The average human has a density of 945 kg/m3 after inhalation, and 1020 kg/m3 after exhalation. Fresh water has a density of 100
1 answer:
Answer:
a. The human body has nearly the same density as salt water after exhaling.
b. The human body will always float in the Dead Sea.
Explanation:
According to the concept of floating on the basis of density, any body that is put in a fluid of density greater than its own density will always float due to the force of buoyancy from the liquid.
- The portion of the object submerged while the object is floating depends upon the density of the object as compared to the density of the fluid. This is governed by the equation:
where:
density of the fluid
density of the object
volume of the object submerged in the fluid
total volume of the object
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Answer:
The work done by non-conservative forces on the car from the top of the first hill to the top of the second hill is 6574.75 joules.
Explanation:
By Principle of Energy Conservation and Work-Energy Theorem we present the equations that describe the situation of the roller coaster car on each top of the hill. Let consider that bottom has a height of zero meters.
From top of the first hill to the bottom
(1)
From the bottom to the top of the second hill
(2)
Where:
- Mass of the roller coaster car, in kilograms.
- Speed of the roller coaster car at the bottom between the two hills, in meters per second.
- Gravitational acceleration, in meters per square second.
- Height of the first top of the hill with respect to the bottom, in meters.
- Work done by non-conservative forces on the car between the top of the first hill and the bottom, in joules.
- Speed of the roller coaster car at the top of the second hill, in meters per seconds.
- Height of the second top of the hill with respect to the bottom, in meters.
- Work done by non-conservative forces on the car bewteen the bottom between the two hills and the top of the second hill, in joules.
By using (1) and (2), we reduce the system of equation into a sole expression:
(3)
Where is the work done by non-conservative forces on the car from the top of the first hill to the top of the second hill, in joules.
If we know that ,
,
,
and
, then the work done by non-conservative force is:
The work done by non-conservative forces on the car from the top of the first hill to the top of the second hill is 6574.75 joules.