An air puck of mass 0.24 kg is tied to a string and allowed to revolve in a circle of radius 0.9 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of 1.3 kg is tied to it. The suspended mass remains in equilibrium while the puck on the tabletop revolves.   (a) What is the tension in the string?  N (b) What is the force causing the centripetal acceleration on the puck?  N (c) What is the speed of the puck?  m/s

A 50.0-kg child stands at the rim of a merry-go-round of radius 2.90 m, rotating with an angular speed of 3.65 rad/s. (a) What is the child's centripetal acceleration? m/s2(b) What is the minimum force between her feet and the floor of the carousel that is required to keep her in the circular path? N(c) What minimum coefficient of static friction is required?Is the answer you found reasonable? In other words, is she likely to stay on the merry-go-round?

Two blocks of the same masses (m 1.5 kg) are attached to end of a rope that passes over a pulley %3D suspended from the ceiling. The pulley is a uniform disk (Idisk=MR?), with mass M = 3 kg and radius R = 20 cm. When the block is released and the cord unwinds, the acceleration of the blocks ( in m/s) is: m

A puck of mass m1 is tied to a string and allowed to revolve in a circle of radius R on a frictionless, horizontal table. The other end of the string passes through a small hole in the center of the table, and an object of mass m2 is tied to it (as shown). The suspended object remains in equilibrium while the puck on the tabletop revolves. Find symbolic expressions for (a) the tension in the string, (b) the radial force acting on the puck, and (c) the speed of the puck. (d) Qualitatively describe what will happen in the motion of the puck if the value of m2 is increased by placing a small additional load on the puck. (e) Qualitatively describe what will happen in the motion of the puck if the value of m2 is instead decreased by removing a part of the hanging load.

Vlad needs to draw water from a deep well. He is using a bucket that is connected by rope (negligible mass) to a wooden axle at the top of the well. By cranking a handle at the end of the axle, Vlad is able to unwind the rope around the axle and move the bucket downward. The radius of the axle is R = 30 cm. The bucket is traveling downward at speed vi = 25 cm/s when the handle slips out of Vlad’s hand. As the rope unwinds and the bucket falls downward, the axle spins freely with an angular acceleration whose magnitude is α = 4.5 rad/s^2. The bucket falls through a distance of d = 7.0 m before crashing into the water. 1. What is the angular speed ωf of the axle when the bucket first hits the water?  2. As d → 0, what limit does ωf approach and why?

A weight of mass m1 = 45 kg slides at a constant speed v = 1 m/s in a circle of radius r = 0.65 m on a table as shown on the left. The force of friction is just enough to keep the weight from sliding in towards the center of the table. The weight is attached to a string which hangs down through a hole in the middle of the table; from the other end of the string hangs a cylinder of mass m2 = 17 kg. a) What is the minimum coefficient of friction needed to keep the hanging mass from moving downwards? b) What would be the maximum velocity the weight could have with that same coefficient of friction?

please answer letter d and e

A Block A with mass mĄ rests on a horizontal tabletop, while block B with mass mg hangs from a string of negligible mass that passes over a pulley and attaches to block A, as shown above. The pulley has negligible mass and rotates with negligible friction about its axle. The blocks are at rest due to friction between block A and the tabletop. The coefficient of static friction between block A and the tabletop is u (mu), where u < 1.

An air puck of mass ml is tied to a string and allowed to revolve in a circle of radius R 5 1.0 m on a frietionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of m2 is tied to it. The suspended mass remains in equilibrium while the puck on the tabletop revolves. Verify that ml =0.25 kg on the table top has v= 6.3 m/s when R 1 meter and m2 1 kg

An air puck of mass 0.24 kg is tied to a string and allowed to revolve in a circle of radius 1.3 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of 1.0 kg is tied to it. The suspended mass remains in equilibrium while the puck on the tabletop revolves. (a) What is the tension in the string?_____ N (b) What is the force causing the centripetal acceleration on the puck?_____ N (c) What is the speed of the puck?_____ m/s