**86. Conceptual Example 9 provides background for this problem. A swing is made from a rope that will tolerate a maximum tension of 8.00 × 10² N without breaking. Initially, the swing hangs vertically. The swing is then pulled back at an angle of 60.0° with respect to the vertical and released from rest. What is the mass of the heaviest person who can ride the swing?

**86. Conceptual Example 9 provides background for this problem. A swing is made from a rope that will tolerate a maximum tension of 8.00 × 10² N without breaking. Initially, the swing hangs vertically. The swing is then pulled back at an angle of 60.0° with respect to the vertical and released from rest. What is the mass of the heaviest person who can ride the swing?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Tarzan grabs a vine of length L=8.9 m and attempts to swing across the crocodile infested river. The vine breaks just as Tarzan is at lowest point of his swing, a horizontal distance D=60 m and H= 4.5 m above the riverbank. You barely mix it across, landing on the edge of the riverbank. The tension in the vine when it broke was a 1000 N. Find Tarzan's mass.
A box is motionless, sitting on a ramp with an incline of 0 =54.4 ° being pulled in the direction up the ramp by a spring with a spring constant of k=150 N/m that is stretched x=6.4 m. The coefficient of friction between the ramp and the box are u s=0.53 and u k=0.15 and the friction force is going down the ramp. What is the mass of the box? Solve symbolically: Solve numerically: m= Units: If the box starts moving up a ramp with an acceleration of a=2.41 m/s, what is the new length that the spring will stretch? Solve symbolically: Solve numerically: Units:
Hooke's law describes a certain light spring of unstretched length 33.0 cm. When one end is attached to the top of a door frame and a 5.00-kg object is hung from the other end, the length of the spring is 48.5 cm. Answer parts a-b.
2. Maria and Rory are using a spring launcher to move a 125 g block to the top of a ramp. The spring launcher is at the base of the ramp and consists of a platform and a spring with a force constant of 420 N/m. The horizontal surface at the base of the ramp is smooth and frictionless. They compress the spring by 0.12 m with the block resting against the spring launcher. Once they let go, the block travels up the 1.4 m ramp and comes to rest at the top of the ramp. The top of the ramp is 1.0 m above the ground. Ramp Experiment Ad= 1.4 m smooth frictionless surface What is the average frictional force acting on the block as it moves up the ramp? Ah=1.0 m
A 3.0 kg block slides with a speed of 2.3 m/s on a frictionless horizontal surface until it encounters a spring. If the block compresses the spring 5.6 cm before coming to rest, what is the force constant of the spring? What initial speed should the block have to compress the spring by 1.4 cm?
5. Moumita is holding a mass m=0.50kg, which is connected to the bottom of a vertical spring with spring constant k=10.0ON/m. She is holding the mass in place at a height h=1.5m above the floor. The spring is relaxed in this condition. When Moumita lets go of the mass, how far will the mass fall before it turns around and starts to travel upwards?
Horizontal Distance (m)= ?
5. Two 8.5 kg masses are hung from a horizontal surface by two (massless) springs, as shown in the figure. The top spring has a spring constant of 400 N/m, and the bottom spring has a spring constant of 200 N/m. How long is each spring in this configuration if they both have rest lengths of 6.0 cm?
A particle moves with ω =constant and r = r0eβt where r0 and β are constants. For what values of β is the radial force zero?
15. A 40.0 kg child is playing on a swing. At the bottom of the swing, the child attains a speed of 4.60 m/s. If the rope holding the swing is 2.80 m long, what is the tension in the rope at the bottom of the swing?
A segment of DNA is put in place and stretched. Figure P7.82 shows a graph of the force exerted on the DNA as a function of the displacement of the stage. Based on this graph, which statement is the best interpretation of the DNA’s behavior over this range of displacements? The DNA (a) does not follow Hooke’s law, because its force constant increases as the force on it increases; (b) follows Hooke’s law and has a force constant of about 0.1 pN/nm; (c) follows Hooke’s law and has a force constant of about 10 pN/nm; (d) does not follow Hooke’s law, because its force constant decreases as the force on it increases.
An online video daredevil is filming a scene where he swings across a river on a vine. The safety crew must use a vine with enough strength so that it doesn't break while swinging. The daredevil's mass is 82.0 kg, the vine is 11.0 m long, and the speed of the daredevil at the bottom of the swing has been determined to be 7.60 m/s. What is the minimum tension force (in N) the vine must be able to support without breaking?