A1000-kg barge is being towed by means of two horizontal cables. one cable is pulling with a force of 80.0 n in a direction 30.0° west of north. in what direction should the second cable pull so that the barge will accelerate northward, if the force exerted by the cable is 120 n?

θ = 19.47°

Explanation:

given,

mass of the barge = 1000 kg

force applied to pull = 80 N

direction = 30° west to north

force exerted by the cable = 120 N

direction = ?

first cable is pulling

in north direction = 80 cos ∅

                             = 80 cos 30°

                             = 69.28 N

in west direction = 80 sin ∅

                             = 80 sin 30°

                             = 40 N

the other cable will pull in the opposite direction of west

now,

θ = 19.47°

the direction of the cable will be equal to θ = 19.47°

a.   mass number from atomic number