a boy pulls his toy on a smooth horizontal surface with a rope inclined at 60° to the horizontal if the effective Force pulling the toy along the horizontal surface is 5-newton calculate the tension in the rope

The tension in the rope is 10 N

Explanation:

The Force Vector

Like all vectors, the force has a magnitude and direction. Vectors can be decomposed into two perpendicular components on both axes.

The tension in the rope (F) can be calculated by using vector decomposition as follows.

The figure included below shows a force F which horizontal component is known to have a value of Fx= 5 Nw. The angle formed by the force and its horizontal component is 60°.

We can use the trigonometric ratio called the cosine to find the magnitude of F as follows:

Solving for F:

Thus, F = 10 N

The tension in the rope is 10 N

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Is a  vector quantity  that refers to "the rate at which an object changes its position." imagine a person moving rapidly - one step forward and one step back - always returning to the original starting position. while this might result in a frenzy of activity, it would result in a zero velocity. because the person always returns to the original position, the motion would never result in a change in position. since velocity is defined as the rate at which the position changes, this motion results in zero velocity. if a person in motion wishes to maximize their velocity, then that person must make every effort to maximize the amount that they are displaced from their original position. every step must go into moving that person further from where he or she started. for certain, the person should never change directions and begin to return to the starting position.