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Answer:
h = 67.081 m
Explanation:
Given that,
The time taken by a person to fall down is, t = 2.2 s
The height of the cliff from the ground, h = ?
The distance that the person will fall through the time is given by the formula
S = 1/2 gt² m
Where,
g - acceleration due to gravity
Substituting the values in the above equation
S = 1/2 x 9.8 m/s² x (3.7 s)²
= 67.081 m
Therefore, the height of the cliff from the ground is, h = 67.081 m
To solve this problem we will apply the concepts related to the Doppler effect. The relationship given between the observed frequency and the actual frequency is given under the following mathematical function,
Here,
Rearrange the equation to obtain the frequency observed
Therefore the frequency of the emergency lights that you observe when it reaches you in your spaceship is
(a) The momentum of a moving object is given by:
where m is the mass of the object and v is its speed. In this problem, the mass of the elephant is and its speed is , therefore its momentum is
(b) We can use the same formula to calculate the momentum of the tranquilizer dart, whose mass is and whose speed is :
we see that the elephant's momentum is much larger than the momentum of the dart.
(c) Again, using the same formula, the mass of the hunter is , his speed is , therefore his momentum is