Respuesta :

The correct answer of this question is : 10.2 Kg.

EXPLANATION :

As per the question, the tension produced in the cable is given as T = 100 N.

We are asked to calculate the mass of the ball.

The tension is produced in the cable when the ball is hanged from the cable.

When the ball is hanged from the cable, its weight acts in vertical downward direction. The tension produced in the cable will balance the weight to be in equilibrium.

Hence, the weight of the ball = tension produced in the rope.

Let the mass of the ball is m.

The weight of any body is equal to the product of its mass with acceleration due to gravity.

Hence, weight of the ball W = mg.

From above, we know that W = T

                                           ⇒ mg = 100 N.

                                          ⇒ m = [tex]\frac{100}{g}\ Kg[/tex]

                                                   = [tex]\frac{100}{9.8}\ Kg[/tex]

                                                   = 10.2 Kg.

Here, g is known as acceleration due to gravity. It's value is [tex]9.8\ m/s^2[/tex]

Hence, mass of the ball is 10.2 Kg.

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