Answer:
2.9174meters.
Explanation:
410Calories = 1715.44 Joules (Energy).
we have essentially calculate height at which Gravitational potential is 1715.44 Joules.
We know that Gravitational Potential as a function of height above reference point is.
[tex]G(h)=mgh[/tex].
Substituting values in gives.
[tex]1715.44 joules = 60Kg*9.8m/s^2*h[/tex]
in above solve for h and you will get.
h = 2.917meters (units are meters by dimentional analysis ).
That is the height a 60Kg person can reach by climbing stairs.
The person can climb up to the height of 2.91 m.
Given data:
The energy produced by candy is, [tex]E =410 \;\rm cal =410 \times 4.184 =1715.44 \;\rm J[/tex].
The mass of person is, m = 60 kg.
The given problem is based on energy conversion. Here, the candy bar is consumed by the person, for which the calories of energy will be converted into the potential energy of person.
Energy in Candy = Potential Energy
E = U
[tex]E =mgh[/tex]
Here, g is the gravitational acceleration and h is the height climbed by the person.
Solving as,
[tex]1715.44 = 60 \times 9.8 \times h\\\\h = \dfrac{1715.44}{60 \times 9.8} \\\\h =2.91 \;\rm m[/tex]
Thus, we can conclude that the person can climb up to the height of 2.91 m.
Learn more about the potential energy here:
https://brainly.com/question/24284560
