*PLEASE I NEED HELP, WORTH 50 POINTS*
Cart A has mass M and is released from rest at a height 2H on a ramp making an angle 2 with the horizontal, as shown above. Cart B has mass 2M and is released from rest at a height H on a ramp making an angle with the horizontal. The carts roll toward each other, have a head- on collision on the horizontal portion of the ramp, and stick together. The masses of the carts’ wheels are negligible, as are any frictional or drag forces.
a.) Derive an expression to determine the velocity of Cart A in terms of the variables given in the prompt.
b.) Derive an expression to determine the velocity of Cart B in terms of the variables given in the prompt.
c.) Determine the final velocity of the carts after the collision.
d.) Is the collision elastic or inelastic? Justify your answer.
*Answers should only include variables.
Answers
Based on the data provided;
the expression to determine the velocity of cart A is v = 2√ghthe expression to determine the velocity of cart B is v = 2√ghthe final velocity, v of the carts after the collision is v = {(1 - √2/)3} ×√ghthe collision is inelastic collisions because some energy of the entire system is lost when the carts stick together.What are elastic and inelastic collisions?Elastic collisions are collisions in which both energy and momentum is conserved.
Inelastic collisions are collisions in which only momentum is conserved but a decrease in the energy ofthe system occurs.
Applying the law of conservation of energy and the principle of conservation of momentum;
a. the kinetic energy, hence, the final velocity, v, of cart A is related to the change in gravitational potential energy
1/2mv^2 = mgh
v = 2√gh
b. the kinetic energy, hence, the final velocity, v, of cart B is related to the change in gravitational potential energy
1/2mv^2 = mgh
v = 2√gh
c. From the principle of conservation of linear momentum, momentum before and after collision is conserved.
Let the final velocity be v
3M × v = M × 2√gh - 2M × 2√gh
3v = 2(1 - √2) ×√gh
v = {(1 - √2/)3} ×√gh
d. Since the two cars stick together after collision, the collision is inelastic collision.
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Related Questions
Mr Hules is making cookies for his family. A recipe for 24 cookies calls for 4 cups of sugar for every 6 cups of flour. How many cups of flour will he use if he needs to make 60 cookies?
I need the step by step process to
Answers
Answer:
15 cups of flour to make 60 cookies
Explanation:
first, do 60 divided by 25.
then we MULTIPLY the recipe by 2.5
24x2.5=60 amount of cookies
4x2.5=10 cups of sugar
6x2.5=15 cups of flour
15 cups of flour to make 60 cookies
:DDD
Answer:
15 cups of flour
Explanation: 60 times 6 = 360
24x=360
360 divided by 24 is 15.
A 10cm long ,2cm wide wooden wedge is pushed into a soft wood block .calculate :a,velocity ratio of the wedge b,the load on the soft wood if the effort applied is 30N
Answers
The velocity ratio of the wedge is 0.1
The load on the soft wood is 300 N.
Velocity ratio
The velocity ratio of a machine is the ratio of the distance traveled by effort to distance traveled by load.
V.R = distance traveled by effort/distance traveled by load
Let 1 cm of the wood's width = towards rightthen another 1 cm = towards leftV.R = 1 cm/ 10 cm = 1/10 = 0.1
Load on the soft woodThe load on the soft wood is calculated as follows;
[tex]\frac{30}{L} = 0.1\\\\L = \frac{30}{0.1} = 300 \ N[/tex]
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Which phenomenon do solar panels rely on to produce electricity from sunlight?
Answers
Answer:
When the sun shines onto a solar panel, energy from the sunlight is absorbed by the PV cells in the panel. This energy creates electrical charges that move in response to an internal electrical field in the cell, causing electricity to flow.
Answer:
When the sun shines onto a solar panel, energy from the sunlight is absorbed by the PV cells in the panel. This energy creates electrical charges that move in response to an internal electrical field in the cell, causing electricity to flow.
Explanation:
A pendulum is observed to complete 23 full cycles in 58 seconds. Determine the period and
the frequency of the pendulum.
1
Answers
Answer:
Frequency=0.39Hz
Explanation:
A pendulum completes 23 full cycles in 58 seconds
A pendulum completes 1 full cycle in 58/23=2.52 seconds
Time taken(t)=2.52 seconds
Now,
Frequency=1/time taken
Frequency=1/2.25
Frequency=0.39Hz
When a pendulum is observed to complete 23 full cycles in 58 seconds. then the period is 2.521739 and the frequency of the pendulum is 0.39655 S⁻¹
What is the frequency?It can be defined as the number of cycles completed per second.It is represented in hertz and inversely proportional to the wavelength.
The frequency of a pendulum is the reciprocal of the time period can be given by the following relation
f = 1/T
where f is the frequency
T is the time period of the pendulum
As given in the problem that a pendulum is observed to complete 23 full cycles in 58 seconds
Then the number of cycles per second is known as the frequency
f = 23/58
f = 0.39655 S⁻¹
As the time period is reciprocal to the frequency
T= 1/f
T = 1/0.39655
T =2.521739
Thus, if 58 seconds pass before a pendulum completes 23 full cycles. then the pendulum's frequency would be 0.39655 S⁻¹, and its period would be 2.521739.
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name an object that contains all 7 energies, and where those energies are shown.
Answers
Answer:
I don't know what energy is there I think you need to check in you book or note dear
Explanation:
hope you will understand
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On average, how many lunar eclipses are there every year?.
Answers
Answer:
Three lunar eclipses every year.
Explanation:
A lunar eclipse only occurs during a full Moon, when the Sun, Earth and Moon are all aligned. But despite the Moon only taking 29.5 days to orbit Earth and complete a cycle from full Moon to full Moon, there are only on average about three lunar eclipses every year.
At which point is potential energy greatest?
Answers
Answer:
when the most energy is stored
Who was the highest deity in the Shang religion?
A.
Di
B.
Laozi
C.
Shihuangdi
D.
Confucius
Answers
A. Di
Answer:
Shangdi or A: Di
Explanation:
Shangdi was considered to be the supreme deity during the Shang dynasty (1600–1046 century BCE), but during the Zhou dynasty (1046–256 BCE) he was gradually supplanted by heaven (tian).
What exerts pressure in all directions?
Answers
Answer: Gases
Explanation: Gases don't have a certain direction, so they go in all directions.
Box is kicked (given an initial speed), causing it to slide along a level floor. There is friction acting between the box and floor surfaces. What is true about this motion
Answers
Answer:
I would assume that the box slows down due to the frictional force between the floor and the box. In addition, the frictional force points opposite of the boxes motion. As we know, the box was given an initial speed, therefore, having an applied force. Hence, we can conclude that the frictional force opposing the motion of the crate is equal to the applied force but acting in the opposite direction. This frictional force is called static friction. When we increase the applied force (push harder), the frictional force will also increase until it reaches a maximum value.
Hope that helps!
Humans selectively breed cows that produce more meat or milk. This selection is not necessarily helpful
to increase their survival rate. They are just selecting a desirable characteristic. How can growing one
variety affect cows population over many generations?
There will be less genetic diversity in the population.
The cows will produce less milk or less meat over generations.
The cows will be able to survive for a longer time.
There will be more genetic diversity in the population.
Answers
Answer:
The cows will produce less milk or less meat over generations.
According to current scientific estimates, when did the big bang occur?.
Answers
Answer:
13.8 billion years ago
Explanation:
PLEASE HELP!!
A toy truck has a speed of 2 m/s and kinetic energy of 30 J. What is its mass?
A. 10 kg
B. 15 kg
C. 5 kg
D. 20 kg
Answers
Help a brother out pleaseeeeew
Answers
A car that weighs 40,000 N is driving down a hill at a constant velocity. If the car’s momentum is 80,000 kg∙m/s, how fast is the car moving?
Answers
The velocity of the car is equal to 20 m/s.
Given the following data:
Weight of car = 40,000 Newton.Car’s momentum = 80,000 kg∙m/s.Scientific data:
Acceleration due to gravity = 10 [tex]m/s^2[/tex].To determine the velocity of the car:
How to determine the car's velocity.First of all, we would calculate the mass of the car by using this formula:
[tex]Weight = mg\\\\40000=m \times 10\\\\m=\frac{40000}{10}[/tex]
Mass, m = 4,000 kg.
For the velocity:
Mathematically, momentum is giving by this formula;
[tex]Momentum = mass \times velocity[/tex]
Making velocity the subject of formula, we have:
[tex]Velocity = \frac{Momentum}{Mass}[/tex]
Substituting the given parameters into the formula, we have;
[tex]Velocity = \frac{80000}{4000}[/tex]
Velocity = 20 m/s.
Read more on momentum here: brainly.com/question/15517471
How far will an object go if it is moving at a speed of 55 km/hr, and moves for 6.3 hours?
Answers
Answer:
346.5 km
Explanation:
to find distance- multiply speed by time
so 55×6.3= 346.5 km
please mark brainliest
Identifying Independent and Dependent Variables in Experiments
Answers
Answer:
The easiest way to identify which variable in your experiment is the Independent Variable (IV) and which one is the Dependent Variable (DV) is by putting both the variables in the sentence below in a way that makes sense.
“The IV causes a change in the DV. It is not possible that DV could cause any change in IV.”
Explanation:
What would the equipotential lines look like for an infinitely long line charge coming into and out of the paper
Answers
The equipotential lines round the infinitely long line of charge are concentric circles round the line of charge.
Equipotential lineAn equipotential line is a line in which the electric potential is constant
Since the electric field of an infinitely long line of charge is perpendicular to the line of charge. At a given distance from the infinitely long line of charge, the electric field is constant. The electric field is constant within a circle round the line of charge. This circle round the line of charge is an equipotential line.So, equipotential lines round the infinitely long line of charge are concentric circles round the line of charge.
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An insulated lunch bag keeps food warm by
increasing the thermal energy of the lunch bag.
increasing the thermal energy of the food.
slowing the transfer of thermal energy from the air outside the bag to the food inside the bag.
slowing the transfer of thermal energy from the food inside the bag to the air outside the bag.
Answers
Answer:
slowing the transfer of thermal energy from the food inside the bag to the air outside the bag.
Explanation:
Answer:
D
Explanation:
slowing the transfer of thermal energy from the food inside the bag to the air outside the bag.
You and your team of expert engineers are to improve the safety of a section of highway roadway. This is a flat concrete road surface. It is used both by passenger cars (1200 kg) and trucks ( 36,000 kg). The present velocity limit is 15.64 m/s and the radius of turn is 110 m.
The Normal force of each vehicle.
Answers
The normal force of the passenger cars is 11,760 N.
The normal force of the trucks is 352,800 N.
What is normal force?
The normal force of an object is the upward force of the object due to its weight acting downwards.
The normal force of the passenger carsThe normal force of the passenger cars is calculated as follows
Fₙ = mg
Fₙ = 1200 x 9.8
Fₙ = 11,760 N
The normal force of the trucksThe normal force of the trucks is calculated as follows;
Fₙ = mg
Fₙ = 36,000 x 9.8
Fₙ = 352,800 N
Learn more about normal forces here: https://brainly.com/question/14486416
A toy car has a 1. 5 A current, and its resistance is 2 Ω. How much voltage does the car require? V.
Answers
Answer: Voltage = (current) x (resistance)
Voltage = (1.5 A) x (2 ohms)
In order to MAKE 1.5 A of current flow through the toy car, you have to PROVIDE 3 volts from the battery.
Use the picture to identify the part of a wave.
What is D?
Answers
Wait what do you mean what is D? I have no idea what your talking about. Well um... D is the fourth letter or the alphabet.
I have anxiety btw so i don't want to be warned it makes me feel weird or scared.
A bar magnet is immersed in a heap of iron filings and pulled out. The amount of iron filling clinging to the?
(a) North pole is almost equal to the south pole.
(b) North pole is much more than the south pole.
(c) North pole is much less than the south pole.
(d) Magnet will be same all along its length.
Answers
Answer:
(a) North pole is almost equal to the south pole.
Explanation:
the moon revolves around the earth in a
nearly circular orbit kept tere by the gravitational force exerted by the earth what does the gravity do?
Answers
Answer:
Gravity does no work on the Moon
Explanation:
Calculate the acceleration if you push with a 6 N horizontal force on a 8 kg block on a
horizontal friction free air table.
Answers
If the truck has a mass of 2,500 kilograms , what is its momentum ? (V=45m/s) Express your amswer
Answers
Answer:
The answer is 2,500 * 45 = 112500kgm/s
What is the new velocity of a 1140 kg car that was traveling at 13.6 m/s and slams on the brakes losing 5000J of energy?
Answers
Answer:
13.3 m/s
Explanation:
KE = 1/2 m • v^2
KE = 1/2 • 1140 kg • (13.6m/s )^2
KE = 105427.2 J
KE after brakes are slammed = 105427.2 J - 5000 J
KE after brakes are slammed = 100427.2 J
100427.2 J = 1/2 • 1140 • v^2
v = (100427.2 J • 2 / 1140 kg)^1/2
v = 13.3 m/s after adjusting for significant figs
a sound wave coming from a ringing telephone have a frequency of 226 Hz and it’s wavelength is 2 m. what is the speed of the sound wave.
Answers
Answer:
I think this is simple division of the sound wave and the hertz at the same time.
Explanation:
I think you should maybe divide by 2
A billiard ball collides with another billiard ball, transferring all of its kinetic energy. What will happen after the collision
Answers
Answer: If the cue ball strikes a stationary billiard ball straight on, then the cue ball will stop moving after the collision. It will have transferred all of its kinetic energy to the other ball, which will move forward with the same velocity that the cue ball had before the collision.
Explanation:
What is the momentum of a golf ball with a mass of 62 g moving at 73 m/s?
Answers
Explanation:
Momentum = mass × Velocity
p = 62×73
p =4526