Respuesta :

Its 1.6 kg

Remember

E = 1/2mv^2 is the kinetic energy of the ball. The energy is given to you so you need to solve for mass. Rearranging the equation gives you 2E/v^2 = 1.6

On account of motion to the downhill, the ball will have kinetic energy. And from the expression of kinetic energy, the obtained mass of the ball is 1.6 kg.

What is kinetic energy?

The energy possessed by an object due to its motion is known as kinetic energy.

Given data:

The speed of ball rolling down the hill is, v = 5 m/s.

The energy of ball is, E = 20 J.

Since, the rolling motion comes into action, when implies that kinetic energy of ball will be there. So, the expression for the kinetic energy is,

[tex]E = \dfrac{1}{2}mv^{2}[/tex]

Here,

m is the mass of ball.

Solving as,

[tex]20 = \dfrac{1}{2} \times m \times 5^{2}\\\\m =\dfrac{40}{25}\\\\m =1.6 \;\rm kg[/tex]

Thus, we can conclude that the mass of the ball is 1.6 kg.

Learn more about the kinematic energy here:

https://brainly.com/question/999862