Answer:
[tex]D_T=18.567m[/tex]
Explanation:
From the question we are told that:
Acceleration [tex]a=8.0 m/s^2[/tex]
Displacement [tex]d=1.05 m[/tex]
Initial time [tex]t_1=6.0s[/tex]
Final Time [tex]t_2=2.5s[/tex]
Generally the equation for Velocity of 1.05 travel is mathematically given by
Using Newton's Law of Motion
[tex]V^2=2as[/tex]
[tex]V=\sqrt{2*6*1.05}[/tex]
[tex]V=4.1m/s[/tex]
Generally the equation for Distance traveled before stop is mathematically given by
[tex]d_2=v*t_1[/tex]
[tex]d_2=3.098*4[/tex]
[tex]d_2=12.392[/tex]
Generally the equation for Distance to stop is mathematically given by
Since For this Final section
Final velocity [tex]v_3=0 m/s[/tex]
Initial velocity [tex]u_3=4.1 m/s[/tex]
Therefore
Using Newton's Law of Motion
[tex]-a_3=(4.1)/(2.5)[/tex]
[tex]-a_3=1.64m/s^2[/tex]
Giving
[tex]v_3^2=u^2-2ad_3[/tex]
Therefore
[tex]d_3=\frac{u_3^2}{2ad_3}[/tex]
[tex]d_3=\frac{4.1^2}{2*1.64}[/tex]
[tex]d_3=5.125m[/tex]
Generally the Total Distance Traveled is mathematically given by
[tex]D_T=d_1+d_2+d_3[/tex]
[tex]D_T=5.125m+12.392+1.05 m[/tex]
[tex]D_T=18.567m[/tex]
A 4kg and 5kg bodies moving on a frictionless horizontal surface at a velocity of ( -6i )m/s and ( +3 )m/s respectively. Collide a head on elastic collision. What is the velocity ( magnitude and direction) of the each body after collision?
Answer:
4 kg → +4 m/s
5 kg → -5 m/s
Explanation:
The law of conservation of momentum states that:
m₁v₁ + m₂v₂ = m₁v₁' + m₂v₂'left side → velocities before collisionright side → velocities after collisionYou'll notice that we have two missing variables: v₁' & v₂'. Assuming this is a perfectly elastic collision, we can use the conservation of kinetic energy to set the initial and final velocities of the individual bodies equal to each other.
v₁ + v₁' = v₂ + v₂'Let's substitute all known variables into the first equation.
(4)(-6) + (5)(3) = (4)v₁' + (5)v₂' -24 + 15 = 4v₁' + 5v₂' -9 = 4v₁' + 5v₂'Let's substitute the known variables into the second equation.
(-6) + v₁' = (3) + v₂' -9 = -v₁' + v₂' 9 = v₁' - v₂'Now we have a system of equations where we can solve for v₁ and v₂.
-9 = 4v₁' + 5v₂' 9 = v₁' - v₂'Use the elimination method and multiply the bottom equation by -4.
-9 = 4v₁' + 5v₂' -36 = -4v₁' + 4v₂'Add the equations together.
-45 = 9v₂'-5 = v₂'The final velocity of the second body (5 kg) is -5 m/s. Substitute this value into one of the equations in the system to find v₁.
9 = v₁' - v₂'9 = v₁' - (-5) 9 = v₁' + 5 4 = v₁'The final velocity of the first body (4 kg) is 4 m/s.
We can verify our answer by making sure that the law of conservation of momentum is followed.
m₁v₁ + m₂v₂ = m₁v₁' + m₂v₂' (4)(-6) + (5)(3) = (4)(4) + (5)(-5)-24 + 15 = 16 - 25 -9 = -9The combined momentum of the bodies before the collision is equal to the combined momentum of the bodies after the collision. [✓]
the magnetic field at a certain point next to a wire carrying 10.0 A of current is 4.20x10^-5 T. what is the field at that point when the current is 20 A
Answer:
B=8.40x10^-5 T
Explanation:
To find the magnetic field at the new current, first you need to find the distance. To do so, alter the original equation from finding the field to finding the distance.
r (distance) = 4 pi x 10^-7 / 2 pi multiplied by 10.0 / 4.20 x 10^-5
which equals 0.04762
Next, just plug the numbers back into the original equation, taking into account the requested changes.
which equals 8.40x10^-5
Also it was right on Acellus ;)
Hope this helps :)
If a roller-coaster car has 40,000 J of gravitational potential energy when at rest on the top of a hill, how much kinetic energy does it have when it is ½ of the way down the hill?
=============================================
Work Shown:
PE = potential energy
KE = kinetic energy
m = mass
g = acceleration of gravity
h = height of the object
PE = m*g*h = 40,000 joules
---------
If the car is halfway down the hill, then that means the height of the car is h/2 instead of h
We can then say:
m*g*(h/2) = (m*g*h)/2 = (40,000)/2 = 20,000 J
is the amount of potential energy at this location. The amount of kinetic energy must be the remaining amount that adds to this, to get 40,000 J again.
Put another way: The 40,000 J of PE to start off with, when KE = 0, means we have a total energy of 40,000 J
---------
So,
PE+KE = total energy
PE+KE = 40,000 J
20,000 J + KE = 40,000 J
KE = (40,000 J) - (20,000 J)
KE = 20,000 J when the car is halfway down the hill.
What if the World turned to Gold?
Answer:
We would all freeze at close to absolute zero and gold will not be worth anything
Explanation:
Moving along the elevtromagnetic spectrum from low frequency to high frequency, what , if anything, happens to the wavelength?
wavelength get longer
wavelength remains constant
the wavelengths get shorter
wavelength eventually disappear altogether
Explanation:
the wavelengths get shorter
ik its a lot but can u help
Answer:
your correct ans is D.
object float in liquid when its density is less than liquid and sinks when its density is more than liquid..
stay safe healthy and happy.Homer Agin leads the Varsity team in home runs. In a recent game, Homer hit a 34.5 m/s sinking curve ball head on, sending it off his bat in the exact opposite direction at 23.9 m/s. The actually contact between ball and bat lasted for 0.00075 seconds. Determine the magnitude of the average acceleration of the ball during the contact with the bat in m/s/s. Do not include units or /- sign. Round your answer to a whole number.
Answer:
–77867 m/s/s.
Explanation:
From the question given above, the following data were obtained:
Initial velocity (u) = 34.5 m/s
Final velocity (v) = –23.9 m/s
Time (t) = 0.00075 s
Acceleration (a) =?
Acceleration is simply defined as the rate of change of velocity with time. Mathematically, it is expressed as:
Acceleration = (final velocity – Initial velocity) /time
a = (v – u) / t
With the above formula, we can obtain acceleration of the ball as follow:
Initial velocity (u) = 34.5 m/s
Final velocity (v) = –23.9 m/s
Time (t) = 0.00075 s
Acceleration (a) =?
a = (v – u) / t
a = (–23.9 – 34.5) / 0.00075
a = –58.4 / 0.00075
a = –77867 m/s/s
Thus, the acceleration of the ball is –77867 m/s/s.
which answer is it??
Answer:
hmm...
Explanation:
Answer: wave a has the higher ampllitude while wave b has the lower amplitude.
Explanation:
wave a has the amplitude of 4 while wave b has the amplitude of one
What is meant by denser medium?
Explanation:
jdjdjdkdixnxkakdjxjsjwosk
20 POINTS:
Why does the initial hill of a roller coaster need to be steep?
Answer: A roller coaster does not have an engine to generate energy. The climb up the first hill is accomplished by a lift or cable that pulls the train up. This builds up a supply of potential energy that will be used to go down the hill as the train is pulled by gravity
Hope this helps! Good luck with future homework and exams!
What does the geology of the two continents indicate about past events in Earth history?
Answer:
Explanation:
Rocks tell us a great deal about the Earth's history. Igneous rocks tell of past volcanic episodes and can also be used to age-date certain periods in the past. Sedimentary rocks often record past depositional environments (e.g deep ocean, shallow shelf, fluvial) and usually contain the most fossils from past ages.
The chemical bonds in sugar, is that potential or kinetic energy?
Answer:
If something has atoms that are bound together in covalent bonds like sugar, it usually has potential energy or chemical energy. Because potential energy is often stored in covalent bonds that hold atoms together in the form of molecules.
If there are 1,600 meters in a mile, find the speed of sound in this experiment in units of "miles / hour"
Answer:
v = 771.75 mile / h
Explanation:
The speed of sound is v = 343 m / s at T= 20C
the transformation ratios are
1 mile = 1600 m
1 h = 3600 s
Let's reduce
v = 343 m / s (1 mile / 1600 m) (3600 s / 1 h)
v = 771.75 mile / h
Physics class, need hell
Answer:
325.76 revolutions
Explanation:
The tire radius is diameter/2: 42/2 = 21
And now we can discover the lenght of the tire circumference. The lenght of a circumference is given by 2×radius×π, and let's consider π=3.14, and let's use the radius in meter (21 cm = 0.21 m):
2•0.21•3.14 = 1.32 m of lenght
Now, you divide the distance the car moved by the lenght of the tire circumference and you will find how many revolutions the tire makes:
420/1.32 = 325.76
se lanza un cuerpo desde el origen con velocidad horizontal de 40 m/s, y con un ángulo de 60º. calcular la máxima altura y el alcance horizontal.
Answer:
1. [tex]h = 244.8 m[/tex]
2. [tex]x = 564.8 m[/tex]
Explanation:
1. La altura máxima se puede calcular usando la siguiente ecuación:
[tex] v_{f}^{2} = v_{0}^{2} - 2gh [/tex] (1)
Where:
[tex]v_{f_{y}}[/tex]: es la velocidad final = 0 (en la altura máxima)
[tex]v_{0_{y}}[/tex]: es la velocidad inicial horizontal en "y"
g: es la gravedad = 9.81 m/s²
h: es la altura máxima =?
La velocidad incial en "y" se puede calcular de la siguiente manera:
[tex] tan(\theta) = \frac{v_{0_{y}}}{v_{0_{x}}} [/tex]
[tex] v_{0_{y}} = tan(60)*40 m/s = 69.3 m/s [/tex]
Resolviendo la ecuación (1) para "h" tenemos:
[tex]h = \frac{v_{0_{y}}^{2}}{2g} = \frac{(69.3 m/s)^{2}}{2*9.81 m/s^{2}} = 244.8 m[/tex]
2. Para calcular el alcance horizontal podemos usar la ecuación:
[tex]x = v_{x}*t[/tex]
Primero debemos encontrar el tiempo cuando la altura es máxima ([tex]v_{f_{y}}[/tex] = 0).
[tex] v_{f_{y}} = v_{0_{y}} - gt [/tex]
[tex] t = \frac{v_{0_{y}}}{g} = \frac{69.3 m/s}{9.81 m/s^{2}} = 7.06 s [/tex]
Ahora, como el tiempo de subida es el mismo que el tiempo de bajada, el tiempo máximo es:
[tex] t_{m} = 2*7.06 s = 14.12 s [/tex]
Finalmente, el alcance horizontal es:
[tex]x = 40 m/s*14.12 s = 564.8 m[/tex]
Espero que te sea de utilidad!
Does a feather fall as fast as a rock in a vacuum? If so why?
Answer:
No.
Explanation:
A feather is less dense and thus less force exerted while a rock is very dense thus exerting more force .
Jorge tightens a bolt on his bicycle with a wrench that is 0.20 m long. If he pulls perpendicularly on the end of the wrench with a force of 140 N, how much torque does he apply ?
Answer:
28Nm
Explanation:
Torque is expressed as the prduct of force and radius
Given
Force = 140N
radius = 0.20m
Torque = 140 * 0.2
Torque = 140 * 1/5
Torque = 28Nm
Hence the amouunt of torque applied is 28Nm
A 1 km long train passes through a 2km long tunnel .
How much time does it take to pass it completely
“GIVEN SPEED OF TRAIN = 1KM/Hr”
Answer:
If the tunnel is straight, it will have 2 hours to pass through it
Explanation:
Train speed distance time
1km/hr. 1km. 1hr. 1km/hr. 2km. 2hr
(answer only if you know the answer or I'll report) Help me please solve it w steps
X component of force Fx=Fcos45=50×cos×45
Y component of force Fy=Fsin45=50×sin×45
The point A on the above graph is an example of
extrapolation
variation
interpolation
average method
Answer:
Interpolation
Explanation:
The graph shows that it falls between 2 values and interpolation means that you estimate the unknown values that fall between the 2 values. Hope this helps!
The data point A is between two given data points and it lies within the line connecting the data points, thus we can conclude that point A is an example of interpolation.
Extrapolation is the process of extending a line connecting the data points beyond the given data points to make inferences based on the previous trend of the data set. This helps us to understand what will happen in the future if the trend continues in the same manner.
Interpolation is the process of determining an unknown variable between two known variables. In this process the data point is located within the line connecting the data points.
In this given graph, the data point A is between two given data points and it lies within the line connecting the data points, thus we can conclude that point A is an example of interpolation.
Learn more here: https://brainly.com/question/11958294
sally was trying to create a model the represents the composition of the galaxy. In her model, she needs to distinguish galaxies from other systems of celestial objects. which of the following best describes the composition of a galaxy?
Answer:
Planets, moons, asteroids and sun
A forensics investigator discharged an assault rifle-replica such that the bullet fired at an angle of 30 (degrees) off the horizontal with an initial velocity
of 28
m/s northwest. What is the maximum height the bullet will reach?
O 14 m/s
10 m
O 30 km
O 0.4351 seconds
Answer:
Initial y-component of speed
Vy = 28 * sin 30 = 14 m/sec vertically
1/2 m Vy^2 = 2 m g h conservation of energy of y-component
h = Vy^2 / (2 * g) = 14^2 / (2 * 9.8) = 10 m
the degree of hotness and coldness of th body is.......
Answer:
Explanation:
The degree of hotness and coldness of the body is called temperature.
A beam of light hits a mirror at an angel of 35 degrees. What is the angel that it bounces off at?
a. 55 degrees
b. 35 degrees
c. 90 degrees
Answer:
c
Explanation:
light refraction is a right angle
pls help will mark brainliest, pls
Answer:
The answer is true. This is correct.
If 150 Joules of work is needed to move a box 1000 cm, calculate the force that was used?
Answer:
[tex] \large{ \tt{☄ EXPLANATION}} : [/tex]
We're provided : Work ( W ) = 150 J & Displacement ( D ) = 1000 cm & We're asked to find out the force that was used. Firstly, Notice that we're provided the unit of Displacement as centimetre so we have to convert 1000 cm into m. Displacement ( D ) = [tex] \frac{1000}{ 100} = 10[/tex] m[tex] \large{ \tt{♡ \: LET'S \: GET \: STARTED}} : [/tex]
Work is defined as the product of force and Displacement. By definition ,[tex] \large{ \boxed{ \tt{❃ \: WORK ( \: W \: ) = FORCE\: ( \: F) \times DISPLACEMENT \: ( \: D \: )}}}[/tex]
- Plug the values and then simplify !
[tex] \large{ \bf{↦ \: 150 = F \times 10}}[/tex]
[tex] \large{ \bf{↦F\times 10 = 150}}[/tex]
[tex] \large{ \bf{↦ \: F = \frac{150}{10}}} [/tex]
[tex] \large {\bf{↦F = \boxed{ \bf{15} \: N}}}[/tex]
[tex] \boxed{ \boxed{ \large{ \tt{✤ \: OUR \: FINAL \: ANSWER : \boxed{ \bf{15 \: n}}}}}}[/tex]
KEEP READING , KEEP STUDYING , KEEP WORKING , KEEP PUSHING , KEEP TAKING CARE OF YOURSELF. YOUR HARD WORK WILL PAY OFF ! ♪ツ Hope I helped ! ۵
☪ Have a wonderful day / evening ! ☼
# StayInAndExplore ! ☂
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
On what factors does critical velocity depend on
Explanation:
The critical velocity is that velocity of liquid flow, up to which its flow is streamlined (laminar)& above which its flow becomes turbulent. It's denoted by Vc & it depends upon: Coefficient of viscosity of liquid (η) Density of liquid. Radius of the tube.
An obect is placed 20cm from a convex mirror of focal length 12cm. where does the image form?
Answer:
7.5 cm behind the mirror
Explanation:
Applying,
Using the real is positive convection: All real distance from the mirror are positive
1/f = 1/v+1/u................. Equation 1
Where f = focal length of the mirror, v = image distance, u = object distance
From the question,
f = -12 cm, u = 20 cm
substitute these value into equation 1
1/(-12) = (1/20)+1/v
(-1/12)-(1/20) = 1/v
1/v = (-5-3)/60
1/v = -8/60
v = -60/8
v = -7.5 cm
Hence the image is formed 7.5 cm behind the mirror.
Which of the following has the most kinetic energy?
A. A 25-kg fish tank sitting on a table
B. A 50-g fish swimming in a fish tank
C. A 7,500-kg car parked on a steep hill
D. A 50-kg Boulder suspended from a cliff
Answer:
The answer is B
Explanation:
Only things that are moving have kinetic energy, therefore B is the only correct answer
What would the axes be labelled on a graph that allows you to calculate VELOCITY?