5.58 - A bowling ball weighing 71.2 N (16.0 lb) is attached to the ceiling by a 3.80-m rope. The ball is pulled to one side and released; it then swings back and forth as a pendulum. As the rope swings through the vertical, the speed of the bowling ball is 4.20 m/s. At this instant, what are (a) the acceleration of the bowling ball, in magnitude and direction, and (b) the tension in the rope?

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Lelia LubowitzLv2

26 Jul 2018

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Question Two

A rocket is fired at an angle from the top of a tower of height ho = 50.0 m. Because of the design of the engines, its position coordinates are of the form

x(t) = A + Bt² and y(t) = C + Dt³

where A, B, C, and D, are constants.

Furthermore, the acceleration of the rocket 1.00 s after firing is a = (4.00i + 3.00j) m/s .

Take the origin of coordinates to be at the base of the tower.

(a) Find the constants A, B, C, and D, including their SI units.

(b) At the instant after the rocket is fired, what are its acceleration vector and its velocity?

(d) What is the position vector of the rocket 10.0 s after it is fired?

Question Four

Figure 2

A bowling ball weighing 71.2 N is attached to the ceiling by a 3.80-m rope. The ball is pulled to one side and released; it then swings back and forth as a pendulum. As the rope swings through the vertical, the speed of the bowling ball is 4.20 m/s.

(a) What is the acceleration of the bowling ball, in magnitude and direction, at this instant?

(b) What is the tension in the rope at this instant? (10 marks)

limeimpala452

1) A tetrahedral is attached to a swivel in the ceiling by a light cord of length L. When the ball is hit by a paddle, it swings in a horizontal circle with constant speed v, and the cord makes a constant angle β with the vertical direction. The ball goes through one revolution in time T. Assuming that T, the mass m, and the length L, of the rope are known, derive algebraic expressions for the tension F2 in the cord and the angle β.

A simple pendulum is made from a 0.59 m long string and a small ball attached to its free end. The ball is pulled to one side through a small angle and then released from rest. After the ball is released, how much time elapses before it attains its greatest speed?