A uniform plate of height 1.160 m is cut in the form of a parabolic section. The

Question

A uniform plate of height 1.160 m is cut in the form of a parabolic section. The lower boundary of the plate is defined by: y=1.050x2. Find the distance from the rounded tip of the plate to the center of mass?

A space vehicle is traveling at 4100 km/h relative to the Earth when the exhausted rocket motor is disengaged and sent backward with a speed of 86 km/h relative to the command module. The mass of the motor is four times the mass of the module. What is the speed (km/h) of the command module relative to Earth after the separation?

Explanation / Answer

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first, forget about the 4100 km/h and just think about sending the motor off a stationary module. Use the conservation of momentum
(m)v = (4m) 86 to determine how much velocity the module is sent forward by, and add that to 4100km/h

(M + m)v0 = mv + M(v

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