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Q. How might a magician make the Statue of Liberty disappear? Imagine that you are sitting with some spectators on a circular platform that, unknown to all of you, can rotate very slowly. It is evening, and you can see the Statue of Liberty a short distance away between two tall brightly lit columns at the rim of the platform. A large curtain can be drawn between the columns to temporarily hide the statue. The magician closes curtain, and then rotates the platform through an angle of just 0.171 radians so the statue is hidden behind one of the columns when the curtain is opened. (a) If platform rotation takes 24.0 seconds, what is the average angular speed required? (b) You are sitting 4.00m from the center of rotation while the platform is rotating. What is the centripetal acceleration required to move you along the circular arc? (c) Estimate the centripetal acceleration as a fraction of g. You might be unaware of the rotation, especially if you were distracted.
A snowmobile climbs a hill at velocity v-up. The slope of the hill is a 2 ft rise for every 70 ft of distance. The resistive force of the snow is equal to 4.12 percent of the weight of the snowmobile. How fast will the snowmobile move downhill, assum..
Discuss briefly centripetal acceleration, the speed and the force exerted by a ball attached to a string.
An ocean liner leaves New York City and travels 34.0° north of east for 169 km. How far east and how far north has it gone? In other words, what are the magnitudes of the components of the ship's displacement vector in the subsequent directions.
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A young boy swings a yo-yo horizontally above his head at an angular acceleration of 0.32 rad/s^2. If the tangential acceleration of the yo-yo at the end of the string is 0.15 m/s^2, how long is string.
After falling from rest from a height of 35 m, a 0.58-kg ball rebounds upward, reaching the height of 26 m. If the contact between ball and ground lasted 2.5 ms, what average force was exerted on ball.
How to design atrium of a new building
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The cable pulls horizontally on the box, and a 50.30 bag of gravel rests on top of the box. The coefficients of friction between the box and roof are shown. The system is not moving. Find out the friction force on the bag of gravel.
The flywheel of an engine has a moment of inertia 2.80 {rm kg} cdot {rm m} ^ {2} about its rotation axis. What is its final kinetic energy.
With what tension should a rope with length 3.00m and mass 0.135kg be stretched for transverse waves of frequency 43.0Hz to have a wavelength of 0.720m. What torque does friction exert even as this wheel is slowing down.
The kinetic friction force between surface and disk slows down its linear motion while at the same time making the disk spin on its axis at an accelerating rate. Finally, the disk's rotation catches up with its linear motion, and disk begins to roll ..
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