A tugboat tows a barge at constant speed with a 3500-kg cable. If the angle the cable makes with the horizontal where it attaches to the barge and the tugboat is 22 degrees, find the force the cable exerts on the barge in the forward direction.

6929 N is the required component of force

Explanation:

If T is the tension of the cable, the two vertical forces T sin A balance the weight.

2 T sin A = Mg

The horizontal force exerted by the barge is,

T cos A = 0.5 Mg / tan A

M = 3500 kg

g = 9.8 m/s^2, that force is:

0.5 (3500) (9.8) / (tan 22 degrees)  

= 6929 N is the required component of force

freezing

deposition

condensation

explanation;

melting also called fusion is the process where solid becomes liquid, sublimation is the process where solid becomes gaseous without first changing to liquid, deposition involves change from gaseous to solid state, freezing involves change from liquid to solid, boiling or evaporation involves change of liquid to gaseous state, while condensation is the change from gaseous state to liquid state.

endothermic reactions involves absorption of heat from the surroundings or the environment while exothermic reactions involves loss of heat energy to the surroundings.

in this case, sublimation, evaporation and melting are endothermic reactions (gain energy from the environment) while, freezing, deposition and condensation are exothermic (loss of energy to the surroundings) reactions.