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Math Help - Physics (test tomorrow) word problems: Two-dimensions/gravitation

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    Question Physics (test tomorrow) word problems: Two-dimensions/gravitation

    Really anxious. Thanks in advance to those who helped.

    1. A rock is tied to a string and spun in a horizontal circle. The string is 1.8m long and the rock has an acceleration of 3.4m/s^2. What is the tangential velocity of the rock?

    2. A marble rolls off the edge of a table that is 0.734m high. The marble is moving at a speed of 0.122m/s at the moment that it leaves the edge of the table. How far from the table does the marble land?

    3. A 0.45kg ball is attached to the end of a cord of length 1.4meters. The ball is whirled in a circular path om a horizontal plane. The cord can withstand a maximum tension of 57.0 Newtons before it breaks. What is the maximum speed the ball can have without breaking?

    Thanks again.
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    Quote Originally Posted by trancefanatic View Post
    Really anxious. Thanks in advance to those who helped.

    1. A rock is tied to a string and spun in a horizontal circle. The string is 1.8m long and the rock has an acceleration of 3.4m/s^2. What is the tangential velocity of the rock?

    2. A marble rolls off the edge of a table that is 0.734m high. The marble is moving at a speed of 0.122m/s at the moment that it leaves the edge of the table. How far from the table does the marble land?

    3. A 0.45kg ball is attached to the end of a cord of length 1.4meters. The ball is whirled in a circular path om a horizontal plane. The cord can withstand a maximum tension of 57.0 Newtons before it breaks. What is the maximum speed the ball can have without breaking?

    Thanks again.
    1. Use a = \frac{v^2}{r}.


    2. Basic projectile motion problem.

    Consider motion in the vertical direction to get t, the time it takes to land (u = 0, y = 0.734 m, a = g = 9.8 m/s^2, t = ?).

    Consider motion in the horizontal direction to get x, the distance from the table (u = 0.122 m/s, a = 0, t = see above, x = ?).


    3. T = \frac{m v^2}{r}. Set T = 57 N.
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