Answer:
a) It will take you 16.94 min to climb the stairs.
b) The numbers of flights are 123 flights.
Explanation:
a) Let the energy consumption while climbing the stairs be 685 W in kcal/min is given by:
rate of energy consumption = (685 W)×[(0.01433kcal/min)/1 W]
= 9.81605 kcal/min
the time it takes to climb the stairs is given by:
t = E/P
= (166.0 kcal)/(9.8 kcal/min)
= 16.94 min
Therefore, it will take you 16.94 min to climb the stairs.
b) Given t is the time it takes to climb stairs and N is the number of stairs to climb per min, then the number of stairs is:
n = t×N
= (16.94)×(116)
= 1965 stairs
given the number of stairs each flight as N1, then the number of flights is given by:
flights = n/N1
= (1965)/(16)
= 123 flights
Therefore, the numbers of flights are 123 flights.
This question involves the concepts of the law of conservation of energy, kinetic energy, and potential energy.
The height of the hill is "166.76 m".
<h3>LAW OF CONSERVATION OF ENERGY:</h3>
According to the law of conservation of energy at the highest point of the roller coaster ride, that is, the hill, the whole (maximum) kinetic energy of the roller coaster is converted into its potential energy:

where,
- h = height of the hill = ?
= maximum velocity = 57.2 m/s
- g = acceleration due to gravity = 9.81 m/s²
Therefore,

<u>h = 166.76 m</u>
Learn more about the law of conservation of energy here:
brainly.com/question/101125
<h2>Hello!</h2>
The answer is: Coulomb's law equation.
<h2>Why?</h2>
The Coulomb's law states that the strength of an electric field (between two charges) can be calculated by multiplying their charges and dividing it into the square of the distance between their centers.

Where:
E = Electric Field Strenght


d = separation between charges (m)
Have a nice day!
Work Done ( By Gravity) = Mg.H
= 15*10*20
=3 kJ
Answer:
2.33 nC, 4.67 nC
Explanation:
when the two spheres are connected through the wire, the total charge (Q=7.00 nC) re-distribute to the two sphere in such a way that the two spheres are at same potential:
(1)
Keeping in mind the relationship between charge, voltage and capacitance:

we can re-write (1) as
(2)
where:
Q1, Q2 are the charges on the two spheres
C1, C2 are the capacitances of the two spheres
The capacitance of a sphere is given by

where R is the radius of the sphere. Substituting this into (2), we find
(3)
we also know that sphere 2 has twice the diameter of sphere 1, so the radius of sphere 2 is twice the radius of sphere 1:

So the eq.(3) becomes

And re-arranging it we find:

And since we know that the total charge is

we find
