As we presume that the fluid density is greater than the gas density based on common sense, the volume of the balloon decreases. The mass per unit volume is known as fluid density.
Greek letter stands in for and (rho). Mass per length squared, or M/L3, is the unit of measurement for density. Specific Weight vs. Weight Density: A fluid density, also known as specific density, is determined by dividing the fluid's weight by its volume. Weight per volume of a fluid is also referred to as weight density.
A mathematical term called "volume" describes how much three-dimensional space is occupied by an item or a closed surface. The measurement of volume is done in cubic units, like m3, cm3, in3, etc.
Learn more about fluid density here
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Given,
The momentum of the object A before the collision, p₁ =80 Ns
The momentum of the object B before the collision, p₂=-30 Ns
Given that the objects stick together after the collision.
From the law of conservation of momentum, the total momentum of a system should always remain the same. Thus the total momentum of the objects before the collision must be equal to the total momentum of the objects after the collision.
Thus,

Where p is the total momentum of the system at any instant of time.
On substituting the known values,

Therefore the total momentum of the system is 50 Ns
Thus the momentum of the object AB after the collision is 50 Ns
Answer:
a) 2.94 N
b) 4.90 N
Explanation:
Let us assume that the weight of the ball is 0.98 N
Solution:
a) An object’s gravitational potential energy depends on two factors which are height and its weight (or mass). The equation for gravitational potential energy (PE) is given as:
Potential energy = weight (w) * height (h)
PE = wh
Potential energy at 2 m shelf = weight * height = 0.98 N * 2 m = 1.96 N
Potential energy at 5 m shelf = weight * height = 0.98 N * 5 m = 4.90 N
The work needed to lift the ball from the 2-m shelf to the 5-m shelf = Potential energy at 5 m shelf - Potential energy at 2 m shelf
The work needed to lift the ball from the 2-m shelf to the 5-m shelf = 4.90 N - 1.96 N = 2.94 N
b) Potential energy at 5 m shelf = weight * height = 0.98 N * 5 m = 4.90 N
Firstly models are just predictors, they are not exact models. Exponential growth <span>models are good when populations are small relative to the amount of resources available. ... This is where the </span>exponential<span> model breaks down. The </span>logistic<span> function tries to compensate for this with the carrying capacity.</span>
Answer:9.75 m/s
Explanation:
Given
Length of ladder 
Foot the ladder is moving away with speed of 
From diagram
------1
at 


Now differentiating equation 1 w.r.t time




negative indicates distance is decreasing with time