The solid sphere will go the farthest up the incline because it has the smallest moment of inertia, allowing for a larger proportion of kinetic energy to be used in translational motion compared to a solid disk and a hoop with the same mass and radius.
The situation involves a solid ball, a solid disk, and a hoop rolling up an incline which raises a fascinating question about rotational motion and energy conservation in physics. They all have the same mass, radius, and initial translational speed, so the one that will go farthest up the incline is the one with the smallest rotational inertia relative to its mass. When an object rolls without slipping, kinetic energy is divided between translational motion (linear movement) and rotational motion (spinning).
The moment of inertia (I) characterizes an object's resistance to changes in its rotational motion. The moment of inertia is different for each object:
For a hoop, I = MR²
For a solid disk, I = (1/2)MR²
For a solid sphere, I = (2/5)MR2²
Since all objects have the same mass (M) and radius (R), the one with the smallest 'I' will have the most translational kinetic energy, and therefore, it will go the farthest up the incline before stopping. The solid sphere has the smallest moment of inertia, meaning it has a higher proportion of its kinetic energy in translational form than the disk and the hoop. As such, the solid sphere will reach the highest point on the incline before coming to a stop.
A satellite of mass 6500 kg orbits the earth in a circular orbit of radius of 7.5 106 m (this is above the earth's atmosphere).the mass of the earth is 6.0 1024 kg. what is the speed of the satellite?
The two forces, centripetal force and gravity are
equal
So, G M m / r^2 = (m V^2) / r
so sqrt (GM/r)= V
G is a gravitational constant which is G=6,67.10exp(-11)
Sqrt (6.67 x 10^-11) (6 x 10^24)/7.5 x 10^6
so V= 7.30479295e9 or 7305 m/s
Final answer:
To find the speed of a satellite in Earth orbit, we use the formula for orbital speed with the Earth's mass and the orbit's radius. After calculation, the satellite's speed is found to be approximately 7357.7 m/s.
Explanation:
The question asks for the speed of a satellite of mass 6500 kg orbiting the Earth in a circular orbit with a radius of 7.5 × 106 m. The mass of the Earth is given as 6.0 × 1024 kg. To find the speed of the satellite, we use the formula for the orbital speed:
v = √(GM/r)
where v is the orbital speed, G is the gravitational constant (6.674 × 10−12 Nm2/kg2), M is the mass of the Earth, and r is the radius of the orbit. Plugging in the given values:
v = √((6.674 × 10−12 × 6.0 × 1024) / 7.5 × 106)
After performing the calculation, we find that the speed of the satellite is approximately 7357.7 m/s.
A fixed mass of an ideal gas is heated from 50 to 80℃ at a constant pressure of (a) 1 atm and (b) 3 atm. for which case do you think the energy required will be greater? why?
The energy required to heat a fixed mass of an ideal gas from 50 to 80℃ is the same at both 1 atm and 3 atm, as it depends on the gas's heat capacity and the temperature change, not pressure.
Explanation:The energy required to heat a fixed mass of an ideal gas from 50 to 80℃ would be the same for both cases of constant pressure at 1 atm and 3 atm. The reason behind this is that the amount of energy required to raise the temperature of an ideal gas is dependent on its heat capacity and the change in temperature, not the pressure at which it is heated. In both cases (a) and (b), the change in temperature is the same, so the energy required will also be the same.
What is the main reason why many nuclear power plants are located near bodies of water?
A 58.5-kg athlete leaps straight up into the air from a trampoline with an initial speed of 8.8 m/s. the goal of this problem is to find the maximum height she attains and her speed at half maximum height.
A sealed container holding 0.0262 l of an ideal gas at 0.989 atm and 72.3 °c is placed into a refrigerator and cooled to 40.1 °c with no change in volume. calculate the final pressure of the gas.
To calculate the final pressure of a gas after cooling, the combined gas law is used. The final pressure of the gas cooled from 72.3 0C to 40.1 0C in a constant volume is calculated to be 0.896 atm.
The student is asking to calculate the final pressure of an ideal gas after it is cooled from 72.3 0C to 40.1 0C without changing its volume. To find the final pressure, you can use the combined gas law, which relates the pressure, volume, and temperature of a gas. The combined gas law is P1/T1 = P2/T2, where P1 and T1 are the initial pressure and temperature, and P2 and T2 are the final pressure and temperature. Given that the initial pressure (P1) is 0.989 atm and the initial temperature (T1) is 345.45 K (72.3 0C + 273.15), and the final temperature (T2) is 313.25 K (40.1 0C + 273.15), and the volume remains constant, we can solve for the final pressure (P2).
Initial pressure (P1): 0.989 atm
Initial temperature (T1): 345.45 K
Final temperature (T2): 313.25 K
Final pressure (P2): ?
To solve for P2, we rearrange the combined gas law to P2 = P1 imes (T2 / T1):
P2 = 0.989 atm imes (313.25 K / 345.45 K)
P2 = 0.989 atm imes 0.906 = 0.896 atm (rounded to three significant digits)
Therefore, the final pressure of the gas would be 0.896 atm after it is cooled to 40.1 0C.
KCl(aq) + AgF(aq) → AgCl(s) + KF(aq) If 0.45 moles of potassium chloride are consumed completely and we start with twice as much silver fluoride, how many moles of solid silver chloride will be produced?
Answer
0.45 moles of silver chloride will be produced
Explanation
The mole ratios for the reactions are 1 for all reactants and reactants. This means that 1 mol of potassium chloride will react with 1 mol of silver fluoride to produce 1 mol of silver chloride and 1 mol of potassium fluoride.
If only 0.45 mol of potassium chloride is available to react with 0.9 mol of silver fluoride, the potassium chloride will be the limiting reagent in this reaction. This means that only 0.45 mol of each of the product will be formed. This means that only 0.45 mol of silver chloride will be formed.
.
how does a shovel make work easier for digging a hole?
If electrons of energy 12.8 ev are incident on a gas of hydrogen atoms in their ground state, photons can be emitted by the excited gas. how many different photon energies could you possibly observe?
Electrons with 12.8 eV energy can excite hydrogen atoms to several higher energy levels without ionizing them. Upon de-excitation, these atoms can emit a series of photons, each with a unique energy corresponding to the energy differences between these levels. Therefore, a variety of different photon energies could be observed, each corresponding to specific transitions between the energy levels.
When electrons of energy 12.8 eV are incident on hydrogen atoms in their ground state, the electrons can be excited to higher energy levels. To determine how many different photon energies can be observed, we must consider the energy levels that 12.8 eV can reach from the ground state. The ground state of hydrogen is -13.6 eV. An electron in this state can be excited to energy levels such as -3.4 eV (second energy level), -1.51 eV (third energy level), and -0.85 eV (fourth energy level), and so on, as long as the energy is less than 12.8 eV. However, an important point to note is that the energy required to excite an electron must match the energy difference between these levels precisely. Upon returning to the ground state or another lower energy state, these electrons will emit photons with energies corresponding to the differences in energies between these levels.
which jet stream affects weather in south Africa
Johnny was playing baseball with his friends and they noticed a bolt of lightning. They heard thunder seven seconds later. How far away is the storm?
2,317 meters on edg!!
The standard unit of work in the metric system is named after the scientist _____. 1 Albert Einstein 2 James Joule 3 Isaac Newton 4 James Watt
The second law of thermodynamics dictates that ____. 1 point low-quality energy becomes static some high-quality energy is always degraded the amount of energy in the universe is constantly changing low-quality energy is required to get high-quality energy
Final answer:
The second law of thermodynamics states that in any energy transfer, some high-quality energy is always degraded, leading to increased disorder or entropy in the system.
Explanation:
The second law of thermodynamics dictates that some high-quality energy is always degraded to a lower quality form during energy transfers. This law further implies that no energy transfer is completely efficient, thus resulting in an increase in entropy, or disorder, within a system. This is a fundamental concept in physics that puts an arrow on the transformations of matter and energy, signifying a one-way flow from usable to less-usable forms of energy. It is most commonly observed through heat loss, where energy spontaneously transfers from a hotter object to a cooler one, increasing the disorder of the system.
A policeman's whistle has a _____. high pitch low amplitude low pitch
A policeman's whistle has a _____.
high pitch
A 2.03 kg book is placed on a flat desk. suppose the coefficient of static friction between the book and the desk is 0.522 and the coefficient of kinetic friction is 0.283. how much force is needed to begin moving the book?
A 2.03 kg book is placed on a flat desk, with a coefficient of static friction between the book and the desk of 0.522 and a coefficient of kinetic friction of 0.283, requires a force of 10.4 N to start moving.
First, we have to calculate the Normal force (N), which, in a flat horizontal desk, has the same magnitude and opposite sense as the weight of the object (W). We can calculate its magnitude using the following expression.
[tex]|N| = |W| = m \times g = 2.03 kg \times \frac{9.81m}{s^{2} } = 19.9 N[/tex]
where,
m: mass of the objectg: Earth's gravityTo begin moving the book, we must overcome the highest static friction force (F), which can be calculated using the following expression.
[tex]F = \mu \times N = 0.522 \times 19.9 N = 10.4 N[/tex]
where,
μ: coefficient of static frictionA 2.03 kg book is placed on a flat desk, with a coefficient of static friction between the book and the desk of 0.522 and a coefficient of kinetic friction of 0.283, requires a force of 10.4 N to start moving.
You can learn more about friction here: https://brainly.com/question/18754989
The value for the index of refraction for any material must be
Wrap a fur coat around a thermometer. how does the temperature change?
Please help!
Explain what happens to the pitch of a cell phone ring when the wavelength of a sound wave increases.
Answer:
Pitch decreases
Explanation:
The number of oscillation or number of vibration per unit time is called the frequency of a sound wave. The frequency of sound wave is also called the pitch of the wave. It is denoted by f or [tex]\nu[/tex]. Its SI unit is hertz or Hz.
The speed of the sound wave is given by :
[tex]v=\nu\times \lambda[/tex]
It is clear form the above expression that the pitch of the sound wave is inversely proportional to the wavelength.
So, when the wavelength of a sound wave increases its pitch decreases.
Suppose we are told that the acceleration a of a particle moving with uniform speed v in a circle of radius r is proportional to some power of r, say rn, and some power of v, say vm. Determine the values of n and m and write the simplest form of an equation for the acceleration.
Answer:
Acceleration, [tex]a=k\dfrac{v^2}{r}[/tex]
Explanation:
It is given that, the acceleration a of a particle moving with uniform speed v in a circle of radius r is proportional to some power of r and some power of v. Mathematically, it can be written as :
[tex]a\propto r^nv^m[/tex]
or
[tex]a=r^nv^m[/tex]...........(1)
Dimensional formula of a = [tex][LT^{-2}][/tex]
Dimensional formula of r = [tex][L][/tex]
Dimensional formula of v = [tex][LT^{-1}][/tex]
Using dimensional analysis in equation (1) as :
[tex][LT^{-2}]=[L]^n[LT^{-1}]^m[/tex]
[tex][LT^{-2}]=[L]^{n+m}[T^{-m}][/tex]
Equation both sides of equation as :
n + m = 1, m = 2
This gives, n = -1
Use the value of m and n in equation (1) in order to get the formula :
[tex]a=kr^{-1}v^2[/tex]
[tex]a=k\dfrac{v^2}{r}[/tex]
Hence, this is the required solution.
What does it mean to say that science is a “systematic” process?
Science is a systematic process, which means it follows a careful method that involves observation and experimentation. Through experimentation, information is collected that supports or refutes a scientist’s hypothesis.
edginuity answer
A torque applied to a flywheel causes it to accelerate uniformly from a speed of 161 rev/min to a speed of 853 rev/min in 5.0 seconds. determine the number of revolutions n through which the wheel turns during this interval. (suggestion: use revolutions and minutes for units in your calculations.)
Estimate the first three standing-wave frequencies of the vocal tract. use v=344m/s. (the answers are only an estimate, since the position of lips and tongue affects the motion of air in the vocal tract.)
A spring with a spring constant of 95 n/m is compressed a distance of 0.45 m from its relaxed position. by how much does the spring\'s potential energy change?
The potential energy change of a spring with a spring constant of 95 N/m compressed by 0.45 m is approximately 9.62 J, calculated using the formula U = 1/2 kx².
Explanation:When a spring with a spring constant of 95 N/m is compressed a distance of 0.45 m from its relaxed position, the potential energy of the spring changes according to the formula for elastic potential energy, U = 1/2 kx², where 'k' is the spring constant and 'x' is the distance of compression or extension from the equilibrium position. In this case, the spring's potential energy change is calculated as U = 1/2 × 95 N/m × (0.45 m)².
By computing this, U = 1/2 × 95 × 0.45² = 0.5 × 95 × 0.2025 J. This results in U = 9.61875 J, so the potential energy of the spring changes by approximately 9.62 J.
Learn more about Spring Potential Energy here:https://brainly.com/question/29510087
#SPJ12
In order to measure motion,one needs to observe?
A.an object’s position at different times.
B.an object’s position one time.
C.an object’s size and direction.
A property unique to a conducting substance that determines its resistance is called
Answer:
Electrical Resistivity
Explanation:
As we know that all different type of conductors has its different unique resistivity due to which all conductors will show different resistance for same shape and size.
As we know that the resistance of a conductor is given as
[tex]R = \rho\frac{L}{A}[/tex]
here we know
[tex]\rho[/tex] = resistivity
L = length of conductor
A = crossectional area of conductor
so here for all conductors the resistivity is unique property due to which all will show different resistance
The potential energy of a book on a shelf is 50 J. If the book is now on the floor (below the shelf), its potential energy is
Answer:
shelf a is increase shelf b is stay the same and shelf c is decrease
Explanation:
i did it on edu
The maximum kinetic energy of photoelectrons is 3.10 ev . when the wavelength of the light is increased by 50%, the maximum energy decreases to 1.50 ev . part a what is the work function of the cathode?
The work function of the cathode is found to be 0.10 eV, calculated by using the relationship between the maximum kinetic energy of photoelectrons, the photon energy, and the work function within the context of the photoelectric effect.
The question involves finding the work function of a cathode in a photoelectric effect scenario. We know that the maximum kinetic energy (KE) of photoelectrons is related to the photon energy (hf) and the work function (
W) as KE = hf - W. We were given that the kinetic energy decreased to 1.50 eV when the wavelength increased by 50%, which implies the initial wavelength corresponds to a photon energy that gives photoelectrons a kinetic energy of 3.10 eV. Let's express these energies in the equation form:
KE1 = hf1 - W, where KE1 = 3.10 eV
KE2 = hf2 - W, where KE2 = 1.50 eV and hf2 = hf1/1.5 (since the wavelength increased by 50%, energy decreases by the same factor)
By subtracting the second equation from the first, we eliminate W and can solve for hf1. Once we have hf1, we can solve for the work function using either of the equations:
3.10 eV - 1.50 eV = hf1 - hf1/1.5
1.60 eV = 0.5 * hf1
hf1 = 3.20 eV
Work function W = hf1 - KE1 = 3.20 eV - 3.10 eV = 0.10 eV
The work function of the cathode is therefore 0.10 eV.
A volleyball is dropped from a cliff and a soccer ball is thrown upward from the same position. When each ball reaches the ground at the bottom of the cliff, the volleyball will hit the ground with greater velocity.
Using _________ permits scientists to temporarily enhance or depress activity in a specific area of the brain. A. TMS B. EEG C. MRI D. ESB
Using TMS permits scientists to temporarily enhance or depress activity in a specific area of the brain.
What is Transcranial magnetic stimulation ?
Transcranial magnetic stimulation (TMS) is a noninvasive procedure that uses magnetic fields to stimulate nerve cells in the brain to improve symptoms of depression. TMS is typically used when other depression treatments haven't been effective.
The electromagnet painlessly delivers a magnetic pulse that stimulates nerve cells in the region of your brain involved in mood control and depression. It's thought to activate regions of the brain that have decreased activity in depression.
a single Transcranial magnetic stimulation (TMS) pulse can cause disruption in the contralateral hand muscles for ∼200 ms. These different temporal windows of disruption across different brain regions
Transcranial magnetic stimulation targets the activity of nerve cells in your brain, which may alleviate depression symptoms. It could also have benefit for disorders like OCD, anxiety, and PTSD as well.
hence , correct option is A. TMS (Transcranial magnetic stimulation)
To learn more about Transcranial magnetic stimulation here
https://brainly.com/question/10792839?referrer=searchResults
#SPJ2
A forklift raises a 1020 N crate 3.50 m up to a shelf l. How much work is done by the forklift on the crate? The forklift does J work on the crate.
A forklift raises a 1,020 N crate 3.50 m up to a shelf. How much work is done by the forklift on the crate?
The forklift does
⇒ 3,570 J of work on the crate. the answer is 3570
Answer : Work done on the crate is 3570 J
Explanation :
Force acting on forklift due to its mass is 1020 N
Distance covered in lifting it, d = 3.5 m
Mathematically, the work done is defined as :
[tex]W=F\times d[/tex]
So, [tex]W=1020\ N\times 3.5\ m[/tex]
[tex]W=3570\ J[/tex]
The forklift does 3570 J work on the crate.
Hence, this is the required solution.
A 60-kg skier starts from rest from the top of a 50-m high slope. if the work done by friction is -6.0 kj, what is the speed of the skier on reaching the bottom of the slope?
Answer:
27.9 m/s
Explanation:
You want the speed of a 60 kg skier at the bottom of a 50 m high slope if 6 kJ of energy is lost to friction.
Potential energyThe potential energy of the skier at the top of the slope is ...
PE = mgh
PE = (60 kg)(9.8 m/s²)(50 m)
Kinetic energyThe kinetic energy of the skier at the bottom of the slope is this potential energy, less the energy lost due to friction.
KE = PE -6000 J
That is related to the skier's speed by ...
KE = 1/2mv²
So, the speed is ...
[tex]v^2=\dfrac{2\cdot KE}{m}=\dfrac{2(mgh-6000)}{m}=2\left(gh-\dfrac{6000}{m}\right)\\\\\\v^2=2\left(9.8\cdot50-\dfrac{6000}{60}\right)=780\\\\\\v=\sqrt{780}\approx27.9\quad\text{m/s}[/tex]
The speed of the skier at the bottom of the slope is about 27.9 m/s.