An electric dentist chair lifts ruth,110,0.3 meters in 10 seconds what is the power developed by this chair?
(110kg * 9.8m/s^2 * 0.3m)/(10s) = 32.3W
To find the power developed by the electric dentist chair, we can use the formula:
Power = Work / Time
First, let's calculate the work done by the chair:
Work = Force x Distance
The force can be calculated using Newton's second law:
Force = mass x acceleration
Since the mass of the chair is not given, we can assume it to be negligible compared to the force generated by the chair. Therefore, the force can be taken as the weight of Ruth:
Force = mass x acceleration due to gravity
The acceleration due to gravity (g) is approximately 9.8 m/s², and the mass of an average person is around 70 kg.
Force = 70 kg x 9.8 m/s²
Now, let's calculate the work done:
Work = Force x Distance
The distance lifted by the chair is given as 0.3 meters.
Work = (70 kg x 9.8 m/s²) x 0.3 m
Next, let's find the time taken:
Time = 10 seconds
Finally, we can substitute the values into the power formula:
Power = Work / Time
Power = [(70 kg x 9.8 m/s²) x 0.3 m] / 10 s
Calculating this equation will give us the power developed by the chair.
To calculate the power developed by the electric dentist chair, we can use the formula:
Power = Work / Time
First, we need to calculate the work done by the chair. The work done is equal to the force applied multiplied by the distance moved. In this case, we need to find the force.
Force = Weight = mass × gravity
Here, we are given the weight of Ruth, which is 110 Newtons. Since weight is given by the formula weight = mass × gravity, we can rearrange the formula to find the mass.
mass = weight / gravity
Considering the acceleration due to gravity is approximately 9.8 m/s^2, we can calculate the mass as:
mass = 110 N / 9.8 m/s^2 = 11.22 kg
Now, we can calculate the work done by the chair:
Work = force × distance
Given that the chair lifts Ruth by a height of 0.3 meters, we have:
Work = force × 0.3 meters
Substituting the force calculated above:
Work = (mass × gravity) × 0.3 meters
Work = (11.22 kg × 9.8 m/s^2) × 0.3 meters
Now, we can calculate the power by using the formula:
Power = Work / Time
Given that the time taken is 10 seconds, we have:
Power = (11.22 kg × 9.8 m/s^2) × 0.3 meters / 10 seconds
Finally, by evaluating the expression, we can find the power developed by the chair.