Question

Phobos, a moon of Mars, is one of the fastest moving and closest moons relative to planet. Phobos is moving closer to Mars every year and scientists believe that, even Phobos will collide with Mars. Let's analyze the inevitable collision, given that he Mars is 6.390 10“ kg, the mass of Phobos is 1.066 1016 kg and all of the mass from Photos stays attached to the surface of Mars after the collision. We will approximate the collision one dimensional, knowing that Mars is moving 24, 131 m toward Phobos and Phobos is moving 19, 222 toward Mars (the opposite direction to the velocity of Mars). (a) (10 points) Determine the change in velocity of Mars, during the collision. (b) (15 points) Determine the magnitude of the impulse that one of the bodies experiences, during the collision. Determine the average impulse force on Mars during the collision, if it takes two minutes for Phobos to be completely destroyed and stuck to the surface of Mars.

Answer 1