Answer: Time Ratio of Falling Rock from 100m Cliff

  • Thread starter iloveuok
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In summary, the time ratio for falling rock from a 100m cliff is calculated using the equation t = √(2h/g), where t is the time in seconds, h is the height of the cliff in meters, and g is the acceleration due to gravity. This calculation is not affected by the mass of the rock, as all objects experience the same constant acceleration due to gravity. The time ratio equation can be used for any object that is dropped or falls from a certain height. However, it may not be completely accurate in real-world scenarios due to factors like air resistance. The time ratio is also affected by the height of the cliff, as a greater height results in a longer time for the rock to fall.
  • #1
iloveuok
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Hi Guys,

Can someone help to answer this question?

A rock is dropped from a 100m high cliff. Determine the ratio for the time taken by the rock to fall the first 50m to the time taken for it to fall the second 50m

Thanks.

Regards,
Alex
 
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  • #2
Well,

What equation would you use in this case ?
What forces act on the object when it is falling down ?
What is the initial position and velocity ?


You need to show your work first. What have you done up till now ?

regards
marlon
 

1. How is the time ratio of falling rock from a 100m cliff calculated?

The time ratio of falling rock from a 100m cliff is calculated using the equation t = √(2h/g), where t is the time in seconds, h is the height of the cliff in meters, and g is the acceleration due to gravity, which is approximately 9.8 m/s^2.

2. Is the time ratio affected by the mass of the rock?

No, the time ratio of falling rock from a 100m cliff is not affected by the mass of the rock. This is because the acceleration due to gravity is constant for all objects, regardless of their mass.

3. Can the time ratio be used for objects other than rocks?

Yes, the time ratio equation can be used for any object that is dropped or falls from a certain height. It is a general equation for calculating the time it takes for an object to fall.

4. How accurate is the time ratio for falling rock from a 100m cliff?

The time ratio calculated using the equation t = √(2h/g) is an idealized calculation and does not take into account factors such as air resistance. Therefore, it may not be completely accurate in real-world scenarios. However, it can provide a good estimate for the time it takes for a rock to fall from a 100m cliff.

5. Is the time ratio affected by the height of the cliff?

Yes, the time ratio is affected by the height of the cliff. As the height increases, the time it takes for the rock to fall also increases. This is because the distance the rock has to cover is greater, resulting in a longer time for it to reach the ground.

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