Components of the force in (x1, 2,3) is given by the vector f-fsuppose that you transform to a new set of orthogonal axes '2.f'3) at the same origin but rotated by +30° about the 3 axis. what are the direction cosines, i. e., the elements of the rotation matrix rz(+30), and label them clearly as done in class? a. b. using (a), what are the components of f in (r',23), .e., what are fi? can give magnitude.) show that they are equal. d. why must the magnitude of the forces (result in (c)) be equal? e. if fi 1, f2 -2, and fa 3 (in newtons), what is the vector f and its magnitude?

11. you want to calculate the displacement of an object thrown over a bridge. using -10 m/s2 for acceleration due to gravity, what would be the total displacement of the object if it took 8 seconds before hitting the water?

Spend time observing or thinking about events that involve matter and energy. which events can you explain? which events can’t you explain?

Ateam of astronauts is on a mission to land on and explore a large asteroid. in addition to collecting samples and performing experiments, one of their tasks is to demonstrate the concept of the escape speed by throwing rocks straight up at various initial speeds. with what minimum initial speed vesc will the rocks need to be thrown in order for them never to "fall" back to the asteroid? assume that the asteroid is approximately spherical, with an average density p 3.84 x108 g/m3 and volume v 2.17 x 1012 m3 recall that the universal gravitational constant is g 6.67 x 10-11 n m2/kg2