Explanation:
It is given that,
Average power per unit mass generated by Lance, 

(a) Distance to cover race, 
Average speed of the person, v = 11 m/s
If t is the time taken to cover the race.


t = 14545.46 s
Let W is the work done. The relation between the work done and the power is given by :



W = 7090911.75 J
(b) Since, 
So, in 7090911.75 J, 
W = 1694.01 J
Hence, this is the required solution.
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Answer:
The first is the closest in absolute values.
The second two are vague and the last is approximate.
Answer:
22145.27733 ft
124984.76055 ft
Explanation:
The equation of pressure is

where,
=Atmospheric pressure = 800 mbar
k = Constant
h = Altitude = 35000 ft


Now


The altitude will be 22145.27733 ft


The elevation is 124984.76055 ft
mass of the bottle in each case is M = 0.250 kg
now as per given speeds we can use the formula of kinetic energy to find it
1) when speed is 2 m/s
kinetic energy is given as


2) when speed is 3 m/s
kinetic energy is given as


3) when speed is 4 m/s
kinetic energy is given as


4) when speed is 5 m/s
kinetic energy is given as


5) when speed is 6 m/s
kinetic energy is given as

