W = Fdcosθ
W = (222N)(0.60m)cos120°
W = -66J
For the second part, use of a kinematics equation is useful.
Known values:
Initial velocity = 11m/s
Final velocity = 0m/s
Acceleration = 222/6m/s^2 (since F = ma, therefore a = F/m)
Kinematics equation: Vf^2 = Vi^2 + 2aΔd
Rearrange to solve for Δd.
(Vf^2 - Vi^2)/2a = Δd
Plug in values.
(-(11)^2)/2((222\6)) = -1.6m