A) what is the initial angular momentum of the dart/block system relative to the

Question

A) what is the initial angular momentum of the dart/block system relative to the pivot part before the dart collides?

want L in terms of v, R M,m & constants

Lsys = Ldart + Lblock = Rmv

B)What is the total Momentum of the dart an block?

want inertia in

terms of v, r, M, m, L & constants

c) what is the final linear speed of the dart and block?

D to what height will the dart and block rise above the point at where they collide?(Energy conversation question)

what is the initial angular momentum of the dart/block system relative to the pivot part before the dart collides? want L in terms of v, R M,m & constants Lsys = Ldart + Lblock = Rmv What is the total Momentum of the dart an block? want inertia in terms of v, r, M, m, L & constants what is the final linear speed of the dart and block? D to what height will the dart and block rise above the point at where they collide?(Energy conversation question)

Explanation / Answer

A)mvR

B) total momentum of dart and block= mv

C) mv= (M+m)*vrequired

vreq=mv/(M+m)

D)kinetic energ of block + dart = 0.5*(M+m)*vreq^2 = 0.5*(M+m)*(mv/(M+m))^2

= m^2*v^2/(2*(M+m))

it is equal to potential energy at its highest point= (M+m)*g*h

equating them two h= (mv/(M+m))^2/(2*g)

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