A 54.3 kg ice skater is moving at 4.03 m/s when she grabs the loose end of a rope, the opposite end of which is tied to a pole. She then moves in a circle of radius 0.790 m around the pole. (a) Determine the force exerted by the rope on her arms. Answer in Newtons (N) (b) What is the ratio of this force to her weight?  -__________________________(force from part a / her weight)

A coin of mass m and rotates on a circular platform of radius r at the fastest speed possible without the coin sliding off. In this case, the coin makes each revolution in 5.1 seconds (its period). The coin and platform have a coefficient of friction, that is unchanged. If the mass of the coin is increased by a factor of 7, what would be the new period? Give your answer to 1 decimal place

A cyclist competes in a one-lap race around a flat, circular course of radius 140 m. Starting from rest and speeding up at a constant rate throughout the race, the cyclist covers the entire course in 60 s. The mass of the bicycle (including the rider) is 76 kg. Find Ff,net, the magnitude of the net force acting on the cyclist at the finish line. What is the magnitude of the net force Fnet acting on the bicycle as it crosses the finish line?

A toy submarine of mass m = 0.730 kg moves around a submerged circular track of radius R = 1.77 m. The submarine's engine provides a constant propulsion force of F = 4.88 N. When the sub is in motion, it is subject to a viscous drag force exerted by the water. This force is proportional to the sub's speed; the proportionality factor is C = 1.26 kg/s. Assuming it starts from rest at t = 0.s, the speed v (t) of the submarine at a later timet is given by v (1) = (1 – e-Ctim) where e is the base of the natural logarithm. How much time has passed when the submarine's speed reaches 62% of its terminal value? t = What is the magnitude of the submarine's acceleration a at m/s2 this time? a = 16000

A high-speed railway car goes around a flat, horizontal circle of radius 450 m at a constant speed. The magnitudes of the horizontal and vertical components of the force of the car on a 55.0 kg passenger are 204 N and 539 N, respectively. (a) What is the magnitude of the net force (of all the forces) on the passenger? (b) What is the speed of the car? (a) Number i (b) Number Units Units

The accompanying figure shows a frictionless channel in the shape of a segment of a circle with center at "O". The channel has been anchored to a frictionless horizontal tabletop. You are looking down at the table. Forces exerted by the air are negligible. A ball is shot at high speed into the channel at "p" and exits at "r." Consider the following distinct forces: A downward force of gravity. A force exerted by the channel pointing from q to O. A force in the direction of motion. A force pointing from O to q.     Which of the above forces is (are) acting on the ball when it is within the frictionless channel at position "q"?

A 30 kg object is moving in uniform circular motion with a radius of 10 m. It takes the object 2 s to make one complete revolution. Find the net force acting on the object.

An airplane is flying in a horizontal circle at a speed of 441 km/h. If its wings are tilted 40° to the horizontal, what is the radius of the circle in which the plane is flying? Assume that the required force is provided entirely by an "aerodynamic lift" that is perpendicular to the wing surface. m I 0