QUESTIONS Lab Determine the work and the power developed when we walk up the stairs. Will...

QUESTIONS Lab Determine the work and the power developed when we walk up the stairs.

Will the work increase, decrease or stay the same if we increase the number of steps in the stairs? Please explain.
Will the work increase, decrease, or stay the same if the student carries heavy boxes
What can you tell about the energy the student has before and after walking up the stairs? Is it increased, decreased, or stays the same? If the energy changes, can you tell by how much is the minimum change?
Will the work performed increase, decrease, or stay the same if the student runs instead of walking up the stairs? Please explain.
What will happen to the power developed if the student runs instead of walking up the stairs? Will the power increase, decrease, or stay the same?

Solutions

Expert Solution

Gravitational potential energy is energy an object possesses because of its position in a gravitational field. The change in the energy can be expressed for a mass m and height difference as

(a) If you increase the number of steps in the stairs, the work done by you will be the change in gravitational potential energy. It will increases as the value of h increases.

(b) if the student carries heavy boxes, the change in gravitational potential energy increases as the value of m increases.

(c) The energy the student after walking up the stairs is equal as before if you consider there is no loss of energy. Because the student did some work which will converted to the gravitational potential energy according to conservation of mechanical energy.

The minimum change in energy will be the change of potential energy = mgh.

(d) The work performed stay the same if the student runs instead of walking up the stairs. Now the kinetic energy will convert to the gravitational potential energy according to conservation of mechanical energy.

(e) The power (P) is expressed by the equation as

The student climb a fixed height by running or by walking. Therefore, the power is inversely proportional to time. The time required during running is less than walking. Therefore, the power increases if the student runs instead of walking up the stairs.

genius_generous answered 1 month ago

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