Prove : cos(3x)=sin(2x)
2 answers:
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Answer:
Explanation:
Using the tension in the spring and the force of the tension can by describe by
T = kx
, T = mg
Therefore:
With two springs, let, T1 be the tension in each spring, x1 be the extension of each spring. The spring constant of each spring is 2k so:
Solve to x1
Answer:
Δd =
Explanation:
As , when the car is making full stop,
.
. Therefore,
Apply the same formula above, with and
, and the car is starting from 0 speed, we have
As . After
, the car would have traveled a distance of
Hence
As we can simplify
After t time, the train would have traveled a distance of
Therefore, Δd would be
Answer
given,
time = 10 s
ship's speed = 5 Km/h
F = m a
a is the acceleration and m is mass.
In the first case
F₁=m x a₁
where a₁ = difference in velocity / time
F₁ is constant acceleration is also a constant.
Δv₁ = 5 x 0.278
Δv₁ = 1.39 m/s
a₁ = 0.139 m/s²
F₂ =m x a₂
F₃ = F₂ + F₁
Δv₃ = 19 x 0.278
Δv₃ = 5.282 m/s
a₃=Δv₂ / t
a₃ = 0.5282 m²/s
m a₃=m a₁ + m a₂
a₃ = a₂ + a₁
0.5282 = a₂ + 0.139
a₂=0.3892 m²/s
F₂ = m x 0.3892...........(1)
F₁ = m x 0.139...............(2)
F₂/F₁
ratio =
ratio = 2.8