Wiley Coyote and his Acme rocket, together having inertia of 1000kg, are speedin

Question

Wiley Coyote and his Acme rocket, together having inertia of 1000kg, are speeding after roadrunner. Upon seeing a large brick wall, he tries to slow down. Unfortunately, he's still going 5m/s when he runs into the wall. The wall is not affected, but the rocket crumples (the coyote hangs on), such that the center of mass of the rocket/coyote travels 50 cm between striking the wall and coming to rest. (only consider horizontal motion)

-What is the change of the center of mass of the rocket/coyote combination?

-What is the total work done by the wall on the rocket/coyote system?

-What is the magnitude of the average force on the rocket/coyote system?

Explanation / Answer

(a) |Fav | = m|acm | = m 2 (5 m )2 vi s = (1000kg) = 25, 000N 2x 2(0.5m) 1 opposite the direction of motion, of course. (The term for acm came from elimating t between x = 2 at2 and v = at.) Grading Key: Part (a) 2 Points Solution to Part (b) The point of application of the force does not move, so no work is done. Grading Key: Part (b) 2 Points Solution to Part (c) K = F xcm = -12, 500J or alternatively, 1 2 2 m(vf - vi ) = -12, 500J 2 The kinetic energy changes into dissipated energy (deformation, heat) since no work is done. K = Grading Key:

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