7. Snoopy is flying his vintage war plane in a "loop the loop" path chasing the Red Baron. His instruments tell him the plane is level (at the bottom of the loop) and travelling with a speed of 180 km/h. He is sitting on a set of bathroom scales, and notes that they read four times the normal force of gravity on him. What is the radius of the loop? Answer in metres.

A space probe is launched from Earth headed for deep space. At a distance of 10,000 km from Earth's center, the gravitational force  on it is 900 N. What is the magnitude of the force when the probe is 30,000 km from Earth's center?

The passengers in a roller coaster feel 42 % heavier than their true weight as the car goes through a loop with a 30 m radius of curvature.  What is the car's speed at the bottom of the loop?  Use g = 10 N/kg.  Hint:  How heavy some one feels is another name for normal force.  The problem therefore tells you the normal force.  If you know weight and normal force, you can determine centripetal acceleration.  You can substitute a value for mass if you wish.

NASA uses a machine often called the "vomit comet" to mimic the effects of low gravity in space during astronaut training. The machine moves in circular arcs at a speed of v = 214 m/s. What is the radius the pilot must fly to create weightlessness as they go around the top of the circular arc? Give your answer in meters.

A ball is on the end of a string. The ball is being swung in a vertical circle at a constant speed.The length of the string is 1.30 m. The mass of the ball is 2.10 kg. The maximum tension the string can withstand before breaking is 54.0 N.What is the maximum speed of the ball without the string breaking when the ball is at the top of the circle (Point A in the figure)?

A 615-kg satellite is in a circular orbit about Earth at a height above Earth equal to Earth's mean radius. (a) Find the satellite's orbital speed. m/s (b) Find the period of its revolution. h (c) Find the gravitational force acting on it. N

Homework Problem 31: A professor is swinging a ball (Mass 0.358Kg) in a vertical circle at a constant speed. The length of the string is 0.29m. The professor measures the tension and discovers that it is 1.715 times larger at the bottom of the circle than at the top. What is the speed of the swinging mass?   Note: The acceleration due to gravity is directly downwards.