Ared ball of mass 5.57 kg is suspended between two walls on a string, as illustrated here. the weight of the ball causes the string to sag, making an angle \theta=θ= 19.4 degrees as indicated. what is the resulting tension f t t in the string, in newtons?

164.33 N

Explanation:

Given:

The mass of the ball, m = 5.57 kg

Angle made by the sag = 19.4°

it is required to find the tension in the string

Note: Refer the attached figure

The tension in the string will be caused by the weight of the wall

thus,

Weight of the ball, W = 5.57 kg × 9.8 m/s² = 54.586 N

Now the resolving the tension in the string into components as shown in the figure attached, the weight of the ball will be balanced by the sin component of the tension

thus,

W = sinΘ

or

54.586 N = sin 19.4°

or

= 164.33 N

Hence, the tension in the string will be 164.33 N