A person is making homemade ice cream. She exerts a force of magnitude 26 N on the free end of the crank handle on the ice-cream maker, and this end moves on a circular path of radius 0.26 m. The force is always applied parallel to the motion of the handle. If the handle is turned once every 2.0 s, what is the average power being expended?
P = 31.83 W
Our data are,
Magnitude of the force F = 26 N
Radius of the circular path r = 0.26 m
The angle between force and handle °
Time t = 2 s
We know that the formula to find the velocity is given by
We know also that the formula to find the power is given by,
A commercial aircraft is flying westbound east of the Sierra Nevada Mountains in California. The pilot observes billow clouds near the same altitude as the aircraft to the south, and immediately turns on the "fasten seat belt" sign. Explain why the aircraft experiences an abrupt loss of 500 meters of altitude a short time later.
Billow clouds provide a visible signal to aviation interests of potentially dangerous turbulent sky since they indicate instability in air currents.
Billow clouds are created in regions that are not stable in a meteorological sense. They are frequently present in places with air flows, and have marked vertical shear and weak thermal separation and inversion (colder air stays on top of warmer air). Billow clouds are formed when two air currents of varying speeds meet in the atmosphere. They create a stunning sight that looks like rolling ocean waves. Billow clouds have a very short life span of minutes but they provide a visible signal to aviation interests of potentially dangerous turbulent sky since they indicate instability in air currents, which although may not affect us on the ground but is a concern to aircraft pilots. The turbulence due to the Billow wave is the only logical explanation for the loss of 500 m in altitude of the plane.
Am example of a good electrical isulator is a.rubber b.iron c.copper d.aluminum
The answer would be rubber because the other 3 are conductors. Plastic, cloth, and wood are also insulators. Hope this helps!
What is the correct formula for barium nitride? A. Ba3N2, в. BaN с. Ва2N3 D. Ba2N
The formula for barium nitride is Ba(NO3)2
The rms speed of the molecules in 1.3 g of hydrogen gas is 1600 m/s.Part A. What is the total translational kinetic energy of the gas molecules? Part B. What is the thermal energy of the gas? Part C. 500J of work are done to compress the gas while, in the same process, 2000J of heat energy are transferred from the gas to the environment. Afterward, what is the rms speed of the molecules?
a. The total translational kinetic energy of the gas molecules is 1672 Joules.
b. The thermal energy of a gas molecule is equal to 1672 Joules.
c. The rms speed of the gas molecules is equal to 512.83 m/s.
Given the following data:
Mass of hydrogen gas = 1.3 gram.
Speed (rms), c = 1600 m/s.
Work done = 500 Joules.
Quantity of energy = 2000 Joules.
Mass of proton = kg.
Avogadro constant =
a. To calculate the total translational kinetic energy of the gas molecules:
How to calculate translational kinetic energy.
First of all, we would determine the number of moles of hydrogen gas contained in 1.3 grams:
Note:Molar mass of hydrogen gas = 2 g/mol.
Number of moles = 0.65 moles.
Next, we would determine the number of molecules in 0.65 moles of hydrogen gas:
1 mole = molecules.
0.65 mole = X molecules.
Cross-multiplying, we have:
X = = molecules.
Mathematically, total translational kinetic energy is given by this formula:
Substituting the given parameters into the formula, we have;
T = 1,671.68 ≈ 1672 Joules.
b. In Science, the total translational kinetic energy is equal to the thermal energy of a gas molecule.
Thermal energy = 1672 Joules.
c. To calculate the rms speed of the gas molecules:
The total translational kinetic energy and thermal energy of 1.3g of hydrogen gas with rms speed of 1600 m/s is 5.01x10^25 Joules. After work of 500 Joules is done to compress the gas and 2000 Joules of heat energy are transferred out, the kinetic and thermal energy remains the same, thus the rms speed remains largely the same (with a negligible change due to roundoff errors).
You're asking about the behavior of a hydrogen gas in terms of its kinetic and thermal energy, as well as changes in its root mean square (rms) speed as work is done to compress the gas and heat is transferred out of it.
Part A: The total translational kinetic energy can be calculated using the formula 1/2*m*v^2, where m is the mass and v is the speed. For hydrogen in monoatomic gas, 1.3g of hydrogen is about 0.65 moles. 1 mole's mass is about 1g, so 0.65 moles would be about 0.65g. Convert this to kilograms: 0.65g = 0.00065kg. To find the individual molecule's kinetic energy, you multiply by Avogadro's number (6.02*10^23) as there are that many molecules in a mole. Therefore, the Total translational kinetic energy = 1/2 * 0.00065 kg * (1600 m/s)^2 * 6.02x10^23 = 5.01x10^25 Joules.
Part B: At equilibrium, the thermal energy of a gas is equal to its kinetic energy, so the thermal energy would also be 5.01x10^25 Joules.
Part C: According to the principle of energy conservation, the final kinetic (and thus, thermal) energy of the gas will be its initial energy plus the work done on it minus the heat transferred out of it. Therefore, the final energy = 5.01x10^25 Joules + 500 Joules - 2000 Joules = 5.01x10^25 Joules. To find the new rms speed, you set this equal to the kinetic energy formula and solve for v. Doing so gets you a modulus change in the root mean square speed. Please note that this involves some simplifying assumptions and may not reflect what would happen in a more complex system.
Two charged particles are separated by 10 cm. suppose the charge on each particle is doubled. By what factor does the electric force between the particles change?
The electric force increases by a factor of 4.
The electric force between two charges and separated a distance d can be calculated using Coulomb's Law:
where is the Coulomb constant.
If the value of each charge is doubled, then we will have a force between them which is:
So the new force is 4 times larger than the original force.
Doubling the charge on each particle increases the electric force between them by a factor of 4.
The force between two charged particles is given by Coulomb's Law, which states that the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. So, if we denote the electric force as F, the charges as q1 and q2, and the distance as r, we can write Coulomb's law as F = k* q1*q2/r^2, where k is a constant.
Now if you double the charges (q1 and q2 become 2q1 and 2q2), and use these values in the formula, we get Fnew = k*(2q1) *(2q2)/r^2 = 4 * k*q1*q2/r^2 = 4F.
So, by doubling the charge on each particle, the electric force between them is multiplied by the factor of 4. So, the force increases fourfold.