Mu = 8.66 × 10^25 kg
Explanation:
centripetal force = gravitational force
where
m = mass of moon Ariel
mu = mass of Uranus
r = radius of Ariel's orbit
v = Ariel's velocity around Uranus
To find the velocity, we need to find the circumference of the no orbit and then divide it by the period (2.52 days):
circumference = 2πr = 2π×(1.91 × 10^8 m)
= 1.2 × 10^9 m
period = 2.52 days × (24 h/1 day)×(3600 s/1 hr)
= 2.18 × 10^5 s
v = (1.2 × 10^9 m)/(2.18 × 10^5 s)
= 5.5 × 10^3 m/s
(5.5 × 10^3 m/s)^2/(1.91 × 10^8 m) = (6.67 × 10^-11 m^3/kg-s^2)Mu/(1.91 × 10^8 m)^2
Solving Mu,
Mu = 8.66 × 10^25 kg
Its false I got It right .
Answer:
w = 0.886 rad / s
Explanation:
Angular and linear variables are related
a = α r
where a is the linear acceleration, α the angular acceleration and r the radius of gyration
α = a / r
the angular velocity we can find it
w² = w₀² + 2 α θ
the initial angular velocity is zero, the angles to be horizontal is
θ = π/ 2 rad
we substitute
w = √ 2 a / r θ
we calculate
w = √ (2 3/12 π/2)
w = 0.886 rad / s
Answer:
Explanation:
Given the initial velocity of the clown, his mass and final height we can calculate the final kinetic energy using the <em><u>conservation of total mechanical energy</u></em>
Since 
