A 40.0 kg child takes a ride on a Ferris wheel that rotates four times each minute and has a diameter of 21.0 m. (a) What is the centripetal acceleration of the child? m/s² -Direction- (b) What force (magnitude and direction) does the seat exert on the child at the lowest point of the ride? magnitude (from upward) direction (c) What force does the seat exert on the child at the highest point of the ride? magnitude N direction (from upward)

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

An airplane travels 79 m/s as it makes a horizontal circular turn which has a 787 m radius. What is the magnitude of the resultant force (in Newtons) on the 57-kg pilot of this airplane?

In the very Dutch sport of ducth-dude-on-a-pole, athletes run up to a long pole and then use it to vault across a canal. At the very top of his arc, a 70kg vaulter is moving at 3.5m/s and is 5.0m from the bottom end of the pole. What vertical force does the pole exert on the vaulter (in magnitude)?

A block and sphere are connected by a cord that passes over a pulley as shown. Neglect friction and assume the cord is massless. Take m₁ Ө = 49.0°. m1 m2 0 (a) What are the magnitude of acceleration (in m/s2) of the block and sphere? m/s² (b) What is the tension (in N) in the cord? (Enter the magnitude.) N = (c) What is the speed (in m/s) of each object 1.50 s after being released from rest? m/s = 2.00 kg, m2 = 4.95 kg, and (d) What If? If the incline under m₂ is rough, what is the minimum value of the coefficient of static friction μ for which the system will not move? Ms

A sample of blood is placed in a centrifuge of radius 10.0 cm. The mass of a red blood cell is 3.0 ✕ 10−16 kg, and the magnitude of the force acting on it as it settles out of the plasma is 4.0 ✕ 10−11 N. At how many revolutions per second should the centrifuge be operated? ?rev/s

P2-4 If FA = 40 kN and FB = 35 kN, determine the magnitude of the resultant force and specify the location of its point of application (x, y) on the slab. 0.75 m X 0.75 m 2.5 m 0.75 m FB 12.5 m 3 m 3 m 0.75 m 30 kN 90 KN FA 20 kN

A 270-kg object and a 570-kg object are separated by 4.90 m. (a) Find the magnitude of the net gravitational force exerted by these objects on a 32.0-kg object placed midway between them. 1.323 × Draw a picture of the three objects, including the forces exerted on the third. N (b) At what position (other than an infinitely remote one) can the 32.0-kg object be placed so as to experience a net force of zero from the other two objects? 2.61 You appear to be assuming the answer will be a simple ratio of the masses. You must look very carefully at the equations before assuming a simple ratio holds. m from the 570 kg mass toward the 270 kg mass