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Solved: Cliff Height. You are climbing in the High Sierra
Chapter 2, Problem 90P(choose chapter or problem)
Problem 90P
Cliff Height. You are climbing in the High Sierra where you suddenly find yourself at the edge of a fog-shrouded cliff. To find the height of this cliff, you drop a rock from the top and 10.0 s later hear the sound of it hitting the ground at the foot of the cliff. (a) Ignoring air resistance, how high is the cliff if the speed of sound is 330 m/s? (b) Suppose you had ignored the time it takes the sound to reach you. In that case, would you have overestimated or underestimated the height of the cliff? Explain your reasoning.
Questions & Answers
QUESTION:
Problem 90P
Cliff Height. You are climbing in the High Sierra where you suddenly find yourself at the edge of a fog-shrouded cliff. To find the height of this cliff, you drop a rock from the top and 10.0 s later hear the sound of it hitting the ground at the foot of the cliff. (a) Ignoring air resistance, how high is the cliff if the speed of sound is 330 m/s? (b) Suppose you had ignored the time it takes the sound to reach you. In that case, would you have overestimated or underestimated the height of the cliff? Explain your reasoning.
ANSWER:
Solution 90P
Step 1 of 4:
- Distance travelled by rock to reach the ground,
S= ut +
Where S is the distance , u is initial velocity, t is time taken by rock to reach ground and acceleration a=g= 9.8
Using u= 0 as it is drop from height S, t= and a=g= 9.8
S= 0 +
S= 4.9 ………………...1