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Let’s tie this all together. It makes sense that, if the rope force remains greater than the gravitational force, the child keeps speeding up; and if the rope force becomes less than the gravitational force, the child slows down. By this line of intuitive reasoning, what happens to the child’s motion if the rope force equals the child’s weight, i.e., if the rope force "compromises" between being greater than and being less than the child’s weight? Explain.

Respuesta :

Answer:

If child weight is equal to rope force then child will move with uniform speed

or we can say that the child will remain at rest in his position

Explanation:

As we know that child is hanging by rope

so here there will be two forces on the child

1) Weight or gravitational force which act vertically downwards

2) Tension in the rope which act vertically upwards

Now if child will accelerate upwards then tension force must be more than the weight of the child

If tension force is less than the weight then child will decelerate and his speed will decrease

if tension force is equal to child weight then in that case the child will remain at rest or it will move with same speed

If the rope force equals to the child’s weight, then the child either will remain at rest or move with constant speed.

What is tension in the string or rope due to hanging weight?

Tension is the pulling force carried by the flexible mediums like ropes, cables and string. Tension in a body due to the weight of the hanging body is the net force acting on the body.

For the body with mass (m) hanging on a rope, the tension force of string can be given in three ways,

  • 1) The tension in the rope when body is at rest- At the rest the tension will be the product of mass time gravitational force.
  • 2) The tension in the rope when body is moving upward-When the body is moving upward, both the gravitational and acceleration force acting on it, and the magnitude of tension will be due to the sum of these two force.
  • 3) The tension in the rope when body is moving downward-When the body is moving downward, difference the gravitational and acceleration force acting on it.

Now in the problem, if the rope force remains greater than the gravitational force, the child keeps speeding up; and if the rope force becomes less than the gravitational force, the child slows down.

In the third case the rope force equals the child’s weight. It is the case of the tension in the rope when body is at rest. The child either will remain at rest or move with constant speed for this case.

Hence, if the rope force equals to the child’s weight, then the child either will remain at rest or move with constant speed.

Learn more about the tension in the string here;

https://brainly.com/question/25743940

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