A car goes up an incline that makes an angle of 20 degrees with the horizontal. If the car has a mass of 1600 kg, and the engine is capable of generating 32000 W of usable power, what is the maximum velocity the car can go at? Take the acceleration of gravity to be 9.81 ms2.

Answers

Answer 1

Answer:

V = 5.96 m/s

Explanation:

First we find the force required to move the car up the inclined plane. This force shall be equal to the component of the weight of the car that is parallel to the inclined plane. Hence,

F = W Sin θ

F = mg Sin θ

where,

F = Force = ?

m = mass of car = 1600 kg

g = 9.8 m/s²

θ = Inclination Angle = 20°

Therefore,

F = (1600 kg)(9.8 m/s²) Sin 20°

F = 5362.87 N

Now, we use power formula:

P = FV

V = P/F

where,

P = Engine Power = 32000 W

V = Maximum Velocity of Car = ?

Therefore,

V = 32000 W/5362.87 N

V = 5.96 m/s


Related Questions

The bowling ball in the following figure is whizzing down the bowling lane at 4 m/s. If the mass of the bowling ball is 7 kg, what is its kinetic energy?

Answers

Answer:

Answer for this question is 3590792.

Answer:

56 Joules

Explanation:

We are given:

Mass of the Ball = 7 kg

Velocity of the Ball=  4 m/s

Kinetic Energy of the Ball:

We know that:

Kinetic Energy = 1/2 (Mass * Velocity²)

replacing the values

Kinetic Energy = 1/2(7 * (4)²)

Kinetic Energy = 1/2(7 * 16)

Kinetic Energy = 56 Joules

Temperature and kinetic energy have what type of
relationship.

Answers

Answer:

The connection is that temperature is the MEASURE of average kinetic energy, so when the temperature increases so will heat and heat is energy.

Explanation:

Answer:

Temperature is a measurement of the average kinetic energy of the molecules in an object or a system. Kinetic energy is the energy that an object has because of its motion. The molecules in a substance have a range of kinetic energies because they don't all move at the same speed

As stated in the kinetic-molecular theory, the temperature of a substance is related to the average kinetic energy of the particles of that substance. When a substance is heated, some of the absorbed energy is stored within the particles, while some of the energy increases the motion of the particles.

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A circular copper loop is placed perpendicular to a uniform magnetic field of 0.75 T. Due to external forces, the area of the loop decreases at a rate of 7.26 × 10^–3 m^2 /s. Determine the induced emf in the loop.

Answers

Answer:

3.63×20^-3V

Explanation:

circular copper loop is placed perpendicular to a uniform magnetic field of 0.75 T. Due to external forces, the area of the loop decreases at a rate of 7.26 × 10^–3 m^2 /s. Determine the induced emf in the loop.

From Faraday-Newmann-Lenz law, the induced emf in the loop is given b

e=- Δθ/Δl

Δθ/Δl= rate of variation of the magnetic flux through the loop.

magnetic flux through the loop = BA

B = magnetic field

A i=area of the loop.

symbol: Φ

Since the magnetic field is constant, the variation of flux can be writing as

e=- B ΔA/Δt

=7.26 × 10^–3 m^2 /s × 0.5T

=3.63×20^-3V

Answer:

5.4E-3 V

Explanation:

EMF = BA

EMF = (0.75)(7.26E-3)

EMF = 0.005445 V

EMF = 5.4E-3 V

Give one example of a question that science would not be able to test. Then, explain how it could be changed into a testable question. (5 points)

Answers

Who was the first president?

It could be changed by asking
“Who was the first president and what was there scientific accomplishment?”

Which of the following best explains how earth is heated through radiation

Answers

Answer:

The sun touches earth during daytime and the suns rays heat our earth giving us heat. The sun heating the earth is also considered radiation.

Explanation:

The musical note A above middle C has frequency of 440Hz. What is the wavelength of the sound produced

Answers

Answer:

These destructive frequencies entrain the thoughts towards disruption, disharmony, and disunity. Additionally, they also stimulate the controlling organ of the body — the brain — into disharmonious resonance, which ultimately creates disease and war.

(350 m/s) / (440/s)
=0.795 meter

A sub-atomic event in which a uranium nucleus splits into lighter
radioactive materials, neutrons, gamma rays, and neutrinos is called a
A fusion
B chain reaction
C enrichment
D Fission reaction

Answers

Answer:

A Fusion

Explanation:

A subatomic event when a uranium nucleus splits into two lighter radioactive materials, then it is a Fission reaction. Hence, option D is correct.

What is the Fission reaction?

Nuclear fission is the process by which an atom's nucleus breaks into two lighter nuclei during a nuclear reaction. This decay may occur naturally as a result of spontaneous radioactive decay, or it may be replicated in a laboratory setting by meeting the appropriate circumstances (bombarding with neutrinos). The resultant fragments typically weigh less when combined than the initial bulk.

Fusion reactions do not produce power, but fission reactions do. However, we haven't yet created technology that can control fusion reactions effectively enough to harness them for useful purposes.

Nuclear fusion operations are distinct from fission nuclear reactions in that the latter do not produce power for consumers.

To get more information about Fission reaction :

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Which of the following would NOT be considered vigorous aerobic exercise?

A) Walking

B) Fast-paced aerobic dancing

C) Jogging

D) Indoor cycling​

Answers

Answer:

A

Explanation:

walking is not particularly vigorous

What is the magnitude of the total acceleration of the tip of a 1.20-m airplane propeller that is moving with an angular speed of 35.0 rad/s and undergoing an angular acceleration of 11.0 rad/s2?
a. 138 m/s2
b. 42 m/s2
c. 145 m/s2
d. 151 m/s^2

Answers

Answer:

a = 13.2 m / s²

Explanation:

For this exercise let's use that the angular and linear variables are related

     

they relate it linearly

          a = α r

          a = 11.0 1.20

          a = 13.2 m / s²

     

the centripetal related

          ac = r w²

          ac = 1.20 35²

          ac = 1470 m / s²

we can see that the answers are not close to the real answer

2. When things happen the force is said to be ————.

Answers

The answer is what is Starwars

Consider a converging lens with a focal point . Without changing the shape and size of the lens, what could you do to move the focus closer to the lens?a. Make the lens from a material with a larger index of refraction.b. There is nothing you can do: the shape alone determines the focal length. c. Make the lens from a material with a smaller index of refraction.

Answers

Answer:

the correct one is A

Explanation:

The focal length of a lens is given

          1 / f = (n-1) (1 /R₁ - 1 /R₂)

where n is the refractive index of the lens and R₁ and R₂ the radii of curvature of the two surfaces.

In our case they indicate that the shape of the lens has not changed, therefore the radii R₁ and R₂ remain constant.

Therefore, the only way to change the focal length is to change the refractive index and as we see the two quantities are inverse, that is, to decrease the focal length we must increase the refractive index

When examining the answers the correct one is A

Wood ducks build their nests in holes in trees near lakes. If some of the trees were removed from around the lake, how would the wood ducks be affected

Answers

Answer:

They would have to relocate to a different tree or relocate or a different area that has trees.

Explanation:

Water is formed when two hydrogen atoms bond to an oxegyn atom. When a substance is made of two or more atoms like this we call it

Answers


When two hydrogens and an oxygen share electrons via covalent bonds, a water molecule is formed. An example of a simple chemical reaction is the breaking down of hydrogen peroxide molecules, each of which consists of two hydrogen atoms bonded to two oxygen atoms (H2O2).

What is the magnetic field a distance 0.03 m away from a long, straight wire carrying a current of 4.4 A?

Answers

Answer:

B = 2.93 x 10⁻⁵ T

Explanation:

The magnetic field due to a straight long wire carrying a current can be found by using Biot-Savart Law, as follows:

B = μ₀I/2πr

where,

B = Magnitude of the magnetic Field = ?

μ₀ = Permeability of free space = 4π x 10⁻⁷ Tm/A

r = distance from wire = 0.03 m

I = Current = 4.4 A

Therefore,

B = (4π x 10⁻⁷ Tm/A)(4.4 A)/(2π)(0.03 m)

B = 2.93 x 10⁻⁵ T

1. Suppose you're working at a constant temperature , when you exert more pressure on an object
its volume would
(1 Point)
Increase
Decrease
Stay the same

Answers

Answer:

Decrease

Explanation:

Working at a constant temperature when more pressure is exerted, the volume decreases.

This is known as Boyle's law.

 According to Boyle's law;

       "the volume of a fixed mass of a gas varies inversely as the pressure changes, if the temperature is constant".

  Mathematically;

          P₁V₁  = P₂V₂

P and V are pressure and volume

1 and 2 are initial and final states.

can superconductors conduct at 0 Kelvins?

Answers

Answer:

No, superconductors cannot conduct at 0 Kelvin's.

On the surface of the Mars, gravity is 3.8 m/s2 . An astronaut has a mass of 90 kg. (a) Calculate his weight on Earth, (b) State his mass when on Mars and (c) calculate his weight when on Mars.

Answers

Answer:

(a) W = 882 N

(b) m = 90 kg

(c) Wm = 342 N

Explanation:

(a)

The weight of n object on the surface of earth is given as:

W = mg

where,

W = Weight of Astronaut on Earth = ?

m = mass of astronaut = 90 kg

g = acceleration due to gravity on surface of earth = 9.8 m/s²

Therefore,

W = (90 kg)(9.8 m/s²)

W = 882 N

(b)

Mass of a body is a universal constant. The mass of the body remains same any where in the universe. Therefore, on mars the mass of astronaut will be:

m = 90 kg

(c)

The weight of an object on the surface of Mars is given as:

Wm = m(gm)

where,

Wm = Weight of Astronaut on Mars = ?

m = mass of astronaut = 90 kg

gm = acceleration due to gravity on surface of Mars = 3.8 m/s²

Therefore,

Wm = (90 kg)(3.8 m/s²)

Wm = 342 N

A 6.9 kg object is suspended by a string from the ceiling of an elevator. The acceleration of gravity is 9.8 m/s 2 . Determine the tension in the string if it is accelerating upward at a rate of 2.9 m/s 2 . Answer in units of N.

Answers

Answer:

Tension, T = 87.63  N

Explanation:

Given that,

Mass of the object, m = 6.9 kg

The string is acting in the upward direction, a = 2.9 m/s²

Acceleration due to gravity, g = 9.8 m/s²

As the lift is accelerating upwards, it means the net force acting on it is given by :

T = m(a+g)

= 6.9 (2.9+9.8)

= 6.9(2.7)

= 87.63  N

So, the tension in the string is 87.63  N.

Magnetic resonance imaging needs a magnetic field strength of 1.5 T. The solenoid is 1.8 m long and 75 cm in diameter. It is tightly wound with a single layer of 2.20-mm-diameter superconducting wire.

Required:
What current is needed?

Answers

Answer:

The current needed is 2625.72 A.

Explanation:

Given;

magnetic field strength, B = 1.5 T

length of the solenoid, L = 1.8 m

diameter of the solenoid, d = 75 cm

The number of turns is given by;

[tex]N = \frac{Length \ of solenoid }{diameter \ of wire}\\\\N = \frac{1.8}{2.2*10^{-3}} = 818.18 \ turns[/tex]

The magnetic field is given by;

[tex]B = \frac{\mu_o NI}{l}[/tex]

where;

I is the current needed

[tex]I = \frac{Bl}{\mu_o N} \\\\I = \frac{(1.5)(1.8)}{(4\pi*10^{-7})(818.18)} \\\\I = 2625.72 \ A[/tex]

Therefore, the current needed is 2625.72 A.

What does aerobic refer to?

A) How your body uses oxygen

B) No answer is correct

C) With little available oxygen

D) The absence of oxygen​

Answers

Answer:

A) how your body uses oxygen

It’s the first option

Calculate the Torque that a child must apply to swing a rock of mass 0.4 kg in a radius 0.91 meters. From rest to a final linear velocity of 6 m/s in 3 seconds.

Answers

Answer:

who you ganna throw that rock at child

Explanation:

What is gravity?
Gravity is a force that pushes objects away from each other.
Gravity is a non-contact attractive force between objects in the universe.
Gravity is a contact force between objects in the universe.
Gravity is the speed at which things move in the universe

Answers

Answer:

hiii

Explanation:

but u have already given the answer along with the question

Answer:

Gravity is a contact force between objects in the universe

Explanation:

Gravity doesn't repel objects, it pulls them closer.

3. Which of the following units is the SI unit of velocity? (1pt.)
a. meter
c. meter per second
b. meter second
d. second per meter

Answers

Answer:

c.meter per second is the answer

A 325 g object attached to a horizontal spring moves in simple harmonic motion with a period of 0.220 s. The total mechanical energy of the spring-mass system is 5.46 J. A. What is the maximum speed of the object (in m/s)?B) Find the force constant of the spring.C) Find the amplitude of the motion.

Answers

Answer:

Explanation:

Total mechanical energy = 1/2 m ω²A² where ω is angular frequency and A is amplitude .

Given

1/2 m ω²A² = 5.46

ω²A² = 2 x 5.6 / m

= 2 x 5.6 / .325

= 34.46

ωA = 5.87

maximum speed = ωA = 5.87 m /s

B )

angular frequency = 2π / T , T is period of oscillation .

= 2 x 3.14 / .22

= 28.54 s⁻¹

ω = [tex]\sqrt{\frac{k}{m} }[/tex]

k is force constant and m is mass

[tex]28.54=\sqrt{\frac{k}{.325} }[/tex]

k = 264.72 N/m

C)

ωA = 5.87

28.54 X A = 5.87

A = .2056 m

= 20.56 cm .


Satellites moving at a high speed stay in orbit because

their inertia continuously steers them around Earth

gravity cannot act on objects traveling above a certain speed

Earth's surface curves away as gravity pulls them toward Earth

the force of gravity keeps satellites moving at a constant velocity

Answers

Answer:

1st one,

Due to inertia it tries to move in straight line, but space is curved because of earth

Answer:

Earth's surface curves away as gravity pulls them toward Earth

Explanation:

Your Welcome (; (:

figure 2 shows a charged ball of mass m = 1.0 g and charage q = -24*10^-8 c suspended by massless string in the presence of a uniform electric field E , in this field the ball is in equilibrium at theta = 37 , calculate the magnitude of the electric field E

Answers

Answer:

E = 307667  N/C

Explanation:

Since the object's mass is 1 g, then its weight in newtons is 0.001 * 9.8 = 0.0098 N.

This weight should have the same magnitude of the vertical component of the tension T of the string (T * cos(37)) so we can find the magnitude of the tension T via:

0.0098 N = T * cos(37)

then T = 0.0098/cos(37) N = 0.01227 N

Knowing the tension's magnitude, we can find its horizontal component:

T * sin(37) = 0.007384 N

and now we can obtain the value of the electric field since we know the charge of the ball to be: -2.4 * 10^(-8) C:

0.007384 N = E * 2.4 * 10^(-8) C

Then  E = 0.007384/2.4 * 10^(-8)  N/C

E = 307667  N/C

A family member wants to get into better shape. Choose an individual sport and explain how the family member's health

Answers

Answer:

I would say Basketball, football, or swimming

Explanation:

because they are fun and you get in better shape at the same time

Yamel is heating up leftover mashed potatoes from Thanksgiving. She forgot to put gravy on them. So she puts the cold gravy on the hot mashed potatoes. Which statement best describes what will happen? A-The mashed potatoes will transfer heat into the gravy B-The gravy and mashed potatoes both transfer heat into the plate C-The gravy will transfer cold into the mashed potatoes D- The gravy transfers cold into the mashed potatoes and plate​

Answers

Answer:

The correct answer is - option A. The mashed potatoes will transfer heat into the gravy.

Explanation:

In this case, where Yamel heats the mashed potatoes but forgets to heat the gravy and put the cold gravy on the hot mashed potatoes. Heat always transfers from the high-temperature object to the low-temperature object. So the hot mashed potatoes will transfer the heat to the gravy according to option A. Cold is not a form of heat but the condition of absence of heat or very low temperature.

Thus, the correct answer is - option A. The mashed potatoes will transfer heat into the gravy.

what are electromagnetic waves?

please i need a good answer

Answers

Answer:

In physics, electromagnetic radiation refers to the waves of the electromagnetic field, propagating through space, carrying electromagnetic radiant energy. It includes radio waves, microwaves, infrared, light, ultraviolet, X-rays, and gamma rays.

Explanation:

+ Which of the following statements defines a pure substance?
O A. a material that has definite physical properties but not definite chemical properties wherever it is found
OB. a material that has definite physical properties and definite chemical properties wherever it is found
O c. a material that has definite chemical properties but not definite physical properties wherever it is found
OD. a material that has neither definite physical properties nor definite chemical properties wherever it is found

Answers

Answer: B. a material that has definite physical properties and definite chemical properties wherever it is found.

Explanation: I just did this and got it right

The statement that defines a pure substance is that a pure substance is a material that has definite physical properties and definite chemical properties wherever it is found, therefore the correct answer is option B.

What is the matter?

Anything which has mass and occupies space is known as matter, mainly there are four states of matter solid liquid gas, and plasma.

These different states of matter have different characteristics according to which they vary their volume and shape.

The correct response is option B since the definition of a pure substance is that it is a material with distinct physical and chemical characteristics wherever it is found.

To learn more about the matter here, refer to the link;

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