In an old-fashioned amusement park ride, passengers stand inside a 5.3-mm-diameter hollow steel cylinder with their backs against the wall. The cylinder begins to rotate about a vertical axis. Then the floor on which the passengers are standing suddenly drops away! If all goes well, the passengers will "stick" to the wall and not slide. Clothing has a static coefficient of friction against steel in the range 0.61 to 1.0 and a kinetic coefficient in the range 0.40 to 0.70. A sign next to the entrance says "No children under 30 kg allowed." What is the minimum angular speed, in rpm, for which the ride is safe

Q: Traveling at a speed of 12.1 m/s, the driver of an automobile suddenly locks the wheels by slamming…

A:

Q: A 80.0 kg mail bag hangs by a vertical rope 3.5 m long. A postal worker then displaces the bag to a…

A:

Q: A fishnet consists of 1 mm diameter strings which form a pattern of 1 cm x 1 cm squares. Estimate he…

A: The diameter of the fishnet is The one side  of square is The velocity is The density is The…

Q: Option #2: A roller coaster car is at the top of a huge hill and is at rest briefly. Then it rolls…

A:

Q: In an old-fashioned amusement park ride, passengers stand inside a 3.0-m-tall, 5.0-m-diameter hollow…

A: It is given that,

Q: A rug (mass of 20.0 kg) is sitting on a slope with an angle of 20 degrees. A person (mass of 40.0…

A:

Q: A box with with a mass m = 2kg is being pushed up a ramp by an unknown pushing force Fp. The…

A: The free-body diagram is , Given, m=2kg' The velocity is constant so, the acceleration is constant…

Q: This first part is at a angle of 30 degrees and it's 3 meters long. The other is at 45 degrees and…

A: According to the question the diagram of the scenario is:

Q: A manufacturer of children's slides does some tests and discovers that the slope of a slippery slide…

A: The data given is as follows, 1. Slope of the slide, θ=25° 2. The weight of the child is, mc=35 kg…

Q: Traveling at a speed of 14.2 m/s, the driver of an automobile suddenly locks the wheels by slamming…

A: Given that: u=14.2 m/sv=?μ=0.59t=1.14 secg=9.8 m/s2

Q: A 3.47 kg block is placed at one end of a wooden plank that is 9.05 m long. The plank is slowly…

A:

Q: I need help with this Hw Problem.

A:

Q: A sled and rider have a total mass of 50.5 kg. They are on a snowy hill. The coefficient of kinetic…

A: Given: Total mass of sled and rider is 50.5kg. The coefficient of kinetic friction is 0.170. The…

Q: Someone is dancing on a revolving dance floor. The floor completes 3 revolutions every 5 minutes and…

A:

Q: In an old-fashioned amusement park ride, passengers stand inside a 4.50 m diameter hollow steel…

A:

Q: You are visiting your cousins for Christmas in New Hampshire where it is freezing. They are crazy.…

A: Applying Newton's second law on the sledge, ∑Fx=mgsin20°=ma     [1]∑Fy=N-mgcos20°=0    [2] From…

Q: 45kg gymnast wedges himself between two closely spaced vertical walls by pressing his hands and feet…

A: Given,  Mass = 45 kg   We need to calculate,  Friction force with given condition =?

Q: as the speed of the turntable increases until it reaches a rate of 60 revolutions per minute and…

A: Given:-  The distance of the coin from the center of the turntabled = 0.2 m.The coin remains in…

Q: A 1500kg car is driving on the road at a speed of 15 m/s. The driver applies the brakes, bringing…

A: The minimum distance the car needs to travel to stop (braking distance) is given by, d=v22μg Here, v…

Q: A raindrop with radius R= 1.6 mm falls from a cloud that is at height h = 1200 m above the ground.…

A: Given: The radius of the drop is 1.6 mm. The height of the cloud is 1200 m. The density of water is…

Q: A vertebra is subjected to a shearing force of 540 N. Find the shear deformation, taking the…

A:

Q: A stacked pair of books with masses m1= 1.5 kg (bottom book) and m2 = 1.0 kg (top book) are tossed…

A:

Q: A 2.53 kg block is placed at one end of a wooden plank that is 9.05 m long. The plank is slowly…

A:

Q: A block M1 of mass 10.0 kg sits on top of a larger block M2 of mass 20.0 kg which sits on a flat…

A:

Q: In an old-fashioned amusement park ride, passengers stand inside a 4.6-m-diameter hollow steel…

A: Given: diameter of the cylinder, d=4.6 m co-efficient of static friction range, μs=0.60-1.0…

Q: You are out on a hike and come across an unfortunate scene: a fellow hiker has fallen off a ledge.…

A:

Q: You are driving a car at a constant speed of 14.0 m/s along a straight level road. As you approach…

A: The initial velocity of the car is u = 14 m/s. The final velocity of the car is v = 0 m/s. The…

Q: The coefficient of friction between the wheels of Yamaha motorcycle and the dry pavement is 0.79. An…

A:

Q: A heavy crate is suspended from two ropes as it is lowered from a high shelf to the floor at a…

A: Given data: The tension in one rope is T1=653 N. The angle made by one rope is θ1=26.5°. The angle…

Q: A 10.2-kg box is sliding across a horizontal floor. It has an initial speed of 1.25m / s and the…

A: Given    A 10.2-kg box is sliding across a horizontal floor. It has an initial speed of 1.25m / s…

Q: person stands on a scale in an elevator. As the elevator starts, the scale has a constant reading of…

A: The minimal normal force occurs with downward acceleration, For starting, 592-mg=ma      (1) For…

Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”