One end of a 7-cm-long spring is attached to the ceiling. When a 5.4 kg mass is hung from the other end, the spring is stretched
1 answer:
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Answer:
The value is
Explanation:
From the we are told that
The initial speed of the object is
The greatest height it reached is
Generally from kinematic equation we have that
At maximum height v = 0 m/s
So
=>
Here H is the height from the initial height to the maximum height
So the initial height is mathematically represented as
=>
=>
Generally the time taken for the object to reach maximum height is mathematically evaluated using kinematic equation as follows
At maximum height v = 0 m/s
=>
Generally the time taken for the object to move from the maximum height to the ground is mathematically using kinematic equation as follows
Here the initial velocity is 0 m/s given that its the velocity at maximum height
Also g is positive because we are moving in the direction of gravity
So
=>
Generally the total time taken is mathematically represented as
=>
=>
Answer:
The angle for the forward Mach line is 19.47°
The angle for the rearward Mach line is 5.21°
Explanation:
From table A-1 (Modern Compressible Flow: with historical perspective):
(M₁ = 3)
If Po₁ = Po₂
Table A-1:
Table A-5:
v₁ = 49.76°
μ₁ = 19.47°
v₂ = 60.55°
μ₂ = 16°
θ = 60.55 - 49.76 = 10.79°
The angle for the forward Mach line is:
μ₁ = 19.47°
The angle for the rearward Mach line is:
θr = μ₂ - θ = 16 - 10.79 = 5.21°