A horizontal carousel is rotating around its axis with constant angular velocity w. On the carousel there is a straight track passing through its middle. A cart of mass m is traveling along the track with constant velocity v relative to the carousel. Note that there is friction between the cart and the carousel. FR XR c. When the cart is moving, in the lab frame its speed is increasing. What force does the positive work that increases the cart's speed? a. Select one: The gravitational force. ○ b. The normal force from the track side. C. The centrifugal force. ○ d. The Coriolis force. The centripetal force. e. ○ f. The cart's speed is not increasing, it is constant.

A puck of mass m = 1.30 kg slides in a circle of radius r = 22.0 cm on a frictionless table while attached to a hanging cylinder of mass M= 2.30 kg by a cord through a hole in the table. What speed keeps the cylinder at rest? M Number i 2.227 Units m/s

The block B of mass 2.6 kg and cylinder A of mass 17.8 kg are connected to a light cord that passes through a hole in the center of the smooth table. If the block is given a speed u = 6.7 m/s, determine the radius r of the circular path along which it travels. < O O

The block B of mass 7.1 kg and cylinder A of mass 14.2 kg are connected to a light cord that passes through a hole in the center of the smooth table. If the block is given a speed v = 9.1 m/s, determine the radius r of the circular path along which it travels.

Instead of moving back and forth, a conical pendulum moves in a circle at constant speed as its string traces out a cone (see figure below). One such pendulum is constructed with a string of length L- 13.9 cm and bob of mass 0.338 kg. The string makes an angle e- 8.16° with the vertical. m Bob (a) What is the radial acceieration of the bob? magnitude mvs? direction (b) What are the horizontal and vertical components of the tension force exerted by the string on the bob? (Assume radially inward to be the positive x axis and vertically upward to be the positive y axis. Express your answer in vector form.) T- A particle of dust lands 43.8 mm from the center of a compact disc (CD) that is 120 mm in diameter. The CD speeds up from rest, and the dust particle is ejected when the CD is rotating at 80.0 revolutions per minute. What is the coefficient of s static friction between the particle and the surface of the CD? Need Help? Read Master

Two small cylindrical plastic containers with flat bottoms are placed on a turntable that has a smooth flat surface. Canister A is empty; canister B is full. Each canister is the same distance r from the center. The coefficient of static friction between the canisters and the turntable is µs. The speed of the turntable is gradually increased. Describe what will happen. Include which container will fall off first or if they will fall off at the same time.

Two identical twins hold on to a rope, one at each end, on a smooth, frictionless ice surface. They skate in a circle about the center of the rope (the center of mass of the two-body system) and perpendicular to the ice. The mass of each twin is 78.0 kg. The rope of negligible mass is 3.5 m long and they move at a speed of 5.40 m/s. a)What is the magnitude, in kg · m2/s, of the angular momentum of the system comprised of the two twins?   (b)They now pull on the rope and move closer to each other so that the rope between them is now half as long. Determine the speed, in m/s, with which they move now.    (c)The two twins have to do work in order to move closer to each other. How much work, in joules, did they do?

An experiment is performed in deep space with two uniform spheres, one with mass 25.0 kg and the other with mass 101.0 kg. They have equal radii, r=0.35 m. The spheres are released from rest with their centers a distance 35.0 II apart. They accelerate toward each other because of their mutual gravitational attraction. You can ignore Igravitational forces other than that between the two spheres. Part B Find the speed of the sphere with mass 101.0 kg kg. Express your answer in meters per second. ₂ 1.8x10-6 m/s Submit Previous Answers ✓ Correct Part C Find the magnitude of the relative velocity with which one sphere is approaching to the other. Express your answer in meters per second. Ur= 8.9x10 m/s Submit Previous Answers ✓ Correct Part D How far from the initial position of the center of the 25.0 kg sphere do the surfaces of the two spheres collide? Express your answer in meters. |VD ΑΣΦ ? L = Submit Previous Answers Request Answer m

Dana loads luggage into an airplane using a conveyor belt tilted at an angle of 20°. She places a few pieces of luggage on the belt before it starts to move, then she turns the belt on. It takes the belt 0.70 s to reach its top speed of 1.2 m/s. Does the luggage slip? Assume μs = 0.50 between the luggage and the belt.

A bullet of inertia mbullet is fired horizontally at a speed vhj into a stationary wooden block of inertia mblock lying on a low-friction surface. The bullet passes through the block and emerges with a speed vf Part A Determine the final speed of the block in terms of the given quantities. Express your answer in terms of the variables mbullets Mblock; Vbi; and vf. b X•10" (X) Vblock,f =