Which ball has larger Inertia before touching the ground when it falls freely from a
certain height (air friction is zero)
a. mass 50 kg b. mass 25 kg
c. mass 10 kg d. All of these

Respuesta :

Answer:

[tex]Mass = 50kg[/tex]

Explanation:

Required

Which has the larger inertia

Inertia (I) is calculated as follows:

[tex]I = mr^2[/tex]

Where m represents the mass of the object and r represents the distance from the axis.

Take for instance m = 10 and r = 4

The inertia would be:

[tex]I = 10 * 4^2[/tex]

[tex]I = 160[/tex]

Assume r is constant and m is increased to 25

The inertia becomes:

[tex]I = 25 * 4^2[/tex]

[tex]I = 25 * 16[/tex]

[tex]I = 400[/tex]

Notice that there is an increment in inertia, when the mass increased.

Hence, mass of 50kg will have the larger inertia.