Electrons gain enough energy to leave the atom and 'rub off' onto the polythene rod. The polythene rod has gained electrons, giving it a negative charge.

Explanation:

Hope it helps

Se dea caer una pelota de basquetbol desde una altura de 90 metros.Calcular: El tiempo en que demorara en caer y a velcidad con la que llega al suelo

Answers

Answer:

1. t = 4.24 s

2. [tex]v_{f} = 42.43 m/s [/tex]

Explanation:

Podemos encontrar el tiempo de caída con la siguiente ecuación:

[tex] v_{f} = v_{0} + gt [/tex]   (1)

En donde:

[tex] v_{f}[/tex]: es la velocidad final de la pelota  

[tex] v_{0}[/tex]: es la velocidad inicial = 0 (se deja caer)

g: es la aceleración debida a la gravedad = 10 m/s²

Debemos hallar primero la velocidad final. Podemos usar la ecuación:

[tex] v_{f}^{2} = v_{0}^{2} + 2gh [/tex]  (2)

En donde:

h: es la altura = 90 m

[tex] v_{f} = \sqrt{2gh} = \sqrt{2*10 m/s^{2}*90 m} = 42.43 m/s [/tex]

Entonces, la velocidad con la que la pelota llega al suelo es 42.43 m/s.

Ahora podemos encontar el tiempo que tarda en caer la pelota resolviendo la ecuación (1) para "t":

[tex] t = \frac{v_{f}}{g} = \frac{42.43 m/s}{10 m/s^{2}} = 4.24 s [/tex]

Por lo tanto, la pelota tarda 4.24 segundos en caer.

Espero que te sea de utilidad!

Please please help me :)

Answers

Answer:

Explanation:

2) From F=ma

Force =15×40=600N or kgm/s2

3)From the same equation making acceleration the subject of the formula will give

a=f÷m

=24÷4=6m/s2

4)m=f÷a

=45÷15=3kg

What is the wavelength?

Answers

Wavelength can be defined as the distance between two successive crests or troughs of a wave. It is measured in the direction of the wave. ... This means the longer the wavelength, lower the frequency. In the same manner, shorter the wavelength, higher will be the frequency.

if the voltage across a 12 ohm resistor is 4.0 volts. the current through the resistor is?

Answers

Answer:

Current = 0.33 Amperes

Explanation:

Given the following data:

Resistance = 12 ohm

Voltage = 4 v

To find the current;

Ohm's law states that at constant temperature, the current flowing in an electrical circuit is directly proportional to the voltage applied across the two points and inversely proportional to the resistance in the electrical circuit.

Mathematically, Ohm's law is given by the formula;

Voltage = current * resistance

Substituting into the formula, we have;

4 = current * 12

Current = 4/12

Current = 0.33 Amperes

At the end of 3N force acts on the object during time interval of 1.5seconds with force acting towards right. A constant force of 4N to left is applied for 3seconds. What is the velocity at the end of the 3seconds ?

Answers

Answer:

v_f = -7.5 m / s

Explanation:

Let's analyze this exercise a little, two forces that act on a body for different time intervals are indicated, each force creates an impulse and since this is a vector quantity we must add in the form of vectors. The net momentum is

we assume that the direction to the right is positive

             I = I₁ + I₂

             I = F₁ Δt₁ - F₂ Δt₂

             I = 3  1.5 - 4  3

             I = -7.5   N s

now let's use the relationship between momentum and momentum, suppose the object starts from rest (vo = 0)

             I = Δp

             I = m (v_f - v₀)

             

             v_f = I / m

             

              v_f = -7.5 / m

to finish the calculation we must assume a mass m = 1 kg

              v_f = -7.5 m / s

the negative sign in the body is moving to the left

Does a battery produce electric currents?

Answers

Answer:

A battery is a device that stores chemical energy and converts it to electrical energy. The chemical reactions in a battery involve the flow of electrons from one material (electrode) to another, through an external circuit. The flow of electrons provides an electric current that can be used to do work.

The half-life of iodine-131 is 8 days. If a sample originally contains 0.96 g of the isotope, how much will remain after 24 days?​

Answers

Answer: you ever get the awnser?

Explanation:

Answer: 0.12 g

Explanation: I got it right on the quiz.

NEED HELP The main difference between kinetic energy and potential energy is thatSingle choice.
(2 Points)

kinetic energy involves position, and potential energy involves motion.

kinetic energy involves motion, and potential energy involves position.

although both energies involve motion, only kinetic energy involves position.

although both energies involve position, only potential energy involves motion.

Answers

Answer:

kinetic energy involves motion, and potential energy involves position.

although both energies involve position, only potential energy involves motion.

hope it is helpful to you ☺️☺️✌️

Kinetic energy is motions and potential energy is stored up energy

Starting circuit One battery. 2 light bulbs in parallel; switch What is the voltage across the battery? What is the voltage across light bulb 1? What is the voltage across light bulb 2?​

Answers

Answer:

The voltage across light bulb 1 and light bulb 2 is the the same i.e V

Explanation:

In a parallel circuit, the Voltage is same across all the components of the circuit and the current flowing through each component is added to get the total current across the circuit.

Let us say, the voltage across the circuit is V. The voltage across light bulb 1 and light bulb 2 is the the same i.e V

sheet of paper and a ball having same mass are dropped from the same height and obviously paper balls faster than a sheet of paper. what conclusion can be drawn from this acticity?​

Answers

Answer:

In free fall, all items will fall at the same time. You were told that they have the same mass hence g×t which is constant.

a light ray reflects with an angle of 65 degrees what is the angle of refraction?
A. 65 degrees
B. 90 degrees
C. 32.5 degrees
D. 25 degrees
brainliest if correct

Answers

Answer:

A

Explanation:

A because the reflection and refraction should always be the same angle

Si un conductor tiene una longitud de 4 metros y una sección de 2 mm^2 calcule su resistencia, si su coeficiente de resistividad es de 0.10(Ωmm^2/m)

Answers

Answer:

R = 0.2 Ω

Explanation:

Para aplicar el concepto de resistencia de un conductor electrico, consideramos la siguiente formula:

R = ρ . l / S

Donde l es la longitud del conductor

S la superficie

y ρ el coeficiente de resistividad

Primero necestiamos hacer ciertas conversiones:

ρ = 0.10 ×10⁻⁶ (Ω . m²/m)

S = 2 mm² → 2 ×10⁻⁶ m²

R = 0.10 ×10⁻⁶ (Ω . m²/m) . 4m / 2 ×10⁻⁶ m²

Dentro de la formula simplificamos las unidades, los metros de ρ con la longitud y ambos m². De esa forma la unidad de R queda en Ω (ohmios).

Resolvemos:

R = 0.10 ×10⁻⁶ Ω . 4 / 2 ×10⁻⁶

R = 0.2 Ω

which feature is used to classify galaxies
age
color
shape
size

Answers

Answer:Shape

I took the quiz

Answer:shape

Explanation:

I took the quiz

What is role of force on the speed of moving object? ​

Answers

Explanation:

this is the ans hope it works

Answer:

Forces make things speed up (or accelerate). When a force pushes or pulls the object, the object will move in the direction of the force. The bigger the force, and the lighter the object, the greater the acceleration.

Explanation:

The action from a force can cause an object to move or speed up (accelerate), to slow down (decelerate), to stop, or to change direction. Since any change in velocity is considered acceleration, it can be said that a force on an object results in the acceleration of an object.

A simple mathematical relationship exists between the mass of an object (m), the net force on the object (f) and its acceleration (a). The acceleration of an object is directly proportional to the net force and indirectly proportional to the object’s mass (a = f/m).

How come we can see orange? In simple words.

Answers

Answer:

When sunlight shines through an orange solution, the violet, blue and green wavelengths are absorbed. The other colors pass through.

Please select the word from the list that best fits the definition

Does not easily transfer electricity
conductor
insulator
circuit
current

Answers

Answer:

conductor

Does not easily transfer electricity

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