The moment of inertia of a spherical shell is I = mr²

If two spheres have the same moment of inertia, then
I₁ = I₂
m₁(r₁)² = m₂(r₂)²

Solve for the second mass:
m₂ = m₁ (r₁/r₂)²

Given m₁ = 1 kg, r₁ = 2 m, r₂ = 1m,
m₂ = (1 kg) (2 m / 1 m)² = 4 kg

7 0

2 years ago

What is the distance between point A and point B?

Tpy6a [65]

Answer:

$\sqrt{45}$

Step-by-step explanation:

(5,9) and (2,3)

then by distance formula

$d = \sqrt{{(x1 - x2)}^{2} + {(y1 - y2)}^{2} }$

d²=3²+6²

d²=9+36

d²=45

$d = \sqrt{45 }$

8 0

2 years ago

Give the discriminant of the equation 0 = −x2+6x−9<br>please answer

Brut [27]

Answer:

x = 3

Steps:

$- ( {x}^{2} - 6x + 9) = 0$

$- {(x - 3)}^{2} = 0$

${(x - 3)}^{2} = 0$

$x - 3 = 0$

There you go!

8 0

2 years ago

Which statement best describes how to determine whether f(x) = 9 – 4x2 is an odd function?

Elza [17]

For this case we have the following definitions:

A function is even if, for each x in the domain of f, f (- x) = f (x). The even functions have reflective symmetry through the y-axis.

A function is odd if, for each x in the domain of f, f (- x) = - f (x). The odd functions have rotational symmetry of 180º with respect to the origin.

We then have the following function:

$f (x) = 9 - 4x ^ 2$

Applying the definitions we have:

$f (-x) = 9 - 4 (-x) ^ 2\\f (-x) = 9 - 4 (x) ^ 2\\f (-x) = f (x)$

Answer:

The function is not odd because it is fulfilled:

$f (-x) = f (x)$

Therefore, the function is even.

5 0

2 years ago

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