The International Space Station has a mass 1.8 105 kg. A 70.0-kg astronaut inside the station pushes off one wall of the station so she accelerates at 1.50 m/s2.
What is the magnitude of the acceleration of the space station as the astronaut is pushing off the wall relative to an observer initially at rest relative to the space station before the push? A)
5.8 10-4 m/s2
B)
1.50 m/s2
C)
4.7 10-4 m/s2
D)
zero
E)
3.9 10-3 m/s2
Question 2
A solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping down a 35 incline that is 7.0 m long. Assume it started from rest. The moment of inertia of a sphere is given by I= (2/5)MR2.
(a) Calculate the linear speed of the sphere when it reaches the bottom of the incline.
(b) Determine the angular speed of the sphere at the bottom of the incline.
(c) Does the linear speed depend on the radius or mass of the sphere? Does the angular speed depend on the radius or mass of the sphere?