One of the games at a carnival involves trying to ring a bell with a ball by hitting a lever that propels the ball into the air.
1 answer:
Answer:
Ball will not hit bell.
Explanation:
The height of the ball is modeled by the equation h(t)= -16t²+39t
We need to find if the bell is 25 ft above the ground, will it be hit by the ball.
So we need to find maximum height of the ball.
For maximum height we have
Substituting in h(t) = -16t²+39t
Maximum height reached = h(1.22) = -16 x 1.22²+39 x 1.22 = 23.77 ft
So maximum height reached is less than height of bell.
Ball will not hit bell.
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Answer:
a) The student must run flight of stairs to lose 1.00 kg of fat 709.5 times.
b) Average power
P(w)= 1062.07 [w]
P(hp)=1.42 [hp]
c) This activity is highly unpractical, because the high amount of repetitions he has to due in order to lose, just 1 Kg of fat.
Explanation:
First, lets consider the required amount of work to move the mass of the student. (considering running stairs just as a vertical movement)
Work:
Where m is the mass of the student, g is gravity (9.8 m/s) and d is the total distance going up the stairs (0.15m *85steps= 12.75m )
Converting from Joules to Kcals:
Now lets take into account the efficiency of the human body (20%)
2.537 ---> 20%
x ---> 100%
So the student is consuming 12.685 KCals each time he runs up the stairs.
Now,
1 g --> 9 Kcals
1000 g --> 9000KCals
Burning 1 g of fat, requieres 9 KCals, 1000g burns 9000KCals. So in order to burn a 1Kg of fat:
He must run up the stairs 709.5 times, to burn 1 Kg of fat.
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For b) just converting units, taking into account the time lapse. (53103.75 is the 100% of the energy in joules, from converting 12.685Kcals to joules)
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