**86. Conceptual Example 9 provides background for this problem. Aswing is made from a rope that will tolerate a maximum tension of8.00 × 10² N without breaking. Initially, the swing hangs vertically.The swing is then pulled back at an angle of 60.0° with respect to thevertical and released from rest. What is the mass of the heaviest personwho can ride the swing?

Answered: Image /qna-images/answer/4cd3dccf-ef98-4f5a-b5a7-a3901ed95442.jpg

Answered: **86. Conceptual Example 9 provides…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter7: Conservation Of Energy

Section: Chapter Questions

Problem 44P

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The system shown in Figure P5.43 is used to lift an object of mass m = 76.0 kg. A constant downward force of magnitude F is applied to the loose end of the rope such that the hanging object moves upward at constant speed. Neglecting the masses of the rope and pulleys, find (a) the required value of F, (b) the tensions T1, T2, and T3, and (c) the work done by the applied force in raising the object a distance of 1.80 m. Figure P5.43
The system shown in Figure P5.43 is used to lift an object of mass m = 76.0 kg. A constant downward force of magnitude F is applied to the loose end of the rope such that the hanging object moves upward at constant speed. Neglecting the masses of the rope and pulleys, find (a) the required value of F, (b) the tensions T1, T2, and T3, and (c) the work done by the applied force in raising the object a distance of 1.80 m. Figure P5.43
A movie stunt performer 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 stunt performer's mass is 82.0 kg, the vine is 11.0 m long, and the speed of the stunt performer at the bottom of the swing has been determined to be 8.60 m/s. What is the minimum tension force (in N) the vine must be able to support without breaking?
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?
A block of mass ?=353 gm=353 g is dragged with a string across a rough horizontal table. The string tension is ?=2.63 N,T=2.63 N, and it pulls upward at an angle of ?=44.0∘ϕ=44.0∘ with the horizontal. At one particular instant, the block is moving at a speed of ?=5.70 m/s.v=5.70 m/s. The coefficient of kinetic friction between the block and the table is ?k=0.699. What is the power ?TPT supplied to the block by the string tension? What is the power ?fPf supplied by the force of friction?
A net force along the x-axis that has x-component Fx=−12.0N+(0.300N/m^2)x^2 is applied to a 3.80 kg object that is initially at the origin and moving in the -x-direction with a speed of 7.30 m/s. What is the speed of the object when it reaches the point x = 8.20 m?
A net force along the x-axis that has x-component Fx = −12.0N + (0.300N/m2)x2 is applied to a 5.00 kg object that is initially at the origin and moving in the -x-direction with a speed of 6.00 m/s. What is the speed of the object when it reaches the point x = 5.00 m?
A golf club strikes a 0.062-kg golf ball in order to launch it from the tee. For simplicity, assume that the average net force applied to the ball acts parallel to the ball’s motion, has a magnitude of 6120 N, and is in contact with the ball for a distance of 0.0080 m. With what speed does the ball leave the club?
When a click beetle is upside down on its back, it jumps upward by suddenly arching its back, transferring energy stored in a muscle to mechanical energy.This launching mechanism produces an audible click, giving the beetle its name.Videotape of a certain clickbeetle jump shows that a beetle of mass m = 4.0 * 10-6 kg moved directly upward by 0.77 mm during the launch and then to a maximum height of h= 0.30 m. During the launch, what are the average magnitudes of (a) the external force on the beetle’s back from the floor and (b) the acceleration of the beetle in terms of g?
Jadon is 5 years old and weighs 45.0 pounds. He is sitting on a swing when his cousinAllison pulls him and the swing back horizontally through an angle of 35.08 and thenstops. Find the magnitude of the force exerted by Allison a. 31.5 lb b. 64.3 lb c. 25.8 lb d. 36.9 lb
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A man pushing a crate of mass m = 92.0 kg at a speed of v = 0.870 m/s encounters a rough horizontal surface of length ℓ = 0.65 m as in the figure below. If the coefficient of kinetic friction between the crate and rough surface is 0.351 and he exerts a constant horizontal force of 289 N on the crate. A man pushes a crate labeled m, which moves with a velocity vector v to the right, on a horizontal surface. The horizontal surface is textured from the right edge of the crate to a horizontal distance ℓ from the right edge of the crate. (a) Find the magnitude and direction of the net force on the crate while it is on the rough surface. magnitude N direction ---Select--- same as the motion of the crate opposite as the motion of the crate (b) Find the net work done on the crate while it is on the rough surface. J(c) Find the speed of the crate when it reaches the end of the rough surface. m/s

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