Kepler’s first law states that:
1 answer:
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Complete Question
The complete question is shown on the first uploaded image
Answer:
Part A
The velocity of Tarzan is
Part B
The percentage loss of kinetic energy is %-loss %
Part C
The speed would be exactly the same
Explanation:
From the question we are told that
The mass of Tarzan is
The height of the cliff is
From the law of conservation of energy
Where PE is the potential energy of Tarzan at the top of the cliff which is mathematically represented as
KE is the kinetic energy of Tarzan as he swings toward jane and is mathematically represented as
So
=>
Substituting values
=>
From the question we are told that the actual velocity of Tarzan is
The kinetic energy at the the velocity is mathematically represented as
Substituting values
The kinetic energy at is
=>
Now the percentage loss of kinetic energy is mathematically evaluated as
%-loss
substituting values
%-loss
%-loss %
The mass of Tarzan does not affect the speed because looking at this equation
We see that the velocity of Tarzan is not dependent on the mass of Tarzan
