Here elastic balloon launcher will behave like an ideal spring
so here we have
spring constant k = 115 N/m
mass of balloon = 1.3 kg
Part a)
Stretch in the band is given as
x = 0.8 m
now the force on the balloon is given by
F = k x
now from above

so it will exert 92 N force on it
Part b)
Elastic potential energy is given as

so here we have


Part c)
Here in this case we can say that kinetic energy gained by the balloon must be same as the elastic potential energy stored in the rubber because there is no energy loss in this system
So kinetic energy = 36.8 J
Part d)
As we know by the formula of kinetic energy



so speed of the balloon will be 7.52 m/s
Answer:
Acid mine drainage is dissolved toxic materials wash from mines into nearby lakes and streams.
Explanation:
Acid mine drainage is the flow of acidic water with pH typically between 2 and 4, and high concentrations of other dissolved toxic materials from mines into nearby lakes and streams. It mainly occurs during metal sulfide mining, when the metal sulfide ore such as pyrite (FeS2) is exposed to water and oxygen from air to produce soluble iron and sulfuric acid.
Microorganisms, especially acidophile bacteria like Acidithiobacillus ferrooxidans grow by pyrite oxidation, i.e., oxidizing the Fe²⁺ in pyrite to Fe³⁺, which again react with pyrite and water to produce sulfuric acid. Then the acidic water flows into nearby water sources and reduces the pH value of water in those sources. As a result, heavy metals such as copper, lead, mercury, etc in other mineral ores also get dissolved into the water. The action of acidophile bacteria also increases the rate and degree of acid-mine drainage process.
The acid mine drainage causes water pollution and adversely affect the aquatic plants and animals. It also results in the contamination of drinking water, corrosion of infrastructures such as bridges, etc.
Isn’t that a mountain because it’s going up to the middle
Answer:
C) 464 N
Explanation:
The equation of the forces acting on the skydiver is:

where
(mg) is the weight of the skydiver, acting downward, with
m being the mass of the skydiver
g is the acceleration of gravity
R is the air resistance, acting upward
a is the acceleration of the skydiver
In this problem:
m = 80 kg
g = 9.8 m/s^2
a = 4.0 m/s^2
Solving the equation for R, we find the force of air resistance:

Answer:
Part a)

Part b)

Explanation:
Part a)
as the mass of the suspension system is given as

also we have

so now for force balance we have



Part b)
Now we know that amplitude decreases by 63% in each cycle
so after one cycle the amplitude will become 37% of initial amplitude
so it is given as

also we know




here t = time period of one oscillation
so it is



now damping constant is

