# A 24.5 kg child sits on a bathroom scale

1. A 24.5 kg child sits on a bathroom scale which is placed on the seat of a swing. What does the scale read when the swing is at rest? The child begins to swing back and forth until she reaches a maximum height of .85 meters (measured vertically) above the low point. What will the scale read as she passes the low point? The swing rope is 3 meters long.
2. A ball of mass .35 kg is swung at the end of a 2.4 m string such that the plane of its path is horizontal and the cirle it moves in has a radius of 1.4 m. Find the tension in the string and the angle which the string makes with the vertical.
3. A ball of mass .45 is attached to a rope and swung in a circle of radius 1.8 m with a centripetal acceleration of 3.1 m/s^2. What is the speed of the ball?
4. A ball of mass .25 kg is attached to a string .75 m long. The ball is swung in a pendulum-type motion such that it has a speed of 6.4 m/s when it reaches the lowest point in its path. What is the corresponding tension in the string?

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