Pi] A car's engine produces a useful output power of 6.5 10° W
The car of mass 950 kg is moving up a hill at a steady speed.
The slope of the hill is 12° to the horizontal. Resistive forces on the car are negligible.
1?
What is the steady speed of the car? rk
[1 mark]
A 7.0ms7 [e]
B 12ms7 [e]
Cc 34ms7 [=]
D 68ms7 [e]
![Pi] A Car's Engine Produces A Useful Output Power Of 6.5 10 WThe Car Of Mass 950 Kg Is Moving Up A Hill](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/bVU9U86DTT66G6ab89TLNNGgqFc4HHKX.png)
Answers
Recall that
P = F v
where
P = power produced by the engine
F = magnitude of the component force supplied by the engine in the direction of the car's motion
v = speed of the car
Draw a free-body diagram for the car, and decompose all the forces acting on it into components that act parallel and perpendicular to the slope. The car moves parallel to the slope, so we only care about 2 forces: the parallel component of the car's weight, and the force provided by the engine.
By Newton's second law, since the car is moving at a constant speed,
∑ F = F - m g sin(12°) = 0
where m = 950 kg and g = 9.80 m/s². Solve for F :
F = m g sin(12°) ≈ 1935.658 N
The engine provides P = 6.5 × 10⁴ W, so the car's speed v is
v = P / F = (6.5 × 10⁴ W) / (1935.658 N) ≈ 33.6 m/s
which makes C : 34 ms⁻¹ the closest answer.
The Steady speed of a car moving up a hill, with a slope of 12° to the horizontal, whose output power is 6.5×10⁴ W and whose mass is 950 kg is A. 7.0 m/s
Speed: This can be defined as the ratio of distance to the time travelled by a body. The S.I unit of speed is m/s
The question above can be solved using the formula below[tex]P = (mgcosx)V[/tex].................... Equation 1
Where P = output Power of the engine, m = mass of the car, g = acceleration due to gravity, x = angle of the hill with the horizontal, V = steady speed of the car.
Make V the subject of the equation[tex]V = P/mgcosx[/tex]............... Equation 2
From the question,
Given: P = 6.5×10⁴ W, m = 950 kg, x = 12° Constant: g = 9.8 m/s²Substitute the values into equation 2[tex]V = (6.5*10^{4} )/(950*9.8*cos12)[/tex]
[tex]V = 65000/9106.55[/tex]
[tex]V = 7.13 m/s[/tex]
From the question, the right option is A. 7.0 m/s
Hence the steady speed of the car is 7.0 m/s
Learn more about speed here: https://brainly.com/question/18316946
Related Questions
What is the difference between center of mass and center of gravity?
Answers
Answer:
Centre of mass is the point at which the distribution of mass is equal in all directions, and does not depend on gravitational field. Centre of gravity is the point at which the distribution of weight is equal in all directions, and does depend on gravitational field.
Answer:
Centre of mass is the point at which the distribution of mass is equal in all directions, and does not depend on gravitational field.
Centre of gravity is the point at which the distribution of weight is equal in all directions, and does depend on gravitational field.
hope this helps you ☺️☺️
we cannot work without food why
Answers
Answer:
Food supplies the body with energy and without energy the body cannot work.
Planck’s constant is a ratio between which two quantities?
A. the frequency and wavelength of a photon
B. the speed and frequency of any small particle
C. the energy and frequency of a photon
D. the kinetic energy and velocity of a photoelectron
Answers
Answer:
Energy and frequency
Explanation:
The small piston of the hydraulic press with an area of 20 cm² is subjected to a force of 200 N and has lowered by 50 cm. What force acts on a large piston with an area of 0.01 m² and to what height did it rise? (I already found out that large piston force is 1000N how do I calculate in what height did it rise?)
Answers
Answer:
The large piston would rise by [tex]10\; \rm cm[/tex] (which is equal to [tex]0.1\; \rm m[/tex].)
Explanation:
Convert the unit of the area of the larger piston to [tex]\rm cm^{2}[/tex]:
[tex]0.01\; \rm m^{2} = 100\; \rm cm^{2}[/tex].
If the pipe is cylindrical, the liquid that the smaller piston pushed into the pipe would be a cylinder:
Height of the cylinder: [tex]50\; \rm cm[/tex].Area of the top of the cylinder: [tex]20\; \rm cm^{2}[/tex] (same as the area of the smaller piston.)Volume of liquid that the smaller piston pushed into the pipe:
[tex]\begin{aligned} & \text{Volume of Cylinder} \\ &= \text{Area of the Top of the Cylinder} \\ &\quad\quad \times \text{Height of Cylinder} \\ &= 20\; \rm cm^{2} \times 50\; \rm cm \\ &= 1000\; \rm cm^{3} \end{aligned}[/tex].
Unlike gas, the volume of a liquid (such as the one in this hydraulic press) at a given temperature tends to be fixed.
Therefore, when the small piston pushed [tex]1000\; \rm cm^{3}[/tex] of liquid into the pipe, liquid of the exact same volume ([tex]1000\; \rm cm^{3}\![/tex]) would appear under the larger piston and push the larger piston upwards.
Rearrange the equation to find the height by which the larger piston rises (same as the height of the [tex]1000\; \rm cm^{3}[/tex] liquid cylinder under the larger piston.)
[tex]\begin{aligned} & \text{Height of Cylinder} \\ &= \frac{\text{Volume of the Cylinder}}{\text{Area of the Top of the Cylinder}} \\ &= \frac{1000\; \rm cm^{3}}{100\; \rm cm^{2}} = 10\; \rm cm \end{aligned}[/tex].
The surface of the paper is phosphorescent. When light shines on it, some of the energy is absorbed and re-emitted slowly over time. The blue LED causes the surface to glow, but the green LED does not. Would a red LED to cause the surface to glow? Select the best answer from the choices provided. View Available Hint(s) Select the best answer from the choices provided. No Yes
Answers
Answer:
No
Explanation:
Recall that the hierarchy of wavelength color from minimum wavelength to maximum wavelength is:
[tex]V < I < B < G < Y < O < R;[/tex] and
[tex]E \ \alpha \ \dfrac{1}{\lambda}[/tex]
As a result, blue light has a higher energy level than green and red light.
As a result, the surface glows due to the blue LED. The green LED, on the other hand, would not allow the surface to glow as much as the red LED, which has a lower energy level when compared to the green light. As a result, the red LED would not allow the surface to glow as well.
Which particles
are
electrically neutral?
А
electrons
B
protons
C
neutrons
D
all of the above
For flocabulary
Answers
Answer:
C. Neutrons
Explanation:
Protons +
Electron -
How has the theory of the Universe changed over time?
Answers
a) State what is meant by absolute zero temperature.
Answers
Answer:
Absolute zero temperature is the lowest limit of the thermodynamic temperature scale, a state at which the enthalpy and entropy of a cooled ideal gas reach their minimum value, taken as zero kelvins.
According to Lenz's law, the current is induced in the closed conducting loop in such a direction that the magnetic field induced by this current opposes the change in the flux through the loop.
a. True
b. False
Answers
Answer:
True
Explanation:
It is true that the real definition of lenz's law in magnetism is the current is induced in the closed conducting loop in such a direction that the magnetic field induced by this current opposes the change in the flux through the loop.
This means that induced current opposes the very cause that produces it.
In the circuit shown below, 0.25 A of current flows through a 20-Ω resistor. How much voltage is needed to produce this current?
A. 80 V
B. 0.013 V
C. 19.75 V
D. 5 V
Answers
Answer:
5 V
Explanation:
V = IR
V = .25A * 20 Ohms = 5 V
What is the KE of a bicycle with a mass of 41kg traveling at a velocity of 8 m/s ?
Answers
Answer:
What is the kinetic energy of a bicycle with a mass of 14 kg traveling at a velocity of 3 m/s? Physics ... K=12mv2=12×14 kg × (3 m/s)2=63 Joule.
1 answer
63 Joule Explanation: K=12mv2=12×14 kg × (3 m/s)2=63 Joule
Explanation:
K=12mv2=12×14 kg × (3 m/s)2=63 Joule.
63 Joule Explanation: K=12mv2=12×14 kg × (3 m/s)2=63 Joule
An airplane flew from San Francisco to Washington, D.C. Approximately
halfway through the flight, the plane had traveled 2,000 km in 2.5 hours.
What was the speed during this period?
Another airplane is flying in the opposite direction. It covers the same distance in exactly 2 hours. What was its speed and direction during this period?
Answers
Answer:
The solution is given below:
Explanation:
The computation of the speed is shown below
As we know that
Speed = distance ÷ time
where
distance is 2000 km
And, the time is 2.5 hours
SO, the speed is
= 2,000 ÷ 2.5
= 800 km/h
Now the distance would be the same i.e. 2,000 km
but the time is 2 hours
So, the speed is
= 2,000 km ÷ 2 hours
= 1,000 km/hr
The direction should be opposite to the first airplane
Total momentum before a collision is equal to total momentum after a collision.what does this define
Answers
Answer:haha
Explanation:dont know
A bird sits on a uniform rod suspended from vertical wires P and Q.
i
x !
'
v
P a
1
not to scale
15.0 cm
2W
The rod has a weight J’ and is 15.0 & long.
The weight of the bird is 2’ and acts at a distance x from P.
What is the value of x when the tension in P is half the tension in Q?
[1 mark]
A 7.50 cm [=]
B 10.0cm [e]
Cc 13cm fe]
D 15.0cm [e]
!
Answers
Tommy runs his juicer every morning. The juicer uses 90 w of power & the current supplied in 4.5 A. How many volts are necessary to run the juicer?
Answers
Answer:
20 Volts
Explanation:
Ohm's Law and Power Equations
Ohm's law equation (formula): V = I × R and the power law equation
(formula): P = I × V. P = power, I or J = Latin: influare, international ampere, or intensity and R = resistance. V = voltage, electric potential difference Δ V or E = electromotive force (emf = voltage).
Voltage or volts E or V: volts V
Resistivity or resistance R: ohms Ω
Wattage or power P: watts W
Amperage or current I: amperes, amps A
Tell whether the picture below shows a
[tex]sport[/tex]
or
[tex]game[/tex]
Write your answer on your notebook.
Answers
Answer:
1. game
2. game
3. game
4. sports
5. sports
6. game
7. game
8. sports
hope it helps:)
Answer:
1. sports
2. game
3. game
4. sports
5. sports
6. sports
7. game
8. game
the diagram above shows a uniform metre rule, X Y which is balance horizontally at the 90cm mark, when a mass of 0.4kg is suspended from Y. what is the mass of the metre rule
Answers
Answer:
0.1 Kg
Explanation:
Please see attached photo for explanation.
In the attached photo, M is the mass of the metre rule.
From the attached photo,
Anticlock wise moment = M × 40
Clockwise moment = 0.4 × 10
Anticlock wise moment = Clockwise moment
M × 40 = 0.4 × 10
M × 40 = 4
Divide both side by 40
M = 4 / 40
M = 0.1 Kg
Thus, the mass of the metre rule is 0.1 Kg
why silicon have large forward current as compared to germanium?
Answers
Answer:
The structure of Germanium crystals will be destroyed at higher temperature. However, Silicon crystals are not easily damaged by excess heat. Peak Inverse Voltage ratings of Silicon diodes are greater than Germanium diodes. Si is less expensive due to the greater abundance of element.
According to the momentum principle, the change in momentum of an object equals the impulse, which depends on______
Answers
Answer: The momentum principle depends on MASS and VELOCITY.
Explanation:
The momentum principle states that net force changes the the momentum of an object where momentum is the product of the MASS of the body and it's VELOCITY.
Thus, momentum = mass(kg) ×velocity( m/s)= kgm/s ( derived unit)
Also to determine the rate of change of momentum;
Mass=m, initial velocity =u, final velocity = V and time =t
Initial momentum = mu
Final momentum = mv
Change in momentum = mv - mu
= m( v- u)
Rate of change of momentum=
m( v -u)/t --> equation 1
But V = u + at
Hence, a = v -u/t
Substitute for v -u/ t in equation 1
F = Kma, where k is constant and has the value of 1.
Therefore F = ma
Newton is the SI unit if force. It is defined as the force which gives a mass of 1kg an acceleration of 1 m/s².
IMPULSE is defined as the change of momentum of a body (mv-mu) or the product of force and time.
Thus impulse = force × time = m (v-u)
The unit is Ns ( Newton seconds) which is the same as change in momentum.
in the early solar system,comets that struck earth may have brought in
A.water
B.advanced life
c.plankton
D.all of the above
Answers
[tex]\huge{\mathbb{\tt { QUESTION↓}}}[/tex]
In the early solar system,comets that struck earth may have brought in
[tex]\color{green}{\tt{O} \: \: \color{black}{\tt {A.water}}}[/tex]
[tex]\color{green}{\tt{O} \: \: \color{black}{\tt {B.Advanced Life}}}[/tex]
[tex]\color{green}{\tt{O} \: \: \color{black}{\tt {C.Plankton}}}[/tex]
[tex]\color{green}{\tt{O} \: \: \color{black}{\tt {D. All \: of \: the \: above}}}[/tex]
[tex]\huge{\mathbb{\tt { ANSWER↓}}}[/tex]
[tex]\color{red}{\tt {D. \: All \: of \: the \: above}}[/tex]
[tex]\color{black}{\tt {because \: the \: true \: answer \: is \: comet}}[/tex]
[tex]{\boxed{\boxed{\tt{WHAT \: IS \: COMET?}}}}[/tex]
[tex]\color{black}{\tt{A \: comet \: is \: an \: icy, \: small \: Solar \: System \: body}}[/tex]
[tex]\color{black}{\tt { that, \: when \: passing \: clos \: e to}}[/tex]
[tex] \color{black}{\tt {the \: Sun, \: warms \: and \: begins \: to \: release}}[/tex]
[tex]\color{black}{\tt { gases, \: a \: process \: that \: is \: called \: outgassing. }}[/tex]
[tex]\color{black}{\tt{This \: produces \: a \: visible \: atmosphere \: or \: coma,}}[/tex]
[tex]\color{black}{\tt{and \: sometimes \: also \: a \: tail}}[/tex]
#CarryOnLearning
#LetsEnjoyTheSummer
→XxKim02xXA ball from to a planet that has a gravitational acceleration that double that of Earth How does the gravitational force on the new planel c gravitational force on the ball when on Earth?
Answers
Answer:
Explanation:
The gravitational force on the ball when it is on the new planet is double the force on the ball when it is on Earth. The gravitational force on the ball when it is on the new planet is half the force on the ball when it is on Earth.
Light travels through a vacuum at a speed of 3 x 10 m/s. What is the speed of
light in water if the index of refraction is 1.333?
Answers
Answer:
v = c / n (n = 1 for air)
v = c / 1.33 = 3 * 10E8 m/s / 1.33 = 2.25 * 10E8 m/s
Which diagram best represents the electric field around a negatively charged conducting sphere? (See pic)
Answers
The diagram which represents the electric field around a negatively charged conducting sphere is: Image D.
What is an electric charge?An electric charge can be defined as a fundamental, physical property of matter, that typically governs how particles are affected by an electric field or electromagnetic field, especially due to the presence of an electrostatic force.
The electric field around a negatively charged conducting sphere are all attracted to the sphere in accordance with the law of electrostatic forces, as depicted by Image D in the given diagram.
Read more on charge here: brainly.com/question/4313738
how do the conditions in tube c prevent air reaching the iron nail
Answers
Answer:
The conditions stop air from getting to the nail is the oil
Explanation:
A police car is traveling due east at a speed of 15.0 m/s relative to the earth. You are in a convertible following behind the police car. Your car is also moving due east at 15.0 m/s relative to the earth, so the speed of the police car relative to you is zero. The siren of the police car is emitting sound of frequency 500 Hz. The speed of sound in the still air is 340 m/s.
a.) What is the speed of the sound waves relative to you?
b.) What is the wavelength of the sound waves at your location?
c.) What frequency do you detect?
Answers
Answer:
A.) 355 m/s
B.) 0.71 m
C.) 500Hz
Explanation:
Given that a police car is traveling due east at a speed of 15.0 m/s relative to the earth. You are in a convertible following behind the police car. Your car is also moving due east at 15.0 m/s relative to the earth, so the speed of the police car relative to you is zero. The siren of the police car is emitting sound of frequency 500 Hz. The speed of sound in the still air is 340 m/s
a.) What is the speed of the sound waves relative to you?
Since the car is moving away from the observer, the relative velocity will be:
Relative velocity = 340 + 15
Relative velocity = 355 m/s
b.) What is the wavelength of the sound waves at your location?
Using the wave speed formula
V = frequency × wavelength
Make wavelength the subject of formula.
Wavelength = Velocity / frequency
Wavelength = 355/500
Wavelength = 0.71 m
c.) What frequency do you detect?
Fo = Fs ( C + V ) / ( C + v )
Fo = Fs
That is, the frequency of the observer will be equal to the frequency of the source.
Therefore, Fo = 500Hz
help!
the potential difference between two points, a and b, in an electric field is 2.00 volts. the energy required to move a charge of 8.00x10^-19 coulomb from point a to point b is
Answers
Answer:
1.60 x 10^-18 J
Explanation:
we know that, Work done = Voltage x Charge,
hence we get as,
Energy = V x Q
E = 2 x (8.0 * 10^-19)
==> E = 16 x 10^-19
=> E = 16/10 x 10^-18
==> E = 1.60 x 10^-18 J
A force F is exerted at a distance D from the axis of rotation of a wrench and is exerted at an angle θ to the wrench (θ is the angle between the direction of the force and the wrench). What force f could be exerted on the wrench at a distance 2D and perpendicular to the wrench so that the torques created by the two forces are EQUAL. Give your answer in terms of F and θ.
Answers
Answer:
Torque = R X F = R * F sin theta
-f * 2R will exert an equal opposite torque
-f * 2 = F sin theta
f = -F sin theta / 2
Sarah is a 30 year old white female. Her occupation is part time chef. She is recently been divorced and has custody of
her three children. She has extreme changes in her mood that began to appear in her 20's but she never went to
see a
doctor about them. When family tries to talk to her about her upset, she reacts by becoming angry and blaming them
for her situation. She is currently complaining of crying episodes, not eating, headaches, thinking she is a failure,
spending most of her time in bed, and not being interested in activities she once enjoyed doing with her kids, such as
going to the park and seeing movies. Her mother and grandfather also showed signs of mental illness and she
reported that her mom has taken Depakote before, which helped. Sarah wants to open her own restaurant and move to
a bigger house.
1. Please answer the following questions by referring to the above case study and the assigned reading for this
unit:
• What psychological and physical symptoms does Sarah present with?
. What is the primary psychological disorder diagnosis that fits her symptoms based on the disorders
described in the textbook?
Answers
Answer:
how to deal with devoirce
Explanation:
The psychological and physical symptoms that Sarah presents include:
She frequently has headaches.She also has a loss of appetite.She gets angry easily.From the information given, we can infer that some of the symptoms include the fact that Sarah frequently has headaches, loss of appetite, and gets angry easily.
The primary psychological disorder diagnosis that fits her symptoms based on the disorders will be depression. She's depressed because she just got divorced. This has taken a toll on her health.
Read related link on:
https://brainly.com/question/19276767
PLEASE HELP ASAP-SCIENCE EXAM-WILL GIVE BRAINLIEST-NO FILES
Speed can be defined as
A. the rate that something moves and is calculated by taking distance divided by time
B. the distance an object went from one place to another
C. the amount of time an object spends in motion
Answers
Answer:
A. the rate that something moves and is calculated by taking distance divided by time
A healthy person has body temperature 37°c,What is temperature on Fahrenheit scale? Show by calculation.
Answers
Answer:
98.6 degrees Fahrenheit.
Explanation:
Human body temperature is 37.0 degrees Celsius or 98.6 degrees Fahrenheit.