Remember, the treadmil is a machine. What is the inpput force exerted by the man inside the whill?? what is the output force exerted upon the water rising from the well? waht is the mechanical advantage of this machine? the man wt is 75kg. he raises his body 0.5 m the water wt. 750 kg every time he steps he raises the water .05m
1. To calculate the input force exerted by the man inside the well, we can use the following equation:
Input Force = Weight × Acceleration due to gravity
Weight = Mass × Acceleration due to gravity
The mass of the man is given as 75 kg, and the acceleration due to gravity is approximately 9.8 m/s^2.
Weight = 75 kg × 9.8 m/s^2 = 735 N
Therefore, the input force exerted by the man is 735 N.
2. The output force exerted upon the water rising from the well is equal to the weight of the water. Given that the weight of the water is 750 kg, we can calculate the output force using the same formula:
Output Force = Weight × Acceleration due to gravity
Weight = Mass × Acceleration due to gravity
Weight = 750 kg × 9.8 m/s^2 = 7350 N
Therefore, the output force exerted upon the water rising from the well is 7350 N.
3. The mechanical advantage of a machine is calculated as the ratio of output force to input force:
Mechanical Advantage = Output Force / Input Force
Mechanical Advantage = 7350 N / 735 N = 10
Therefore, the mechanical advantage of this machine is 10.
To find the input force exerted by the person on the treadmill, you can use the equation:
Input Force = Mass x Acceleration
Given that the person's weight (mass) is 75 kg, we can assume they are accelerating at a constant speed (0 m/s^2). Therefore, the input force exerted by the person is:
Input Force = 75 kg x 0 m/s^2 = 0 N
Since the person is not accelerating, the input force exerted by the person on the treadmill is zero.
Moving on to the second part of your question, to find the output force exerted upon the rising water from the well, we can use the equation:
Output Force = Mass x Acceleration
Given that the mass of the water being raised is 750 kg and it is being raised at a constant speed (0 m/s^2), the output force exerted upon the water rising from the well is:
Output Force = 750 kg x 0 m/s^2 = 0 N
Similar to the input force, since there is no acceleration, the output force exerted on the water is zero.
Finally, the mechanical advantage of a machine is defined as the ratio of the output force to the input force. In this case, since both the input and output forces are zero, the mechanical advantage of this machine would be undefined, or more accurately, zero divided by zero.
However, it's worth noting that since the man is performing work by raising his body and the water, energy is still being expended. The concept of mechanical advantage may not directly apply in this situation, as it is typically used to describe machines that multiply force or change the direction of force.