A spaceship of mass 100 kg, headed toward Earth, has a speed of 12,000 m/s relative to the planet when it is 5 Earth radii from Earth’s center. Neglect the effects of Earth’s atmosphere on the spaceship. ME=5.98x1024 kg, RE=6.37x106 m, G=6.67x10-11 m3/kg-s2.

Express energy in scientific notation for example 123456 is 1.2346x10^5

Find the initial gravitational potential energy of the system.

Find the kinetic energy of the system.

Find the mechanical energy of the system.

Find the spaceship’s speed when it reaches the Earth’s surface. Round it to a whole number.

Athin plate moves between two parallel, horizontal, stationary flat surfaces at a constant velocity of v = 7.5 m/s. the two stationary surfaces are spaced 4 cm apart, and the medium between them is filled with oil whose viscosity is 0.9 n·s/m2. the part of the plate immersed in oil at any given time is 2 m long and 0.5 m wide. if the plate moves through the mid-plane between the surfaces, determine the force required to maintain this motion. what would your response be if the plate was 1 cm from the bottom surface (h2) and 3 cm from the top surface (h1)? if the plate moves through the mid-plane between the surfaces, the force required to maintain the motion will be n. if the plate was 1 cm from the bottom surface (h2) and 3 cm from the top (h1) surface, the force required to maintain the motion would be n.