How many 25 cm stair steps would a 80 kg person need to climb to gain...

How many 25 cm stair steps would a 80 kg person need to climb to gain the same ammount of potential energy as provided by a can of coke wich has 140 calories.

Expert Solution

The potential energy at a height H is given by

where, m is the mass of the person, and g is the gravitational energy.

And if each stair step has a height h, then, let us assume that there are n steps. Then, we have H = nh. So, we have

And the energy stored in the can is

Converting this into the joule unit ( 1 cal = 4.2 joule), we get


And so, we get from the energy equivalent condition



Now given the values,

we get the number of steps

genius_generous answered 5 months ago

How many meters of stairway (in height) could a 70 kg man climb if all the...

How many meters of stairway (in height) could a 70 kg man climb if all the energy available in metabolizing an 11 g spoonful of sugar to carbon dioxide and water could be converted to work? For 1 mol of glucose oxidized to CO2 and H2O, 673 kcal of heat is released.

A person with mass m1 = 80 kg person climbs a uniform ladder with mass m2...

A person with mass m1 = 80 kg person climbs a uniform ladder with mass m2 = 40 kg and length L = 10 m long that rests against a vertical frictionless wall at an angle of θ = 70° with the floor. When the person climbs 7.0 m from the base of the ladder, the ladder starts to slip. When answering the questions, use the symbolic notations given before using numerical substitutions. B)Find the force of the wall Fw...

An 80-kg person stands at one end of a 130-kg boat. He then walks to the...

An 80-kg person stands at one end of a 130-kg boat. He then walks to the other end of the boat so that the boat moves 80 cm with respect to the bottom of the lake. A. What is the length of the boat? B. How much did the center of mass of the person-boat system move when the person walked from one end to the other?

Ants on a Sandwich How many ants will climb on a piece of a peanut butter...

Ants on a Sandwich How many ants will climb on a piece of a peanut butter sandwich left on the ground near an ant hill? To study this, a student in Australia left a piece of a sandwich for several minutes, then covered it with a jar and counted the number of ants. He did this eight times, and the results are shown in Table 3.10. (In fact, he also conducted an experiment to see if there is a difference...

A solid cylinder with a mass of 3 kg, a radius of 25 cm, and a...

A solid cylinder with a mass of 3 kg, a radius of 25 cm, and a length of 40 cm is rolling across a horizontal floor with a linear speed of 12 m/s. The cylinder then comes to a ramp, and, as it is rolling up this ramp without slipping, it is slowing down. When the cylinder finally comes to a stop and begins rolling back down the ramp, how high is it above the floor?

How would the steps of sensory perception be affected if a person sustains damage to axons...

How would the steps of sensory perception be affected if a person sustains damage to axons that lead from sensory receptors to the central nervous system? A) Reception would not be affected. However, signal transduction and perception will be incomplete. B) Perception would not be affected. However, signal transduction and reception will be incomplete. C) Signal transduction would not be affected. However, reception and perception will be incomplete. D) Reception and signal...

Describe the steps that would be necessary to gain access to a formal organization for the...

Describe the steps that would be necessary to gain access to a formal organization for the purposes of doing field research. (Do not just list the steps, you need to describe what each is and what it entails)

3)A person with mass m1 = 80 kg stands at the left end of a uniform...

3)A person with mass m1 = 80 kg stands at the left end of a uniform beam with mass m2 = 100 kg and a length L = 4.0 m. Another person with mass m3 = 110 kg stands on the far right end of the beam and holds a medicine ball with mass m4 = 10 kg (assume that the medicine ball is at the far right end of the beam as well). Let the origin of our coordinate...

A person with mass m=80 kg is training for pushups. Assume that the distance between the...

A person with mass m=80 kg is training for pushups. Assume that the distance between the shoulders and the feet is 1.5 m, and the center of mass is at 1 m from the feet. First, he is trying to do a normal pushup. Assuming only vertical forces, what is the force on the arms?After that proved to be too difficult, he tries a modified version, where his arms are on the kitchen counter instead (~92 cm from the ground),...

How many kilograms of 0°C ice needs to be added to 4 kg of 80°C tea...

How many kilograms of 0°C ice needs to be added to 4 kg of 80°C tea to change the temperature to 10°C? Assume tea has the same specific heat as water.

Question