6) A child with a weight of 470.0 N grabs onto the end of a rope whose length is 1.80 m. Thechild swings back and forth, as a pendulum. As the rope swings vertically, the speed of the childis 0.800 m/s. a) What is the acceleration of the child (magnitude and direction), at the momentwhen the rope is vertical? b) At the moment when the rope is vertical, what force does the ropeexert on the child, in order to keep the child hanging onto the rope?

Approach to solving the question:Concept of centripetal acceleration Detailed explanation:

Answered: 6) A child with a weight of 470.0 N…

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)...

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1. A 75-kg merry go round worker stands on the ride's platform 4.5m from the center and her speed as she goes around the circle is 4.1 m/s. a) Draw a sketch of the scenario. b) Determine the force of friction necessary to keep her from falling off the platform. c) How far does she travel after 1 revolution? d) What is the period T (in seconds) after 1 revolution? Round answers to nearest tenth.
2. A pulley is being pulled upward with a force F on the axle directly. Two objects of masses mi = 1.3 kg and m2 = 1.8 kg are attached to the opposite ends of a massless string, which passes over the massless and frictionless pulley as shown in Fig. 2. The object m2 is in contact with the floor. Consider g = 9.81 m/s? What is the largest value, the force F may have so that m2 (a) will remain at rest on the floor? (b) 108 N? What is the tension in the string if the upward force F is (c) With the tension determined in part (b), what are the Fig. 2 accelerations of the masses mi and m2?
= Consider the system as shown in Fig. 2. The pulley is massless and the whole system is frictionless. Also consider the ropes to be ideal. Here, mi = 2 kg, m2 = 4 kg, and M = 8 kg. The tension in the rope with which the pulley is attached to the ceiling is T, the tension in the rope connecting M and mi is Ti and the tension in the rope connecting mi and m2 is T2. Consider g = 9.81 m/s?. Draw the free body diagrams of all the blocks and the pulley. mi (ak (b) AFind the acceleration of each of the three blocks. m2 (c) Calculate the magnitude of T, Ti and T2. Fig. 2
ml m2 An object of mass m,= 4kg placed on a frictionless, horizontal table is connected to a string that passes over a pulley and then is fastened to a hanging object of mass m2= 7kg as shown in figure. Calculate, (a) the acceleration (a) of the objects (b) the tension (T) in the string. (a) The acceleration of the objects (in m/s) is (b) The tension in the string (in Newtons) is
Calculus
Gibbons, small Asian apes, move by brachiation, swinging below a handhold to move forward to the next handhold. A 9.0 kg gibbon has an arm length (hand to shoulder) of 0.60 m. We can model its motion as that of a point mass swinging at the end of a 0.60-m-long, massless rod. At the lowest point of its swing, the gibbon is moving at 3.5 m/s. What upward force must a branch provide to support the swinging gibbon?
ral Physics I-Spring21 Time left 0:13:07 Two constant forces F1 = 9.2 i+3.2 j+5.7 k N and F2 = 4.4 i -4.8 j-3.7^k N act together on an object causes a displacement from position r1 = 6.4 i + 6.8 j+ 8.6 k cm to position r2= 8.4°i+ 6.2 j+4.3^ k cm. Determine the total work done (J) on the object. Answer: PAGE NEXT PAGE FUIITSU
2. Alight string attached to block B in an inclined plane which passes over a frictionless, massless pulley, and block A is suspended from the other end of the string as shown in the figure. If the incline is frictionless with m, = 3.0 kg, mg = 8.0 kg and 0 = 60°. Find: (a) Acceleration of the objects (b) The tension in the string (c) The speed of each object 3.00 seconds after being released from the rest m.
6. A frictionless cart sits on a ramp that is tilted down at an angle of 30.0° from horizontal. The cart is released from rest, with an initial position of * = [0 m] + [0.500 mlj It rolls down the ramp (down and to the right) once it is released, and it's acceleration points down the ramp, parallel to the ramp, with a magnitude of 4.90 m/s². Use a coordinate system where up is +y and to the right is +x. a. What are the x- and y-components of the cart's initial velocity? b. What are the x- and y-components of the cart's acceleration? c. Use your answers to parts a and b to find the cart's position and velocity 1.50 seconds after it is released. Write your answers in unit vector notation.
11.Determine the acceleration a. The masses are: m, = 1 kg, m2 = 2 kg, m3 = 4 kg %3D The coefficient of kinetic friction between mass 1 and the incline is M1 = 0.4 The coefficient of kinetic friction between mass 2 and the flat section is Hz = 0.3 a T1 T2 a Tj m2 T2 m1 H2 a m. H1 30°

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