*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.
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.
Learn more about elastic and inelastic collisions at: https://brainly.com/question/7694106
How can a simple machine make it easier to lift a refrigerator?
Select one:
a. It reduces the total amount of work needed to lift a refrigerator.
b. It reduces the force needed to lift the refrigerator.
c. It reduces the distance needed to move the refrigerator.
d. It increases the force needed to lift the refrigerator.
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
The Correct choice is A
It reduces the total amount of work needed to lift a refrigerator
In terms of orbit, the earth is to the sun as what is to the earth?.
Answer: The motion of the earth around the sun in its orbit is known as revolution. The earth takes 365.26 days to complete one revolution. The different seasons we experience in a year are a result of this revolution. At the same time, the earth's motion about its own axis has termed the rotation of the earth.
Explanation:
Think back to when you were a kid riding in the backseat of the car. Maybe you once had a milkshake in your hand when your mom hit the brakes. You were secured by your seat belt, but you jer-ked forward and the milkshake splashed all over the front seat…and your mom. That situation probably never happened to you. But think about something that has happened to you physically—a fall, a jump, an accident, or something you may have done hundreds of times in your favorite sport. Analyze the action and describe it in terms of Newton’s laws. Identify the initial conditions and the forces involved. If the action is a sequence of events, analyze it step by step. The more complex the sequence of events, the better!
Answer:
In Newton’s first law, an object at rest remains at rest until an external force isapplied. When I play soccer, the soccer ball will be at rest on the field (the initial condition) andremain in that spot on the field until I kick it (my muscles applying an external force to the ball).According to Newton’s second law, force = mass x acceleration (F=ma). When I kick the resting soccer ball, which has a given mass, it will accelerate in the direction that I kick it. From the equation, acceleration = force divided by mass. Therefore, since the mass of the soccer ball is fixed, the stronger my leg is and the more force I can apply to the ball, the faster it willaccelerate.According to Newton’s first law, an object in motion remains in motion until an external force isapplied. After I kick the soccer ball, it will continue in motion in the direction that I kicked it,but its acceleration will gradually slow down due to the external forces of friction from the airand the surface of the field. According to Newton’s third law, for every action there is an equal and opposite reaction.When I kick the soccer ball forward, if I also kick it in an upward direction, such as a thirty-degree angle from the field, it will come down at an angle when it strikes the field. When theball lands and strikes the field, there will be an equal and opposite reaction whereby instead oftraveling downward it will bounce of the surface of the field and will then be travelling upward.
-
Question 8 of 10
Which chronic disease is related to poor die
A Diabetes
El Asthme
c. Lung cancer
O Engliysema
Answer:
diabetes,because you eat same food everyday you don't have other vitamins
what are overtones? how are they related to the quality of a sound
1. What is the net force required to accelerate a 1500 kg race car at 3m/s??
Answer:
4500 N
Explanation:
We have,
• Mass, m = 1500 kg
• Acceleration, a = 3 m/s²
We have to find force required, F.
[tex]\longrightarrow[/tex] F = ma
[tex]\longrightarrow[/tex] F = 1500 × 3 N
[tex]\longrightarrow[/tex] F = 4500 N (Answer)
Overgrazing occurs when farm animals, like cows, sheep, and horses, eat all the plants on an area of land. When all of the plants have been eaten, the soil is left bare as is shown in the picture below.
Since overgrazing removes the plants that help hold the soil in place, overgrazing can cause increased _______.
A.
rainfall
B.
erosion
C.
snow
D.
wind
Answer:
erosion
Explanation:
because i just got it right on study island
Can anyone please explain the solution to this problem?
Answer:
the mass will move to the right
Explanation:
it is asking for the centre of mass of the block and triangle since the block is moving down toward the right the mass will change to move right
2. What are the SI units of speed? What are the SI units of velocity?
S = Distance/ Time
= m/s
Same for velocity but instead of distance displacement takes place
S = Displacement/ Time
= m/s
Antwon made a table to study some simple machines. A 2-column table with 4 rows titled Types of Simple Machines. The first column labeled name has entries screw, pulley, wheel and axle, inclined plane. The second column labeled description has entries holds things together, can also be used to lift objects, has threads that look like an inclined plane spiralling around it; consists of a grooved wheel and rope, changes direction of force, can be used to lift objects; consists of 2 circular objects, reduced friction when object is being moved; decreases the distance and decreases the amount of force needed, can be used to lift objects. Which best describes how to correct the error in the table? Remove "can also be used to lift objects" from the description of a screw. Add "looks like two inclined planes placed back-to-back" to the description of a wheel and axle. Move "reduces friction when object is being moved" to the description of a pulley. Change "decreases distance" to "increases distance" in the description of an inclined plane.
Answer:
D) Change "decreases distance" to "increase distance" in the description of an inclined plane.
Explanation:
Sorry I'm late to answer your question!
ଘ(੭ˊᵕˋ)੭* ੈ✩‧₊˚
I did the quiz on edge recently
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 not include numbers, only variables.
a) The expression to determine the velocity of cart A is [tex]v_{A} = 2\cdot \sqrt{g\cdot H}[/tex].
b) The expression to determine the velocity of cart B is
[tex]v_{B} =\sqrt{2\cdot g\cdot H }[/tex].
c) The final velocity of the carts after the collision is [tex]v = \left(\frac{1-\sqrt{2}}{3} \right)\cdot \sqrt{g\cdot H}[/tex].
d) The collision is inelastic since a part of the energy of the entire system is lost when they stick together.
Study of an inelastic collisionIn this question we shall apply principle of energy conservation and principle of linear momentum conservation to model an inelastic collision between two carts.
a) The combination of cart and ramp can be considered a conservative system as there are no non-conservative forces (i.e. friction), the final velocity of cart A ([tex]v_{A}[/tex]) is related to the change in gravitational potential energy:
[tex]\frac{1}{2}\cdot M\cdot v_{A}^{2} = M\cdot g \cdot 2\cdot H[/tex] (1)
Now we clear [tex]v_{A}[/tex] and simplify the resulting expression:
[tex]v_{A} = 2\cdot \sqrt{g\cdot H}[/tex]
The expression to determine the velocity of cart A is [tex]v_{A} = 2\cdot \sqrt{g\cdot H}[/tex]. [tex]\blacksquare[/tex]
b) We apply the same approach used in part b) to find the final velocity:
[tex]\frac{1}{2}\cdot (2\cdot M) \cdot v_{B}^{2} = (2\cdot M)\cdot g \cdot H[/tex] (2)
Now we clear [tex]v_{B}[/tex] and simplify the resulting expression:
[tex]v_{B} =\sqrt{2\cdot g\cdot H }[/tex]
The expression to determine the velocity of cart B is
[tex]v_{B} =\sqrt{2\cdot g\cdot H }[/tex]. [tex]\blacksquare[/tex]
c) The final velocity ([tex]v[/tex]system is determined by principle of linear momentum conservation:
[tex]3\cdot M\cdot v = M\cdot 2\cdot \sqrt{g\cdot H}-2\cdot M\cdot \sqrt{2\cdot g\cdot H}[/tex]
[tex]3\cdot v = 2\cdot (1-\sqrt{2})\cdot \sqrt{g\cdot H}[/tex]
[tex]v = \left(\frac{1-\sqrt{2}}{3} \right)\cdot \sqrt{g\cdot H}[/tex]
The final velocity of the carts after the collision is [tex]v = \left(\frac{1-\sqrt{2}}{3} \right)\cdot \sqrt{g\cdot H}[/tex]. [tex]\blacksquare[/tex]
d) The collision is inelastic since a part of the energy of the entire system is lost when they stick together. [tex]\blacksquare[/tex]
To learn more on collisions, we kindly invite to check this verified question: https://brainly.com/question/13876829
When the mass of the object decreases, explain the effect that change in mass has on the potential and kinetic energy of the object.
When the mass of the object decreases, the potential and kinetic energy of the object also decreases.
WHAT IS KINETIC AND POTENTIAL ENERGY?Kinetic energy is the energy due to the motion of an object while potential energy is the energy due to rest of an object.
The kinetic and potential energy are calculated as follows:
K.E = ½ × mass × velocity ²P.E = mass × acceleration due to gravity × heightTherefore, when the mass of the object decreases, the potential and kinetic energy needed to make it move or be at rest respectively also decreases.
Learn more about kinetic and potential energy at: https://brainly.com/question/12661826
The approximate age of the universe is estimated to be:.
Answer:
about 13.8 billion years old
PLZZ HELPPP according to the article, which of the following organisms were NOT impacted by the rabbit population?
pig-footed bandicoot
humans
eremophila plant
kangaroo
Answer:
Kangaroo should be the answer.
Answer:
Kangaroo So there's your answer
Explanation:
Their numbers became so large that they destroyed crops and land, leading to soil erosion. They also negatively affected agriculture and plants by overgrazing. Not only did the rabbits wreak havoc on Australian croplands, but they also contributed to the decline of native plant and animal species.
8. An object accelerates 12.0 m/ s? when a force of 6.0 newtons is
applied to it. What is the mass of the object?
9. An object accelerates 5.0 m/ 5? when a force of 20.0 newtons is
applied to it. What is the mass of the object?
10. An object accelerates 2.0 m/ s2 when a force of 12.0 newtons is
applied to it. What is the mass of the object?
11. An object accelerates 7.2 m/ s? when a force of 4.0 newtons is
applied to it. What is the mass of the object?
12. An object accelerates 16.3 m/ s2 when a force of 4.6 newtons is
applied to it. What is the mass of the object?
13. An object with a mass of 2.0 kg has a force of 4.0 newtons applied
to it. What is the resulting acceleration of the object?
14. An object with a mass of 5.0 kg has a force of 20.0 newtons appiled
to it. What is the resulting acceleration of the object?
15. An object with a mass of 20.0 kg has a force of 5.0 newtons applied
to it. What is the resulting acceleration of the object?
Answer:
So sorry I found the answer a while ago but forgot!
Explanation:
Jill applies a force of 250 N to a machine. The machine applies a force of 25 N to an object. What is the mechanical advantage of the machine? 0. 1 10 225 275.
Mechanical advantage is defined as the ratio of output load to the input load. The mechanical advantage of the machine will be 0.1.
What is mechanical advantage?Mechanical advantage is a measure of the ratio of output force to input force in a system,
It is used to obtain the efficiency of forces in levers and pulleys. It is an effective way of amplifying the force in simple machines like levers.
The theoretical mechanical advantage is defined as the ratio of the force responsible for the useful work in the system to the applied force.
Given
applied force = 250 N
Output force = 25
Mechanical advantage = work output / work input
[tex]\rm{Mechanical advantage}=\frac{F_O}{F_I}[/tex]
[tex]\rm{Mechanical advantage}=\frac{25}{250}[/tex]
[tex]\rm{Mechanical advantage}=0.1[/tex]
Hence the mechanical advantage of the machine will be 0.1
To learn more about the mechanical advantage refer to the link;
https://brainly.com/question/7638820
Define First Condition of Equilibrium ??
Answer:
First Condition of Equilibrium is that it must be experiencing no acceleration or the external forces acting on the body should be zero.
Answer:
First Condition of Equilibrium :
The net force in all direction must be zero
Sum of all force = 0 or net F = 0
Explanation:
Examples :
Book lyinh on table Picture hanging on a wallA paratroper coming down with terminal velocitywhen two forces on the same object are equal and oppostie, these forces are called
Answer:
Balanced forces are equal and opposite in direction, they act on the same body. The net force due to these forces is zero.
Explanation:
Answer:
Balanced forces are equal and opposite in direction, they act on the same body. The net force due to these forces is zero.
What will happen if a constant force is applied to an object
Answer:
The object will have a constant acceleration.
Explanation:
F = ma, a = F/m, F amd m are both constant, so a = constant.
what is the independent variable for the experiment
answer
a variable thay doesnt depend on another variable isnt changed by any factors
explanation
Calculate the acceleration of a truck moving along a straight path if its speed increases from
0.0 m/s to 15 m/s in 10.0 s.
Answer:
I'm not to sure but I think the answer is 1.5m/s^2
Explanation:
Acceleration = Change in Velocity over Time.
So we get 15 - 0.0 divided by 10.0 which = 1.5m/s^2
But again I'm no expert I'm learning this stuff just like you guys.
Leo places a plant in front of the center of curvature of a concave mirror. Which characteristics will the image of the plant have? Check all that apply. Real virtual inverted upright smaller larger same size.
A convex mirror is a hollow spherical is divided into pieces the exterior surface of each cut portion is painted. The image of the plant has real, inverted, and smaller image characteristics.
What is a concave mirror?When a hollow spherical is divided into pieces and the exterior surface of each cut portion is painted, it forms a mirror, with the inner surface reflecting the light.
A concave mirror is a name for this sort of mirror. An enlarged and fake image is caused when the concave mirror is positioned too near to the object.
When the distance between the item and the mirror is increased, however, the size of the image decreases, and a true picture is generated. The picture created by the concave mirror may be manipulated.
To learn more about the concave mirror refer to the link;
https://brainly.com/question/25937699
Answer:
Real, Inverted, Smaller.
Explanation:
Just got right
A quarterback back pedals 2.1 meters northward and then runs 7.4 meters southward
What is the magnitude and direction of the displacement
Answer:
-5.3 m
Explanation:
Consider north to be the positive direction, and south to be the negative direction. Adding up the displacements gives
(+2.1m) + (-7.4m) = 2.1 - 7.4m = -5.3m (southward direction)
This makes sense because if he travels 2.1 m north, then 7.4 south, he would end up south of where he started because he passed 2.1 m and went further
Where on a roller coaster is centripetal forces at work.
Regardless of where the cars are in the loop, centripetal force is always directed toward the center of rotation. So even if a car you're riding in is at the top of a loop, upside-down, you will feel pressed into your seat.
Because energy is conserved, the “lost” energy has actually been changed into other forms. Looking at the two sleds, what effect did some of this energy cause?
Answer:
The answer is the kinetic energy of sled B after it crash is 6439j.
A lens with a focal length of 35cm
is used to form an image of an
object. When this lens is placed a
certain distance X from the object,
no image is formed. Give this
distance X in cm.
Since the focal length of the lens is 35 cm, at a distance of 35 cm from the lens, no image is formed.
What are lenses?Lenses are portions of a transparent medium bounded by two curved surfaces or one curved surface and one plane surface.
Lenses are used to produce images of an object on. screen.
The images produced may be real or virtual.
For diverging lenses, images produced are always virtual.
For a converging lens, images produced may be virtual or real.
However, when an object is placed exactly at the focal length of a lens, no image is produced.
Therefore, the distance X when no image will be produced in the lens is the focal length of the lens, 35 cm.
Learn more about lenses at: https://brainly.com/question/730383
write an application of convergent and divergent lenses in your daily life solution.
The magnifying glass represents one of the simplest, most direct applications of a converging lens. As light enters the lens, it becomes focused to a specific focal point in front of the center of the lens. Once you bring the magnifying glass to the optimal distance, so the focal point reaches the object, the object will appear at maximum magnification. Move the glass farther from the object and it will become distorted; move the glass closer to the object and it will decrease in magnification.
Divergent lenses are used on flashlights to magnify the light produced by the bulb. The light falls on the concave side of the lens, and the rays diverge on the other side, thereby increasing the apparent radius of the light source and providing a wider beam.
A coin placed on the cover of a book just begins to move when the cover makes an angle of 38 degrees with the horizontal. What is the coefficient of static friction?
Answer:
m g sin theta = force of object along incline due to gravity
N μ = frictional of incline on object where N is the normal force
N = m g cos theta force perpendicular to incline
m g sin theta = N μ = μ m g cos theta
μ = tan theta = tan 38 = .78
Question 2 of 5
Scientists predict that the human population will continue to increase. Which
two events are likely to occur as a result?
A. The amount of water released into streams and rivers will
increase.
B. The amount of natural space will decrease as suburban areas
increase.
C. More people will move to the cities, increasing the amount of
natural space.
D. Air pollution will increase due to increased use of fossil fuels.
Answer: A. The amount of water releases into streams and rivers will increase.