A particle moves from P₁ to P₂ along a smooth quarter-circle of radius 6 m under forces $\vec{F}$ ₁, $\vec{F}$ ₂, $\vec{F}$ ₃. F₁ has constant magnitude 20 N and always points toward P₂; $\vec{F}_2$ is always horizontal with magnitude 30 N; $\vec{F}_3$
is tangential with magnitude 15 N. Select the correct statements.
Select all that apply

Question

A particle moves from P₁ to P₂ along a smooth quarter-circle of radius 6 m under forces $\vec{F}$ ₁, $\vec{F}$ ₂, $\vec{F}$ ₃. F₁ has constant magnitude 20 N and always points toward P₂; $\vec{F}_2$ is always horizontal with magnitude 30 N; $\vec{F}_3$

is tangential with magnitude 15 N. Select the correct statements.

Select all that apply

G1 Physics · Accepted Answer

For F₂, horizontal displacement from P₁ to P₂ is 6 m, so W₂=30×6=180 J. F₃ is tangential over quarter-circle length 3π m, so W₃=15×3π=45π J. The field corresponding to F₁ has work determined only by distance to P₂ and is conservative; the stated 120 J for F₁ is not correct. Hence B,C,D.