The distance that is traveled by the astronaut given that the motion is free-fall can be calculated through the equation,
d = Vot + 0.5at²
where d is the distance, Vo is the initial velocity, t is the time, and a is the acceleration. Substituting the known,
6 = (0 m/s)(2.7 s) + 0.5(a)(2.7 s)²
Determining the value of a,
a = 1.646 m/s²
ANSWER: 1.646 m/s²
Answer:
w = 0.55 rad / s
Explanation:
For this exercise let's use the conservation of angular momentum, let's write the moment in two moments
Initial
L₀ = r p + 0
L₀ = r mv
The first term is the angular momentum of the mass
Final
Lf = (I + m r²) w
Where I is the moment of inertia of the stool and the other term is the moment of inertia of the mass
L₀ = Lf
r mv = (I + m r²) w
w = m r v / (I + m r²)
Let's calculate
w = 2.0 0.45 3.0 / (4.5 + 2.0 0.45²)
w = 2.7 / 4.9
w = 0.55 rad / s
Generally, the internal resistance of the new battery is small, about 0.2 euros, while the old battery is large, close to 1 euro ,
To Build The Motor, Faraday Studied Electricity And Magnetism. Hope This helps!