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Ch 05: Applying Newton's Laws

Chapter 5, Problem 5

The Cosmo Clock 21 Ferris wheel in Yokohama, Japan, has a diameter of 100 m. Its name comes from its 60 arms, each of which can function as a second hand (so that it makes one revolution every 60.0 s). (a) Find the speed of the passengers when the Ferris wheel is rotating at this rate.

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Welcome back everybody. We are told that we have an object that has a mass Of five kg. Now this object is attached to a rod that we don't really care about its mass, but we are also told that this object moves along in a circular path of motion. We are told a couple of things about this path. We are told that it has a radius of two m and we are told that the period of revolution is 1.2 seconds, and we are tasked with finding what the speed is of the object while it is revolving, luckily for centripetal forces, we have a very simple formula here we have that the velocity equal to two pi times the radius all over the period. So let's go ahead and plug in some values. Here we have two times 3.14 times our radius of two, divided by 1.2 seconds. Which when you plug into your calculator, you get that the velocity is equal to 10.50 m per second. Giving us our final answer of C. Thank you guys so much for watching hope this video helped. We will see you all in the next one
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Textbook Question
A small block has constant acceleration as it slides down a frictionless incline. The block is released from rest at the top of the incline, and its speed after it has traveled 6.80 m to the bottom of the incline is 3.80 m/s. What is the speed of the block when it is 3.40 m from the top of the incline?
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Textbook Question
A pickup truck is carrying a toolbox, but the rear gate of the truck is missing. The toolbox will slide out if it is set moving. The coefficients of kinetic friction and static friction between the box and the level bed of the truck are 0.355 and 0.650, respectively. Starting from rest, what is the shortest time this truck could accelerate uniformly to 30.0 m/s without causing the box to slide? Draw a free-body diagram of the toolbox.
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Textbook Question
The 'Giant Swing' at a county fair consists of a vertical central shaft with a number of horizontal arms attached at its upper end. Each arm supports a seat suspended from a cable 5.00 m long, and the upper end of the cable is fastened to the arm at a point 3.00 m from the central shaft (Fig. E5.50). (a) Find the time of one revolution of the swing if the cable supporting a seat makes an angle of 30.0° with the vertical.

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Textbook Question
A man pushes on a piano with mass 180 kg; it slides at constant velocity down a ramp that is inclined at 19.0° above the horizontal floor. Neglect any friction acting on the piano. Calculate the magnitude of the force applied by the man if he pushes (a) parallel to the incline
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