Question

**This is a dynamics problem. To solve this problem, a coordinate system must be implemented (cartesian, spherical, or path coordinates). Please include explanations/steps. Thank you in advance!**

A device of mass M (the blue object contains a pellet of mass m (the red object). Initially, both are stationary while suspended in a standard gravitational field below a fixed support by a string of Length L. A mechanism inside the device then ejects the pellet with a velocity relative to the device of vo to the left as shown in the sketch. Determine the distance the device rises before momentorily stopping 1111111111 1111111111111 30

Answer 1

• LLLL Solution' from law of conserwateen ol momentum Initial momentum = final moment une initially since the system is at vest Here 1 . Pinitial = 0 visuelocity of the Pfinal = Final momentum = m Vo + MV' bigger mass :. Applying lew of conservation of energy O=mbo + Mu' W = -m vol direction of is opposite to V. :. The bigger mass equires a velocity v as the mass starts to swing and rise, the initial Kinetic energy will get converted into potential Energy. Hence when the object will moment arily stop whole of is the initial kinetic energy will get converted to Potentical energy Hence kEinitial a PE final IM)* Mght; (')*5H we know that v's -MVO : - Height raised het now that was made In- men det er noe ige m ? V.2 H M2