Find the moment of inertia in kg-m^2 of a uniform gas sphere-mass density p of 0.687 kg/m^3 about an axis with a radius of 5m through its center.
Q: Find the moment of inertia in kg/m2 of a uniform gas sphere-mass density of 0.687 kg/m3 about an…
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Q: The oxygen molecule has a mass of 5.30 × 10-26 kg and a moment of inertia of 1.94×10-46 kg m2 about…
A: Given information:The mass of the oxygen molecule (m) = 5.30 × 10-26The rotational inertia of the…
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A: Givenm1 = 1.0 g = 1.0 x 10-3 kgm2 = 2.0 g = 2.0 x 10-3 kgv1 =3.0i^ - 2.0j^v2 =4.0j^ - 6.0k^v= Final…
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Q: Consider an oxygen molecule (O2) rotating in the xy plane about the z axis. The axis passes through…
A: mass of each oxygen atom (m) = 2.66×10-26 kg distance between two atoms (d) = 1.21×10-10 m distance…
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- The oxygen molecule has a mass of 5.30 × 10-26 kg and a moment of inertia of 1.94×10-46 kg m2 about an axis through its centre perpendicular to the lines joining the two atoms. Suppose the mean speed of such a molecule in a gas is 500 m/s and that its kinetic energy of rotation is two thirds of its kinetic energy of translation. Find the average angular velocity of the molecule.A uniform disk of mass 10.0 kg and radius of 0.248 m spins at 302 rev/min on a low-friction axle. It must be brought to a stop in 1.00 min by a brake pad that makes contact with the disk at an average distance of 0.218 m from the axis. The coefficient of friction between the pad and the disk is 0.499. A piston in a cylinder of diameter 5.00 cm presses the brake pad against the disk. Find the pressure required for the brake fluid in the cylinder. Pa Need Help? Read ItGlobal warming is a cause for concern because even small changes in the Earth’s temperature can have significant consequences. For example, if the Earth’s polar ice caps were to melt entirely, the resulting additional water in the oceans would flood many coastal areas. Model the polar ice as havingmass 2.30 × 1019 kg and forming two flat disks of radius 6.00 × 105 m. Assume the water spreads into an unbroken thin, spherical shell after it melts. Calculate the resulting change in the duration of one day both in seconds and as a percentage.
- Three cylinders with the same mass, the same length and the same external radius are initially resting on an inclined plane. The coefficient of sliding friction on the inclined plane, µ, is known and has the same value for all the cylinders. The first cylinder is empty (tube), the second is homogeneous filled, and the third has a cavity exactly like the first, but closed with two negligible mass lids and filled with a liquid with the same density like the cylinder's walls. The friction between the liquid and the cylinder wall is considered negligible. The density of the material of the first cylinder is n times greater than that of the second or of the third cylinder. Determine: The linear acceleration of the cylinders in the non-sliding case. Compare all the а) accelerations. b) Condition for angle a of the inclined plane so that no cylinders is sliding. The reciprocal ratios of the angular accelerations in the case of roll over with c) sliding of all the three cylinders. Make a…A spherical balloon filled with nitrogen is attached to a 2.5-m-long, 0.055-kg string. The balloon has radius 0.40 m. When released, it lifts a length h of the string when it comes to rest. Find h. Assume the mass of the balloon material is 0.251 kg.A helium-filled balloon (whose envelope has a mass of m=0.260 kg) is tied to a uniform string of length = 2.50 m and mass m = 0.049 9 kg. The balloon is spherical with a radius of r = 0.398 m. When released in air of temperature 20°C and density Pair = 1.20 kg/m³, it lifts a length h of string and then remains stationary as shown in the figure below. We wish to find the length of string lifted by the balloon. He (a) When the balloon remains stationary, what is the appropriate analysis model to describe it? O the ideal fluid model O a particle in equilibrium model a particle under constant velocity model O a particle under constant acceleration model (b) Write a force equation for the balloon from this model in terms of the buoyant force B, the weight F of the balloon, the weight FHe of the helium, and the weight F of the segment of string of length h. (Use any variable or symbol stated above along with the following as necessary: . Follow the sign convention that upward is the positive…
- A helium-filled balloon (whose envelope has a mass of m = 0.260 kg) is tied to a uniform string of length = 2.50 m and mass m = 0.049 9 kg. The balloon is spherical with a radius of r = 0.398 m. When released in air of temperature 20°C and density pair= 1.20 kg/m³, it lifts a length h of string and then remains stationary as shown in the figure below. We wish to find the length of string lifted by the balloon. He (a) When the balloon remains stationary, what is the appropriate analysis model to describe it? the ideal fluid model a particle in equilibrium model a particle under constant velocity model a particle under constant acceleration model (b) Write a force equation for the balloon from this model in terms of the buoyant force B, the weight F of the balloon, the weight Fe of the helium, and the weight F of the segment of string of length h. (Use any variable or symbol stated above along with the following as necessary: . Follow the sign convention that upward is the positive…Ed and his friends Edd and Eddy are building a launcher to throw metal slugs up into the air. A 1.35 kg metal cylinder is placed inside the top of a plastic tube, the lower end of which is sealed off by an adjustable plunger and comes to rest some distance above the plunger. The plastic tube has an inner radius of 2.00 cm and is frictionless. Neither the plunger nor the metal cylinder allows any air to flow around them. If the plunger is suddenly pushed upwards, increasing the pressure between the plunger and the metal cylinder by a factor of 1.25, what is the initial acceleration of the metal cylinder? Assume the pressure outside of the tube is 1.00 atm.A molecule in a gas undergoes about 1.0 × 109 collisions in each second. Suppose that (i) every collision is effective in deactivating the molecule rotationally and (ii) that one collision in 10 is effective. Calculate the width (in hertz) of rotational transitions in the molecule.
- State, for each of the following physical quantities, if it is a scalar or a vector: Volume, mass, speed, acceleration, density, number of moles, velocity, angular frequency, displacement, angular velocity.The terminal velocity of a copper ball of radius 2.0 mm falling througha tank of oil at 20 oC is 6.5 cm s-1. Compute the viscosity of the oil at 20 oC. Density of oil is 1.5 ×103 kg m-3. density of copper is 8.9 × 103 kg m-3.Spherical particles of a protein of density 1.8 g/cm3 are shaken up in a solution of 20°C water. The solution is allowed to stand for 1.0 h. If the depth of water in the tube is 5.0 cm, find the radius of the largest particles that remain in solution at the end of the hour.