A solid sphere is pushed while being given topspin so that it slides at time t=0 with initial velocityVo = 10 m/s [W] and rotates with initial angular velocity @ = 500 rad/s [S], as shown at right. Thesphere has mass m = 1.0 kg, radius R = 0.03 m, moment of inertia I = ²5 mR² = 0.00036 kg-m²,coefficient of kinetic friction µk = 0.50, and coefficient of static friction µ = 0.70.What is the speed of the sphere after it begins to roll?@

Answered: Image /qna-images/answer/79a161c9-f5ec-449e-b310-eb873d2da513.jpg

Answered: A solid sphere is pushed while being…

Similar questions

A student sits on a rotating stool holding two 2.7-kg objects. When his arms are extended horizontally, the objects are 1.0 m from the axis of rotation and he rotates with an angular speed of 0.75 rad/s. The moment of inertia of the student plus stool is 3.0 kg · m2 and is assumed to be constant. The student then pulls in the objects horizontally to 0.38 m from the rotation axis. (a) Find the new angular speed of the student. rad/s 1.677 (correct)(b) Find the kinetic energy of the student before and after the objects are pulled in. before ?? after ???
A thin rod has a length of 0.537 m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.778 rad/s and a moment of inertia of 1.10 x 10³ kg-m². A bug standing on the axis decides to crawl out to the other end of the rod. When the bug (whose mass is 5 x 10-3 kg) gets where it's going, what is the change in the angular velocity of the rod?
Calculate the rotational inertia of a meter stick, with mass 0.67 kg, about an axis perpendicular to the stick and located at the 39 cm mark. (Treat the stick as a thin rod.) X kg · m2
You stand on a frictional platform that is rotating at 1.6 rev/s. Your arms are outstretched, and you hold a heavy weight in each hand. The moment of inertia of you, the extended weights, and the platform is 7.9 kg · m2. When you pull the weights in toward your body, the moment of inertia decreases to 3.7 kg · m2. (a) What is the resulting angular speed of the platform?(b) What is the change in kinetic energy of the system?(c) Where did this increase in energy come from? (Select all that apply.) -your internal energy -gravity -kinetic energy of the platform -mass of the weights -air resistance
A cord is wrapped around the rim of a wheel 0.300 m in radius, and a steady pull of 38.5 NN is exerted on the cord. The wheel is mounted on frictionless bearings on a horizontal shaft through its center. The moment of inertia of the wheel about this shaft is 5.35 kg⋅m2 Compute the angular acceleration of the wheel.
A system consists of a disk of mass 2.3 kg and radius 48 cm upon which is mounted an annular cylinder of mass 1.3 kg with inner radius 20 cm and outer radius 32 cm (see below). The system rotates about an axis through the center of the disk and annular cylinder at 12 rev/s. axis 48 cm 32 cm 20 cm (a) What is the moment of inertia of the system (in kg • m2)? kg · m2 (b) What is its rotational kinetic energy (in J)?
A playground merry-go-round of radius R = 2.00 m has a moment of inertia I = 250 kg · m2 and is rotating at 10.0 rev/min about a frictionless, vertical axle. Facing the axle, a 25.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round?
You spin a disk, giving it an initial angular velocity of 2.50 rad/s clockwise. After you give it that initial spin, the disk has a constant angular acceleration of 0.400 rad/s? counterclockwise. (a) How much time passes before the disk reverses direction? (b) What is the disk's angular displacement, relative to its starting position, at the instant it comes instantaneously to rest? rad (c) At t = 12.0 s after you gave it its initial angular velocity, what is the disk's angular velocity? Use a positive sign for clockwise, and a negative sign for counterclockwise. rad/s
A playground merry-go-round with an axis at the center (radius R = 1.5 m and rotational inertia | = 1.33 x 103 kgm²) is initially rotating at angular velocity wo = 1.1 rad/s (counter-clockwise). A girl of mass m = 39 kg is running at speed vo = 3.3 m/s in a direction tangent to the disk of the merry-go-round, intending to jump on to the point labeled with the green "x" (she is indicated by the purple circle in the figure). What is the angular momentum of the girl relative to the rotation axis of the merry-go-round? Your answer should be in kgm²/s, but enter only the numerical part in the box. R Wo
A thin rod has a length of 0.900 m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.607 rad/s and a moment of inertia of 1.06 x 10-3 kg-m². A bug standing on the axis decides to crawl out to the other end of the rod. When the bug (whose mass is 5 x 10-3 kg) gets where it's going, what is the change in the angular velocity of the rod? Number i Units
A wheel of radius 0.35 m rotates in a clockwise sense about a fixed axle with negligible friction at an initial angular speed of 2.6 rad/s. The wheel's mass of 17 kg is concentrated in its rim. You apply a clockwise torque to the rotating wheel by pushing on the rim tangentially with a constant force of 22 N. Find the wheels angular speed, in radians per second, 0.085 seconds after you start pushing on the rim.
The figure above shows Einstein spinning on a platform. He is initially spinning at a rate of 1rev/s, and holding his hands a distance of R1 = 80.3 cm away from his body. He then pulls his arms in to a distance of R2 = 40cm, changing his rotational speed. In this problem you can model Einstein’s body as a cylinder with a moment of inertia I = 30MR2, where M is his mass (60kg), and R is the distance his hands are from his body. (Notice that the figure shows him holding weights, but we are going to assume they are massless, to make it simpler!)(a) If he draws his arms in very quickly, you can safely ignore any frictional force on the platform. Assuming this is true, how fast is he rotating after he draws his arms in? (b) In reality, after he draws his arms in friction will start to slow him down. If this small amount of friction is applying a torque of 4 Nm to the platform, how long would it take before Einstein stops moving?

SEE MORE QUESTIONS