(a) The length of the train is 54.6 m
(b) The braking distance of the road train is 194.44 m
The given parameters:
acceleration of the car, a = 3.7 m/s²
initial velocity of the car, u = 30 m/s
final velocity of the car, v = 130 km/h = 36.11 m/s
To find:
the length of the trainThe length of the train is the distance travelled by the car
The distance traveled by the car is calculated as:
[tex]v^2 = u^2 + 2as\\\\2as = v^2 - u^2\\\\s = \frac{ v^2 - u^2}{2a} \\\\where;\\\\s \ is \ the \ distance \ travelled \ by \ the \ car\\\\s = \frac{(36.11)^2 - (30)^2}{2\times 3.7} \\\\s = 54.585 \ m\\\\s \approx 54.6 \ m[/tex]
Thus, the length of the train is 54.6 m
(b) The braking distance of a road train travelling at 25 m s⁻¹
[tex]a = \frac{v_1^2}{2s_1} = \frac{v_2^2}{2s_2} \\\\Given;\\\\s_1 = 70 \ m\\\\v_1 = 15 \ m/s\\\\v_2 = 25 \ m/s\\\\s_2 = ?\\\\2s_2v_1^2 = 2s_1v_2^2\\\\s_2 = \frac{ 2s_1v_2^2}{2v_1^2} \\\\s_2 = \frac{s_1v_2^2}{v_1^2} \\\\s_2 = \frac{70\times 25^2}{15^2} \\\\s_2 = 194.44 \ m[/tex]
Thus, the braking distance of the road train is 194.44 m
Learn more here: https://brainly.com/question/19572178
A soccer ball is kicked horizontally. What is its average speed if its displacement is 21.0 m
after 2.00 s?
Answer:
Below
Explanation:
You can use this formula to find the average speed/velocity
speed = displacement / change in time
Plugging our values in....
speed = 21.0 m / 2.00 s
= 10.5 m/s
Hope this helps! Best of luck <3
The average speed of a soccer ball is 10.5 m/s.
What is speed?Speed is defined as the ratio of the distance moved by the object at a particular time. The unit of speed is measured in the meter per second, miles per hour, etc. The speed of an object is a scalar quantity and does not require any direction to represent it. It only requires magnitude to represent it.
Average velocity is defined as the sum of all the distances traveled by an object to the time taken by the object to cover the total distance.
Given that a soccer ball is kicked horizontally. its average speed if its displacement is 21.0 m after 2.00 seconds will be calculated as below:-
Speed = displacement / change in time
Speed = 21.0 m / 2.00 s
Speed = 10.5 m/s
Therefore, the average speed of a soccer ball is 10.5 m/s.
To know more about speed follow
https://brainly.com/question/4931057
#SPJ2
4. A sprinter begins from rest and accelerates at the rate of 2 m/s2 for 200 m.
a) What is the sprinter's velocity at the end of the 200 m?
b) How long does it take him to cover it?
c) What is his average velocity?
Answer:
v=28.28m/s t=14.14s average velocity =2m/s
Explanation:
Starting at rest the initial velocity is 0 substituting that in the first equation of motion v=u+atgives the final velocity but we first have to determine the time using the third equation of motion which is s=ut+1/2at^2 and then do the substitution. Average velocity is the determined by adding the initial and final velocity then divide it by 2
Round 0.010229 to four sig figs
It would be 0.01023.
0.010229 has 5 sig. fig.'s (leading zeros do not count)
So rounding to 4 sig. fig.'s is just a matter of rounding off the last digit, which leaves you with 0.01023.
en and Karen are travelling for the weekend. They both leave from Jen's house and meet at their destination 250 miles away. Jen drives 45mph the whole way. Karen drives 60mph but leaves a half hour after Jen. How long does it take for Karen to catch up with Jen
Answer:
1 1/2 hours. for Karen to catch Jen.
Explanation:
Karen needs to make up 22.5 km which is the distance Jen travels in 1/2 hour.
The distance where they meet must be equal from the starting point.
Jen
Jen is out 1/2 hour longer.
Let the Karen's time = t
d = r * t
d = 45 * (t + 1/2 hour)
Karen
d = 60 * t
The distances are equal
so
Meeting time
45*(t + 1/2 hour) = 60 * t
45t + 22.5 = 60t Subtract 45t from both sides
22.5 = 15t Divide by 15
t = 22.5 / 15
t = 1 1/2 hours = 1.5 hours.
Now you have to interpret the results.
Remember that Jen has travelled 1/2 hour more than Karen
Her time is 2 hours.
Karen's time is 1.5 hours.
Jen travels 2 hours which is 2 * 45 = 90 miles
Karen travels 1 1/2 hours which is 1.5 * 60 = 90 miles
What is the name given to a celestial object with a known brightness, used to establish distances in astronomy?
How far would a snowmobile travel in 0.5 hours at a rate of 25 km/h?
Answer:12.5 km
Explanation:
0.5=1/2
25 x 1/2 = 12.5 (25 ÷ 2 = 12.5)
Answer:
12.5 km
Explanation:
Distance = Speed x Time
= 25 x 0.5
= 12.5 km
what are the major parts of the ear?
Explanation:
1.The parts of the ear include:
External or outer ear, consisting of: Pinna or auricle. This is the outside part of the ear. ...
2.Tympanic membrane (eardrum). The tympanic membrane divides the external ear from the middle ear.
3.Middle ear (tympanic cavity) , consisting of: Ossicles. ...
4.Inner ear , consisting of: Cochlea.
Explanation:
The major parts of ear are:-
1) Outer ear
PinnaExternal auditory canalTympanic membrane2) Middle ear
MalleusIncusStapes3) Inner ear
CochleaSemicircular canalsVestibuleThe acceleration of a particle is given by a = c1 + c2v, where a is in millimeters per second squared, the velocity v is in millimeters per second, and c1 and c2 are constants. If the particle position and velocity at t = 0 are s0 and v0, respectively, determine expressions for the position s of the particle in terms of the velocity v and time t.
The expression for the position of the particle in terms of velocity and time is given as, s = vt
The given expression:
[tex]a = c_1 + c_2v[/tex]the unit of a = mm/s²the velocity, v = mm/sc₁ and c₂ are constantthe position of the particle at time, t = 0, is s₀ and v₀To find:
The expression for the position s of the particle in terms of the velocity v and time tDetermine the value of the constants from second equation of motion given as:
[tex]s = vt + \frac{1}{2}at^2\\\\substitute \ the \ given \ value \ of \ a\\\\s = vt + \frac{1}{2}(c_1 + c_2v)t^2\\\\s = vt + \frac{1}{2} c_1 t^2 + \frac{1}{2} c_2vt^2\\\\divide \ through\ by \ t^2\\\\\frac{s}{t^2} = \frac{v}{t} + \frac{1}{2} c_1 + \frac{1}{2} c_2v\\\\multiply \ through \ by \ 2\\\\\frac{2s}{t^2} = \frac{2v}{t} + c_1 + c_2v\\\\when \ t = 0\\\\0 = 0 +c_1 + c_2v\\\\c_1 + c_2v = 0\\\\from \ the \ original \ equation;\\\\s = vt + \frac{1}{2} (c_1 + c_2v)t^2\\\\[/tex]
[tex]s = vt + \frac{1}{2}(0)^2\\\\s = vt[/tex]
Thus, the expression for the position of the particle in terms of velocity and time is given as, s = vt
Learn more here: https://brainly.com/question/22935373
Activity log - Chest and Back Record your time and activity below and in your unit fitness log. If a particular category does not apply, leave it blank. Date: Warm-up: Cool-down: Type of Activity: (Cardiovascular, Muscular, or Flexibility) Description of Activity and Time: Intensity Level: (Moderate or Vigorous) Total Time:
Answer:
Muscular and vigorous
Explanation:
Big gains only
Answer:Date: 08/21/21
Warm-up: 5 minutes
Cool-down: 1 minute
Type of Activity: Muscular
Description of Activity and Time: push up, and repetitions 10 minutes
Intensity Level: Moderate
Total Time:16 minutes
Explanation:
Physical Science Essential Question: How can the scientific process be used to help us investigate and understand natural phenomena? Elaborate: Challenge students to pretend they are on the scientific journey to develop a vaccine to stop the zombie apocalypse and they need to design an experiment as a result of working in a laboratory. Ask the students to write 2-3 paragraphs describing what they would test and why might this be important in science and the real world. They might need to include the following terms: Experimental design
Test variable
•Outcome
•Control variable
•Hypothesis
•Testable
•Graphs and charts
Answer:
It C 100% bc i alrweady learn this
what colors are included in our visible spectrum?
ALL colors are in the visible spectrum.
"Color" is a word we use to describe light that our eyes can detect. If the light has a "color", that means we can see it, and somebody gave it a name. If we can't see it, then we don't have a "color" to describe it.
Every color that has ever been perceived by human eyes is present in the humanly-visible spectrum, except "black".
There are at least hundreds of them. Probably thousands. Maybe millions.
The Colours that are included in visible spectrum are - 7 Colours namely :
Red Orange yellowgreen blueindigovioletExplanation:
when white light passes through a prism , the violet light bends most and the red light bends the least.Dispersion of light is the phenomenon of splitting of white light into its constituent seven colours on passing through a glass prism.The band of seven Colours so obtained is called visible spectrum.The seven Colours of white light are Violet, indigo , blue, green , yellow, orange and red . It is remembered by the acronym - VIBGYOR.
what is displacement
Answer:
finding the volume of an irregular shape
A glacier advances at 8 x 10-6 cm/s.
How far will it move in 6.6 y?
Answer in units of cm
BRAINLIEST PLS HELP
Imagine that you tested 20 high school students (15 male, 5 female). Twelve males and four females reported feeling a calming effect after exposure to the color blue.
In two to three sentences, explain what conclusions could be drawn from this information.
Answer:
Answer:
Explanation:
It means that out of 20 students, 3 males and 1 female were digital screen addicts because they were getting dangerous amount of blue light. Thus couldn't feel calming sensation that a human feels while seeing blue light. The rest students were getting balanced blue light. So they were getting relaxed feeling while being exposed to blue light.
una estación meteorológica informa que hay olas a lo largo de la costa con una separación de 8 segundos. por tanto, la frecuencia de ola es de...
Answer:
si
Explanation:
A ball rolled at a speed of 3m/s for 2.5s. How far did it travel?
Answer:
7.5 m
Explanation:
speed = distance/time
=> speed × time = distance
=> (3 m/s) × (2.5 s) = distance
=> 7.5 m = distance
Help would be very appreciated :)
Answer:
c. is the answer i think
Explanation:
Answer:
d. is the the naswer I'm sure with it and not much sure but it would be ryt option
a heat engine gives out 400J of heat energy as the useful work.calculate the energy given to it as input if its efficiency is 40%?
Answer:
E(efficiency) = E(out) / E(in)
.4 = 400 J / E (in)
E (in) = 1000 J
Heat input : 1000J
What is efficiency of a heat engine ?
The efficiency of a heat engine is defined as the ratio of work done by the heat engine absorbed per cycle.
Given : work output = 400 J
Efficiency = 40 % = 0.4
heat input = ?
Efficiency = work output / heat input
0.4 = 400/heat input
heat input : 1000J
Learn more about efficiency of heat engine :
https://brainly.com/question/15735984?referrer=searchResults
#SPJ2
slove these question
Answer:
the answer would be left side a to right side b left side b to left side c left side c to left side d left side d to right side e
Explanation:
What is the relationship between the number of resistors ,the effective resistance of the circuit and the total current in parallel
Answer:
As more and more resistors are added in parallel to a circuit, the equivalent resistance of the circuit decreases and the total current of the circuit increases. Adding more resistors in parallel is equivalent to providing more branches through which charge can flow.
A STONE IS THROWN VERTICALLY UPWARD WITH THE VELOCITY 25/s HOW LONG DOES IT TAKES TO REACH THE MAXIMUM HEIGHT?
Answer:
time taken to reach maximum height is 2.548 sec and Maximum height is 31.855 m
Explanation:
Initial velocity U= 25 m/s
at maximum height velocity, V= 0 m/s
Let the time taken to reach maximum height be t and maximum height be H.
V= U-gt
so 25-9.81.t=0
therefore t= 25/9.81 = 2.548 sec
Now,
H= Ut-1/2(gt^2)
=25x2.548-0.5x9.81x(2.548^2)
=31.855 m
Thank you
Any two waves that meet as they travel through the same medium will interact. If the two waves are in phase their crests will coincide and they will experience _____ interference, producing a wave with a(n) _____ amplitude.
Answer:
constructive
alpitude
Is the earth flat or round or a donut?
what is the value of acdeleration due to gravity on the surface of the moon and on the surface of the eatrh
Answer:
Explanation:
moon is 1.6metre per second and earth is 9.8 meters per second square
Have a nice day bye
What is Measurement?
Answer:
Measurement is a comparison of an unknown quantity with a known fixed quantity of the same kind. The value obtained on measuring a quantity is called its magnitude. Magnitude of a quantity is expressed as numbers in its units.Explanation:
measurement is necessary to express the amount or rate of any physical quantity
state the factors that affect tha gravitational force
Explanation:
1. Mass of an object
2. Distance between the objects
Answer:
When dealing with the force of gravity between two objects, there are only two things that are important – mass, and distance. The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them.
Explanation:
PLEASE let me know you are satisfied with my answer or not☺☺
Rearrange the equation below with the required unknown becoming the subject
a. V as subject
b. U as subject
c. a as subject
d. S as subject
Answer:
a.
[tex] {v}^{2} = {u}^{2} + 2as \\ v = \sqrt{ {u}^{2} + 2as} [/tex]
b.
[tex] {v}^{2} = {u}^{2} + 2as \\ {u}^{2} = {v}^{2} - 2as \\ u = \sqrt{ {v}^{2} - 2as} [/tex]
c.
[tex] {v}^{2} = {u}^{2} + 2as \\ 2as = {v}^{2} - {u}^{2} \\ a = \frac{ {v}^{2} - {u}^{2} }{2s} \\ \\ a = \frac{ {v}^{2} }{2s} - \frac{ {u}^{2} }{2s} [/tex]
d.
[tex] {v}^{2} = {u}^{2} + 2as \\ 2as = {v}^{2} - {u}^{2} \\ s= \frac{ {v}^{2} - {u}^{2} }{2a} \\ \\ s = \frac{ {v}^{2} }{2a} - \frac{ {u}^{2} }{2a} [/tex]
I hope I helped you^_^
12. A measuring cylinder has 150ml. of water in it. When a stone is immersed into the measuring cylinder, the water level raised to 210cm. What is the volume of the stone?
Answer:
60ml
Explanation:
I'm going to assume you mean 210ml not centimeters. To find the volume all we do is subtract both values or with the formula [ f - i = v ] where f = final amount and i = initial amount.
210 - 150 = 60ml
Best of Luck!
The final level of water should be = 210
[tex] {cm}^{3} [/tex]
or 210 ml
━━━━━━━━━━━━━
Given:.Initial level of water = 150mlFinal level of water = 210 ml━━━━━━━━━━━━━
Need to find:Volume of stone =?━━━━━━━━━━━━━
Solution:The volume of stone will be equal to the change in level of water.
that's,
210 - 150 [tex] {cm}^{3} [/tex]
= 60[tex] {cm}^{3} [/tex]
Hence the volume of the stone is 60 [tex] {cm}^{3} [/tex]
if a body covers a distance of 25m in a straight line in 5sec ,calculate the averge velocity of the body
Displacement (s)=25m
Time taken (t)=5 sec
Average Velocity (v)= ?
now,
v= d÷ t
v= 25m÷ 5
v= 5m/s
Answer:
[tex]displacement= 25m \\ time = 5 \: sec \\ avarage \: velocity = \frac{displacement}{time} \\ = \frac{25}{5} = 5 \frac{m}{sec} \\ thank \: you[/tex]
Which elements are in the same column (above or beneath) oxygen?
Answer:
Bismuth And Nitrogen
Explanation:
Because they have the same number of Valence Electrons
Answer:
There is nothing above oxygen but beneath there is sulfur as shown in the figure.