The question mentions an illustration that is not provided, but I can solve the problem anyway.
Answer:
Ua - Ub = 5,390 J regardless of the reference height
Explanation:
Gravitational Potential Energy
Gravitational potential energy is the energy stored in an object because of its vertical position or height in a gravitational field.
It can be calculated with the equation:
U=m.g.h
Where m is the mass of the object, h is the height with respect to a fixed reference, and g is the acceleration of gravity or [tex]9.8 m/s^2[/tex].
The problem is about proving the difference in potential energy does not depend on the reference used to calculate them.
a. Let's set the zero level for gravitational potential energy at B, i.e., h=0 at B.
The m=55 kg skier is at the top of the slope (point A) at a height of h=10 m.
The gravitational potential energy Ua is:
Ua = 55 * 9.8 * 10 = 5,390 J
The gravitational potential energy Ub (h=0) is:
Ub = 55 * 9.8 * 0 = 0 J
The difference is:
Ua - Ub = 5,390 J - 0 J = 5,390 J
b. Now fix the zero level at point A (h=0).
The gravitational potential energy Ua (h=0) is:
Ua = 55 * 9.8 * 0 = 0 J
Point B is at a height h=-10 m since it's below the reference.
The gravitational potential energy Ub (h=-10) is:
Ub = 55 * 9.8 * (-10) = -5,390 J
The difference is:
Ua - Ub = 0 J - (-5,390 J) = 5,390 J
We get the same value.
c. Finally, fix the reference at the midpoint between A and B.
Point A is at a height h=5 m since it's 5 m above the reference.
The gravitational potential energy Ua is:
Ua = 55 * 9.8 * 5 = 2695 J
Point B is at a height h=-5 m since it's 5 m below the reference.
The gravitational potential energy Ub is:
Ub = 55 * 9.8 * (-5) = -2695 J
The difference is:
Ua - Ub = 2695 J - (-2695 J) = 5,390 J
Again, we get the same value.
Conclusion:
Ua - Ub = 5,390 J regardless of the reference height
In 5 seconds a car moving in a straight line increases its speed
from 50 km/h to 65 km/h, while a truck goes from rest to 15
km/h in a straight line. Which undergoes greater aceleration?
What is the acceleration of each vehicle
Explanation:
because the track and the car moved same speed there their acceleration will be the same
a) The acceleration of the car and the truck are equal since for both vehicle is 15km/h and the time taken for both vehicle is also the same 5s.
b) The acceleration of the each vehicle is 0.83334 m/s².
Given data in the question is,
Time taken for both car and truck, t = 5 seconds
Initial velocity of car, Uc =50km/hr =13.8889 m/s
Final velocity of car, Vc = 65 km/hr = 18.0556 m/s
Since the truck starts from rest,
Initial velocity of the truck Ut =0
Final velocity of the truck Vt = 15 km/hr = 4.16667 m/s
What is acceleration?Acceleration can be defined as the rate of change of velocity.
a) The acceleration of the car and the truck are equal since for both vehicle is 15 km/h time taken for both vehicle is also the same 5s.
b) The acceleration of each vehicle is to determine.
To determine the acceleration for car and the truck , we use the first equation of motion:
v = u+ at
Where v is the final velocity,
u is the initial velocity,
a is the acceleration,
t is the time.
Now, For the car,
13.8889 m/s = 18.0556 m/s + ( a × 5)
a = [tex]\frac{ 18.0556 m/s- 13.8889 m/s}{5}[/tex]
a = [tex]\frac{4.1667}{5}[/tex]
a = 0.83334 m/s².
Hence, the acceleration of the car is 0.83334 m/s².
For the truck,
4.16667 m/s = 0 + (a× 5)
a = [tex]\frac{0-4.16667}{5}\\[/tex]
a = [tex]\frac{4.16667}{5}[/tex]
a = 0.83334 m/s²
Hence, the acceleration of the bicycle is 0.83334 m/s².
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1. Ex. Weight lifted above your head, piston in an engine
(1 Point)
Mechanical Energy
Nuclear Energy
Sound Energy
Chemical Energy
Answer:
I think it is mechanical energy
A car covers 100 km in 2 h , what is the speed of the car. I want full answer
Answer:
Distance = 100kmTime = 2hoursSpeed = Distance/Time = 100km 2hrSpeed= 50km/ hrI hope it helps ❤❤While eating lunch high up in a skyscraper, two construction workers calculate their gravitational potential
energies, and find them to be equal. If the lighter construction worker has a mass of 90kg, and the other worker
is twice as high up in the skyscraper, what is the mass of the other worker?
Answer:
The mass of the other worker is 45 kg
Explanation:
The given parameters are;
The gravitational potential energy of one construction worker = The gravitational potential energy of the other construction worker
The mass of the lighter construction worker, m₁ = 90 kg
The height level of the lighter construction worker's location = h₁
The height level of the other construction worker's location = h₂ = 2·h₁
The gravitational potential energy, P.E., is given as follows;
P.E. = m·g·h
Where;
m = The mass of the object at height
g = The acceleration due to gravity
h = The height at which is located
Let P.E.₁ represent the gravitational potential energy of one construction worker and let P.E.₂ represent the gravitational potential energy of the other construction worker
We have;
P.E.₁ = P.E.₂
Therefore;
m₁·g·h₁ = m₂·g·h₂
h₂ = 2·h₁
We have;
m₁·g·h₁ = m₂·g·2·h₁
m₁ = 2·m₂
90 kg = 2 × m₂
m₂ = (90 kg)/2 = 45 kg
The mass of the other construction worker is 45 kg.
At which position would a cat on Earth have least amount of pull due to gravity?
in a cat bed on the ground
on a second floor window sill
in a plane flying above Earth
Answer:
in a plane flying above Earth
Explanation:
Gravity is the force that draws objects toward center of the earth. If you throw an object up on the earth's surface, you will notice that it will fall back to the ground due to the earth's gravitational pull on the object.
However, the further one goes from the earth's surface, the lesser the gravitational pull. Therefore the cat will experience less gravitational pull in an airplane flying at a higher altitude.
Which is an example of the law of inertia?
A. A rocket taking off from earth
B. A crash dummy flies through a windshield in a collision
C. A small rock skips on a pond faster than a small rock
Answer:
B
Explanation:
Law of Inertia states, a body stays in rest or motion unless an ouside force causes change.
A coastline on Earth experiences tides according to the graph below.
A graph showing a high tide at approximately 12 hours and 24 hours with a low tide occurring 6 hours before each high tide.
What type of tide is cycling in this location?
AWNSER CHOICES:
A: Diurnal tides
B: Mixed dinural tides
C: Mixed semidiurnal tides
D: Semidiurnal tides
If I can figure out how to mark brainliest I will if the awnser provided is correct
Answer:
Most coastal areas, with some exceptions, experience two high tides and two low tides every lunar day (Ross, D.A., 1995). Almost everyone is familiar with the concept of a 24-hour solar day, which is the time that it takes for a specific site on the Earth to rotate from an exact point under the sun to the same point under the sun. Similarly, a lunar day is the time it takes for a specific site on the Earth to rotate from an exact point under the moon to the same point under the moon. Unlike a solar day, however, a lunar day is 24 hours and 50 minutes. The lunar day is 50 minutes longer than a solar day because the moon revolves around the Earth in the same direction that the Earth rotates around its axis. So, it takes the Earth an extra 50 minutes to “catch up” to the moon (Sumich, J.L., 1996; Thurman, H.V., 1994).
the answer is C
Mixed semidiurnal tides is the type of wave that coastline on Earth experiences.
What is meant by Mixed semidiurnal tides?An area has a mixed semidiurnal tidal cycle if it experiences two high and two low tides of different size every lunar day. Some areas, such as the Gulf of Mexico, have only one high and one low tide each day.Many areas on the western coast of North America experience these tidal cycles.Mixed semidiurnal tides is the type of wave that coastline on Earth experiences.
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help please I have to turn this in tonight!!
An atom has an equal number of neutrons and electrons. True or false
Answer:
True
Explanation:
i searched it up and well this thing is making me do it up till 20 characters long so yea
An object is place 30.5 cm from a convex lens that has a focal length of 8.0cm.where is the image ?
Answer:
Image is between F and 2F. And the exact location is:
q = 10.84 cm
Explanation:
The convex lens form different kinds of images with different sizes and locations, for the different positions of an object. In this case, the object is placed 30.5 cm from the convex lens with a focal length of 8 cm. This means that it is the case of the object placed beyond 2F. In this case, the image formed has the following characteristics:
1. Image is real.
2. Image is inverted
3. Image is diminished
4. Image is located between F and 2F
For exact location we use the thin lens formula:
[tex]\frac{1}{f} = \frac{1}{p} + \frac{1}{q}[/tex]
where,
f = focal length = 8 cm
p = object distance = 30.5 cm
q = image distance = ?
Therefore,
[tex]\frac{1}{8\ cm} = \frac{1}{30.5\ cm} + \frac{1}{q} \\\frac{1}{8\ cm} - \frac{1}{30.5\ cm} = \frac{1}{q}[/tex]
q = 10.84 cm
A dog sled was moving to the right on an icy surface with low friction, when the connecting rope between the sled and the dogs broke. What happens to the motion of the sled? *
Answer:
The sled will slow down in speed
Explanation:
According to Newton's first law of motion, a body will continue to be at rest or uniform motion unless acted upon by an external force.
In this situation, once the connecting rope between the sled and the dogs breaks, the motion of the sled will reduce because it is no longer connected to the dog that is providing the motion, hence the source of motion is no longer connected to the sled
What direction does tangential velocity point?
inward
outward in a straight line tangent to the circle
around the circle
Answer:b.outward in a straight line tangent to the circle!
Explanation:at any given point on the circle is always along the tangent line.
The average diameter of an atom is ________
(a) 10“8 m
(b) 1 m
(c) 1A°
(d) 10
Answer
0.1 - 0.5 nano meters
Explanation:
Here ya go buddy! :D
What is the main function of the mitochondria in a cell?
Answer:
Below :)
Explanation:
It is the powerhouse of the cell and creates chemical energy.
A man pushes a 49 kg mower with a force of 650 N at a downward angle of 35° as shown in the picture to the right. If the mower experiences a frictional force of 493.249 N, find:
The acceleration of the mower.
The normal force acting on the mower.
Answer:
a = 0.8m/s^2
F = 39.28 N
Explanation:
Sum of forces in X direction = 650cos(35)N-493.249N
Sum of forces in X direction= 39.28 N
F = m*a
a = F/m
a = 39.28N/49kg
a = 0.8 m/s^2
A total of 288 books was evenly divided among 6 elementary schools and 7 middle schools. What is the best estimate for the number of books each school received?
Answer:
22 books
Explanation:
Total number of books = 288books
Total number of schools = 6 + 7 = 13
If the books are distributed evenly, it means it was distributed in such a way that all the school has equal number of copies.
Each book will receive 288/13 copies
288/13 = 22.15
Hence the best estimate for the number of books each school received is 22 books
the table below shows the effect conditions on a car stopping distance. in witch condition was the car travelling most slowly
Answer: Car 5
Explanation:
Higher speeds mean higher braking times so the car with the highest braking distance was travelling the the fastest and the car with the lowest braking distance was traveling the slowest.
Braking distance = Stopping distance - Thinking distance.
Car Braking distance
1 38
2 50 = 65 - 15
3 75
4 75
5 14 = 23 - 9
Car 5 had the lowest braking distance so was going the slowest.
How many DAYS occur between a new moon and a first quarter moon?
Answer:
About 29.5
Explanation:
Answer:
7 days or a week
Explanation:
Someone please help me I’m begging you
[tex] \large{ \text{Hii, Hope \: you \: are \: fine!}}[/tex]
4321 is the answer
PLEASE HELP Due Today!
When the motion energy of an object changes, energy is being transferred. How do you know that's true?
Answer: The statement when the motion energy of an object changes, energy is being transferred is true.
Explanation:
Motion energy is also called mechanical energy and it is the summation of kinetic energy and potential energy stored in an object required for work.
As kinetic energy is the energy acquired due to motion of an object and potential energy is the energy acquired by an object due to its position.
For example, when a moving ball strikes another ball causing it to move then energy is being transferred from one ball to another.
Therefore, the statement when the motion energy of an object changes, energy is being transferred is true.
a sealed bottle of water was taken from a refrigerator and left in a warm kitchen. explain in the terms of its molecules what happened to the thermal energy and temperature of the water in a few minutes
Answer:
Explanation:
The sealed bottle serves as an open system for the water molecules, thus heat energy can be exchanged with its surroundings. When the bottle is placed in a warm environment, there would be a gradual increase in the thermal energy of the molecules of water due to a change in the temperature of its surroundings.
Thus, the molecules of water closer to the boundary of the bottle absorbs heat, becomes lighter and changes position. This gradual process continues until all molecules attains an average temperature which equals that of the surroundings of the bottle.
Therefore, both the thermal energy and temperature of the water increases.
Godric and Savos are a few meters apart, at one end of the football field. Peter is at the other end of the field. Godric and Savos starts moving towards Peter at a speed of 4m/s. From Savos point of view how is Godric moving?
Answer:
From Savos point of view, Gadros appear not to be moving
Explanation:
The given parameters are;
The distance between Godric and Savos = A few meters
The location of Godric and Savos = One end of the field
The location pf Peter = The other end pf the field
The speed with which Godric and Savos are moving towards Peter = 4 m/s
Let the positive x-direction be the direction in which Godric and Savos are moving
Therefore;
The speed and direction with which Godric is moving = The speed and direction with which Savos is moving = 4·i m/s
From Savos point of view, the relative speed with which Godric is moving = (The speed and direction in which Godric is moving) - (The speed and direction in which Savos is moving) = 4·i m/s - 4·i m/s = 0 m/s
Therefore, from Savos point of view, the relative speed with which Godric is moving = 0 m/s or Gadros appears stationary or not to moving.
On Earth, friction can be _____ but not removed.
Answer:
reduced
Explanation:
The use of bearing surfaces that are themselves sacrificial, such as low shear materials, of which lead/copper journal bearings are an example
Which chemical layer of Earth is creating rift valleys?
✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧ Answer:✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ
continental crust
✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧ Explanation:✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧
Continental rifting
If the diverging plates are capped by continental crust, fractures develop that are invaded by the ascending magma, prying the continents farther apart. Settling of the continental blocks creates a rift valley, such as the present-day East African Rift Valley.
✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧ Brainlist✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧
14. The design for a rotating spacecraft below consists of two rings. The outer ring with a radius of 30 m holds the living quarters and mimics the surface gravity of Earth, approximately 9.80 m/s'. The inner ring is designed to help the astronauts become accustom to the surface gravity of a new planet: 5.35 m/s. Calculate the spacecraft's period of rotation for the outer ring.
Answer:
[tex]T= 11.0003[/tex]s
Explanation:
From the question we are told that
The outer ring with a radius of 30 m
inner Gravity Approximately 9.80 m/s'
Outer Gravity Approximately 5.35 m/s.
Generally the equation for centripetal force is given mathematically as
Centripetal acceleration enables Rotation therefore?
[tex]\omega ^2 r =Angular\ acc[/tex]
Considering the outer ring,
[tex]\omega ^2 r = 9.8[/tex]
[tex]\omega ^2= \frac{9.8}{30}[/tex]
[tex]\omega = \sqrt{\frac{9.8}{30}}[/tex]
[tex]\omega= 0.571 rad/s[/tex]
Therefore solving for Period T
Generally the equation for solving Period T is mathematically given as
[tex]T= \frac{2\pi}{\omega}[/tex]
[tex]T= \frac{2\pi}{0.571 rad/s}[/tex]
[tex]T= 11.0003[/tex]s
Which planet in our solar system is considered the most thoroughly studied?
1. Mars
2. Pluto
3. Venus
4. Jupiter
About 50,000 years ago, in an area located outside Flagstaff, Arizona, a giant 4.5 107-kg meteor fell and struck Earth, leaving a 180-m-deep hole now known as Barringer crater. If the meteor was traveling at 20,000 m/s upon impact, with what average force did the meteor hit the earth?
Answer:
[tex]F_A =5.625*10^1^6N[/tex]
Explanation:
From the question we are told that
50,000 years ago,
A giant 4.5 107-kg meteor
180-m-deep hole
20,000 m/s
Generally for this problem the energy change is given as
[tex]\triangle E=\frac{1}{2} mv^2 +mgd[/tex]
Having the potential and kinetic energy in place
Mathematically solving for Average force[tex]F_A[/tex]
[tex]\triangle E=F_a*d[/tex]
[tex]F_A =\frac{1/2* 4.5*10^7(20,000)^2-kg+4.5*10^7*9.81*160}{160}[/tex]
Therefore Average force [tex]F_A[/tex] is given by
[tex]F_A =5.625*10^1^6N[/tex]
12.Two masses are arranged as shown on a ramp that makes an angle of 36° with the horizontal. Mass m1 is twice mass m2
. What is the minimum coefficient of static friction required between mass m1 and the ramp to ensure equilibrium?
Force M2 exerts on tension T
T = M2 g
T = M1 g sin theta - M1 g u cos theta
Note that M1 g is exerted down the plane while the frictional force opposes this motion and will be directed in the opposite direction of M1 g
M2 g = M1 g sin theta - u M1 g cos theta
1 = 2 sin 36 - u 2 cos 36
.5 = sin 36 - u cos 36
u = (sin 36 - .5) / cos 36 = .108
Any friction less that this will result in sliding
"1.7456" would be the minimum coefficient of static friction required.
Given:
Angle,
[tex]\Theta = 30^{\circ}[/tex]Mass,
[tex]m_2 =2 m_1[/tex]To keep the system in equilibrium forces acting on mass "[tex]m_1[/tex]" must balance forces acting on "[tex]m_2[/tex]".
That's,
→ [tex]Forces \ on \ m_1 \ downward \ along \ ramp = Forces \ on \ m_2 \ downwards[/tex]
or,
→ [tex]m_1 g Sin \Theta + \mu_s m_1 g Cos \Theta =m_2 g[/tex]
Thus,
→ [tex]\mu_s = \frac{m_2 g - m_1 g Sin \Theta}{m_1 g Cos \Theta}[/tex]
[tex]= \frac{m_2-m_1 Sin \ 36^{\circ}}{m_1 Cos \Theta}[/tex]
hence,
→ [tex]\mu_s = \frac{2 m_1 - m_1 Sin \ 36^{\circ}}{m_1 Cos \ 36^{\circ}}[/tex]
[tex]= 1.7456[/tex]
Thus the above answer is right.
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Why is it important for cornea of the eye to be transparent?
Answer:
More than 60% of the total refractive power of the eye is attributed to the cornea making it vital to focusing light onto the retina for visual processing 115.
Explanation:
For optimal vision, the cornea must efficiently transmit incident light by maintaining its transparency.
How did the lunar maria form?
A. Rivers carried sediments from the
highlands to the lowlands.
B. Lava flowed from the moon's interior onto its surface.
C. Meteorites flattened the mountains.
D. Shallow oceans evaporated, leaving broad areas covered with sand.
Answer:
In my knowledge
Option B. Lava flowed from the moon
and I am pretty sure cause I have read about it and option B is the conclusion I came with lol :D
What year was soccer added to the Olympic games ?
a - 1996
b - 1904
c - 1900
Answer:
a - 1996
Explanation:
Answer:
1900
Explanation:
It's football but for the U.S terms, they call it Soccer, and it was in 1900