Respuesta :
The total kinetic energy is 3.148 joule.
We need to know about kinetic energy to solve this problem. Kinetic energy is the energy from a moving object. It can be determined as
KE = 1/2 . m . v²
where KE is kinetic energy, m is mass and v is speed.
The rotational kinetic energy can be defined as
KErotation = 1/2 . I . ώ²
where I is moment of inertia and ώ is the angular velocity.
From the question above, we know that solid sphere has parameters
m = 2.36 kg
R = 0.66 m
v = 5.8 m/s
Find the moment of inertia
I = 2/5 m . R²
I = 2/5 . 2.36 . 0.66²
I = 0.411 kgm²
Find the angular velocity
ώ = v / R
ώ = 2.36 / 0.66
ώ = 3.58 rad/s
The linear kinetic energy is
KE = 1/2 . m . v²
KE = 1/2 . 2.36 . 0.66²
KE = 0.514 joule
The angular kinetic energy is
KErotation = 1/2 . I . ώ²
KErotation = 1/2 . 0.411 . 3.58²
KErotation = 2.634 joule
Hence, the total kinetic energy is
KE total = KE + KErotation
KE total = 0.514 + 2.634
KE total = 3.148 joule
Find more on kinetic energy at: https://brainly.com/question/25959744
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