Aman of 65kg jumps in aswimming from atower of height 19.6m.he was found to go down in water by 2m and started raising up.find the average resistance in water?
To find the average resistance in water, we need to gather some information and use a few calculations. Here's how we can do it step by step:
1. Calculate the potential energy of the person at the top of the tower:
Potential energy = mass × acceleration due to gravity × height
= 65 kg × 9.8 m/s^2 × 19.6 m
2. Calculate the initial potential energy when the person is 2m below the water's surface:
Initial potential energy = mass × acceleration due to gravity × (height - 2m)
= 65 kg × 9.8 m/s^2 × (19.6 m - 2 m)
3. Calculate the work done by gravity during the ascent of the person:
Work done = Initial potential energy - Potential energy
= (65 kg × 9.8 m/s^2 × (19.6 m - 2 m)) - (65 kg × 9.8 m/s^2 × 19.6 m)
4. Calculate the resistance force in water using the work done equation:
Work done = Force × displacement
Force × displacement = (65 kg × 9.8 m/s^2 × (19.6 m - 2 m)) - (65 kg × 9.8 m/s^2 × 19.6 m)
5. Solve for the resistance force:
Force = [(65 kg × 9.8 m/s^2 × (19.6 m - 2 m)) - (65 kg × 9.8 m/s^2 × 19.6 m)] / 2 m
6. Calculate the average resistance force:
Average resistance = Force / (height - 2m)
= [(65 kg × 9.8 m/s^2 × (19.6 m - 2 m)) - (65 kg × 9.8 m/s^2 × 19.6 m)] / (19.6 m - 2 m)
By plugging in the given values and solving this equation, you will find the average resistance force experienced by the person in water.