Answer:
82780.42123 m/s
14.45 days
Explanation:
m = Mass of the planet
M = Mass of the star = 
r = Radius of orbit of planet = 
v = Orbital speed
The kinetic and potential energy balance is given by

The orbital speed of the star is 82780.42123 m/s
The orbital period is given by
The orbital period is 14.45 days
Answer:
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Explanation:
Kinetic energy (K.E) = 1/2 mass x velocity²
Momentum (P) = mass x velocity
K.E = 1/2 Pv
233 = 1/2 x 20.4 x v
v = 22.8 m/s
20.4 = 22.8m
m = 0.89 kg
Refer to the diagram shown below.
F = the minimum force required for opening the lid
r = 8.9/2 = 4.45 cm = 0.0445 m
P = the applied force, aplied at a distance of 13 cm = 0.13 m.
Because the required torque is 7.5 N-m, therefore
(0.13 m)*(P N) = 7.5 N-m
P = 57.6923 N
The equation for the lever requires that
0.13P = 0.0445F = 7.5
Therefore
F = 7.5/.0445 = 168.54 N
Answer: 168.5 N