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.
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- A planet orbiting a distant star has radius 3.54×106 mm. The escape speed for an object launched from this planet's surface is 7.65×103 m/sm/s. What is the acceleration due to gravity at the surface of the planet? Express your answer with the appropriate units.In this problem, you are going to explore three different ways to determine the gravitational constant G. a) By observing that the centripetal acceleration of the Moon around the Earth is ac = 2.66 × 10-3 m/s2, what is the gravitatonal constant G, in cubic meters per kilogram per square second? Assume the Earth has a mass of ME = 5.96 × 1024 kg, and the mean distance between the centers of the Earth and Moon is rm = 3.81 × 108 m. b) Measuring the centripetal acceleration of an orbiting object is rather difficult, so an alternative approach is to use the period of the orbiting object. Find an expression for the gravitational constant in terms of the distance between the gravitating objects rm, the mass of the larger body (the earth) ME, and the period of the orbiting body T. c) The gravitational constant may also be calculated by analyzing the motion of an object, launched from the surface of the earth at an initial velocity of vi. Find an expression of the gravitational constant…26. Snoopy, in hot pursuit of the Red Baron, is flying his vintage warplane in a “loop-the-loop" path. His instruments tell him that the plane is level (at the bottom of the loop) and travelling at a speed of 180 km/h. He is sitting on a set of bathroom scales. He notes that the scales show four times his normal weight. What is the radius of the loop, in metres?
- NASA uses a plane often called the "vomit comet" to reproduce the effects of low gravity in space during astronaut training. The plane moves in circular arcs at a speed of v = 218 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.NASA uses a plane often called the "vomit comet" to reproduce the weightlessness of space in astronaut training. The plane travels in circular arcs at a speed of v = 285 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 spy satellite is in circular orbit around Earth. It makes one revolution in 8.90 h. Mass of Earth is 5.974 × 1024 kg, radius of Earth is 6371 km and Gravitational constant G is = 6.674 × 10−11 N·m2/kg2. a. How high above Earth’s surface is the satellite? answer in km b. What is the satellite’s acceleration? answer in m/s^2
- Some of the most spectacular objects in the universe are fairly small: neutron stars are spheres with a diameter that's about 10km (they are remnants of old stars). Their spectacular nature is indicated by the fact that they are about as massive as the sun, i.e. 2 x 1030kg. What is the gravitational acceleration on the surface of such an object? Express your result as a multiple of g.A roller-coaster car has a mass of 1110kg when fully loaded with passengers. As the car passes over the top of a circular hill of radius 22m, its speed is constant at 8m/s. What is the maximum possible speed the roller-coaster can travel without losing contact with the track at the top of the hill?3. A physics student takes a scale onto the roller coaster, places it on the seat and sits on it and takes a ride. The scale reads her weight, 600 N when she is at rest. While going around the loop of radius R = 7.5 m, she looks down and sees that the scale reads 300 N as she passes through the top of the loop (at A). В A. How fast is she traveling at that instant in time?
- You are on the surface of a planet with no atmosphere. This planet has mass 9.8 x 1023 kg and radius 1.3 x 105 m. You throw a ball (mass irrelevant) straight upward with a velocity of 12.8 x 103 m/s. At the moment when the speed is now 4.1 x 103 m/s, what is the elevation of the ball above the surface, in units of 105 m. Use G = 6.7 x 10-11 N m2/kg2 (Please answer to the fourth decimal place - i.e 14.3225)A 40 kg person is sitting on a bathroom scale while riding on a Ferris Wheel. The person's speed is 6 m/s. The scale reads 300 N when the person is at the top of the motion. Find the radius of the Ferris Wheel.One problem for humans living in outer space is that they are apparently weightless. One way around this problem is to design a space station that spins about its center at a constant rate. This creates "artificial gravity" at the outside rim of the station. If the diameter of the space station is 1 km, how many revolutions per minute are needed for the "artificial gravity" acceleration to be 9.8 m/s^2. * O 1.50 O 1.34 O 68.21 O 44.88