A3 kg penguin is pushed by his penguin friends who give him an initial speed vo at the top of a 30 m hill. the penguin is hoping this will be enough initial speed that he can make it all the way down this hill and up the next hill which is 45 m tall. neglecting friction and air resistance, what does the initial speed need to be for him to make it up this second hill?

On a horizontal frictionless surface, a small block with mass 0.200 kg has a collision with a block of mass 0.400 kg. immediately after the collision, the 0.200 kg block is moving at 12.0 m/s in the direction 30° north of east and the 0.400 kg block is moving at 11.2 m/s in the direction 53.1° south of east. use coordinates where the +x-axis is east and the +y-axis is north.(a) what is the total kinetic energy of the two blocks after the collision (in ) what is the x-component of the total momentum of the two blocks after the collision? (indicate the direction with the sign of your ) what is the y-component of the total momentum of the two blocks after the collision? (indicate the direction with the sign of your answer.)