E/2 is the kinetic energy of the system thereafter.
[tex][KE_f=m2E/m/4],[=E/2][/tex]
The energy an item has as a result of motion is known as kinetic energy. An object's kinetic energy will remain constant as long as it is travelling at the same speed. The velocity and mass of an item are used to compute its kinetic energy. The kinetic energy may be significantly impacted by the square of the velocity, as seen in the equation.
The joule is the accepted measurement for kinetic energy (J). The joule serves as the universal unit of energy. While potential energy is caused by an object's location or condition, kinetic energy is caused by an object's motion. The velocity of an item plays a significant role in determining its kinetic energy.
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A 0.80 m wide door turns though an angle of 45°. How long is the arc of the displacement?
O 1.0 m
O 0.80 m
O 0.63 m
O 0.45 m
Answer:
below
Explanation:
If it went for 360° it would swing through the ENTIRE circumference = 2 pi r
= 2 pi ( .8 ) =5.026 m
but it only swings through 45 of the 360
45 / 360 * 5.026 = .63 m
"The first event in Weightlifting competition is called the Snatch. [...] This lift is done with tremendous power and speed, the bar being lifted from the floor to arms length overhead in one motion, a motion which generally takes less than a second. Amazingly, the heaviest male weightlifters in the world are able to snatch more than 210 kg! (source)
An athlete is lifting 130 kg to a height of 2.45 meters in 0.5 seconds. How much power does he expend?
The power expended by the athlete is determined as 6,242.6 J/s.
What is average power?
The average power of an object can be defined as the proportion of overall work or activity performed by the body to the total time spent by the body.
The unit of average power is watt or joules per second.
Average power is calculated by dividing total energy spent by the total time taken.
Mathematically, the formula for average power is written as;
P = Energy / time
The work done by the athlete or the gravitational potential energy of the weight lifted by the athlete to the given height is calculated as follow;
Energy = P.E = mgh
where;
m is the mass lighth is the vertical heightg is acceleration due to gravityEnergy = 130 x 9.8 x 2.45
Energy = 3121.3 J
Power = 3121.3 J / 0.5 s
Power = 6,242.6 J/s
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Explain clearly about hydrogeological Map
Hydrogeological maps bring basic geological information together with data on the hydraulic and hydrochemical characteristics of the rocks and their usefulness for groundwater supply.
A__is the best example or representation of a concept.
A prototype is the best example or representation of a concept, which is used as a design to shape a device.
What is a prototype?A prototype can be defined as a given design in its experimental stage which is very useful to shape the framework or idea to carry out.
Therefore, with this data, we can see that a prototype can be very useful to shape an idea or concept about a given device in particular.
Complete question:
Fill in the blank. A _____ is the best example or representation of a concept.
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A 1500 kg car is traveling down the highway. If the force of air friction on the car is 250
N, with what force must the engine push forward on the car to keep it accelerating at 3
m/s²?
a. 4250 N
b. 4750 N
c. 14,450 N
d. 14,950 N
Answer:
b. 4750 N
Explanation:
F = ma
F = (1500)(3)
F = 4500 N
Force Total = Fa - Ff
4500 = Fa - 250
Fa = 4750 N
If Pete (mass = 90.0 kg) weighs himself and finds that he weighs 150 Newtons, how far away from the center of the earth is he?
Based on the acceleration due to gravity of the object at that point, the distance from the center of the object is 1.54 * 10⁷ m
What is the distance from the center of the earth for the object?The distance from the center of the object is calculated using the formula below:
g' = g(r/h)²
where;
g' is the acceleration due to gravity at that point
g is the acceleration due to gravity from the surface of the earth = 9.81 m/s²
r is the radius of the earth = 6.37 * 10⁶ m
h = is the distance away from the center of the earth
The acceleration due to gravity at that point is found using the formula below
F = mg'
g' = F / m
where m is mass
F is force
g' = 150 / 90
g' = 1.67 m/s²
h = r / (√g'/g)
h = 6.37 * 10⁶ / (√1.67/9.81)
h = 1.54 * 10⁷ m
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Convert newton into dyne.
newton is the S.I. unit of force.
dyne is the C.G.S. system of force.
[tex]{ \blue{ \tt{newton = kg {m}^{ - 2}}}}[/tex]
[tex]{ \blue{ \tt{dyne = gcm {s}^{ - 1}}}} [/tex]
[tex]{ \red{ \sf{ \frac{newton}{dyne}}}} = { \green{ \sf{ \frac{10 { \cancel g^{2}} \times 10 { \cancel{cm^{3}}} }{ \cancel{gcm}}}}}[/tex]
[tex]{ \red{ \sf{ \frac{newton}{dyne} }}}= { \boxed{ \purple{ \sf{{10}^{5} \: dyne}}}}[/tex]
Answer:
Explanation:
1 Newton = 100,000 dynes
F = m·a
[ F ] = 1 N = 1 kg · 1 m/s² = 1000 g · 100 cm/c² = 1000·100 g·cm / s²
= 100,000 g·cm / c² = 100,000 dines
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Since the boat is moving in a direction with 5 meters per second without any added force of rowing, it means it is in motion at the same rate of 5 meters. This means the motion is the equivalent to the speed in which it events. Even Newton first law stated ''every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force.''
SO: based on the choices the answer is D or The boats motion stays the same!
Answer: D or The boats motion stays the same!
Answer:
It stays the same. D.
Explanation:
If no forces are acting on the boat other than the current the boat's motion should stay the same. Hope you are satisfied with this answer please give me a good rating.
Listed following is a set of statements describing individual stars or characteristics of stars. Match these to the appropriate object category.
a. Red Giant or Supergiant Starts.
b. Main-sequence stars
c. White dwarfs
1. Very cool but very luminous
2. Found in the uppper right of the H-R diagram
3. The majority of stars in our galaxy
4. The Sun, for example
5. A very hot and very luminous star
6. not much larger in radius than Earth
7. Very hot but very dim
The appropriate object category are:
Red giant or super giant → very cool but very luminous→ found in the upper right of the H-R diagram, then
Main sequence stars →The majority of stars in our galaxy→ Sun →for example a very hot and very luminous star, then
White dwarfs → very hot but very d→ not much larger in radius than earth.
Giant:
When stars run out of their fuel that is hydrogen for the nuclear fusion reactions then they would convert into the Giant stars. main sequence stars.
Main Sequence:
Stars are called main sequence stars when their core temperature reaches up to 10 million kelvin and their start the nuclear fusion reactions of hydrogen into helium in the core of the star.
White dwarfs:
When the stars run out of their fuel then they actually shed the outer layer planetary nebula, the remaining core part that remain behind is called as white dwarf.
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Feeling Generous
Question
What is x?
x+7=99
Answer: 92
Explanation:
equation : x+7=99
here, we need to get x alone so we subtract 7 from both sides
x +7-7 = 99 -7 on the left side of the equation the 7s cancel out
x=92
A force of 10.0N acts between two unequal charges when they are separated by 0.30m. what will be the force between the charges when the distance between them is increased by 0.15m
Answer:
4.44 N
Explanation:
10 = G m1 m2 / r^2 G m1 and m2 are constant so:
10 = k /r^2
10 = k / (.30^2 )
.9 = k now increase to .45
F = .9 / (.45^2) = 4.44 N
Which of the following is NOT a way that machines provide a mechanical advantage? a. change direction c. change power b. change distance d. change force Please select the best answer from the choices provided A B C D
The following which is not a way that machines provide a mechanical advantage is that it changes power and is denoted as option C.
What is Mechanical advantage?This is referred to the measure of how much a force is increased by using a tool or machine and is calculated by finding the ratio of the output force to input force.
Changing the power is not a way in which machines provide a mechanical advantage as a result of the parameter not directly involved in how it functions which is therefore the reason why it was chosen as the correct choice.
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Calculate how much gravitational potential energy is lost by an aircraft of mass 80,000 kg if it descends from an altitude of 10,000 m to an altitude of 1000 m. What happens to this energy if the pilot keeps the aircraft's speed constant?
The loss in the gravitataional potential energy is obtained as 7.056 * 10^9 J and this energy is converted to the kinetic energy of the moving aircraft.
What is the change in the gravitational potential energy?The term gravitational potential energy has to do with the energy that is possessed by a body by virtue of its position. Thus it has to do with the height of the object. The greater the height, the more the gravitational potential energy.
Now;
E = mgh
m = mass of the object
g = acceleration due to gravity
h = height of the object
Thus;
The loss in the gravitational potential energy is obtained from;
80,000 * 9.8 (10,000 - 1000)
= 7.056 * 10^9 J
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A block with mass 0.100 kg is moving to the left with velocity of -2.3 m/s on a frictionless surface. This mass proceeds to then slide into a spring, with spring constant of 1700 N/m
1. Draw a force diagram while the mass is interacting with the spring
2. What is the maximum compression of the spring (in cm)?
3. What is the velocity of the mass after bouncing off the spring
0.0135 cm distance is the maximum compression of the spring.
mass=0.1 kg
velocity=2.3 m/s = 230 cm/s
spring constant, k= 1700 N/m
F=Kx
x=F/k
x=ma/k
x=0.1×230÷ 1700
x= 0.0135 cm
Distance is the length between two locations or things, independent of direction. Since distance is a scalar property, it only takes into consideration the total magnitude and ignores the start and finish positions. Since distance is a scalar attribute, it can only have a positive or zero value; it cannot have a negative value.
The most common unit of measurement for distance is the meter (m), while larger distances can also be stated in kilometers (km), while smaller distances can be expressed in centimeters (cm) or millimeters (mm). When calculating distance, the letter D is often used to represent the distance traveled.
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Two 1kg masses as distance D as part each exerted a gravitational attraction Force on the other one. If 1kg is now add to each mass the gravitational attraction exerted by each would be
Answer:
Explanation:
m₁ = m₂ = m
m₁' = 2m₁ = 2m
m₂' = 2m₂ = 2m
F₁₂ = G·m₁·m₂ / D² = G·m² / D²
F'₁₂ = G·m'₁·m'₂ / D² = G·2m·2m / D² = 4·G·m²/ D = 4·F₁₂
Gravitational pull increased 4 times
A very light ideal spring with a spring constant (force constant) of 2.5N/cm pulls horizontally on an 18-kg box that is resting on a horizontal floor. The coefficient of static friction between the box and the floor is 0.65, and the coefficient of kinetic friction is 0.45. How long is the spring just as the box is ready to move? If the spring pulls the box along with a constant forward velocity of 1.75m/s, how long is the spring? how long is the spring if it pulls the box forward at a constant 2.75m/s?
(a) The length of the spring just as the box is ready to move is 5.1cm
(b) The length of the spring when it is pulled forward at a constant velocity of 1.75 m/s is 47.0 cm
(c) The length of the spring when it is pulled forward at a constant velocity of 2.75 m/s is 73.8 cm
What is the length of the spring just as the box is ready to move?The length of the spring just as the box is ready to move is calculated by applying the principle of conservation of energy.
work done by static friction = elastic potential energy of the spring
μmgx = ¹/₂kx²2
μmg = kx
x = 2μmg/k
where;
k is spring constant = 2.5 N/cm x 100 cm/m = 250 N/mμ is coefficient of static friction
g is the acceleration due to gravity
x is an extension of the spring
x = 2μmg/kx = (2 x 0.65 x 18 x 9.8) / 250x
= 0.051 m
x = 5.1 cm.
The length of the spring when it is pulled forward at a constant velocity of 1.75 m/s.elastic potential energy of spring = kinetic energy of the box
¹/₂kx² = ¹/₂mv² kx² = mv² x²
= mv²/kx
= √(mv²/k)
where;
m is the mass of the box
v is the speed of the box
x is the length of the spring
x = √(18 x 1.75²/250)x = 0.470 mx = 47.0 cm
The length of the spring when it is pulled forward at a constant velocity of 2.75 m/s.x = √(mv²/k)x = √(18 x 2.75²/250)
x = 0.738 m
x = 73.8 cm
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A basketball spins on a player’s finger. The basketball starts with an initial rotational speed of 15 rad/s and stops spinning in 7.2 seconds. Find the angular displacement of the ball as it comes to a stop.
Answer:
Angular displacement ≈ 54 rad
Explanation:
Given:
φ₀ = 0
ω₀ = 15 rad/s
ω = 0
t = 7.2 s
___________
φ - ?
Rotational motion equation:
φ = φ₀ + ω₀·t + ε·t² / 2
Angular acceleration:
ε = (ω - ω₀) / t = ( 0 - 15 ) / 7.2 ≈ - 2.08 rad/s²
Angular displacement :
φ = φ₀ + ω₀·t + ε·t² / 2 = 0 + 15·7.2+ (-2.08)·7.2² / 2 ≈ 54 rad
Convert 13.50 g/cm3 to SI unit
13.50 g/cm³ value when converted into SI unit is 13500 kg/m³.
SI stands for system international that is standardized to be used for research , various purposes.
1 gram /cm³=1000 kg/m³
so therefore 13.50g/cm³= 13.50 x 10³kg/m³
The reason behind using kg as SI unit of mass is because its defined by taking fixed numerical value of plank's constant.
SI unit of length is metre as it's defined by taking fixed numerical value of speed of light in vacuum. so unit of volume is m³.
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What energy is always conserved
Answer:
Renewable Energy took a test on this not to long ago!
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A man with a weight of 740N is standing on one leg. His foot is exerting 2312.5 N/m2 of pressure onto the ground. What is the surface area of the bottom of his foot?
Answer:
he surface area of the bottom of his foot is 3.2 m2.
Explanation:
This question is typical on some driver’s license exams: A car moving at 40 km/h skids 14 m with locked brakes. How far will the car skid with locked brakes at 100 km/h? Assume that energy loss is due only to sliding friction
Answer:
the answer is 0
Explanation:
Which statement is NOT true?
O Acceleration is always a positive number.
O Acceleration has the SI units of m/s².
O The slope on a speed-time graph is the object's acceleration.
O
To calculate the acceleration of an object, the change in velocity is divided by the length of the time interval over which
the change occurs.
Statement 1 is not correct.
The rate at which velocity changes over time, both in terms of speed and direction, is defined as acceleration. A point or object traveling in a straight path is accelerated if it accelerates or decelerates. Even if the speed is constant, the motion of a circle is accelerated because the direction is constantly changing.
Given that
Acceleration is always a positive number.
Acceleration has SI units of m/s².
The slope on a speed-time graph is the object's acceleration.
To calculate the acceleration of an object, the change in velocity is divided by the length of the time interval over which the change occurs.
When a body accelerates, it is positive; when it slows, it is negative. Positive acceleration is directed along the velocity axis. Negative acceleration, on the other hand, is oriented in the opposite direction as the velocity.
The SI unit of acceleration is m/s2. Because acceleration is defined as velocity in meters per second divided by time in seconds, the SI units for acceleration are m/s2, meters per second squared, or meters per second per second, which essentially means how many meters per second the velocity changes every second.
The acceleration of an item is represented by the slope of a speed-time graph. The slope of a speed-time graph displays the rate of change of the body's speed and is known as acceleration.
To compute an object's acceleration, divide the change in velocity by the length of the time interval over which the change occurs. When you accelerate quickly, you apply a lot of force on an object. Depending on the speed and direction, acceleration can be either positive or negative.
A = velocity change/time
A = (vf- v1)/time
Therefore statement 1 is not correct
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write about a time when you felt warm but someone else felt cold
Answer: when i took the blanket from my sibling at night
Explanation:
A football is kicked by a place kicker. The average force on the
ball is 240 N and the impact lasts for a time interval of 0.25s.
Calculate the change in the ball's momentum.
The change in momentum of the ball that is kicked by a force of 240 N over a time interval of 0.25 s is 60 Ns.
What is change in momentum?Change in momentum can be defined as the product of force and time.
To calculate the change in momentum of the ball, we use the formula below.
Formula:
ΔM = Ft.............. Equation 1Where:
ΔM = Change in momentumF = Forcet = TimeFrom the question,
Given:
F = 240 Nt = 0.25 sSubstitute these values into equation 1
ΔM = 240×0.25ΔM = 60 NsHenece, the change in momentum of the ball is 60 Ns.
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Question 5
Use the following prompt for this question:
A car has a constant velocity of +12 m/s.
Question: Which statement correctly describes the forces acting on the
O the forces are balanced
O the forces are unbalanced
there are no forces acting on the car
There is no acceleration that is imparted to the car, then the forces are balanced.
What are the forces that act on the car?We know that unbalanced force is that which cause a body to move or to cause a body to stop moving at a constant rate. If that is so, then a body that acted upon by a system of balanced forces would remain at rest or would continue in a state of uniform motion.
Given the fact that we have been told that this car is moving at a constant speed of about +12 m/s, it is now plain that what acts on the car must be forces that are balanced since the car is not accelerating.
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what is the main consequence of forming jovian planets starting with extra mass from hydrogen compounds?
The main consequence of forming jovian planets starting with extra mass from hydrogen compounds is that the jovian planets was cold enough for hydrogen compounds to condense into ices. This cause them to grow to large size.
Jovian planets formed in the outer solar system, farther from the sun where ices and rocks were plentiful. The cores accreted rapidly into large clumps of ice and rocks. Jovian planets was cold enough for hydrogen compounds to condense into. Eventually, they become so large, they captured a large amount of hydrogen and other gases from the surrounding nebula with their enormous gravity. The atmosphere of the Jovian planets in our solar system are made mostly of hydrogen and helium compounds and containing hydrogen are--water, ammonia, and methane.
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Aspirin therapy has been used after ________ or recurrent _________ to reduce the risk of recurrence. Aspirin is contraindicated for anyone with ______________ ___________.
Answer: Aspirin is recommended as initial treatment to prevent recurrent ischemic stroke. Clopidogrel is recommended as an alternative monotherapy and in patients allergic to aspirin. The combination of clopidogrel and aspirin is not recommended for long-term use (more than two to three years) because of increased bleeding risk. Aspirin has been shown to lower the risk of heart attack and stroke in patients who have cardiovascular disease.
Explanation:
Earth rotate once every 24 hours. In a reference frame fixed to Earth, how far does
a point on the equator move in 1 hour? RE = 6.34×106 m
In a reference frame fixed to Earth, a point on the equator moves zero distance in 1 hour.
What is the frame of reference?A frame of reference in physics is made up of an abstract coordinate system and the collection of physical reference points that fix the coordinate system specifically and regulate measurements inside it.
When we take a reference frame fixed to Earth, the displacement due to earth's rotation can not be measured. So, any point on earth remains in rest through out the day with respect to the reference frame fixed to Earth. Hence, a point on the equator moves no distance in 1 hour in a reference frame fixed to Earth.
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A race car can be slowed with a constant acceleration of (-11 m/s²). If the car initial velocity 22 m/s, how many meters will it travel before it stops ?
The distance travelled by the race car that is slowed down with a constant acceleration of - 11 m / s² before it comes to a stop is 22 m
a = ( v - u ) / t
a = Acceleration
v = Final velocity
u = Initial velocity
t = Time
a = - 11 m / s²
v = 0
u = 22 m / s
t = ( v - u ) / a
t = ( 0 - 22 ) / - 11
t = 2 s
s = ut + 1 / 2 at²
s = ( 22 * 2 ) + ( 0.5 * - 11 * 2 * 2 )
s = 44 - 22
s = 22 m
Therefore, the car will travel 22 m before it stops
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A girl rides her bicycle 1.40 kilometers west, 0.70 kilometer south, and 0.30 kilometer east in 12 minutes. The vector diagram below represents the girl's fist two displacements in sequence
from point P. The scale used in the diagram is 1.0 centimeter = 0.20 kilometer.
8. Determine the measure of the angle, in degrees, between the resultant and the 1.40-
kilometer displacement vector.
Answer:
See below
Explanation:
For a right triangle, remember that tan = opposite leg / adjacent leg:
The angle will be found by using the inverse tangent function
arctan ( .3/1.4) = 12°
The measure of the angle, in degrees, between the resultant and the 1.40-kilometer displacement vector is 12.
What is vector?In physics, a vector is a quantity with both magnitude and direction. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity.
A vector does not have position, while having magnitude and direction. In other words, a vector's shape is unaltered if it is shifted parallel to itself as long as its length is unaltered.
Ordinary quantities with a magnitude but no direction are referred to as scalars in contrast to vectors. For instance, while speed (the amount of velocity), time, and mass are scalars, displacement, velocity, and acceleration are vector quantities.
Therefore, The measure of the angle, in degrees, between the resultant and the 1.40-kilometer displacement vector is 12.
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