A 70 kg man carrying a 10 kg suit case climbing a ladder of 5 m in two minute, power developed by the man is (g=10 m/s2 ).?
Power = force x distance/time
force = mass x acceleration
=(70+10)kg x 10 m s^-2
distance = 5 m
time = 2 x 60 s
To calculate the power developed by the man while climbing the ladder, we can use the following formula:
Power = Work / Time
Work is given by the formula:
Work = Force * Distance
In this case, the force is equal to the weight of the man and the suitcase combined. The weight can be calculated using the formula:
Weight = Mass * Gravity
Given that the mass of the man is 70 kg and the mass of the suitcase is 10 kg, we can calculate the weight as follows:
Weight = (70 kg + 10 kg) * 10 m/s^2 (acceleration due to gravity)
Weight = 80 kg * 10 m/s^2
Weight = 800 N (Newtons)
Now that we have the weight, we can calculate the work done by the man using the formula:
Work = Force * Distance
Work = 800 N * 5 m (distance climbed)
Work = 4000 J (Joules)
Finally, we can calculate the power developed by the man using:
Power = Work / Time
Given that the climbing time is 2 minutes, which is equal to 120 seconds, we have:
Power = 4000 J / 120 s
Power = 33.33 Watts (approximately)
Therefore, the power developed by the man while climbing the ladder is approximately 33.33 Watts.