The spring will come to rest 4.9 m below the natural length
Explanation:
The mass-spring system will come to rest when the restoring force on the spring (pulling upward) balances the weight of the mass (pulling downward). Mathematically, this can be written as

where
k is the spring constant
x is the elongation of the spring
m is the mass
g is the acceleration of gravity
In this problem, we have:
is the mass
is the acceleration of gravity
is the spring constant
Solving the equation for x,

Therefore, the spring will come to rest 4.9 m below the natural length.
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Efficiency = 1000/2000 = 0.5 = 50%
With the below stated fact I think that the pros of using synthetic materials outweighs the cons.
Before we answer the question
If the pros of using synthetic materials outweigh the cons or otherwise, let us first establish the what a synthetic material is and its pros and cons
Synthetic material
Synthetic material is a material in which a substances are changed chemically to produce a material with different characteristics.
Types of Synthetic material
- Plastic bag
- Synthetic fiber/cloth
- Artificial sweetener
- Synthetic fuel
- Aspirin
Pros of Synthetic materials
- They are used in construction because of there strong bonding
- They can be molded
- They can be colored into any shade
- They are cheap
Cons of Synthetic materials
- Sometimes none degradable
- They do not absorb water.
- They are highly flammable
- Melts easily
In conclusion
Although Synthetic materials has so very pressing disadvantages to human kind it is unrefusable the importance of Synthetic materials to the day to day live of all humans
Therefore, I think that the pros of using synthetic materials outweighs the cons
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Answer:
(a)
P₂ = 7.13 atm
(b)
T₂ = 157.14 K
Explanation:
(a)
V₁ = initial volume = 3.7 L = 3.7 x 10⁻³ m³
V₂ = final volume = 0.85 L = 0.85 x 10⁻³ m³
P₁ = Initial Pressure of the gas = 0.91 atm = 0.91 x 101325 = 92205.75 Pa
P₂ = Final Pressure of the gas = ?
Using the equation


= 722860 Pa
= 7.13 atm
(b)
T₁ = initial temperature =283 K
T₂ = Final temperature = ?
using the equation


T₂ = 157.14 K
i think the best answer for this question is B)