A particle of mass m = 4.1 kg slides on a smooth, level surface. A force F = 4.47 N is applied to the particle so that as the particle moves on the surface; the force always acts towards the fixed point O. Initially, the particle is at P with coordinates x = ro = 1.25 m, y = 0 and has a velocity vo = 3 m/s in the y direction, as shown in the figure. The subsequent motion of the particle is such that it moves further away from O until it reaches a maximum distance r₁ from O at Q. V₁ link to image Q O F Vo P X Calculate the following: (a) the angular momentum Ho of the particle about O in its initial position at P. (b) the distance r₁ between O and Q, if the magnitude of the particle's velocity at Q is measured as V₁ = 0.73 m/s. (c) the work AU done on the particle by the force F as the particle moves from position P to position Q.

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A particle of mass m = 4.1 kg slides on a smooth, level surface. A force F = 4.47 N is applied to the particle so that as the particle moves on the
surface; the force always acts towards the fixed point O. Initially, the particle is at P with coordinates x = ro = 1.25 m, y = 0 and has a velocity vo = 3
m/s in the y direction, as shown in the figure. The subsequent motion of the particle is such that it moves further away from O until it reaches a
maximum distance r₁ from O at Q.
Q
link to image
F
O
F
Vo
P
X
Calculate the following:
(a) the angular momentum Ho of the particle about O in its initial position at P.
(b) the distance r₁ between O and Q, if the magnitude of the particle's velocity at Q is measured as v₁ = 0.73 m/s.
(c)
the work AU done on the particle by the force F as the particle moves from position P to position Q.
Ⓒ
Transcribed Image Text:A particle of mass m = 4.1 kg slides on a smooth, level surface. A force F = 4.47 N is applied to the particle so that as the particle moves on the surface; the force always acts towards the fixed point O. Initially, the particle is at P with coordinates x = ro = 1.25 m, y = 0 and has a velocity vo = 3 m/s in the y direction, as shown in the figure. The subsequent motion of the particle is such that it moves further away from O until it reaches a maximum distance r₁ from O at Q. Q link to image F O F Vo P X Calculate the following: (a) the angular momentum Ho of the particle about O in its initial position at P. (b) the distance r₁ between O and Q, if the magnitude of the particle's velocity at Q is measured as v₁ = 0.73 m/s. (c) the work AU done on the particle by the force F as the particle moves from position P to position Q. Ⓒ
(a) 15.4 kg m^2/s
(a) 18.5 kg m^2/s
(a) 6.4 kg m^2/s
(a) 10 kg m^2/s
(b) 0.30 m
(b) 3.34 m
(b) 5.14 m
(b) 4.11 m
(c)-14.9 J
(c) 14.9 J
(c)-17.4 J
(c) 17.4 J
entum Ho of the p
(b) the distance r₁1 between O and Q,
Transcribed Image Text:(a) 15.4 kg m^2/s (a) 18.5 kg m^2/s (a) 6.4 kg m^2/s (a) 10 kg m^2/s (b) 0.30 m (b) 3.34 m (b) 5.14 m (b) 4.11 m (c)-14.9 J (c) 14.9 J (c)-17.4 J (c) 17.4 J entum Ho of the p (b) the distance r₁1 between O and Q,
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