Answer:
Time period of the osculation will be 2.1371 sec
Explanation:
We have given mass m = (B+25)
And the spring is stretched by (8.5 A )
Here A = 13 and B = 427
So mass m = 427+25 = 452 gram = 0.452 kg
Spring stretched x= 8.5×13 = 110.5 cm
As there is additional streching of spring by 3 cm
So new x = 110.5+3 = 113.5 = 1.135 m
Now we know that force is given by F = mg
And we also know that F = Kx
So ![mg=Kx](https://tex.z-dn.net/?f=mg%3DKx)
![K=\frac{mg}{x}=\frac{0.452\times 9.8}{1.135}=3.90N/m](https://tex.z-dn.net/?f=K%3D%5Cfrac%7Bmg%7D%7Bx%7D%3D%5Cfrac%7B0.452%5Ctimes%209.8%7D%7B1.135%7D%3D3.90N%2Fm)
Now we know that ![\omega =\sqrt{\frac{K}{m}}](https://tex.z-dn.net/?f=%5Comega%20%3D%5Csqrt%7B%5Cfrac%7BK%7D%7Bm%7D%7D)
So ![\frac{2\pi }{T} =\sqrt{\frac{K}{m}}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cpi%20%7D%7BT%7D%20%3D%5Csqrt%7B%5Cfrac%7BK%7D%7Bm%7D%7D)
![\frac{2\times 3.14 }{T} =\sqrt{\frac{3.90}{0.452}}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Ctimes%203.14%20%7D%7BT%7D%20%3D%5Csqrt%7B%5Cfrac%7B3.90%7D%7B0.452%7D%7D)
![T=2.1371sec](https://tex.z-dn.net/?f=T%3D2.1371sec)
Answer:
va = 4.79 m/s
vb = 1.29 m/s
Explanation:
Momentum is conserved:
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
(3.00) (0) + (6.50) (3.50) = (3.00) v₁ + (6.50) v₂
22.75 = 3v₁ + 6.5v₂
For an elastic collision, kinetic energy is conserved.
½ m₁u₁² + ½ m₂u₂² = ½ m₁v₁² + ½ m₂v₂²
m₁u₁² + m₂u₂² = m₁v₁² + m₂v₂²
(3.00) (0)² + (6.50) (3.50)² = (3.00) v₁² + (6.50) v₂²
79.625 = 3v₁² + 6.5v₂²
Two equations, two variables. Solve with substitution:
22.75 = 3v₁ + 6.5v₂
22.75 − 3v₁ = 6.5v₂
v₂ = (22.75 − 3v₁) / 6.5
79.625 = 3v₁² + 6.5v₂²
79.625 = 3v₁² + 6.5 ((22.75 − 3v₁) / 6.5)²
79.625 = 3v₁² + (22.75 − 3v₁)² / 6.5
517.5625 = 19.5v₁² + (22.75 − 3v₁)²
517.5625 = 19.5v₁² + 517.5625 − 136.5v₁ + 9v₁²
0 = 28.5v₁² − 136.5v₁
0 = v₁ (28.5v₁ − 136.5)
v₁ = 0 or 4.79
We know v₁ isn't 0, so v₁ = 4.79 m/s.
Solving for v₂:
v₂ = (22.75 − 3v₁) / 6.5
v₂ = 1.29 m/s
Answer: Greenhouse gases affect how much of the Sun's energy the Earth loses back to space. Predicting global temperature change is hard, even though the principle sounds easy. In simple terms, energy reaches Earth from the Sun.
Explanation:
Light is faster. Humans can travel faster than sound, however not light- nothing seems to go faster than 3×10∧8 meters per second.