Answer:
Density of the liquid = 1470.43 kg/m³
Explanation:
Given:
Mass of solid sphere(m) = 6.1 kg
Density of the metal = 2600 kg/m³
Thus volume of the liquid :
Volume of the sphere = 6.1 kg/2600 kg/m³ = 0.002346 m³
The volume of water displaced is equal to the volume of sphere (Archimedes' principle)
Volume displaced = 0.002346 m³
Buoyant force =
Where
is the density of the fluid
g is the acceleration due to gravity
V is the volume displaced
The free body diagram of the sphere is shown in image.
According to image:
Acceleration due to gravity = 9.81 ms⁻²
Tension force = 26 N
Applying in the equation to find the density of the liquid as:
Thus, the density of the liquid = 1470.43 kg/m³
The hang time of the student is 0.64 seconds, and he must leave the ground with a speed of 3.13 m/s
Why?
To solve the problem, we must consider the vertical height reached by the student as max height.
We can use the following equations to solve the problem:
<u>Initial speed calculations:</u>

At max height, the speed tends to zero.
So, calculating, we have:
<u>
</u>
<u>Hang time calculations:</u>
We must remember that the total hang time is equal to the time going up plus the time going down, and both of them are equal,so, calculating the time going down, we have have:

Then, for the total hang time, we have:

Have a nice day!
Pelvic girdle
In human anatomy, the pelvis is a complex of bones that connects the trunk and the legs, supports and balances the trunk, and houses and supports the intestines, the urinary bladder, and the internal organ. It is sometimes referred to as the bony pelvis or the pelvic girdle.
One is located on the left side of the body and the other is located on the right. They come together to make the pelvic girdle, a portion of the pelvis. The hip bones are attached to the upper portion of the skeleton at the sacrum.
The pelvic girdle's main function is to support the upper body's weight while seated and transfer that weight to the lower limbs while standing. For the muscles in the trunk and lower limbs, it functions as attachment point.
To learn more about pelvic girdles please visit -
brainly.com/question/24394348
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