Mary is whirling around on a merry-go-round at the playground that her friend Caitlin is gradually spinning faster and faster. (a) Determine the maximum speed Mary can go, if the coefficient of static friction between her shoes and the floor is 0.450. Assume that Mary is not hanging on, but is simply balancing on her feet at a distance of 4.50 m from the center of the merry-go-round. Use g = 10 m/s?. m/s. (b) Which, if any, of the following would help Mary stay on the merry-go-round without sliding? (Select all that apply.) O moving a little closer to the center of the merry-go-round O moving a little closer to the outer edge of the merry-go-round O wearing a heavy backpack that increases her mass

The figure shows an arrangement in which four disks are suspended by cords. The longer, top cord loops over a frictionless pulley and pulls with a force of magnitude 86.2 N on the wall to which it is attached. The tensions in the shorter cords are T₁ = 60.1 N, T₂ = 33.1 N, and T3 = 8.21 N. What are the masses of (a) disk A, (b) disk B, (c) disk C, and (d) disk D? (a) Number (b) Number (c) Number (d) Number Units Units Units Units A B D Ti T₂ T3 SUPPOR

Children playing pirates have suspended a uniform wooden plank with mass M = 13.4 kg, length ℓ = 2.40 m, and angle θ = 35.0°, as shown in the figure. Sophia, with a mass of m = 21.6 kg, is made to "walk the plank" and is d = 1.5 m from reaching the end of the plank. What is the tension acting on the rope at the end (i.e value of F3)?

Can you please help me solve this problem? A mini van rounds a level turn with a 210 m radius. It is an icy day where the coefficents of static and kinetic friction between the tires and the road are 0.16 and 0.12 respectively. With all this in mind, what is the largest speed the mini van can take the turn without slipping?

The tension is growing!Context At your summer job, your supervisor wants to test your physics skills. A new winch (a cable driven by a motor) is to be used to hoist loads up an inclined ramp. Your supervisor is worried about the packages arriving too quickly at the top of the ramp. Constraints The inclined ramp is made up of small cylinders that are free to rotate: there is no friction between the ramp and the load.The angle theta of the ramp from the horizontal is known.The winch cable exerts a known force.The cable is oriented at an angle a from the horizontal.The charge, initially immobile, has a known mass.The length of the ramp is known. Schematization Draw a diagram of the object that interests us. Draw your x and y axes. Draw and name each force experienced by the object that interests us. Modelization Build a model to calculate the final speed of the load as it arrives at the top of the ramp, given the known parameters. Then test your model with the following values: Ramp…

please answer letter d and e

Suppose the coefficient of static and kinetic friction between the road and the tires on a car is 0.60 and 0.30 respectively. The car has no negative lift force. What is the maximum possible speed (in m/s) of the car without slipping as it rounds a flat curve of 32 m radius? Note: write your answer with one decimal place. Answer.

In an old-fashioned amusement park ride, passengers stand inside a 3.90 m diameter hollow steel cylinder with the backs against the wall. The cylinder begins to rotate about a vertical axis. Then the floor on which the passengers are standing drops away! If all goes well, the passengers will "stick" to the wall and not slide. Clothing has a coefficient of static coefficient of friction against steel in the range of 0.690 to 1.0 and a kinetic coefficient in the range 0.480 to 0.70. A sign next to the entrance says "No children under 30 kg allowed." What is the minimum angular speed in rpm (do not enter units) for which the ride is safe? Assume that the local acceleration due to gravity is -9.80 m/s². Submit Answer Tries 0/10

A 4.70-kg object is attached to a vertical rod by two strings as shown in the figure below. The object rotates in a horizontal circle at constant speed 5.95 m/s. (3.00 m 2.00 m m 2.00 m (a) Find the tension in the upper string. N (b) Find the tension in the lower string. N Ⓡ

A cat dozes on a stationary merry-go-round, at a radius of 4.1 m from the center of the ride. The operator turns on the ride and brings it up to its proper turning rate of one complete rotation every 6.5 s. What is the least coefficient of static friction between the cat and the merry-go-round that will allow the cat to stay in place, without sliding? Number i Units >