Concept explainers
The pilot of an airplane executes a constant-speed loop-the-loop maneuver in a vertical circle as in Figure 7.13b. The speed of the airplane is 2.00 × 102 m/s, and the radius of the circle is 3.20 × 103 m. (a) What is the pilot's apparent weight at the lowest point of the circle if his true weight is 712 N? (b) What is his apparent weight at the highest point of the circle? (c) Describe how the pilot could experience weightlessness if both the radius and the speed can be varied. Note: His apparent weight is equal to the magnitude of the force exerted by the scat on his body. Under what conditions does this occur? (d) What speed would have resulted in the pilot experiencing weightlessness at the top of the loop?
Trending nowThis is a popular solution!
Chapter 7 Solutions
College Physics
Additional Science Textbook Solutions
Physical Universe
Physical Science
Conceptual Physical Science Explorations
Fundamentals of Physics Extended
Matter and Interactions
Lecture- Tutorials for Introductory Astronomy
- A light string can support a stationary hanging load of 25.0 kg before breaking. An object of mass m = 3.00 kg attached to the string rotates on a frictionless, horizontal table in a circle of radius r = 0.800 m, and the other end of the string is held fixed as in Figure P5.17. What range of speeds can the object have before the string breaks? Figure P5.17arrow_forwardFigure shows a conical pendulum, in which the ball with a mass of m=10.0 kg moves in a horizontal circle at constant speed. If the wire has a length of L=10.0 m and makes an angle of θ=30.0° with the vertical, determine (a) the horizontal (Tx) and vertical (Ty)components of the force exerted by the wire on the ball (b) the radial acceleration of the ball (c) the speed of the ball. cos30o =sin60o=0.866 cos60o =sin30o=0.500 g=9.8 m/s2arrow_forwardFigure shows a conical pendulum, in which the ball with a mass of m=10.0 kg moves in a horizontal circle at constant speed. If the wire has a length of L=10.0 m and makes an angle of θ=30.0° with the vertical, determine (a) the horizontal (Tx) and vertical (Ty)components of the force exerted by the wire on the ball (b) the radial acceleration of the ball (c) the speed of the ball.cos30o =sin60o=0.866 cos60o =sin30o=0.500 g=9.8 m/s2arrow_forward
- A small block with mass 0.0300 kgkg slides in a vertical circle of radius 0.425 mm on the inside of a circular track. During one of the revolutions of the block, when the block is at the bottom of its path, point AA, the magnitude of the normal force exerted on the block by the track has magnitude 3.90 NN . In this same revolution, when the block reaches the top of its path, point BB, the magnitude of the normal force exerted on the block has magnitude 0.675 NN . 1)How much work was done on the block by friction during the motion of the block from point AA to point BB?arrow_forwardA body of mass 8 kg moves in the xy-plane in a counterclockwise circular path of radius 3 meters centered at the origin, making one revolution every 10 seconds. At the time t=0, the body is at the rightmost point of the circle.A. Compute the centripetal force acting on the body at time t.⟨, ⟩B. Compute the magnitude of that force. HINT. Start with finding the angular velocity w [rad/s] of the body (the rate of change of its polar angle w.r.t. the center of rotation).Then find the position vector r→(t) of the body at time t.Then find its acceleration vector a→(t) at time t.Then use Newton's 2nd law to find the centripetal force F→(t).arrow_forwardAt the north pole and equator, a 75 kg man would weigh? For this instance, the earth is a perfect sphere with complete uniform mass distribution. Which scale reading is higher and by how much (north pole vs equator)?arrow_forward
- A 940 g rock is whirled in a horizontal circle at the end of a 1.5 m-long string. If the breaking strength of the string is 120 N , what is the maximum allowable speed of the rock? At this maximum speed, what angle does the string make with the horizontal?arrow_forwardAn air puck of mass m1 = 0.25 kg is tied to a string and allowedto revolve in a circle of radius R = 1.0 m on a frictionless horizontaltable. The other end of the string passes through a holein the center of the table, and a mass of m2 = 1.0 kg is tiedto it (Fig. P7.27). The suspended mass remains in equilibriumwhile the puck on the tabletop revolves. (a) What is the tensionin the string? (b) What is the horizontal force acting onthe puck? (c) What is the speed of the puck?arrow_forwardA fire acrobat is swinging a fireball attached to an 80cm string in a vertical circle. If the fireball has a constant speed of 10.14m/s and the tension in the string is 13N when it is on the bottom of the circle, what is the mass of the fireball?arrow_forward
- An engineer wants to design a circular racetrack of radius r such that cars of mass m can go around the track at speed V without the aid of friction or other forces other than the perpendicular contact force from the track surface. Find an expression for the required banking angle θ of the track, measured from the horizontal. Express the answer in terms of m, r, V, and g. Suppose the race cars actually round the track at a speed w>V. What additional radial force Fr is required to keep the cars on the track at this speed? Express the answer in terms of m, r, V, w, and g.arrow_forwardA motorist travels along a vertical circle with a diameter of 10.0 m. After one successful revolution, he notices that his speed at the bottom of the pathway is 6.50 m/s. The mass of the motorists is 70.0 kg. What apparent weight would he feel?arrow_forwardIn the very Dutch sport of Fierljeppen, athletes run up to a long pole and then use it to vault across a canal. At the very top of his arc, a 55 kg vaulter is moving at 2.5 m/s and is 5.1 m from the bottom end of the pole. What vertical force does the pole exert on the vaulter?arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning