During the formation of our solar system, the nebular dust began to cool and sections began to condense. Eventually, small grain
2 answers:
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Answer:
A) 15.0 years
Explanation:
Due to the distance to the star system is in light-year units, we can compute the time by using:
then, Rob will take to complete the trip about 15 light-years.
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Answer:
(a) Angular acceleration is 1.112 rad/s².
(b) Average angular velocity is 2.78 rad/s .
Explanation:
The equation of motion in Rotational kinematics is:
θ = θ₀ + 0.5αt²
Here θ is angular displacement at time t, θ₀ is angular displacement at time t=0, t is time and α is constant angular acceleration.
(a) According to the problem, θ is 13.9 rad, θ₀ is zero as it is at rest and t is 5 s. Put these values in the above equation:
13.9 = 0 + 0.5α(5)²
α = 1.112 rad/s²
(b) The equation of average angular velocity is:
ω = Δθ/Δt
ω =
ω = 2.78 rad/s
We will have the following:
First, the equation to use is the following:
Now, we transform the total distance the cat would need to travel:
So, the cat would need to travel 1.5 meters. ("d" in the equation).
Now, using the speed given we determine the time it would take the cat to traverse the 1.5 meters:
So, the time it would take the cat to traverse the distance will be approximately 3.33 seconds.
Now, we know that the acceleration will be given by Earth's gravity, so:
So, the initial vvelocity the cat must leave the floor in order to arrive at the butterfly with the optimum pouncing speed of 0.45 m/s is approximately 16.78 m/s or exactly 1007/60 m/s.