a persons heart and head are 1.3 meter and 1.8 meter above the feet,respectively.determine the potential energy of 0.5 kg of blood in the heart relative to feet and head
E.P=mgh
M=0.5 G=10ms-2 H=1.8-1.3=0.5
E.P=0.5*10*0.5
E.p=2.5
To calculate the potential energy of 0.5 kg of blood in the heart relative to the feet and head, we need to consider the gravitational potential energy.
The potential energy (PE) can be calculated using the formula:
PE = m * g * h
Where:
PE is the potential energy
m is the mass of the object (in this case, 0.5 kg of blood)
g is the acceleration due to gravity (approximately 9.8 m/s^2)
h is the height or vertical distance relative to the reference point (in this case, the feet or head)
First, let's calculate the potential energy relative to the feet:
PE_feet = m * g * h_feet
Given that the height from the feet to the heart is 1.3 meters, we have:
PE_feet = 0.5 kg * 9.8 m/s^2 * 1.3 m
PE_feet ≈ 6.37 J
Now, let's calculate the potential energy relative to the head:
PE_head = m * g * h_head
Given that the height from the head to the heart is 1.8 meters, we have:
PE_head = 0.5 kg * 9.8 m/s^2 * 1.8 m
PE_head ≈ 8.82 J
Therefore, the potential energy of 0.5 kg of blood in the heart relative to the feet is approximately 6.37 Joules, and the potential energy relative to the head is approximately 8.82 Joules.
To determine the potential energy of 0.5 kg of blood in the heart relative to the feet and head, we need to consider the gravitational potential energy (PE) formula:
PE = m * g * h
Where:
m = mass (in kg),
g = acceleration due to gravity (approximately 9.8 m/s^2),
h = vertical height difference (in meters).
Let's calculate the potential energy relative to the feet and head separately.
For the feet:
The height difference is given as 1.3 meters.
Therefore, the potential energy relative to the feet is:
PE_feet = 0.5 kg * 9.8 m/s^2 * 1.3 m
Calculate the result:
PE_feet = 6.37 Joules (rounded to two decimal places).
For the head:
The height difference is given as 1.8 meters.
Therefore, the potential energy relative to the head is:
PE_head = 0.5 kg * 9.8 m/s^2 * 1.8 m
Calculate the result:
PE_head = 8.82 Joules (rounded to two decimal places).
So, the potential energy of 0.5 kg of blood in the heart relative to the feet is 6.37 Joules, and relative to the head is 8.82 Joules.