a) 3.56 x 10^22 N. b) 3.56 x 10^22 N. The sun’s mass is M = 2 x 10^30 kg, while the Earth's mass is m = 6 x 10^24 kg, with a distance of R = 1.5 x 10^11 m separating them. Applying Newton's law for gravitational force F = G (mM / R²), where G = 6.67 × 10^-11 m^3 kg^-1 s^-2 gives us F = 3.56 x 10^22 N. A) The gravitational force by the sun on Earth equates to the force exerted by Earth on the sun, which is also 3.56 x 10^22 N.
Answer:
0.128 rad/s², 7.66 rad/s
Explanation:
length, l = 66.4 cm
initial angular velocity, ωo = 0 rad/s
Let ω represent the final angular velocity.
Let α denote the angular acceleration.
number of revolutions, n = 36.6
time taken, t = 1 min = 60 seconds
Angle rotated, θ = 2πn = 2 x 3.14 x 36.6 = 229.85 rad
Apply the second equation of motion for angular dynamics

229.85 = 0 + 0.5 x α x 60 x 60
α = 0.128 rad/s²
Utilize the first equation of motion
ω = ωo + αt
ω = 0 + 0.128 x 60
ω = 7.66 rad/s
The result will be 21.6, but rounding yields 22J.