Suppose you are an engineer building a road across a mountain. From a prudential point of view, it would be easier and cheaper t
1 answer:
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Answer:
The minimum velocity is V=5.98[m/s]
Explanation:
In this problem the athlete jumps by printing a force to raise his mass at an initial speed, which we must determine. These two initial amounts of energy that we have, the kinetic energy (velocity with which it jumps) and the work done (mass of the athlete by the jumped distance) must be equal to the kinetic energy when its velocity is equal to 0.65[m/s]. By raising this equation, the initial speed can be cleared.
We have to keep in mind that the weight is acting down and the movement is one up so the work done by the force is negative
Therefore we have:
Reorganizing each of the members of the equation and clearing the final velocity.
Answer:
The bones are 16925 years old
Explanation:
We have to use the radioactive decay law and know that the half life of carbon-14 is . From this information we can know the decay rate of the carbon 14,
Now to know the age of the bones we must directly use the radioactive decay law:
Where the rightmost part of the equation comes from the statement that the activity found is just 12.9% of the activity that would be found in a similar live animal. This means that the number of carbon-14 atoms is just 12.9% of what it was at the moment the saber-toothed tiger died.
Solving for t we have: