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(14.2) A block of mass m = 10 kg riding on a frictionless horizontal plane is...

(14.2) A block of mass m = 10 kg riding on a frictionless horizontal plane is subjected to five forces. The weight of the block and the normal force of contact with the plane both act in the vertical direction, cancel, and may be henceforth ignored. Three applied forces, →F1 , →F2 , →F3 , act horizontally on the block. The information that we have been able to gather about the applied forces is summarised as follows:

F1 = 10 N [→] F2 = 40 N [ ↓ ] F3 = 50 N [ +53.13◦ wrt x-axis ]

The initial velocity of the block is v0 = 2 m/s [←], while its initial position is r = (0 , 0)

(a) Sketch the applied force vectors on a FBD.

(b) Determine the net applied force.

(c) Determine the acceleration of the block. Is this acceleration constant?

(d) Determine the (i) velocity, and (ii) position of the block at t = 4 s

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