The resulting angular speed of the platform after the weights are moved is approximately 13.82 rad/s.
We can apply the principle of conservation of angular momentum. According to this principle, the initial angular momentum of the system is equal to the final angular momentum of the system.
The angular momentum of a rotating body can be calculated using the equation:
L = I * ω
Where:
L is the angular momentum,
I is the moment of inertia,
ω is the angular velocity.
Initially, the system has an angular momentum given by:
L_initial = I_initial * ω_initial
And after the weights are moved, the system has a new angular momentum given by:
L_final = I_final * ω_final
Since the angular momentum is conserved, we can set these two equations equal to each other:
L_initial = L_final
I_initial * ω_initial = I_final * ω_final
Plugging in the given values:
\(I_initial * 1.5 rev/s = 10.88 kg m^2 * \omega_{final\)
We need to convert the initial angular velocity from rev/s to rad/s:
ω_initial = 1.5 rev/s * (2π rad/rev) ≈ 9.42 rad/s
Now, we can rearrange the equation to solve for ω_final:
ω_final = (I_initial * ω_initial) / I_final
\(\omega_{final} = (16.00 kg m^2 * 9.42 rad/s) / 10.88 kg m^2\)
ω_final = 13.82 rad/s
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When a fan is switched on, it achieves an angular acceleration of 250 rad/s2. after 1.2 s, what is the angular velocity in revolutions per minute?
When a fan is switched on, it achieves an angular acceleration of 250 rad/s2. after 1.2 s, the angular velocity in revolutions per minute would be 1989 rev/minute.
What is Velocity?The total displacement covered by any object per unit of time is known as velocity. The velocity of an object depends on the magnitude as well as the direction of the object.
velocity = total displacement /time
As given in the problem When a fan is switched on, it achieves an angular acceleration of 250 rad/s2. after 1.2 s,
By using the equation of motion for the rotational motion,
α = ω₀ + ωt
250 = 1.2 ω
ω = 250/1.2
= 208.33 rad/s
2π radian = 1 revolution
1 radian = 1/2π revolution
208.33 rad = 208.33 /2π revolution
=33.15 revolution
The number of revolutions in one minute = 33.15 ×60
=1989
Thus, the angular velocity comes out to be 1989 rev/minute.
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4) Which is the BEST description of a tectonic plate? *
O A. Tectonic plates consist of the lithosphere and part of the asthenosphere.
O B.Tectonic plates are large pieces of mesosphere that never move.
C. Tectonic plates are large pieces of lithosphere that move on tope of the
asthenosphere.
O D. None of these answers is correct.
Answer:
The answer is A
Explanation: i took k12
What is the name of the force that is acting upwards on the bag of bananas?
ANSWER- I GUESS IT SHOULD BE GRAVITATIONAL FORCE.......
Answer:
GRAVITATIONAL FORCE
What is the relationship between elevation and energy (think about the same can dropped from different heights)?
Answer: Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces. So as two objects are separated from each other, the force of gravitational attraction between them also decreases.
Explanation:
All Sections
A student pushes a 40 Kg cart with a force of 300 Newtons. What is its
acceleration?
Answer:
7.5 m/s2
Explanation:
F = ma
300 = 40 kg (a)
divide both sides by 40 to single out the variable a (acceleration)
300/40 = 7.5 m/s2
a solid sphere of silver, which is a good conductor, has a spherical cavity at its center. there is a point charge at the center of the cavity. the silver sphere has a charge of 9.00 nc on its outer surface and a charge of -2.00 nc on the surface of the cavity. what is the value of the point charge?
The value of the point charge is zero.
What do you mean by charge?
Charge, also known as electric charge, electrical charge, or electrostatic charge and denoted by the symbol q, is a property of a unit of matter that indicates how many more or fewer electrons than protons it contains.
When a subatomic particle is exposed to an electric and magnetic field, its electric charge causes it to feel a force. There are two sorts of electric charges: positive and negative. The electric field outside the sphere is the same as the field from a point charge with a net charge of Q, according to Gauss' law, whereas the electric field inside the sphere is zero. For a solid or hollow sphere, this conclusion holds valid.
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Use appropriate units and significant figures. USE THE LAW OF COSINES AND LAW OF SINES.
You are flying 75.0 mi/hr on a plane heading north with a wind blowing 15.0 mi/hr 46.0° East of North. What is the resultant velocity (your velocity relative to the ground)?
Answer:
The resultant velocity is 86.1 mi/h.
Explanation:
The law of cosines is given by:
\( c^{2} = a^{2} + b^{2} - 2abcos(\theta) \)
Where:
c: is the resultant velocity =?
a: is the velocity of the plane = 75.0 mi/h
b: is the velocity of the wind = 15.0 mi/h
θ: is the angle between "a" and "b"
The angle between "a" and "b" can be found as follows:
\( \theta = 180.0 - 46.0 = 134.0 ^{\circ} \)
Now, by using the law of cosines we have:
\( c^{2} = (75.0)^{2} + (15.0)^{2} - 2*75.0*15.0*cos(134.0) = 7413.0 \)
\( c = 86.1 mi/h \)
Therefore, the resultant velocity is 86.1 mi/h.
The law of sines is:
\( \frac{a}{sin(\gamma)} = \frac{b}{sin(\alpha)} = \frac{c}{sin(\theta)} \)
Where:
γ: is the angle between "b" and "c"
α: is the angle between "a" and "c"
So, if we want to find "c" by using the law of sines, we need to know another angle besides θ (γ or α), and the statement does not give us.
I hope it helps you!
What is reinforcement in Psychology?
Reinforcement can be positive, meaning that a desirable consequence is provided, or negative, meaning that an undesirable consequence is removed
Reinforcement in psychology is an important tool for motivating behavior. It works by providing a consequence after a behavior occurs that makes it more likely to happen again in similar situations. Positive reinforcement is providing a desirable consequence, such as praise or a reward, after a behavior. Negative reinforcement is the removal of an undesirable consequence, such as a punishment, after a behavior. Reinforcement can be used to shape and strengthen desirable behaviors, as well as decrease undesirable behaviors. It is an effective way of motivating people and can be used in a variety of different contexts.
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calculate the efficiency of a machine if the input work is 200J and the output work is 150J.
Answer:
75% is the efficency of this maxhine
A bar magnet is falling through a loop of wire with constant velocity. The north pole enters first. As the south pole
leaves the loop of wire, the induced current (as viewed from above) will be in which direction?
a) is counterclockwise.
b) is along the length of the magnet
c) is zero
d) is clockwise
As the south pole leaves the loop of wire, the induced current (as viewed from above) will be in the clockwise direction.
Whenever a magnet is moved near a closed circuit or wire loop, an emf (electromotive force) is generated in the conductor. When the magnet moves in and out of the coil or loop, the magnitude and direction of this voltage changes, generating an induced current. This is referred to as Faraday's law of electromagnetic induction, which states that an emf is induced in a closed conductor when the magnetic flux through the surface enclosed by the conductor changes over time.
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write a sentence to describe how an image is formed on retina
when looking at distant objects.
Answer:
An image is formed on the retina with light rays converging most at the cornea and upon entering and exiting the lens. Rays from the top and bottom of the object are traced and produce an inverted real image on the retina. The distance to the object is drawn smaller than scale
a fighter jet is launched from an aircraft carrier with the aid of its own engines and a steam-powered catapult. the thrust of its engines is 1.80 105 n. in being launched from rest it moves through a distance of 87 m and has a kinetic energy of 4.30 107 j at lift-off. what is the work done on the jet by the catapult?
A fighter jet being launched from such an aircraft carrier using a steam-powered catapult and its own engines. Its engines produce 2.3 x 105 N of thrust.
What speed is reached when a jet fighter aircraft is fired from a slingshot on an aircraft carrier?
42 m/s On an aircraft carrier, a catapult is used to launch a jet fighter. Just at end of the sling, it takes 2 seconds to achieve velocity of 42 m/s. What is the catapult's length if the acceleration is constant?
How strong is the aircraft carrier's catapult?
Catapults A 48,000-pound aeroplane was launched 300 feet and increased in speed from 0 to 165 miles an hour in two seconds by four steam-powered catapults. On every
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2. A spacecraft travels at 2 x 108 m/s relative to Earth. An astronaut on board listens to a CD that lasts 50 min.
How long would the CD last as measured by a stationary clock on Earth?
3. A linear particle accelerator is a special machine that accelerates charged particles to nearly the speed of light
and channel them into a beam. When used in research, the beam hits targets and the atoms split. Scientists
gather information about sub-particles, atoms and molecules to further help understand the laws of physics.
A proton of a mass 1.67 x 10–27 kg is accelerated to 0.999 994c. Calculate the ratio of the proton’s relativistic
momentum to the non-relativistic momentum
This is a time dilation exercise. The time taken for the CD to last as measured by a clock on earth is given as: 67.08 minutes.
What is time dilation?Under the theory of special relativity, time dilation is the "slowing down" of a clock as determined by an observer in relative motion with respect to that clock.
Recall that the equation for time dilation is given as:
t = t₀/√(1- (v²/c²)
Where:
t₀ is the observer in the space craft
t is the observer on earth
v is the speed of the space craft which is given as 2 x 10⁸m/sec
c is the speed of light which is given as 3 x 10⁸m/sec
Hence
v/c = 2 x 10⁸/ 3 x 10⁸
= 2/3
Thus,
t = 5/√(1-(4/9)
= 50 √(9/5)
= 150/√5
= 150 /2.2361
= 67.08 min
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How much heat is required to raise the temperature of 2.0 kg of concrete from 10C to 30C? (The specific heat of concrete is 880 j/kg-C.)
A. 22 J
B. 88 J
C. 8800 J
D. 35200 J
Answer:B
Explanation:
A large scoreboard is suspended from the ceiling of a sports arena by 10 strong cables. Six of the cables make an angle of 8. 0° with the vertical while the other four make an angle of 10. 0°. If the tension in each cable is 1300. 0 N, what is the scoreboard’s mass?
The mass of the scoreboard is 1313.7 kg.
To find the scoreboard's mass, we need to calculate the total force acting on the scoreboard and then use the equation F = ma to find the mass.
First, let's calculate the vertical component of the force from the six cables that make an angle of 8.0° with the vertical. The vertical component of the force is given by:
Fv = F * cosθ
Where F is the tension in each cable (1300.0 N) and θ is the angle between the cable and the vertical (8.0°).
Fv = 1300.0 * cos(8.0°)
Fv = 1289.1 N
The total vertical force from these six cables is:
Fv,total = 6 * 1289.1
Fv,total = 7734.6 N
Now, let's calculate the vertical component of the force from the four cables that make an angle of 10.0° with the vertical. The vertical component of the force is given by:
Fv = F * cosθ
Where F is the tension in each cable (1300.0 N) and θ is the angle between the cable and the vertical (10.0°).
Fv = 1300.0 * cos(10.0°)
Fv = 1284.8 N
The total vertical force from these four cables is:
Fv,total = 4 * 1284.8
Fv,total = 5139.2 N
The total vertical force acting on the scoreboard is the sum of the vertical forces from the six cables and the four cables:
Fv,total = 7734.6 + 5139.2
Fv,total = 12873.8 N
Now, we can use the equation F = ma to find the mass of the scoreboard. The acceleration due to gravity is 9.8 m/s^2:
F = ma
12873.8 = m * 9.8
m = 12873.8 / 9.8
m = 1313.7 kg
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I dont get it. The formula for this is
y\(\frac{amount of energy}{time}\)
Answer:
5000 W
Explanation:
you are technically correct, but the question is asking for units in Watts
Recall that Power rating is the energy per unit time
= Energy ÷ Time
= 300,000 ÷ 60
= 5000 j/s
but we are told that the unit is a single letter, and recall that joules/s = watts
hence
5000j/s = 5000 W
edit: typo. Missing a zero from answer
Which of these is most likely to create a boating hazard around river bridges?
a) boats slowing as they approach the bridge
b) cars crossing the bridge
c) debris collecting around pilings
d) bridges swaying due to wind and waves
Debris collecting around pilings is most likely to create a boating hazard around river bridges.
The option (c) is the correct option.
Boating Hazards:
Dams, submerged items, freezing water, rapidly changing weather, sunstroke, and current are just a few of the dangers that boaters may encounter. It's not always easy to see these risks. These risks must be recognized by boaters, and they must always be prepared to prevent hazards.
Operator negligence is the most frequent reason for boating accidents, according to US Coast Guard (USCG) recreational boating statistics from 2019. Inattentiveness on the part of the operator can result in crashes, people falling overboard, and slip-and-fall incidents on board, all of which can result in life-threatening injuries.
The greatest places to find more about any potential local risks are marinas and local boaters. Check any nearby marine charts as well to learn about potential dangers and how to avoid them.
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Before the collision, the blue marble is moving from left to right, and it has a velocity of 2 m/s. The orange marble is moving at an equal speed, but in the opposite direction. What is the velocity of the orange marble before the collision?
Before the collision, the velocity of the orange marble is -2 m/s which is equal to the velocity of the blue marble.
What is the velocity of an object?The velocity of an object is the speed of the object in a specified direction.
The distance traveled by an object in a specified direction is known as the displacement of the object.
Hence velocity can be defined as the ratio of displacement and the time taken.
Velocity = displacement/time taken.
Considering the velocity of the two marbles;
Before the collision, the blue marble has an equal velocity as the orange marble but in an opposite direction. Taking the direction of the blue velocity as positive, the velocity of the orange marble will be equal to the velocity of the orange marble in a negative direction.
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A ball dropped and accelerates downwards at a rate of 10m/s^2 for 15 seconds how much will the balls velocity increase
Answer:
v = 150 m/s
Explanation:
Given that,
The acceleration of the ball, a = 10 m/s²
Time, t = 15 s
We need to find the increase in ball's velocity. When it is dropped its initial velocity is equal to 0. Let v be the velocity,
v = u+at
v = 0 +10(15)
v = 150 m/s
So, the ball's final velocity is 150 m/s.
Given that the Sun's lifetime is about 10 billion years, estimate the life expectancy of a a) 0.2-solar mass, 0.01-solar luminosity red dwarf b) a 3-solar mass, 30-solar luminosity star c) a 10-solar mass, 1000-solar luminosity star
The life expectancy of the given stars are:a) 0.2-solar mass, 0.01-solar luminosity red dwarf: 10 trillion yearsb) 3-solar mass, 30-solar luminosity star: 10 million yearsc) 10-solar mass, 1000-solar luminosity star: 10 million years.
The life expectancy of a star is determined by its mass and luminosity. The more massive and luminous the star is, the shorter its life expectancy is. Hence, using this information, we can estimate the life expectancy of the following stars:a) 0.2-solar mass, 0.01-solar luminosity red dwarfRed dwarfs are known to have the longest life expectancies among all types of stars. They can live for trillions of years.
Hence, a 0.2-solar mass, 0.01-solar luminosity red dwarf is expected to have a much longer life expectancy than the Sun. It could live for up to 10 trillion years or more.b) 3-solar mass, 30-solar luminosity starA 3-solar mass, 30-solar luminosity star is much more massive and luminous than the Sun. As a result, it will have a much shorter life expectancy than the Sun.
Based on its mass and luminosity, it is estimated to have a lifetime of around 10 million years.c) 10-solar mass, 1000-solar luminosity starA 10-solar mass, 1000-solar luminosity star is extremely massive and luminous. It will burn through its fuel much faster than the Sun, resulting in a much shorter life expectancy. Based on its mass and luminosity, it is estimated to have a lifetime of only around 10 million years as well.
Therefore, the life expectancy of the given stars are:a) 0.2-solar mass, 0.01-solar luminosity red dwarf: 10 trillion yearsb) 3-solar mass, 30-solar luminosity star: 10 million yearsc) 10-solar mass, 1000-solar luminosity star: 10 million years.
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The van of Hans and Frans is stuck on slippery ice, so they must get out and move it by hand. Hans pushes
rightwards with force magnitude Fh and Frans pulls rightwards with force magnitude Fr. The van has a
rightwards acceleration magnitude a.
I
F.
Do 4 nrobleme
Answer: a= ff+fh/m
Explanation: bc khan academy said it was d. a=ff +fh/m
Answer:
answer is
m= Ff-Fh/a
Not far from the mirror showcase (the figure shows a top view) there is a person (indicated by point H in the figure), and closer to the showcase there is a lamppost (point C). By building, find the positions at which the observer (points H, which are indicated for example and are not the answer) will see in the window: a person to the left of the pillar; the person to the right of the pillar; a pole blocking a person
The observer (point H) must be positioned to the right of the person and to the left of the lamppost, to the left of the person and to the right of the lamppost, or behind the lamppost to see the person obstructed by it.
To determine the possible positions of the observer (point H) relative to the mirror showcase, we need to consider the given information about the position of the person and the lamppost.
If the person is to the left of the lamppost (point C) as seen in the window, then the observer (point H) must be positioned to the right of the person and to the left of the lamppost. This is because the mirror will reflect the image of the person to the right, and the observer must be positioned to the right of the reflected image to see it.
If the person is to the right of the lamppost (point C) as seen in the window, then the observer (point H) must be positioned to the left of the person and to the right of the lamppost. This is because the mirror will reflect the image of the person to the left, and the observer must be positioned to the left of the reflected image to see it.
If the lamppost (point C) obstructs the view of the person as seen in the window, then the observer (point H) must be positioned behind the lamppost, either to the left or to the right of it. This is because the mirror will not be able to reflect the image of the person due to the obstruction caused by the lamppost.
In summary, the possible positions of the observer (point H) relative to the mirror showcase are:
To the right of the person and to the left of the lamppost, to see the person to the left of the lamppost. To the left of the person and to the right of the lamppost, to see the person to the right of the lamppost. To the left or right of the lamppost, behind it, to see the obstruction of the person caused by the lamppost.
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Complete question:
Using the given information, determine the possible positions of the observer (point H) relative to the mirror showcase such that the following are observed:
1 - The person is to the left of the lamppost (point C) as seen in the window.
2 - The person is to the right of the lamppost (point C) as seen in the window.
3 - The lamppost (point C) obstructs the view of the person as seen in the window.
What is the speed of a wave that has a frequency of 110 Hz and a wavelength
of 0.21 m?
OA. 23.1 m/s
OB. 0.04 m/s
O C. 523 m/s
OD. 0.002 m/s
The speed of the wave of wavelength 0.21 m is 23.1 m/s. And the correct answer is 0A. 23.1 m/s.
How to calculate the speed of a wave?The speed of a wave is calculated by multiplying the wavelength and the frequency of the wave.
To calculate the speed of the wave, we use the formula below.
Formula:
s = λf......................................Equation 1Where:
s = Speed of the waveλ = Wavelength of the wavef = Frequency of the waveFrom the question,
Given:
f = 110 Hzλ = 0.21 mSubstitute these values into equation 1
s = 110×0.21s = 23.1 m/sHence, the speed of the wave is 23.1 m/s.
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i'll give brainliest!!! please help asap!!!
Which of the following electromagnet will have the strongest force?
1: A battery with no loops or wire around the nail
2: A battery with 10 loops of wire around the nail
3: A battery with 3 loops of wire around the nail
4:A battery with 15 loops or wire around the nail
Answer:
4:A battery with 15 loops or wire around the nail
Explanation:
More loops equals more force
A battery with \(15\) loops or wire around the nail have the stronger force.
So, option 4 is correct.
Define electromagnet.An electromagnet is a system that contains of a magnetic encircled by a coil that conducts an electric current to ionize the core.
Wherever controllable magnetism are required, such as in devices where the magnetic flux must be adjusted, reversed, or turned on and off, an electromagnet is utilized.
A battery with \(15\) loops or wire around the nail have the stronger force.
So, option 4 is correct.
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An object with a mass of 9 kg accelerates 3 m/s2 when an unknown force is applied to it. What is the unknown force
Answer:
we have to use the formula f=ma to find out the unknown force
Explanation:
mass = 9kg
accelration=3m/s^2
force = mass * acceleration
force = 9 * 3
force = 27 N(newton)
What is the mass of an object if it took 270 Joules of work to move it 15 meters?
A. 1.8 kg
B. 18 kg
C. 4050 kg
D. 39,690 kg
Answer:
Explanation:g
the mass of an object if it took 270 Joules of work to move it 15 meters is 1.83 Kg.
What is mass ?A body's mass is an inherent quality. Prior to the discovery of the atom and particle physics, it was widely considered to be tied to the amount of matter in a physical body. It was discovered that, despite having the same quantity of matter in theory, various atoms and elementary particles had varied masses. There are several conceptions of mass in contemporary physics that are theoretically different but practically equivalent. The resistance of the body to acceleration (change of velocity) in the presence of a net force may be measured experimentally as mass.[1] The gravitational pull an item has on other bodies is also influenced by its mass.
The kilogramme (kg) is the SI's fundamental unit of mass. The concept of mass differs throughout physics.
Given,
Work W = 270 joules
Displacement s = 15 m
Work = F.s
270 = F × 15
F = 18 N
F = m*g
18 N = m*9.8
m = 1.83 Kg
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As you drive down the road at 14 m/s, you press on the gas pedal and speed up with a uniform acceleration of 1.22 m/s^2 for 0.65 s. If the tires on your car have a radius of 33 cm, what is their angular displacement during this period of acceleration?
The angular displacement of the car tires during the 0.65-second acceleration period is 7.17 radians.
To find the angular displacement, follow these steps:
1. Calculate the final velocity: vf = vi + at, where vi = 14 m/s, a = 1.22 m/s², and t = 0.65 s.
2. Calculate the average velocity: v_avg = (vi + vf) / 2.
3. Find the linear displacement: d = v_avg * t.
4. Convert linear displacement to angular displacement: θ = d / r, where r = 0.33 m (converted from 33 cm).
so θ = 2.3661/0.33
=> 7.17 radians
By following these steps, we determine the angular displacement of the car tires during the period of acceleration.
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How much electricity is used to boil 600 g of water if the kettle has a power of 1500 W? The water boiled for 3 minutes and 9 seconds. Water density is 1000 kg/m3, specific heat of water is 4200 J/(kg· oC).
Answer:
The electrical energy consumed in boiling the water is 0.0788 kWh
Explanation:
Given;
mass of the water, m = 600 g = 0.6 kg
power rating of the kettle, P = 1500 W = 1.5 kW
specific heat capacity of water, c = 4,200 J/kg⁰C
density of water, = 1000 kg/m³
time taken to boil the water, t = 3 mins + 9 s = (3 x 60s) + 9 s = 180 s + 9 s = 189 s = \(189 \ s \times \frac{1 hr}{3.600 \ s} = 0.0525 \ hr\)
The electrical energy consumed in boiling the water is calculated as;
E = P x t
E = 1.5 kW x 0.0525 hr
E = 0.0788 kWh
Therefore, the electrical energy consumed in boiling the water is 0.0788 kWh
Stars begin burning helium to carbon when the temperature rises in the core. This temperature increase is caused by.
When the core temperature rises, stars start burning helium to carbon. This rise in temperature is brought on by. creating helium by fusing hydrogen in a shell.
What occurs when a star begins to burn helium?When carbon and helium are combined, oxygen is created. Helium burns to create carbon. The star's surface temperature rises as it develops into a horizontal branch star as its core becomes rich in carbon and oxygen nuclei. When their brilliance remains constant, stars with masses larger than or equal to the Sun shrink and get hotter.
What changes as the core temperature of a star rises?When it becomes heated enough, hydrogen in a shell outside the core can begin to fuse. The exterior is expanding.
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A cannon ball is launched from the edge of a cliff that is 6 m above the ground. It has a
horizontal velocity of 10.2 m/s. It takes 3.7 s for the cannonball to reach the ground.
How far from the cliff does it land?
Record your answer to the nearest hundredth.
Answer:
Sh = Vh t horizontal distance traveled
Sh = 10.2 m/s * 3.7 s = 37.74 m