A jet airplane is in level flight. The mass of the airplane is m = 8870 kg. The airplane travels at a constant speed around a circular path of radius R = 8.23 mi and makes one revolution every T = 0.109 h. Given that the lift force acts perpendicularly upward from the plane defined by the wings, what is the magnitude of the lift force acting on the airplane? R L = kN At what angle is the airplane banked?

A hang glider and its pilot have a total mass equal to 131 kg. While executing a 360° turn, the glider moves in a circle with a 9-m radius. The glider's speed is 15 m/s. (Assume the glider turns along the horizontal plane.) (a) What is the net force on the hang glider? N (b) What is the acceleration? |m/s²

Your brother’s toy car has a mass 0f 250. g. The car is going in a vertical circle in 3.50 s. The radius of the track is 40.0 cm. a. Draw Free Body Diagram of the car when it is at the bottom of the circle. b What is the magnitude of the force of the track on the car at the lowest point of the circle?     a. Draw Free Body Diagram of the car when it is at the bottom of the circle.

A child of mass 40.0 kg is in a roller coaster car that travels in a loop of radius 9.00 m. At point A the speed of the car is 11.6 m/s, and at point B, the speed is 12.6 m/s. Assume the child is not holding on and does not wear a seat belt. B A 30° (a) What is the force (in N) of the car seat on the child at point A? (Enter the magnitude.) 205.6 ✓N (b) What is the force (in N) of the car seat on the child at point B? (Enter the magnitude.) XN 109.8 (c) What minimum speed (in m/s) is required to keep the child in his seat at point A? 9.40 m/s

A. Given that a racecar with a mass of 795.0 kg is going through an unbanked curve of a constant radius of 122.0 meters, with racing tires with a static friction coefficient of 0.85 with the race track, what is the maximum speed that the racecar can take with the curve and not slide, assuming the car generates no negative lift? B. How much frictional force does the car need to generate to follow the curve without losing control or slipping? C. Would the speed of the racecar change if the experiment was conducted on an alien planet with a gravity of 8 m/s^2?

m A 530 kg boat experiences a centripetal acceleration of ac = 5 s² when turning around a corner at a speed of 9 m/s. a) What is the radius of the corner the boat is turning around? m b) What is the size of the force needed to turn the boat around the corner at this speed? N

In the figure, a stuntman drives a car (without negative lift) over the top of a hillI, the cross section of which can be approximated by a circle of radius R = 285 m. What is the greatest speed at which he can drive without the car leaving the road at the top of the hill? %3D Number i Units

A stone that is connected to a string is being rotated horizontally. The stone completes one full circle every second; and the magnitude of the tension in the string is F-. What happens to the tension in the string if the stone speeds up such that it goes around the circle twice every second while the radius stays the same. O The magnitude of the tension increases to twice its original value. O The magnitude of the tension increases to four times its original value. O The magnitude of the tension reduces to one-fourth of its original value. O The magnitude of the tension is unchanged. O The magnitude of the tension reduces to half of its original value.

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Problem 2: Princess Peach is competing in a Mario Kart race on Rainbow Road. Rainbow Road has no rails, so Peach has to be careful taking turns to make sure she doesn't fall off. There is a notoriously difficult turn on the track made up of a portion of a circle 120m in diameter. The road is angled at 30°. The track has a friction coefficient of μ = .40. Given that Peach and the car weigh 800 kg. a) Draw a free-body diagram for the car on the road. b) What is the magnitude of the normal force, and what angle does it make with the horizontal? c) Repeat part b for the the friction force d) How fast can Peach take the turn without flying or falling off the track?