a 40kg girl climbs a vertical ladder at .5 m/s. what is her power output?
power= work/time= mgh/time= mg*velocity
= 40*9.8*.5
To calculate the power output of the girl, we can use the formula:
Power = Force × Velocity
First, we need to determine the force exerted by the girl. The force can be calculated using the equation:
Force = Mass × Acceleration
The girl's mass is given as 40 kg, and we know the acceleration due to gravity is approximately 9.8 m/s² (assuming the ladder is vertical). Therefore, the force exerted by the girl can be calculated as:
Force = 40 kg × 9.8 m/s² = 392 N
Now that we have the force, we can use it to calculate the power output. Given that the girl climbs at a velocity of 0.5 m/s, we can substitute these values into the original power equation:
Power = (Force) × (Velocity) = 392 N × 0.5 m/s = 196 Watts (or 196 Joules/second)
Therefore, the power output of the girl is 196 Watts.