A 68.0 kg boulder is rolling horizontally at the top of a vertical cliff that is 20.0 m above the surface of a lake, as shown in figure below. The top of the vertical face of a dam is located 100.0 m from the foot of the cliff, with the top of the dam level with the surface of the water in the lake. A level plain is 25.0 m below the top of the dam. What must the minimum speed of the rock be just as it leaves the cliff so that it will travel to the plain without striking the dam? (Express your answer in meters per second.) How far from the foot of the dam does the rock hit the plain? (Express your answer in meters.)

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Chapter1: Units, Trigonometry. And Vectors
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A 68.0 kg boulder is rolling horizontally at the top of a vertical cliff that is 20.0 m above the surface of a lake, as shown in figure below. The top of the vertical face of a dam is located 100.0 m from the foot of the cliff, with the top of the dam level with the surface of the water in the lake. A level plain is 25.0 m below the top of the dam.

  1. What must the minimum speed of the rock be just as it leaves the cliff so that it will travel to the plain without striking the dam? (Express your answer in meters per second.)
  2. How far from the foot of the dam does the rock hit the plain? (Express your answer in meters.)
Uo
20 m Cliff
100 m
Lake
Dam
25 m
Plain
Transcribed Image Text:Uo 20 m Cliff 100 m Lake Dam 25 m Plain
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