A particle of mass `m=5.00kg` is released from point A and it slides on the frictionless track shown in figure. Determine (a) the particle's speed at points B and C and (b) the net work done by the gravitational force as the particle moves from A to C.

Explanation

a. `(Deltak)_(ArarrB)=sumW=W_g=mgDeltah=mg(5.00-3.20)`
`1/2mv_B^2-1/2mv_A^2=m(10)(1.80)`,
`v_A=0`
`impliesv_B=6ms^-1`
Similarly,
`v_c=sqrt(v_A^2+2g(5.00)-2.00))=7.7ms^-1`
b. `W_(g^|ArarrC)=mg(5.00-2.00)=150J`