Answer:
d(P1,P2) = (x2 x1)2 + (y2 y1)2 + (z2 z1)2. This can be proved by repeated application of the Pythagorean Theorem. Example The distance between P1 = (2,3,1) and P2 = (8,5,0) is d(P1,P2) = (8 2)2 + (5 3)2 + (0 1)2 = 36 + 64 + 1 = 101 10.05.
Explanation:
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]
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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 velocityDifference between object distance and image distance within 4 points .(class 10)
The relationship between object distance, image distance, and focal length of a spherical mirror is given by
1/f=1/v+1/u
Where
f= focal length of a spherical mirror (distance between the pole and the principal focus of the mirror)
u= object distance (distance between pole and object)
v= image distance (the distance between pole and image)
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:
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
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.
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
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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)
The approximate age of the universe is estimated to be:.
Answer:
about 13.8 billion years old
calculate the GPE of a rock with a mass of 55kg on a cliff that is 27m high
Answer:
P=mgh
P=mghm=55
P=mghm=55g=9.8 or ~10
P=mghm=55g=9.8 or ~10h=27
Explanation:
hope it will help you have a great day bye and Mark brainlist if the answer is correct
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#carry on learning
Select the correct answer. What has alternating electric and magnetic fields that travel in the form of a wave? A. Electromagnet B. Electromagnetic radiation C. Alternating current D. Direct current E. Static electricity.
Answer:
(B) electromagnetic radiation
Explanation:
Answer: B electromagnetic radiation
Explanation: hope this helps ik im a bit late though
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
when 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.
1. A rock of granite has a mass of 50 kg. if it’s weight in water
W2 = 380 N [ density = 1000 kg/m3] Calculate FB and the volume of the rock.[g =10 m/s2]
Answer:
The first part of the question is asking about BUOYANT FORCE or UPTHRUST.
Upthrust =TRUE WEIGHT-APPARENT WEIGHT
TRUE WEIGHT=mg
TRUE weight=50kg×10m/s²
=500N
upthrust=500N-380N
FB=120N
volume of the rock=mass/density.
since the granite is completely submerged, the volume of the displaced liquid will be equal to the volume of the body.
upthrust=Vdg
120N=V×1000kg/m³×10m/s²
120N=V×10000kg/m²s²
120/10000=V
v=0.012m³
please mark brainliest, hope it helped
A person walks up a stalled 10 m long escalator in 94 s. When standing on the same escalator, now moving, the person is carried up in 60 s. How much time would it take that person to walk up the moving escalator?
Answer:
V1 = S / t1 = speed up stalled escalator = 10/94 = .106 m/s
V2 = S / t2 = speed of escalator = 10 / 60 = .167 m/s
V = V1 + V2 combined speed
T = S / V = 1 / t1 + 1 / t2 = t1 * t2 / (t1 + t2)
T = 60 * 94 / (60 + 94) = 36.6 sec
Check: combined speed = .106 + .167 = .273 m/s
T = 10 / .273 = 36.6
Consider the electric field lines drawn below for a configuration of two charges. Several locations are labeled on the diagram. Rank these locations in order of the electric field strength - from smallest to largest.
Helppp
Answer:
The magnitude or strength of an electric field in the space surrounding a source charge is related directly to the quantity of charge on the source charge and inversely to the distance from the source charge. The direction of the electric field is always directed in the direction that a positive test charge would be pushed or pulled if placed in the space surrounding the source charge.
Explanation:
I really hope this helps you!
The rank for the strength of electric field can be given as D>B>E>C>A. The amplitude or intensity of such an electric field inside the region around a source charge is proportional to the amount of charge.
What is electric field lines?Electric field lines are a paper representation of electric field lines. These are drawings that employ lines and arrows to illustrate electric fields surrounding charged objects, making them highly useful in understanding field intensity and direction.
The amplitude or intensity of such an electric field inside the region around a source charge is proportional to the amount of charge just on source charge as well as inversely proportional to the distance first from source charge. The rank for the strength of electric field can be given as D>B>E>C>A.
Therefore, the rank for the strength of electric field can be given as D>B>E>C>A.
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Think about the questions below. You will be reporting the answers in your summary. Write your summary in the essay box below.
What kind of energy transformation is occurring?
How much water was melted by the incandescent light bulb? By the CFL?
How do you explain the difference in the amount of water?
Which light bulb do you think is more energy efficient?
Research incandescent bulbs and CFLs. Write a 150 word summary describing how each bulb works and include the answers to the questions above.
Let there be light! At the flick of a switch, a light bulb can light or illuminate an entire room, but what else is happening? One the basic laws of physics, the conservation of energy, tells us that energy is neither created nor destroyed: rather, it can only be transformed from one form to another. In the case of the light bulb, electrical energy is being transformed into light and thermal (heat) energy. Different wattages and types of bulbs give off varying amounts of light and heat. In this light bulb science project, we'll be working with incandescent and compact fluorescent lamp bulbs (CFL’s).
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.
Erik Erikson’s theory of psychosocial development emphasizes that development occurs by overcoming an emotional crisis in each of the eight stages of one’s lifetime. Please select the best answer from the choices provided T F.
Answer:
True
Explanation:
Answer:
The answer is T (True)
Explanation:
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.
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Answer:
Real, Inverted, Smaller.
Explanation:
Just got right
What would happen if the weather became very calm and the wind was not blowing for a few days around the wave hub?
PLEASE ANSWER ILL GIVE BRAINLIEST !!!!!
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:
what are overtones? how are they related to the quality of a sound
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.
.What is the mass of an object if it accelerates at 3 m/s2 and has a force of 1 N?
Answer:
1/3 kg
Explanation:
[tex]a = \frac{f}{m} = \frac{1}{3 }kg[/tex]
Sound is a transfer of energy from an oscillating source.
Which statement describes how sound energy is transferred?
А a longitudinal wave with the oscillation parallel to the direction in which energy is transferred
B a longitudinal wave with the oscillation perpendicular to the direction in which energy is
transferred
С a transverse wave with the oscillation parallel to the direction in which energy is transferred
D a transverse wave with the oscillation perpendicular to the direction in which energy is
transferred
ОА
OB
ОС
OD
Answer:
A
sound waves are longitudinal waves with the oscillation parallel to the direction in which energy is transferred
A longitudinal wave with the oscillation parallel to the direction in which energy is transferred is the correct. Therefore option A is correct option.
What is Electromagnetic wave?Electromagnetic wave are the wave that contains both electric wave and magnetic wave. These two waves are perpendicular to each other. There are two kinds of this wave, one is longitudinal wave and transverse wave.
When movement of particles of wave move parallel to the direction of wave propagation. To go in parallel direction, there is two way one is in the direction of propagation or anti to the direction of propagation. Transverse is the wave in which wave particle travel perpendicular to the direction of propagation.
The wave that is present in the sound wave is the longitudinal wave. A longitudinal wave with the oscillation parallel to the direction in which energy is transferred. Therefore option A is correct option
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The Big Bang theory states that _____.
the universe was created from a cosmic explosion
the universe was formed from a collision between two galaxies
the universe is expanding and will continue to expand
the sun will eventually burn out and collapse
Answer:
A
Explanation:
The universe was created from a cosmic explosion.
*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.
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2. Jim and Sally went on vacation with their family. They took the family car and drove to the beach. The following
table displays data about a portion of their drive.
Motion of Car
Speed
Distance
0 meters
50 meters
100 meters
150 meters
meters
250 meters
Time
0.0 seconds
4.3 seconds
8.6 seconds
12.9 seconds
17.2 seconds
21.5 seconds
200
Which of the following statements best describe the motion of the car?
A. The car was speeding up.
B. The car was travelling at a constant speed.
C. The car was slowing down.
D. The car sped up and then slowed down.
the fluid speed v1=10 m/s at the large cross section A1 of diameter 8m. it flows in the narrow section of area A2 of diameter 4 m at speed V2. Calculate V2
Answer:
V1 A1 = V2 A2
V1 = 10m/s
A1 = 8m
10x8 =80
V2 =?
A2 = 4m
80 = V2 x 4
÷4
20 = V2
V2 =20m/s
Explanation:
If one halfs, the other doubles & vice versa. (Like inverse proportion or the reciprocal). That's why when you half 8m, the velocity doubles, on the other side. Then, balances out.
Hope this helps!