Question 4 A car of mass 820 kg has a maximum power of 30 kW and moves against a constant resistance of motion to 910 N. Calculate the maximum speed of the car in the following situation; b)Up an incline (hill) of 8.75° to the horizontal?​

Answers

Answer 1

Answer:

P = W / t = m g s / t = m g v       where work by auto = m g s

30 kw = 30000 watts = 30000 J / s

Work wasted = F v       as shown above relating work and power

Work done against incline = m g s sin 8.75  and power against incline

= m g v sin 8.75 = 1222 v Joules / sec

power in moving auto = power available - power lost to friction

power in moving auto = 30000 - resistance = 30000 - 910 v

1222 v = 30000 - 910 v

v = 30000 / 2132 = 14 m/s

Note: constant resistance to motion must mean P = W / t = F s / t = F v

Answer 2

Maximum speed will be v = 14.07 m/s

What is power ?

Power is defined time rate of doing work or delivering energy.

Work done = Force * displacement

Power = work done / time

           = (Force * displacement ) / time

since , displacement / time = velocity

Power  = force * (displacement / time ) = force  * velocity

Power = mass * acceleration * velocity (  as force = mass * acceleration)

since , car is travelling up in an incline of 8.75° to the horizontal

hence , it will have two components of velocity

vertical component = v sin (theta ) = v sin(8.75°)

horizontal component = v cos (theta)= v cos (8.75°)

Power = m* a * v sin (theta )

          = 820 * 9.8  * v *sin (8.75°)                        ( a = g = 9.8 m[tex]/s^{2}[/tex])

         = 1221.472 v

Power lost due to resistance in motion  = 910 * velocity = 910 v

Power = Total power - power lost due to resistance in motion

           = 30 * [tex]10^{3}[/tex]  - 910 v

     

30 * [tex]10^{3}[/tex]  - 910 v = 1221.472 v  

v = 14.07 m/s

Maximum speed will be v = 14.07 m/s

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Related Questions

60.96-mile distance in kilometers

Answers

Answer:

98.105610 Kilometers

Explanation:

Rounded to 8 digits

Answer:

98.11 km

Explanation:

60.96 mi (5280ft/mi)(12 in/ft)(2.54 cm/in)(1 m/ 100cm)(1 km/1000 m) = 98.10561024 km

however, reporting this precision to the nearest hundred millionth of a kilometer is silly as we only know the mile dimension to the nearest hundredth of a mile.

A hundredth of a mile is 5280/100 = 52.8 ft or just over 16 m

It would only be a little bit of a presumption to give our precision to the nearest 10 meters as I have done.

This also fits neatly into the significant digits rule. Both the original dimension and the converted dimension have four significant digits.

9.1 x 105 – 7.2 x 105
=

Answers

Answer:

1.9 x 10⁵

Explanation:

I ASSUME your question is supposed to read

9.1 x 10⁵ – 7.2 x 10⁵ =

9.1 - 7.2 = 1.9 and the powers are the same so just tag them along

its the same as

910000 - 720000 = 190000

1.9 x 105 could be another possibility if the question is actually posed correctly.

What is the amount of force exerted by gas particles?

Answers

Answer:

Pressure is the force divided by the area on which the force is exerted, and temperature is measured with a thermometer. We gain a better understanding of pressure and temperature from the kinetic theory of gases, which assumes that atoms and molecules are in continuous random motion.

The length, breadth and height of a box is 50cm, 20cm and 10cm respectively then find surface area of its base and volume.

Answers

Surface area of base: 1000cm^2
When calculating surface area of just the base, we ignore the height. Therefore, we just multiply the length and height values.
50cm x 20cm = 1000cm^2

Volume = 10,000cm^3
Volume of a box is calculated by multiplying length by breadth by height.
50cm x 20cm x 10cm = 10,000cm^3

Hope this helped!

I just hope this pic will help you

Name another way that energy is made

Answers

Answer:

The three major categories of energy for electricity generation are fossil fuels (coal, natural gas, and petroleum), nuclear energy, and renewable energy sources. Most electricity is generated with steam turbines using fossil fuels, nuclear, biomass, geothermal, and solar thermal energy.

Explanation:

Solar

Wind

Geothermal

Hydrogen

TidaWave

Hydroelectric

Biomass

Which of the following is NOT an important phenomenon that commonly erodes and weathers exposed rock outcrops to form sedimentary material?
a) Lightning
b) Wind
c) Rain
d) Freezing/Thawing

Answers

Answer:

Explanation:

While each of these can cause erosion and weathering, lightning is probably the least important as it occurs less frequently and affects a much smaller surface area when it strikes.

Wind is not very effective by itself, but it can carry abrasives which work to degrade rock surfaces. It covers a very large area at once so the net effect can be moderate to large especially desert areas where plants are not readily available to disrupt the flow.

Rain covers huge areas and is quite common.

Freezing/Thawing cycles cover large areas and are quite common in the temperate and arctic latitudes and even in tropical altitudes.

Attached is a photo taken atop Half Dome in Yosemite National Park showing two of thousands of divots in the rock there caused by lightning strikes. The current in the lightning heats the stone causing water trapped in it to flash to steam. The increased pressure inside the stone can overwhelm the material strength and blow rock chunks over a fairly good sized area. This is a fairly rapid weathering and erosion when it occurs, but that is typically limited to a few dozen days per year and occurs mostly on high ground where lightning is more likely to strike earth.

Driving home from school one day, you spot a ball rolling out into the street . (See the figure below) You brake for 1.50 s , slowing your 950-kg car from 16.0 m/s to 9.50 m/s.

a)What was the magnitude of the average force exerted on your car during braking?

b)What was the direction of the average force exerted on your car during braking?

c)How far did you travel while braking?

Answers

Answer:

a) 4116.67 N

b) negative (assuming car is traveling in positive direction)

c) 19.125 m

Explanation:

Part A)

We can find the average force exerted on the car by using Newton's 2nd Law: F = ma.

We have the mass (950 kg) but we do not have the acceleration. Let's solve for this using kinematics.

We have the time during braking, the initial and final velocity, and we need to find the acceleration. To do this, we can use the following equation: v = v₀ + at.

v (final velocity) = 9.50 m/sv₀ (initial velocity) = 16.0 m/st (time) = 1.50 s a = ?

Substitute these values into the equation.

v = v₀ + at9.50 m/s = 16.0 m/s + a (1.50 s) 9.50 = 16.0 + 1.50a -6.50 = 1.50a a = -4.333333... m/s²

The car's acceleration during the braking period is -4.33 m/s², assuming the car is traveling in the positive direction.

Now, we can use this to plug into Newton's 2nd Law to find the force exerted on the car.

F = maF = (950 kg) (-4.33...) F = -4116.666667 N

The magnitude of the average force exerted on the car while braking is the absolute value, so it is 4116.67 N.

Part B)

The direction of the average force is denoted in the negative sign. It is opposite the direction of the car's motion. Assuming that the car is traveling in the positive direction, the direction of the average force exerted on the car is in the negative direction since this force is slowing the car down while braking.

Part C)

We can find the distance traveled during the braking period by using another kinematic equation.

We have the initial and final velocity, and the time traveled, so we can use this equation: Δx = v_avg · t.

Note that v_avg is the same thing as (v + v₀) / 2.

Substitute the known values into the equation.

Δx = [(9.50 + 16.0)/2] · 1.50 Δx = 12.75 · 1.50Δx = 19.125 m

The car traveled 19.125 m while braking.

A positively charged glass rod is bought close to a suspended metal needle. What
can we say about the charge on the needle given that the needle is
a) attracted ?
b) repelled ?

Answers

Answer:

attracted

Explanation:

opposite charges attract each other when the rub against each other

Answer:

This depends because the electrostatic force obeys the principle that states that force between both of the particles does not get affected by the charges of the other thus if the needle is getting attracted it possess negative charges( the opposite charge) .And if they repel it means they have the same charges ( positive charges).

A scientist obtains images of a particular star, which appears as four separate stars.
Which phenomenon causes the star to appear this way?
O redshift
gravitational lensing
O principle of equivalence
O gravitational time dilation

Answers

Answer:

gravitational lensing

Explanation:

Answer:

Gravitational lensing

Explanation:

A light bulb uses 40.0 W of power when connected to a 110 V (DC) outlet. If the same bulb is connected to a European 220 V outlet, how much power will the bulb use?​

Answers

If the bulb's resistance doesn't change, the power it uses is proportional to the square of the voltage. So doubling the voltage quadruples the power.

On 220 V, the bulb uses (4 • 40w)= 160 W.

It glows very brightly.

For a very short time.

Because it also gets very hot, and burns out.

After a few seconds, it uses zero watts.

Answer:

160

Explanation:

Acellus


Who among the old Greek Philosophers/Scientists was the first to systematically study the
Stars?

Answers

Previous Answer:

Aristotle

Change:

Aristarchus

Answer:

Aristarchus of Samos was the first Greek philosopher to believe the solar system was organized around the Sun, rather than the Earth. The heliocentric was very unpopular during Aristarchus' lifetime, although it would inspire astronomers centuries later. Ptolemy was an astronomer and mathematician.

What is crowbar? Class 8

Answers

Answer:

Crowbar is a tool made of metal rods that are flattened at both ends, with one of them curved. There is also a crowbar that is curved at both ends.

hope it helped

A footballer kicks a ball at an angle of 45° with the horizontal. If the ball was in the air
for 10 s and lands 4000 m away determine its initial speed.

Answers

Answer:

HOPE THIS ANSWER WILL HELP YOU

50 POINTS!

Motion Diagrams: Observe each motion and describe how to object is moving. If the motion diagrams show more than one kind, highlight and label each kind. Please thoroughly explain. Thank you so much!

Answers

No:1

The object is moving with constant or uniform acceleration and in average speed

No:-2

The object is de accelerating

No:-3

The object deaccelerated and came to rest so fast.

No:-4

The object moves slowly first then accelerated.

No:-5

The object accelerated at first so fast then move with constant acceleration then again accelerated .

You shake a bottle of soda and take off the cap. If the soda shoots out of the
bottle with a velocity of 17 m/s, how high will it go?
A. 16.9 m
B. 14.7 m
C. 10.6 m
D. 12.2 m

Answers

Answer:  B) 14.7 meters

============================================================

Explanation:

The bottle cap is a projectile, so we'll use the aptly named projectile formula

That formula (the meters version of it anyway) is approximately

h = -4.9t^2 + v*t + s

where,

t = elapsed time in secondsh = height at time tv = starting velocitys = starting height

We'll assume that s = 0, though realistically it's probably going to be a bit larger than this (since the person is holding it above the ground). For the sake of simplicity, we'll stick with s = 0.

We're told that the initial velocity is 17 m/s, which means v = 17.

All of that means the formula mentioned earlier updates into this:

h = -4.9t^2 + 17t

If we were to graph this, or apply the -b/(2a) formula, then you should find that the vertex occurs when t = 1.73469 approximately.

Plug this into the equation we found to get...

h = -4.9t^2 + 17t

h = -4.9(1.73469)^2 + 17(1.73469)

h = 14.7449

h = 14.7

The bottle cap will reach a peak height of approximately 14.7 meters and does so at around the 1.7 second mark. The total flight time is approximately 2*1.7 = 3.4 seconds. This all assumes that the starting height and ending height are both 0 meters off the ground.

The soda will go as high as 14.7 meters. Therefore, option (B) is correct.

What is the conservation of energy principle?

We can solve this problem using the conservation of energy principle, which states that the initial energy of a system is equal to the final energy. At the start, the soda in the bottle has some potential energy due to its position and kinetic energy due to its motion. When the soda shoots out of the bottle, it converts all of its initial energy to potential energy as it reaches its maximum height.

Using the conservation of energy, we can write:

Initial energy = Final energy

[tex]0.5 * m * v^2 = m * g * h[/tex]

where m is the mass of the soda, v is its velocity, g is the acceleration due to gravity ([tex]9.8 m/s^2[/tex]), and h is the height it reaches.

Solving for h, we get:

h = [tex](v^2)/(2g) = (17^2)/(29.8)[/tex]= 14.7 m

Therefore, the soda will go as high as 14.7 meters. Option B is correct.

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Which feature of a heating curve indicates a change of state

Answers

Answer:

The diagonal or the inclined lines shows the changes in terms of temperature, and the horizontal lines shows the changing of phases.

Explanation:

hope it is useful

(a) A pendulum that has a period of 3.00000 s and that is located where the acceleration due to gravity is 9.79m/s2 is moved to a location where the acceleration due to gravity is 9.82m/s2. What is its new period

Answers

I assume this is the motion of the simple pendulum

T = 2π × [tex]\sqrt{\frac{L}{g } }[/tex]

=> [tex]\frac{T1}{T2 }[/tex] = [tex]\sqrt{\frac{g2}{g1} }[/tex]

Given T1= 3s g1= 9.79 g2= 9.82

=> T2 = 3.00459 s

câu 1 vẽ sơ đồ trình bày nguyên lý làm việc các thông số và đặc điểm của mạch chỉnh lưu cầu 1 pha
câu 2 vẽ sơ đồ trình bày nguyên lý làm việc của bộ nghịch lưu áp 1 pha

Answers

Answer:gang gang father gang

Explanation:idek cuh

What is the velocity of a car that traveled a total of 75 kilometers north in 1.5 hours?

What are you solving for?
What’s the equation?
Show work!
Help pleaseee!

Answers

Answer:

50km/hr is the velocity of a car that traveled a total of 75 km North in 1.5 hours.

if you think that Horoscopes are Science or Pseudo-Science and give your reason

Answers

Answer:

Pseudo science

Explanation:

Astrology has not demonstrated its effectiveness in controlled studies and has no scientific validity, and is thus regarded as pseudoscience.

If the mass of an object is 5 kg and the velocity is 8 m/s, what is the momentum?

Answers

Answer:

40 kg•m/s

Explanation:

momentum (p) = mass (kg) × velocity (m/s)

Consider the mass-on-a-spring system as shown in the figure below. The spring has a spring constant of 1.81e+3 N/m, and the block has a mass of 0.988 kg. There is a constant force of kinetic friction between the mass and the floor of 1.79 N. Starting with the spring compressed by 0.172 m from its equilibrium position, how far will the block travel once it leaves the spring? (Assume that block leaves the spring at at the spring's equilibrium position, marked x=0 in the figure.

Answers

K1Answer:

s= 6.5cm

Explanation:

Point 1: just right before the block leaves the spring

Point 2: the block has v2=0 (stops moving)

Apply Kinetic-Work Theorem:

K1 + U1 + Wother = K2 + U2

K1=0

U1= 1/2×k×x² (k= 1.81e+3 N/m and x= -0.172 m)

Wother = F×s= 1.79×s

K2=0

U2=0

=> s= 6.5cm

This is my attempt to solve. Let me know if this isn't right

what are the newtons law and their formulas

Answers

Answer:

Newton's second law of motion states that the acceleration ( a) experienced by an object is directly proportional to the net force ( Fnet) experienced by the object and inversely proportional to the mass of the object. In equation form, it could be said that a = Fnet/m. The net force is the vector sum of all the individual force values.

Explanation:

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