To find the average power developed by the girl, we can use the formula:
Average Power = Work / Time
First, let's find the work done by the girl. The work done to climb a step can be calculated as the product of the force applied and the distance moved. In this case, the force applied is equal to the weight of the girl, which can be calculated as:
Force = mass * acceleration due to gravity
Force = 60kg * 10m/s^2
Force = 600N
The distance moved when climbing one step is given as 0.5m. Therefore, the work done to climb one step is:
Work = Force * Distance
Work = 600N * 0.5m
Work = 300 Joules
Next, we need to find the total work done by the girl to climb up all the steps. Since there are 20 steps, the total work done can be calculated as:
Total Work = Work per Step * Number of Steps
Total Work = 300 Joules * 20
Total Work = 6000 Joules
Finally, we can calculate the average power developed by the girl using the given time of 10 seconds:
Average Power = Total Work / Time
Average Power = 6000 Joules / 10 seconds
Average Power = 600 Watts
Therefore, the average power developed by the girl is 600 Watts.
A girl of mass 60kg runs up a flight of 20 steps each of 0.5m high in 10sec.find the average power developed (g=10m/s^2
3 answers
A body of mass of 10kg is acted upon by a constant force of 30N for 2sec.calculate the kinetic energy gained by the body
To calculate the kinetic energy gained by the body, we can use the formula:
Kinetic Energy = 1/2 * mass * velocity^2
First, let's find the acceleration of the body using the given force and mass. According to Newton's second law:
Force = mass * acceleration
Rearranging the formula, we can solve for acceleration:
acceleration = Force / mass
acceleration = 30N / 10kg
acceleration = 3 m/s^2
Next, let's calculate the final velocity of the body using the formula:
velocity = initial velocity + acceleration * time
Since the initial velocity is 0 (assuming the body starts from rest), the equation simplifies to:
velocity = acceleration * time
velocity = 3 m/s^2 * 2 sec
velocity = 6 m/s
Now, we can calculate the kinetic energy gained by the body using the formula mentioned earlier:
Kinetic Energy = 1/2 * mass * velocity^2
Kinetic Energy = 1/2 * 10kg * (6m/s)^2
Kinetic Energy = 1/2 * 10kg * 36 m^2/s^2
Kinetic Energy = 180 Joules
Therefore, the kinetic energy gained by the body is 180 Joules.
Kinetic Energy = 1/2 * mass * velocity^2
First, let's find the acceleration of the body using the given force and mass. According to Newton's second law:
Force = mass * acceleration
Rearranging the formula, we can solve for acceleration:
acceleration = Force / mass
acceleration = 30N / 10kg
acceleration = 3 m/s^2
Next, let's calculate the final velocity of the body using the formula:
velocity = initial velocity + acceleration * time
Since the initial velocity is 0 (assuming the body starts from rest), the equation simplifies to:
velocity = acceleration * time
velocity = 3 m/s^2 * 2 sec
velocity = 6 m/s
Now, we can calculate the kinetic energy gained by the body using the formula mentioned earlier:
Kinetic Energy = 1/2 * mass * velocity^2
Kinetic Energy = 1/2 * 10kg * (6m/s)^2
Kinetic Energy = 1/2 * 10kg * 36 m^2/s^2
Kinetic Energy = 180 Joules
Therefore, the kinetic energy gained by the body is 180 Joules.