You swing a 4.6-kg bucket of water in a vertical circle of radius 1.4m. A) What speed must the bucket have if it is to complete the circle without spilling any water? B) How does your answer depend on the mass of the bucket
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You swing a 4.6-kg bucket of water in a vertical circle of radius 1.4m.
A) What speed must the bucket have if it is to complete the circle without spilling any water?
B) How does your answer depend on the mass of the bucket?
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- In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A better expression for the rockets position measured from the center of the Earth is given by y(t)=(R3/2+3g2Rt)2/3j where R is the radius of the Earth (6.38 106 m) and g is the constant acceleration of an object in free fall near the Earths surface (9.81 m/s2). a. Derive expressions for vy(t) and ay(t). b. Plot y(t), vy(t), and ay(t). (A spreadsheet program would be helpful.) c. When will the rocket be at y=4R? d. What are vy and ay when y=4R?Instead of moving back and forth, a conical pendulum moves in a circle at constant speed as its string traces out a cone (Fig. P6.68). One such pendulum is constructed with a string of length L = 12.0cm and bob of mass 0.210 kg. The string makes an angle = 7.00 with the vertical, a. What is the radial acceleration of the bob? b. What are the horizontal and vertical components of the tension force exerted by the string on the bob?Questions 1-4: A 2-kg mass is moving in a circular path on the end of a 0.50-m string. The mass moves in a horizontal circle with a speed of 4.0 m/s. A. 0.50m 12.0kg a,
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