a sphere of mass 500.0g is released from point A 5m above the ground and slides down to point B 3.2m through point C 2m in frictionless wire track.

(1)determine the particle's speed at points B and C.
(2)determine the net work done by the force of graviy in moving the sphere from point A to C

ΔPE(A)=ΔKE(C)

mgΔh₁= mv(C)²/2
v(C)=sqrt(2gΔh)=
=sqrt{2•9.8•(5-2)}=7.67 m/s
KE(C) =KE(B) + Δ PE(B)
mv(C)²/2 =mv(B)²/2+ mgΔh₂
v(C)² = v(B)² + 2gΔh₂

v(B)=sqrt{ v(C)² -2g(3.2-2)} = …

W= mgΔh₁=…