A particle of mass m moves in a horizontal plane along the parabola y = 2x². At t=0 it is at the point (1;2) moving in the direction shown with speed vo. Aside from the force of constraint holding it to the path, it is acted upon by the following external forces: Fa = -Ar³ F₁ = B(−y²î + x²ĵ), where A and B are constants. a) Are the forces conservative? b) What is the speed of of the particle when it arrives at the origin? (Assume that the potential energy reference point is 2 at the origin) 10F2 деф OF OF 1(a(rF) OF curlF = ↑ + Ŷ + ra дг дл dr r дг дф Vo 1 x
A particle of mass m moves in a horizontal plane along the parabola y = 2x². At t=0 it is at the point (1;2) moving in the direction shown with speed vo. Aside from the force of constraint holding it to the path, it is acted upon by the following external forces: Fa = -Ar³ F₁ = B(−y²î + x²ĵ), where A and B are constants. a) Are the forces conservative? b) What is the speed of of the particle when it arrives at the origin? (Assume that the potential energy reference point is 2 at the origin) 10F2 деф OF OF 1(a(rF) OF curlF = ↑ + Ŷ + ra дг дл dr r дг дф Vo 1 x
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Transcribed Image Text:A particle of mass m moves in a horizontal plane along
the parabola y = 2x². At t=0 it is at the point (1;2)
moving in the direction shown with speed vo. Aside
from the force of constraint holding it to the path, it is
acted upon by the following external forces:
Fa = -Ar³
F₁ = B(−y²î + x²ĵ),
where A and B are constants.
a) Are the forces conservative?
b) What is the speed of of the particle when it arrives at
the origin?
(Assume that the potential energy reference point is
2
at the origin)
10F2
деф
OF
OF
1(a(rF)
OF
curlF =
↑ +
Ŷ +
ra
дг
дл
dr
r дг
дф
Vo
1
x
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