A 400 hp engine in a 1,600 kg car applies maximum force for 2 seconds to accelerate the car onto the
interstate. If the car moves at 8 m/s before accelerating, what is its speed after the 2 seconds of acceleration?

Answers

Answer 1

Answer:

I will assume that “maximum force” implies the constant application of power  P  = 400 hp (international) to accelerating the vehicle. The force will therefore vary with speed as the vehicle accelerates. I will also assume that all engine energy goes into accelerating the vehicle, rather than rotating elements like its wheels.

In this case the 400 hp (equivalent to 298,280 watts) is applied for time  t  = 2 seconds. Therefore the kinetic energy of the vehicle is increased by:

ΔKE=Pt=(298,280)(2)=596,560  joules.

The initial kinetic energy is:

KEinitial=12mv2

=(0.5)(1600)(82)=51,200  joules.

Therefore final kinetic energy is:

KEfinal=KEinitial+ΔKE

=51,200+596,560

=647,760  joules

Therefore final vehicle velocity can be found:

KEfinal=12mv2

v=2KEfinalm−−−−−−−−√

=(2)(647,760)1600−−−−−−−−−−−√

= 28.455 m/s

Explanation:


Related Questions

The rebounder in basketball has a vertical leap (that is, the vertical movement of a fixed point on their body) of 106 cm .

Answers

Answer:

[tex]u = 4.56m/s[/tex]

[tex]T = 0.94s[/tex]

Explanation:

See comment for complete question

Given

[tex]h = 106cm[/tex] --- Height

Solving (a): The initial speed

To do this, we make use of the third equation of motion

[tex]v^2=u^2+2ah[/tex]

In this case:

[tex]v = 0m/s[/tex] --- final velocity at the maximum height

[tex]a = -g = -9.8m/s^2[/tex]

[tex]h = 106cm[/tex]

Convert height to metres

[tex]h = 1.06m[/tex]

Substitute these values in [tex]v^2=u^2+2ah[/tex]

[tex]0^2 = u^2 +2 *(-9.8) * 1.06[/tex]

[tex]0^2 = u^2 -20.776[/tex]

Collect Like Terms

[tex]u^2 =20.776[/tex]

Take the positive square root of both sides

[tex]u =\sqrt{20.776[/tex]

[tex]u = 4.55806976691[/tex]

[tex]u = 4.56m/s[/tex] --- approximated

Hence, the initial velocity is 4.56m/s

Solving (b): Time spent in the air.

This will be solved using the first equation of motion.

[tex]v = u + at[/tex]

Where:

[tex]v = 0m/s[/tex] --- final velocity at the maximum height

[tex]a = -g = -9.8m/s^2[/tex]

[tex]u = 4.56m/s[/tex]

So, we have:

[tex]0 = 4.56 - 9.8t[/tex]

Collect Like Terms

[tex]9.8t = 4.56[/tex]

Make t the subject

[tex]t = \frac{4.56}{9.8}[/tex]

[tex]t = 0.46530612244[/tex]

[tex]t = 0.47s[/tex] --- approximated

The above is the time it reaches the maximum height.

The time it stays in the air is:

[tex]T = 2t[/tex]

This gives:

[tex]T = 2*0.47s[/tex]

[tex]T = 0.94s[/tex]

Sodium and phosphorus combine to form Na3P. What is the name of this compound? phosphorus sodiate phosphorus sodide sodium phosphate sodium phosphide

Answers

Answer:

Sodium phosphide

Explanation:

Answer:

sodium phosphide

Explanation:

i just took the test. Good luck!! Have a great day!!

what are food sorces of iron​

Answers

Answer:

liver (but avoid this during pregnancy)

red meat.

beans, such as red kidney beans, edamame beans and chickpeas.

nuts.

dried fruit – such as dried apricots.

fortified breakfast cereals.

soy bean flour.

Explanation:

what is the magnitude of velocity for a 1500 kg car possessing 4500 kgm/s of momentum?

Answers

It would have to be 3,75m/s

when you do work on an object you transfer,

Answers

where you supposed to finish it?
what? this doesn’t make sense

Whats is the resistance of a bulb with a current of 60a in a circuit with a 12v battery

Answers

Answer:

60a in a circuit with a 12v battery

Explanation:

60a in a circuit with a 12v battery

What is the net force on a 116 kg woman free falling at 97 m/s who has reached terminal velocity.

Answers

It’s 545722 J , i think

fill in the blanks (about force)
depends on _____ and _____

Answers

Depends on who and where I’m just answering

. Work done by a force depends upon force applied and displacement produced.

You drop a rock down a well that is 31 m deep. How long does it take the rock
to hit the bottom of the well?
A. 1.9 s
B. 2.7 s
C. 6.3 s
D. 2.5 s

Answers

It’s (A) I’m not really sure

During the course of a trajectory, is the vertical component of the velocity a constant or a changing value? ___________________ If it is a changing value, then describe its changes (increasing, decreasing, or ...)

Answers

Answer:

1) Changing value

2) The velocity is decreasing for upward motion and increasing for downward motion due to gravitational force

Explanation:

1) A trajectory is the motion of an object which is being acted upon by specified forces. The flight path of an object in projectile motion is its trajectory

During the course of a trajectory, the vertical component of the velocity, [tex]v_y[/tex], is a changing value

2) The vertical component of the velocity first decreases, during the upward motion, according to the following equation;

[tex]v_y[/tex] = [tex]u_y[/tex] - g·t

Where;

[tex]v_y[/tex] = The vertical component of the velocity after a given time, t

[tex]u_y[/tex] = The initial vertical velocity

t = The time of motion of the trajectory

g = The acceleration due to gravity ≈ 9.8 m/s²

When the vertical velocity of the object decreases to zero, which is the point at which the object reaches the maximum height of its motion, the direction of the vertical motion of the object reverses, and object begins to accelerate and increase its velocity downwards according to the following equation;

[tex]v_y[/tex] = [tex]u_y[/tex] + g·t

Therefore, the velocity of the object is decreasing on its way up, and then increasing on its way down.

The energy the Sun gives off is caused by nuclear reactions in its core. The extreme pressure from the weight of the gases that make up the Sun raises the temperature of the core enough for the nuclear reactions to take place. Which law best describes this behavior of gases in the Sun?

Answers

Answer:

The law which describes the behavior of gases in the Sun is Gay-Lussac's Law

Explanation:

The states that the extremely high pressure of the gases in the Sun produces extremely high temperature;

Therefore, the relationship between the pressure, 'P', of the gas and the temperature, 'T', of the gas is a direct relationship, which can be expressed mathematically as follows;

P ∝ T

The law which best describes the behavior of gases in the Sun is Gay-Lussac's Law, which states that the pressure of a given volume of gas varies directly as the absolute temperature of the gas, as follows;

P = K·T

∴ P/T = K (Constant)

[tex]\therefore \dfrac{P_1}{T_1} = \dfrac{P_2}{T_2}[/tex]

What is the mass, in grams, of 2.00 moles of H2O?

Answers

Answer:

36g

Explanation:

Given parameters:

Number of moles of H₂O = 2moles

Unknown:

Mass of  H₂O = ?

Solution:

To solve this problem, use the expression below:

   Mass of  H₂O = number of moles x molar mass

Molar mass of  H₂O = 2(1) + 16  = 18g/mol

  Mass of  H₂O = 2 x 18  = 36g

The net force acting on this object is 200N to the left. What is the force of friction and air resistance combined if the thrust force is 500N?

Answers

Answer:

Explanation:

Force of friction and air resistance  acts against the external force . Let it be f .

net force = external force - frictional force and air resistance

Putting the given values

200 = 500 - f

f = 500 - 200 = 300 N .

Hence force of friction = 300 N .

Which circuit element controls the flow of current?

Answers

Answer:

REGULATOR

Explanation:

Calculate the BMI for a person who is 5'1" and weighs 172 pounds before you calculate the BMI you must convert the height into meters and the weight into kg you can use the internet to convert them
The answer for this are
32.9
.03
184.86
It’s PE

Answers

Answer:

It is 32.9

Explanation:

PLEASE PLEASE
HELP!!!!!!!!

Answers

Answer:

b 8W

Explanation:

i dont know u find out

Answer:

B. 8 I believe that this is the answer

A motorist is driving at a constant velocity of 28.0 m/s when he decides to pass a car is in front of him. He accelerates at a rate 2.50 m/s2 for 3.00 seconds while passing the car. What is his velocity at the end of the 3.00 seconds?

Answers

Answer:

Final velocity, V = 35.5m/s

Explanation:

Given the following data;

Initial velocity = 28m/s

Acceleration = 2.5m/s²

Time = 3 seconds

To find the final velocity, we would use the first equation of motion

V = U + at

Where;

V is the final velocity measured in m/s.

U is the initial velocity measured in m/s.

a is the acceleration measured in m/s².

t is the time measured in seconds.

Substituting into the equation, we have;

V = 28 + 2.5*3

V = 28 + 7.5

Final velocity, V = 35.5m/s

An object accelerates at 8 m/s^2 when a force of 40 Newtons is
applied to it. What is the mass of the object? (Use formula: m=Fla)

Answers

Answer:

5 kg

Explanation:

Acceleration = 8 m/s^2

Force = 40 N

Force = mass * acceleration

mass = force / acceleration

mass = 40 / 8

mass = 5 kg

True or False? Convection in the inner core causes the solid layers like the lithosphere to move and cause earthquakes

Answers

Answer:

True

Explanation:

Hope it help

Mark me as brainliest

Answer:

True

Explanation:

!mark me as brainliest

12. In which of the positions shown in the picture, will Joshua have both potential and kinetic energy?​

Answers

Answer:

Answer: D. Only R

Explanation:

The Principle Of Conservation Of Mechanical Energy

In the absence of friction, the total mechanical energy is conserved. That means that

Em=U+K is constant, being U the potential energy and K the kinetic energy.

At the top of the path (point Q), Joshua is at rest but his height is at a maximum. Thus his kinetic energy is zero.

At point P, Joshua is at the minimum level (potential energy zero) and his speed is at a maximum.

At point R, Joshua has some height and some speed which means he has both types of energy.

Answer: D. Only R

HELP NEEDED ASAP GIVING BRAINLIEST!!

View the video clip below and answer the question.

The video clip above illustrates the process of __________

Answers

Exploding planet or astroifd

If the half-life of tritium (hydrogen-3) is 12.3 years, how much of
a 10 g sample of tritium is present after 250.0 years?

Answers

Answer:

0.0000076 grams

Explanation:

We're given the half life of Tritium to be 12.3 years. In order to find out the amount of substabce remaining:

Let's first find how many 'half lives' are in 250 years.

[tex]n = \frac{250}{12.3} = 20.325[/tex]

Now what is half life? It means the time taken for a given quantity of an element to lose half it's mass.

So in 12.3 years we can find that The amount of 250 g of Tritium will be 250/2 = 125 g. In 24.6 years we'll have 125/2 = 62.5 g

So now we can devise a formula:

[tex]m = \frac{original \: amount}{ {2}^{n} } [/tex]

Where m is the remaining amount and n is th number of half lives in the time given.

Using this formula we can calculate:

[tex]m = \frac{10}{ {2}^{20.325} } [/tex]

Doing this calculation we get:

[tex]m = 0.0000076 \: g[/tex]

As we can see a very small value remains.

loop od death cause and effect​

Answers

Answer:true

Explanation:

what is the amount of time for one cycle to to occur

Answers

[tex] \\ [/tex]365 DAYS

Period, being a time, is measured in units of time such as seconds, hours, days or years. The period of orbit for the Earth around the Sun is approximately 365 days; it takes 365 days for the Earth to complete a cycle

[tex] \\ [/tex]

Hope It Helps!

A stone is thrown upwards from the edge of a cliff with a speed of 5.0 ms. It hits the
ground 2.0 s later. What is the height of the cliff?

If you can provide some explanation I will greatly appreciate it.

Answers

Answer:

3.0 would be it

Explanation:

Because if you think bout it the 5.0 negative 2.0 is 3.0

2) If you have a saran wrap that has a neutral charge how many excess electrons does it have?

Answers

Zero, neutral means no extra electrons.

Zero neutral means that there isn’t any

A(n) _____ represents the U.S. in a foreign country.
A. attorney general
B. ambassador
C. secretary
D. embassy

Answers

Ambassador i believe if not then embassy

Answer:

B(Ambassador)

Explanation:

The president appoints ambassadors to foreign countries to represent the United States.

The mass of an object is the measure of what characteristic of the object?
O A. its volume
OB. the space it occupies
OC, the amount of matter it has
OD. its weight

ANSWER PLZ

Answers

Answer:

C. The amount of matter it has

A motorcycle cop, parked at the side of a highway reading a magazine, is passed by a woman in a red Ferrari 308 GTS doing 120.0 km/h. After a few attempts to get his cycle started, the officer roars off 2.00 s later. At what average rate must he accelerate if 159 km/h is his top speed and he is to catch her just at the state line 3.04 km away?

Answers

Answer:

XZXDHF

Explanation:ZDHF

If an 80 kg swimmer pushes off a pool wall with a force of 250 N, what is her
acceleration?

Answers

Answer:

Explanation:

Force = Mass*Acceleration

Remember this formula because its one of the most used formula in all of physics.

250N = 80kg*Acceleration

a = 3.125 m/s^2

There would definitely be friction because of the water, but since this says high school physics, you prolly can assume it to be negligible

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