A man pulls a bucket of water of mass 10kg from a well 5meter deep in 5 sec. Calculate the power of the man.
Power = Work Done / Time
Work Done = Change in Potential Energy
Change in Potential Energy = mgh
Therefore,
Power = mgh/t
= 10*5*9.8/5
= 98 W
To calculate the power of the man, we need to use the formula:
Power (P) = Work (W) / Time (t)
First, let's calculate the work done by the man.
Work (W) is equal to the force applied (F) times the distance (d) traveled in the direction of the force:
Work (W) = Force (F) × Distance (d)
The force applied by the man is equal to the weight of the bucket of water. The weight W can be calculated using the formula:
Weight (W) = mass (m) × acceleration due to gravity (g)
Given that the mass (m) of the bucket of water is 10 kg and the acceleration due to gravity (g) is approximately 9.8 m/s^2, we can calculate the weight:
Weight (W) = 10 kg × 9.8 m/s^2 = 98 N
The distance (d) the bucket was lifted is 5 meters.
By substituting the values into the work formula, we can calculate the work done by the man:
Work (W) = 98 N × 5 m = 490 Nm (Joules)
Now, let's calculate the power using the formula:
Power (P) = Work (W) / Time (t)
Given that the time (t) taken by the man is 5 seconds, we can calculate the power:
Power (P) = 490 Nm (Joules) / 5 s = 98 Watts
Therefore, the power of the man is 98 Watts.
To calculate the power of the man, we need to use the formula:
Power = Work/Time
First, let's calculate the work done by the man. The work done is equal to the force applied multiplied by the distance moved. In this case, the force applied is the weight of the bucket, which is equal to the gravitational force acting on it.
The gravitational force can be calculated using the formula:
Force = Mass * Acceleration due to gravity
where the acceleration due to gravity is approximately 9.8 m/s^2.
Force = 10 kg * 9.8 m/s^2 = 98 N
The distance moved is equal to the depth of the well, which is given to be 5 meters.
Now, let's calculate the work done:
Work = Force * Distance = 98 N * 5 m = 490 J
Finally, we can calculate the power using the given time:
Time = 5 s
Power = Work/Time = 490 J / 5 s = 98 W
Therefore, the power of the man is 98 Watts.
Here,m=10kg
h=5meter
t=5sec
g=10m/s
and,since P=(m×g×h)÷t
(10×10×10)÷5
=100