1) A solid sphere of radius = 10 cm and mass = 2 kg is going down an inclined plane of height = 5 m. The angle of the inclined plane = 35 degrees. a) What is the final Total kinetic energy of the sphere? 98J b) Calculate the final Vcm and angular of the sphere and the Total velocity at the top point. Vcm=8.37m/s w=83.67 rads/s Vt=16.73m/s c) What are the final Linear (translational) and Rotational kinetic energies of...
A 1.3-kg 16-cm-diameter solid sphere is rotating about its diameter at 66 rev/min. (a) What is its kinetic energy? =J (b) If an additional 5.0 mJ of energy are supplied to the rotational energy, what is the new angular speed of the ball? =rev/min
A 1.6-kg 18-cm-diameter solid sphere is rotating about its diameter at 77 rev/min. (a) What is its kinetic energy? 218.4 Incorrect: Your answer is incorrect. J (b) If an additional 5.0 mJ of energy are supplied to the rotational energy, what is the new angular speed of the ball? rev/min
A grinding wheel is in the form of uniform solid disk of radius 7.00 cm and mass 2.00 kg (I=1/2(mr^2)). It starts from rest and rotates with constant angular acceleration of 12.0 rad/sec^2. A) How long does the wheel take to reach its final operating speed of 1200 rev/min? B) Through how many revolutions does it turn while accelerating? C) calculate the rotational kinetic energy of the wheel at its operating speed.
A solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping down a 35° incline that is 7.9 m long. Assume it started from rest. The moment of inertia of a sphere is given by I = 2/5MR2. (a) Calculate the linear speed of the sphere when it reaches the bottom of the incline. (b) Determine the angular speed of the sphere at the bottom of the incline.
An 8.10-cm-diameter, 300 g solid sphere is released from rest at the top of a 1.60-m-long, 16.0 ? incline. It rolls, without slipping, to the bottom. a)What is the sphere's angular velocity at the bottom of the incline? b)What fraction of its kinetic energy is rotational?
An 8.80-cm-diameter, 340 g solid sphere is released from rest at the top of a 1.60-m-long, 20.0 ∘ incline. It rolls, without slipping, to the bottom. Part A What is the sphere's angular velocity at the bottom of the incline? Part B What fraction of its kinetic energy is rotational?
assume mars to be a uniform solid sphere of mass 6.42 x 10^23 kg and radius 3390 km. The length of day on mars is 24 hours and 37 minutes. Relative to its axis of rotation, calculate the planet's (a) angular speed (b) rotational kinetic energy (c) angular momentum
A solid sphere with a mass of 2 kg and a radius of 30 cm rolls down a 15° incline. What is the acceleration of the sphere?
A solid homogeneous sphere of mass M = 4.70 kg is released from rest at the top of an incline of height H=1.21 m and rolls without slipping to the bottom. The ramp is at an angle of θ = 27.7o to the horizontal. a) Calculate the speed of the sphere's CM at the bottom of the incline. b) Determine the rotational kinetic energy of the sphere at the bottom of the incline.