Si se aumenta la tentación en una cuerda, ¿que pasa con la velocidad de la onda?
1 answer:
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Answer:
(a) 0.115 m
(b) 2.08 x 10^-5 J
Explanation:
mass of bob, m = 81 g = 0.081 kg
The equation of oscillation is given by
θ = 0.068 Cos {9.2 t + Ф}
Now by comparison
The angular velocity
ω = 9.2 rad/s
(a)
where, L be the length of the pendulum
L = 0.115 m
(b) A = L Sinθ
A = 0.115 x Sin 0.068
A = 7.8 x 10^-3 m
Maximum kinetic energy
K = 0.5 x mω²A²
K = 0.5 x 0.081 x 9.2 x 9.2 x 7.8 x 7.8 x 10^-6
K = 2.08 x 10^-5 J
Answer: The race takes 126.21 seconds.
Explanation:
By definition:
Where "V" is speed, "d" is distance and "t" is time.
We know that the tortoise can run with a speed of , then:
Since the hare can run exactly 20 times as fast, its speed is:
Let be "x" the distance in centimeters traveled by the hare.
We know that the tortoise tortoise wins by 20.0 centimeters, then:
Let be "t" the time in seconds the race takes.
Since the hare stops to rest for 2.00 minutes (or 120 seconds), the time it takes to travel is given by:
Then, we can write the following expression for the tortoise:
[Equation 1]
And this expression for the hare:
[Equation 2]
Now we must substitute [Equation 2] into [Equation 1] and solve for "t":
The race takes 126.21 seconds.