To calculate the work done by the body when it runs up the flight of steps, we can use the formula for gravitational potential energy (which is equivalent to the work done against gravity):
\[ \text{Work} = \text{mass} \times \text{gravity} \times \text{height} \]
- Mass (m): 25 kg
- Acceleration due to gravity (g): 10 m/s²
- Height of each step: 20 cm (which is 0.20 m)
- Total number of steps: 25
Now, let's calculate the total height the body climbs:
\[ \text{Total height} = \text{height of each step} \times \text{number of steps} = 0.20 , \text{m} \times 25 = 5 , \text{m} \]
Now we can calculate the work done:
\[ \text{Work} = m \times g \times \text{Total height} = 25 , \text{kg} \times 10 , \text{m/s}² \times 5 , \text{m} \]
Calculating this:
\[ \text{Work} = 25 \times 10 \times 5 = 1250 , \text{J} \]
Thus, the body did 1250 Joules of work.