The table below lists four uniform objects, each with the same mass and radius. Two of the objects are selected: first, object 1 and then object 4. Each object is rolled without slipping with the same kinetic energy. Find the factor 6 relating their linear speeds if v₁= Bv4. [Hint: The object's masses and radii cancel, so they aren't needed to solve the problem.] Number 1 2 3 4 B = Object solid cylinder thin hoop solid sphere hollow sphere

A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its center. Rotating flywheels provide a means for storing energy in the form of rotational kinetic energy and are being considered as a possible alternative to batteries in electric cars. The gasoline burned in a 189-mile trip in a typical midsize car produces about 1.12 x 10⁹ J of energy. How fast would a 48.7-kg flywheel with a radius of 0.290 m have to rotate to store this much energy? Give your answer in rev/min. Number Units

Two masses, m₁ = 31.0 kg and mp = 42.0 kg are connected by a rope that hangs over a pulley (as in the figure(Figure 1)). The pulley is a uniform cylinder of radius R = 0.316 m and mass 3.3 kg. Initially, mis on the ground and mp rests 2.5 m above the ground. igure MA MB 4 2.5 m 1 of 1 Part A If the system is now released, use conservation of energy to determine the speed of mp just before it strikes the ground. Assume the pulley is frictionless. Express your answer using three significant figures and include the appropriate units. V = Di Value Submit μA Drovide Foodhark Request Answer P Pearson Units Review | Constants ?

A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its center. Rotating flywheels provide a means for storing energy in the form of rotational kinetic energy and are being considered as a possible alternative to batteries in electric cars. The gasoline burned in a 340-mile trip in a typical midsize car produces about 4.31 x 10 J of energy. How fast would a 34.8-kg flywheel with a radius of 0.577 m have to rotate to store this much energy? Give your answer in rev/min.

A spherical shell with 0.13 kg of mass and 0.050 m of radius rolled without slipping on a horizontal floor. A ramp was placed on the floor. The spherical shell rolled up the incline without slipping to a vertical height of 0.46 m before stopping. The ramp has a length of 1.8 m along the incline. Find the speed of the spherical shell before it reached the ramp. Hint: the spherical shell has rotational kinetic energy. The rotational inertia of a spherical shell is (2/3)mr^2.

A bicycle rides past you at a speed of 7.80 m/s. Its wheel has a diameter of 42.9 cm and a moment of inertia of 0.268 kg m2. What is the rotational kinetic energy (in Joules) of the wheel?

A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its center. Rotating flywheels provide a means for storing energy in the form of rotational kinetic energy and are being considered as a possible alternative to batteries in electric cars. The gasoline burned in a 270-mile trip in a typical midsize car produces about 1.64 x 109 J of energy. How fast would a 11.4-kg flywheel with a radius of 0.238 m have to rotate to store this much energy? Give your answer in rev/min.

A constant torque of 3.4 N.m is applied to an object , which undergoes 28 revolutions. Calculate the work done in Joules, with a single digit precison. Your Answer: Answer

A 1.00 kg solid, uniform disk rolls without slipping across a level surface, translating at 3.00 m/s. If the disk's radius is 0.150 m, find the following. HINT (a) the disk's translational kinetic energy (in J) (b) the disk's rotational kinetic energy (in J)

A clay cylinder of radius 21 cm on a potter's wheel spins at a constant rate of 15 rev/s. The potter applies a normal force of 15.3 N to the clay with his hands where the coefficient of friction is 0.1 between his hands and the clay. What is the power (in W) that the potter has to deliver to the wheel to keep it rotating at this constant rate?